Inorganic Chemistry ACS: Study Guide – Flashcards

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Ionization energy
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energy required to remove the least tightly bound electron from a neutral atom in the gas phase
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periodic trend of ionization energy
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highest at top right-smaller electron=harder to remove
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Why is a half filled subshell so stable?
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it serves to maximize the stabilizing interactions while minimizing the destabilizing interactions among electrons
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exchange interaction
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pie, stabilizing, result of electrons pairing in degenerate orbitals with parallel spin
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pairing energy
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destabilizing, coulomb interaction, pic, energy of electron-electron repulsion in a filled orbital
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Is it easier to ionize a high energy or low energy electrons
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high energy electron-already contains more energy so it requires less energy input
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What happens when a 3d series metal is ionized?
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the first electron to be ionized will come from the 4s orbital, the other s electron will enter the d orbital (4s03dn+1)
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lanthanide contraction
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reduction in atomic radius following the lanthanide series, contrary to the overall trend observed for the periodic table
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lanthanides
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elements 57-71, first appearance of f orbitals, f orbitals are poor at shielding so any electrons dded will have a higher Zeff, shrinking the radius
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Slater's rules
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tell us what the effective nuclear charge will be, Zeff=Z-sigma, Z is the atomic number, sigma=sum of the number of electrons in a given subtle multiplied by a weighting coefficient (page 1)
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Shielding
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the reduction in charge attraction between the nucleus and electrons due to electrons between the nucleus and the electron in question, it is considered the be between if it has a lower energy
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penetration
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when an electron of a higher atomic orbital is found within the shell of electrons of a lower atomic number, that is to say that an electron of higher energy is found within an orbital of lower energy
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electron affinity
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the difference in energy for a neutral gaseous atom, and the gaseous anion. used interchangeably with electron gain enthalpy. more positive=more stable EA with the additional electron, more positive EGE=more stable with extra electron
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Combination of electron affinity and ionization energy
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electronegativity, overall measure of an atoms ability to attract electrons to itself when part of a compound, fluorine has highest electronegativity
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polarizability
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an atoms ability to be distorted by an electric field, regions of a molecule can take on partial positive or partial negative charge
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Why do we use the hydrogen system approximation
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systems involving multiple electrons are much more complex, and they require the use of quantum mechanics
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What is the formula for the energy of a hydrogen orbital
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E=-13.6(eV)*(Z^2/n^2), h is plancks constant (background on pg 4)
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Energy can be expressed in...
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Joules, wavenumber, inverse centimeters
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quantum number N
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principle quantum number, defines energy and size of orbital
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quantum number L
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orbital angular momentum quantum number, defines the magnitude of the orbital angular momentum, as well as the angular shape of the orbital, L can have values of 0 to n-1.
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quantum number Ml
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magnetic quantum number, describes the orientation of the angular momentum, ml can have values of 0 to +/-1
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quantum number Ms
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spin magnetic quantum number, defines intrinsic angular momentum of an electron, Ms can have values of either +1/2 or -1/2
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Radial wavefunction
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(R(r)), along with the angular wavefunction, gives us the orbitals. With a wave function it is possible to completely characterize a particle, goes to zero at infinity, produce characteristic shapes when graphed
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Radial distribution function
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a plot of R^2(r)r^2, tells us probability of finding an electron at a certain distance from the nucleus, every orbital has a different radial distribution function and a node on the graph is a region of zero probability
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Bohr radius
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the most probably distance to find the electron in a one proton, one electron system (52.9 pico-meters)
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What orbitals correspond to l=0 through l=4
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L=0=s, L=1=p, L=2=d, L=3=f, L=4=g
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Building up principle/Hund's rule
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when degenerate orbitals are available for occupation, electrons occupy separate orbitals with parallel spin
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Pauli exclusion principle
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no more than two electrons can occupy a single orbital, and to do so, their spins must be paired
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Descibe VSEPR
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purpose is to predict molecular geometries, basic assumption is that regions of enhanced electron density take positions as far apart as possible in order to minimize repulsive forces.
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Relative repulsion strengths VSEPR
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lone pair> multiple bonds> single bonds
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Valence bond theory
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explains chemical bonding by considering the overlap of tomic orbitals, wave patterns of atomic orbitals interfere constructively to form a bond, sigma is formed when orbital overlap has cylindrical symmetry, pi bond forms when they overlap side by side after the formation of a sigma bond
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How is hybridization used in valence bond theory
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explains bonding where the number of equivalent bonds exceeds the number of valence orbitals
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Effect of a lone pair on geometry?
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it pushes strongly against all other substituent. It is the strongest force governing the shape of a molecule
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Molecular orbital theory
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an improvement over valence bond theory in that the bonding description extends to all atoms in a molecule and handles polyatomic molecules, atomic orbitals combine to form molecular orbitals which are delocalized descriptions of electron distribution
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MO theory assumptions
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orbital approximation, linear combinations of atomic orbitals
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Orbital approximation
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the wave function describing all of the electrons of a molecule can be written as a product of the one electron avefunctions
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linear combination of atomic orbitals
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the superposition of multiple atomic orbitals of same type along with weighting coefficients
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H2 and H2-like molecules
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the 1s orbitals are of equal energy so they lie at the same level of the diagram, atomic orbitals combine to form one sigma orbital which is lower in energy than one anti bonding sigma orbital which is higher in energy
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Li2 through N2 (period 2)
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energy contributing to each atom is the same, 2s orbitals combine to form a bonding 1sigmag and an anti bonding sigmau, as well as a bonding 2sigmag, although that MO is mainly 2p in character. 2p combine as follows: lowest energy orbitals are two degenerates 1piu followed by 2sigmag. Following that is anti bonding orbital 1pig (doubly degenerate) ad 2sigmau
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Period 2: O2, F2 etc, why not Ne2?
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difference is MO diagram's relative energies of the bonding orbitals piu and pig
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H-X
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H is something that bonds through 2p and 2s orbitals, relative energies of the atomic orbitals are taken into account because there are two separate atoms, H1s is usually higher in energy, 4 atomic orbitals of X will mix with 1s of H to give 5 molecular orbital. Anti bonding is mostly H in character while the other 4 are mostly X
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X-Y
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relative energies are taken into account, more electronegative=lower energy of orbitals
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Relative energies of MOs
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4sigma>2pi>3sigma>1pi>2sigma>1sigma
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Plyatomic MO
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must use approximations of MO theory. Linear combinations of Atomic orbitals create a cumulative approximation of the atomic orbitals of its constituent atoms, compare orbitals to determine what will mix
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LCAO notation
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a,b=nondegenerate, e=doubly degenerate, t=triple degenerate
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LCAO energies
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lowest=a (nondegenerate) intermediate=e highest=t
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LCAO
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linear combinations of atomic orbitals
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Bond order
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a method to assessing overall bond strength between two atoms in a molecule, higher bond order=stronger bond, assesses net number of bonds between two atoms
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Calculating bond order
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(bonding-antibonding)/2
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How to assign bonding character-bonding
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a bonding orbital will lie lower in energy than its substituent atomic orbitals
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How to assign bonding character-nonbonding
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a nonbonding orbital will equal in energy to its corresponding atomic orbitals
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How to assign bonding character-antibonding
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an antibonding orbital will lie higher in energy than its substituent atomic orbitals
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HOMO interactions
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highest occupied molecular orbital, highest energy electrons reside
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LUMO interactions
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lowest unoccupied molecular orbital, it is the energy level directly above the homo
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Importance of HOMO/LUMO
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critical to electron structure, when excited an electron is promoted from HOMO to LUMO. bonding and anti bonding characteristics determine stability, the frontier orbitals are the point of interaction and basis of understanding for molecular interaction
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paramagnetism
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if there are two unpaired electrons
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metallic bonding
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the bonding and ordering of metals into pure solids or solid solutions, viewed as enormous molecules with continually overlapping atomic orbitals
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ionic bonding
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ions of different elements held together in rigid, symmetrical arrays as a result of attraction between their opposite charges
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lattice
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a 3D infinite array of lattice points which define the repeating structure of a crystal
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unit cell
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an imaginary, parallel sided region from which the entire crystal can be built, such that it fits perfectly together, giving rise to a crystal system.
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7 types of crystal systems
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cubic, tetragonal, orthorhombic, monoclinic, triclinic, rhombohedral, hexaganol
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Primitive unit cell
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contains only one lattice point
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body centered
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two lattice points per unit cell
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face centered
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four lattice points per unit cell
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body centered cubic
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3D version of body centered
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close packed
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structure type with least unfilled space
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coordination number
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the number of nearest neighbors, number of other spheres that a single sphere is touching in the unit cell
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cubic close packed
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ABCABC repeating layer of spheres (ABAB results in hexagonally close packed)
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face centered cubic
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same thing as cubic close packed
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hole
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unoccupied space between spheres, can be octahedral, where they lie between triangles and form a hexagon, or tetrahedral where it is formed by a planar triangle of touching spheres
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polymorphism
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the ability of a metal to adopt different crystal structures based on the temperature and pressure
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alloy
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a blend of different metals, more formally called a solid solution
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substitutional solution
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when a solute metal atoms take up the positions of solvent metal atoms in the crystal structure
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interstitial solid solution
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when the solute metal atoms take up positions in the holes of the solvent crystal structure
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lattice enthalpy
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the standard enthalpy change of accompanying the formation of a gas of ions from a solid, measure of strength of the solid
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born haber cycle
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a type of flow chart used to determine the lattice enthalpies and other parameters governing how a solid behaves
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van der waals interaction
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non electrostatic contributions to the lattice enthalpy, the london dispersion interaction is the most dominant VDW interaction, the transient fluctuations in electron density that result in temporary, induced dipoles
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non-stoichiometric compound
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substance that exhibits variable composition but retains the same structure type
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conductor
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a substance with an electric conductivity that decreases as temperature is increased
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semi conductor
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a substance with an electric conductivity that increases as temperature is increased
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insulator
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negligible conduction, but if it is possible to measure, it increases with temperature
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super conductor
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have zero resistance below a critical temperature
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band
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a near continuous array of energy levels, due to the large number of symmetrically oriented atomic orbitals in a solid with very similar energy levels
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band gap
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a separation of bands, due to there being no energy value for the molecular orbital
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s/p band
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the bands built from s and p orbitals
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fermi level
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the highest occupied energy level in a solid at T=0
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parameters for a substitutional solid solution?
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atomic radii of elements are within 15% of each other, crystal structures of two pure metals are the same (directional forces are compatible), electropositive characteristics of both compounds are similar, otherwise electron transfer would be likely
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parameters for an interstitial solid solution
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usually form between metals and small groups, small atom must not transfer electrons or there would be an ionic species, must have a radius all enough to fit in the hole (.414 * radius of metal)
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Most stabilizing influence on a solid?
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lattice enthalpy
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high lattice enthalpy effect on solid
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if high charge and small distance, strongly stabilizing, at highest when tightly packed and ion charge is dense
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low lattice enthalpy effect on solid
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is small charge and large distance the solid is not stable
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born mayer equation
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allows us to estimate the lattice enthalpy from charge and separation at T=0
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Why does solubility depend on lattice enthalpy
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solubility is a product of enthalpy and hydration enthalpy. lattice enthalpy is the energy required to break apart an ionic solid so the solubility is dependent on that value. If thee is a large difference between ionic sizes, the compound is likely to be soluble in water because the ways in which lattice enthalpy and hydration enthalpy depend on the radius (difference in size increases=lattice enthalpy decreases=hydration enthalpy increase)
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solvent levelling
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the ordering of water molecules around a dissolved ion. the more charge dense an ion is, the more it order the water. This is entropically unfavorable, so it acts against processes that seek to break apart ions in solution
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Discuss band theory
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connected to MO theory, continuum of overlapping orbitals, lowest energy orbitals have no nodes between neighboring atoms, highest energy orbitals have nodes between every pair of neighbors, the energy separation between neighboring orbitals approaches zero, creating a near continuous energy spectrum
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band theory s band
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forms between s orbitals
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band theory p band
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forms between p orbitals
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conductors and band theory
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partially filled bands at low energy levels so the electrons are promoted easily, vigorous vibrations, such as those due to thermal energy, disrupt the band structure and decrease conductivity
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insulators and band theory
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filled bands with a large energy differential separating them, filled band is called the valence band and the next higher band is called the conduction band
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types of semiconductors
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intrinsic semiconductor, extrinsic semiconductor, n-type, p-type
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intrinsic semiconductor
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filled s band and empty p band, energy gap is very small so the electrons can be promoted by thermal energy, promotion of electrons results in positive holes in the valence band amounting to a charge separation, which allows current to flow,
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extrinsic semiconductor
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a material gains the ability to be a semiconductor because of intentionally added impurities, which increase the number of electron carriers
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N-type
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n means negative, dopant supplies additional electrons to the solid structure, these electrons like below the valence band in energy and close to the conduction band so the gap is much easier to jump
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P-type
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p means positive, the dopant material has less valence electrons than the parent material. the holes it creates lie just above the valence band in energy, so electrons can jump to the acceptor band to allow current to flow
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what conditions are needed for electrons to flow through a solid
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a small energy difference and unfilled orbitals
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lewis acid
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electron pair acceptor
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lewis base
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electron pair donor
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bronsted lowry acid
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proton donor
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bronsted lowry base
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proton acceptor
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hard acids bond in order of
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I<Br<Cl<F
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soft acids bond in order of
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F<Cl<Br<I
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soft acids/soft bases
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larger, more polarizable
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hard acids/hard bases
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smaller and more charge dense
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HSAB bonding patterns
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hard acids/bases to hard acids/bases, soft to soft
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How does covalence apply to HSAB
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cation covalence increases as size of anion increases, anion covalence increases and size of cation decreases, covalence increases as charge increases, covalence in larger for non-noble configurations
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what contributes to the gibbs energy of complex formation? (other than type of bond formed)
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competition with solvent, rearrangement of subsituents of the acid and base that may be necessary for formation of the complex, steric repulsion between substituents on the acid and base
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criteria for categorization of HSAB
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no definite criteria, based on experimentally determined evidence usually relating to complex formation
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amphiprotic substance
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a molecule that can act as both a bronsted acid and base
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relationship between a strong acid and its conjugate base
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strong acid will have a weak conjugate base, strong base will have a weak conjugate acid, strong acid will remain deprotonated, strong base remains protonatedKa
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Ka for a bronsted acid
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Ka=([A-][H3O+])/[HA]
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range and meaning of Ka
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high Ka=one introduced to the solution, HA immediately and completely converts to A- and H3O+ (except for one in every Ka value (10^11 in case of HI)). Strong acids have high Ka and weak acids have small Ka, where almost no molecules lose a proton
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autoprotolysis
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the proton transfer from one water molecule to another
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why is autoprolysis easier to calculate
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it establishes a constant equilibrium, even in neutral water, between hydronium and hydroxy ions, so KaKb=Kw and Kw=[H3O][OH]
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Discuss proton affinity and proton gain enthalpy
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proton affinity (Ap) and proton gain enthalpy (delta ph H naught), relate to acidity enthalpy changes during a proton transfer.PGE is reported as positive and PA is the negative of it. High AP indicated strong basicity, if only slightly negative, it is only weakly basic or possibly acidic
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Proton gain 3 steps
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electron loss, electron gain, combination of H and A, reverse of H-A bond dissociation, proton gain enthalpy is the sum of the enthalpy of all of these steps
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dominant factor in determining acid character
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electron affinity=inversely related to proton affinity, Ae increases left to right, proton affinity increases right to left, as proton affinity decreases, acidity increases, so Ae and stronger acid character have a positive and direct correlation. higher Ae=more stable conjugate base
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discuss solvent levelling
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solvent levelling in water is the fact that any strong acid or strong base in aqueous solution is only as strong of an acid as h3O+, or as strong as a base of OH-. relative strengths of strong acids can be measured by using an anhydrous weak acid as the solvent, same idea can be applied to bases
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equations for Ka and Kb when considering solvent leveling of water
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Ka=([H2Sol][A])/[HA], Kb=([HB][Sol])/[B]
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How is the bronsted definition of aids and bases extended by the solvent system definition
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bronsted definition is only concerned with proton transfer, solvent system defines an acid as any solute that increases the concentration of the cation generated by auto ionization of the solvent. Defines a base as anything that increases the concentration of the anion generated by the auto ionization of the solvent
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aqua acids
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the acidic proton on a water molecule coordinated to the central metal ion
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discuss aqua acids
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acid strength increases as the covalent character of the M-O(H2) bond increases. Across the periodic table, covalence increases left to right, top to bottom. General, the heavier the metal, the stronger the acid will be
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define and discuss hydroxoacids
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the acidic proton is from a hydroxyl group coordinated to a central metal ion, but without a neighboring oxo group
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define and discuss oxo-acids
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the acidic proton is from a hydroxyl group coordinated to a central metal ion, with an oxo-group adjacent to it. stability of conjugate base if primary factor in determining acid strength, conjugate base's stability is determined by resonance, polarizability and charge density
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oxo acid generalizations
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non metals form acidic oxides because electronegativity, metals form basic oxides, going down a group, atoms are bigger, polarizes water better and higher hydration enthalpy and entropy, amphoteric compounds form weak acids and weak bases, bases donate electron density, HSAB makes conjugate less stable by making it more soluble
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types of non aqueous solvents
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liquid ammonia, hydrogen fluoride, anhydrous sulfuric acid, dinitrogen tetroxide
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lewis acidity in alkali metals
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act as lewis acid in water, forming hydrated ions
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lewis acidity in group 13
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boron tri-halides act as lewis acids, acid strength increases with atomic mass of the halogen, aluminum halides form dimers in the gas phase, and are used as lewis acid catalysts
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lewis acidity in group 14
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except carbon, group 14 elements exhibit hypervaalence and act as lew acids, tin (II) chloride acts as both a lewis acid and a lewis base
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lewis acidity in group 15
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oxides and halides of the heavier elements act as lewis acids
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group 16
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sulfur dioxide can act as a lewis base when it forms a complex with trialkylamine that acts as a lewis base, sulfur trioxide is a strong lewis acid
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halogens
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bromine and iodine act as mild lewis acids
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difference between hard-hard and soft-soft interactions
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H-H and S-S are more thermodynamically stable than H-S, S-S is more covalent in character, H-H is more ionic in character, S-S are more exothermic
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factors influencing the gibbs energy of complex formation
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competition with solvent, rearrangement of substituents, steric repulsion
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reduction
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gain of electrons
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oxidation
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loss of electrons
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reducing agent
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the species which supplies the electrons (it is oxidized)
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oxidizing agent
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the species which receives the electrons (it is reduced)
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redox couple
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reducing agent + oxidizing agent
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significance of oxidation numbers
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used to describe the ionic state of an atom
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why do we write half reactions to express reduction potentials?
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it follows the movement of electrons, breaking a reaction into half reactions to separate reduction and oxidation gives us a clear view of electron transfer , and simplifies balancing a reaction
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Why is the electrochemical series so hard to predict
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it involves a number of thermochemical cycles, including heat of sublimation, ionization energy, standard enthalpy of hydrations, none dissociation energy, and the overall reaction enthalpy
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effect of multiplying a half reaction
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does not change potential but does change the free energy
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what values of K and E indicate a spontaneous reaction
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if E>0 and K>1 the thermodynamics are favorable (spontaneous)
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anode
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site of oxidation
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cathode
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site of reduction
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galvanic cell
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an electrochemical cell in which a reaction drives an electric current which travels though an external circuit for measurements
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equation for gibbs free energy involving the standard cell potential
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Delta G naught=-nFEnaught, F=9.648*10^4 (faraday) and n is the number of electrons
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strong oxidizing agent
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E naught is large and positive
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strong reducing agent
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E naught is large and negative
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Nernst equation
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gives cell potential at any composition, gives delta r G value,
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under what conditions might a reaction be thermodynamically favorable but kinetically slow
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if E naught > 0, it is spontaneous, but if it requires the movement of multiple electrons simultaneously it will be slow
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discuss the pH dependence of redox reactions
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as pH increases, E decreases. As pH decreases, E increases, this is due to the fact that any redox reactions require H+ ions, and a greater abundance of them increase the amount of current that can be transferred
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passivating layer
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kind of 'skin' of a metal oxide that forms over a metal's surface, which protects the metal from reacting further, forms when the metal begins to react with water or acid and sticks to it, encapsulating it. not necessarily used but utilized so that the metal will not corrode in open air
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what conditions will make water an oxidizing agent
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this will happen spontaneously if the metal is from the s-block, group 3 to group 9, or a lanthanoid. If the standard reduction potential for a metal is negative, it will be oxidize by 1M acid. H2 forms as the reaction progresses
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what conditions will make water a reducing agent
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if the standard reduction potential for a redox couple is 1.23 V or higher, they can oxidize water. Because H+ is produced in the reaction, a higher pH encourages formation of the products, these types of actions are spontaneous but kinetically very slow because the number of electrons that need to be moved
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stability field of water
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the range of values of potential for which water is thermodynamically stable toward both oxidation and reduction, stable between pH 4 and pH 9, between redox potentials of H+/H2, O2/H2O
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Under what conditions will water be unstable
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it will be unstable outside of the boundaries previously stated
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disproportionation
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the oxidation number of an element that is simultaneously raised and lowered, such that a species at a certain oxidation state is converted to a species that is more oxidize, and a species that is reduced. In a latimer diagram, if the potential on the right is higher than the potential on the left, it will tend to disproportionate
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comproportionation
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the reverse of disproportionation, two species of the same element n different oxidation states will form a common product of the same oxidation state. In a latimer diagram, if the potential on the left is higher than that on the right, it will tend to comproportionate
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How would i use the standard cell potential to determine the solubility product
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if an aqueous metal ion and its precipitate are in equilibrium, the solubility product (Kip) can be determined by the reduction potentials for the half reaction that returns the metal to its neutral state, both as an individual ion and as the precipitate
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latimer diagram
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a type of flow chart that are used to follow the oxidation and reduction of a particular element or compound, can be used to quickly determine the number of electrons transferred in a redox reaction, and it gives the standard potentials associated with them
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symmetry operator E
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identity operator, always there
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symmetry operator Cn
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rotation by 360/2, if n=2, only one operation involved. if n=3, two operations associated with it, principal axis
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principal axis
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the highest order rotational axis and it defines the z-axis of the molecule
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symmetry operator sigma mirror plane
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a mirror plane is a vertical mirror plane, sigmav, is it contains the z-axis, as defined by rotational symmetry. The horizontal mirror plane, sigmah, is the plane of the molecule perpendicular to sigmav, there can also be a dihedral mirror plane, sigmad, which bisects two c2 axes
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symmetry operator I
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center of inversion, inversion operator has each atom of the molecule projected through a single point, and out the same distance on the other side, succeeding to interchange diametrically opposite in pairs, only Oh, Dinfinityh, D4h, D2h, and Ci point groups have an inversion operator
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symmetry operator Sn
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improper rotation/ screw axis. This consists of a rotation through a certain angle followed by a reflection in a mirror plane perpendicular to the rotation
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high symmetry groups
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Dinfinityv, Cinfinityv, Ih, Oh, Td
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low symmetry groups
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Cs, Ci, C1
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irreducible representation
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the row of characters for the given symmetry species
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symmetry in a polar molecule
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3 rules to account for permanent dipole, cannot be polar if it has a center of inversion (Oh, DInfinityh, D4h, D2h, Ci), cannot have an electric dipole moment perpendicular to any mirror plane, molecule cannot have an electric dipole moment perpendicular to any axis of rotation
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symmetry in a chiral molecule
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a molecule cannot be chiral if it has an improper rotation axis or a mirror plane
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relationship between degrees of freedom and character tables
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for molecule of N atoms, there are 3N degrees of freedom, 3 are translational, 3 are rotational, 3N-6 vibrational modes (if non linear) if linear, there is no rotation about the axis of the molecule so there are 3N-5 vibrational modes in a linear molecule
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IR active
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the symmetry species of the vibration must be the same as that of x, y, or z in the character table
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Raman active
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the symmetry species of the vibration must be the same as that of xy or x^2
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SALC
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symmetry adapted linear combination of atomic orbitals, atomic orbitals which can be combined to a single symmetry type in order to construct a MO diagram
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how does an irreducible representation help us identify Raman active and IR active
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if a molecule has a center of inversion, none of its nodes can be both IR and Raman active, an active vibrational mode is IR active if it has the same symmetry as a component of the electric dipole moment (x,y,z rotations). A vibrational mode is Raman active if it has the same symmetry as a component of the molecular polarizability (quadratic functions)
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nomenclature of coordination compounds
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to write a formula, cation then anion followed by ligands in alphabetical order. to name the compounds, first the ligands are listed alphabetically (with prefix) then followed by the metal and its charge. if there is bridging it has µ
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mono
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one point of attachment
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bi
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two points of attachment
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tri
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three points of attachment
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how do you identify mono-bi-ti dentate ligands
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the atoms which bind to the central metal typically have lone pairs, or carry a negative charge. It is important to note that carbon is rarely the site of attachment
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ambidentate ligand
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one which has multiple donor atoms, but only binds through one, typically has a negative charge, resonance stabilized
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chelate
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a complex which forms when a polyentate ligand binds to a metal with more than one of it's donor atoms. They tend to bind at adjacent sites in a cis configuration
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in terms of coordination chemistry, what is an acid and what is a base
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metal ion is lewis acid (EP acceptor) and the ligand is a lewis base (EP donor)
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Factors that govern the coordination number of a complex
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size of central atom or ion, steric interactions between ligands, electronic interactions between central atom/ion and ligands
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Effect of large atomic radii on coordination number of complex
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larger radii=higher coordination numbers
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what group on the periodic table known to form 2 coordinate complexes
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group 11
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favored symmetry and point group for four coordinate complexes
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tetrahedral, a small cation and large ligands. If the ligands are the same the point group is Td. If central ion has a d8 configurations, it will adopt a square planar configuration if all the ligands are the same
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favored symmetry and point group for five coordinate complexes
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uncommon, but if it does happen it will be square pyramidal (c4v) or trigonal bipyramidal (d3h). Steric distortions are common and deviations from ideal geometry happen frequently
question
favored symmetry and point group for six coordinate complexes
answer
almost always octahderal, Oh
question
for what atoms/ions will we observe high coordination numbers
answer
f block
question
four types of isomers
answer
linkage isomers, ionization isomers, hydrate isomers, coordination isomers
question
linkage isomers
answer
these form only with ambidentate ligands, and are the result of the different donor atom binding
question
ionization isomers
answer
these occur when a ligand and a counter-ion (dissolved in solution) change places
question
hydrate isomers
answer
occur when water trades places with a ligand
question
coordination isomers
answer
occur when two different complex ions can have the same molecular formula through different bonding orders
question
meridional and facial isomers
answer
only occur for 6 coordinate complexes with octahedral geometry with the formula MA3B3
question
meridional isomers
answer
have one set of ligands around the metal ion's meridian, the other set along the mermaid perpendicular to the other
question
facial isomers
answer
best visualized by putting all 3 of one ligand into a triangle and the other 3 into a diametrically opposite triangle
question
what isomers are observed for four coordinate complexes
answer
for square planar, on cis ad trans isomers occur. For tetrahedral, enantiomers are the only isomers
question
What isomers are observed for six coordinate complexes
answer
cis/trans, facial/meridional,
question
what is a formation constant and how is it determined
answer
an equilibrium constant denoted by Kf and is a measure of the strength of ligand binding relative to water. Large Kf=inds to incoming ligand well. Kf=[MLlittlen]/[M][L]
question
what is the trend of stepwise formation constants
answer
they tend to decrease with the addition of eah successive ligand
question
what causes a stepwise formation constant to deviate
answer
if Kf(n+1) is greater than Kfn it is indicative of a change in coordination, show that the complex is more stable at a lower coordination number than for the previous set of ligands
question
chelate effect
answer
a complex with chelating ligands is more stable than one with non chelating ligands, as observed by formation constants
question
What does the tanabe sugano diagram depict
answer
the energies of electronic states of complexes as a function of the ligand field strength. It shows terms splitting into different microstates
question
how are the term energies expressed on the axes
answer
E/B on y plotted against delta/B on x. B is rajah parameter
question
what does a curved line mean on a tanabe sugano diagram
answer
it is the result of mixing orbitals due to the same symmetry
question
what is the no crossing rule in a tanabe sugano diagram
answer
if the increasing ligand field causes two weak field terms to approach, they bend apart rather than cross
question
what is the name of the term of lowest energy, where is it on the graph?
answer
ground term, x axis
question
what spectrum does a tanabe sugano graph represent
answer
the electronic absorbance spectrum
question
what transition are forbidden on tanabe sugano
answer
transitions which change the spin state
question
what are the racah parameters
answer
the energy due to repulsions, and is expressed as a collection of 3 terms, A, B, and C. A is the average of total inter-electron repulsion, B and C are repulsion energies between individual d electrons
question
what is microstate
answer
micro states are the different ways in which electrons can occupy orbitals
question
what is a term
answer
spectroscopically distinguishable energy levels of micro states with the same energy when electron-electron repulsions are considered
question
how do electron-electron repulsions affect a spectrum
answer
they result in multiple absorptions, if they are treated as negligible then the micro states have the same energy
question
what energies are spin forbidden
answer
the lowest energies
question
what are the two most important properties of 3-d series and light elements (in order)
answer
relative orientation of electron spin, relative orientation of orbital angular momenta
question
big S
answer
S is the total spin quantum number, which comes from the relative orientations of individual spins
question
big L
answer
L is the total orbital angular momentum quantum number which comes from the relative orientation of individual orbital angular momenta of each electron
question
how do we assign values to L
answer
L can take on values of l1+l2, l1+l2-1...[l1-l2]
question
what is spin orbital coupling
answer
the relative orientation of spin and angular momenta of each electron
question
how do we assign values to S
answer
S can take on values of s1+s2, s1+s2-1...[s1-s2]
question
what are the ranges of ML and MS
answer
Ml can range from positive L to negative L so it encompasses 2L+1. MS can range from positive S to negative S so it encompasses 2S+1
question
russle saunders coupling
answer
used for 3d metals, the process of combining angular momenta by first summing spins, then orbital momenta, and combining them
question
What is the word for total spin? What is the abbreviation and how is it determined?
answer
total spin is called multiplicity, abbreviated with P,it is a 2S+1
question
describe the two steps using hund's rule to assign energies
answer
1. identify the micro state with the highest value of MS. This tells us the highest multiplicity. 2. Identify the highest permitted value of ML for the multiplicity. This tells us the highest L value for multiplicity. we are only concerned with the lowest energy, which is what this rule tells us how to find
question
how do you identify the ground term in a set of terms
answer
by using hund's rules
question
corresponding letter and orbital L=0
answer
S, A1g
question
corresponding letter and orbital L=1
answer
P, T1g
question
corresponding letter and orbital L=2
answer
D, T2g, Eg
question
corresponding letter and orbital L=3
answer
F, T2g, A2g, T1g
question
corresponding letter and orbital L=4
answer
G, A1g, Eg, T1g, T2g
question
What metal is L considered a very important factor?
answer
3d metals
question
for wat metals is L not a very important factor
answer
4d and 5d because spin, orbit coupling is the most important factor in determining energy
question
two types of charge transfers
answer
ligand to metal charge transfer, metal to ligand charge transfer
question
charge transfer
answer
occur when an electron that is primarily ligand or metal in character oigrates to an orbital that is primarily metal or ligand in character (opposite)
question
solvatochromism
answer
variation in the transition frequency with change in the solvent permittivity. this is a better indicator of a metal/ligand interaction than a ligand-ligand or metal-metal interaction
question
When do LMCT reactions occur in the visible region
answer
two causes, may be a result of the ligand having high energy lone pairs or because the metal has a low lying empty orbital
question
In a metal complex, what reduces what
answer
the ligand reduces the metal ion
question
are LCMT and MLCT localized or delocalized
answer
localized
question
what characteristics of the metal atom will give a strong CT band
answer
a metal ion with a high oxidation state
question
what characteristics of the complex makes a MLCT likely to occur
answer
if a complex has ligands with low lying pi star orbitals, especially with aromatics, a MLCT is likely to occur
question
describe the relative proximity of ligand and metal orbitals in a MLCT
answer
the metal d orbitals are low in energy, lying very close to the empty ligand orbitals
question
what are the most common ligands to result in MLCT
answer
diimines
question
Emax
answer
a measure of the absorption strength for ligand field transitions
question
what is the approximate Emax for octahedral complexes
answer
100
question
approximate Emax for tetrahedral
answer
250
question
approximate Emax for square planar
answer
100
question
transition dipole moment
answer
the impulse of a transition on an electromagnetic field, which is a measure of the strength of transitions
question
transition dipole moment for an allowed transition
answer
nonzero
question
transition dipole moment for a spin forbidden transition
answer
zero
question
describe spin allowed transitions in terms of a singlet to triplet transition and the value of ds
answer
singlet (s=0) cannot undergo reaction to triplet (s=1), it is a forbidden transition
question
what can relax the rules regarding spin transition
answer
spin orbital coupling can relax the spin transition rules, but these transitions are weak, although they do not increase with atomic mass
question
what are the laporte selection rules
answer
in a centrosymmetric molecule or ion, the only allowed transitions are those accompanied by a change in parity. Transitions from g to u in terms are allowed but those from g to g and u to u are forbidden. For s and d orbitals, forbidden transitions are s-s, p-p, d-d, f-f, s-d, p-f, while the allowed transitions are s-p, p-d, d-f
question
what can relax the laporte rules
answer
the selection rules are relaxed if the complex departs (slightly) from the perfect centrosymmetry in its ground state, or if asymmetric vibrations destroy the center of inversion
question
based on energies of the transition, classify them as spin and laporte allowed or forbidden
answer
E<1, SF (spin forbidden), LF (laporte forbidden) E<10 SA (spin allowed), LF E<100 SA, LF E<5000 SA, LA
question
ligand field splitting parameter
answer
the energy difference between sets of orbitals of different energy i the same sub shell
question
barycenter
answer
the energy level corresponding to a spherical distribution of electric charge
question
what will cause delta naught to increase
answer
it will increase with an increasing oxidation state, and down a group. Corresponds to smaller size having more highly charged ions which results in shorter metal-ligand bond distances
question
ligand field stabilization energy
answer
it is stabilizing energy imparted to a d orbital spltting into e.g. and t2g orbitals relative to the barycenter
question
pairing energy
answer
the coulomb repulsion that results from electrons pairing. Pairing energy is taken into account only when the pairing of electrons is in addition to that of a spherical field
question
define weak field a strong field cases
answer
weak field is when delta naught is less than P, strong field is when it is more than P. In the weak field case, the electron will be promoted to e.g. orbital and in the strong field case it will stay in t2g
question
high spin
answer
when there are now more electrons unpaired than in a free ion
question
low spin
answer
when there are more electrons paired than otherwise
question
for 3d ion complexes, considering the ligands, how do high spin and low spin correlate to the spectrochemical series
answer
low spin complexes generally have ligands that are high in the spectrochemical series, while high spin complexes generally have ligands that are low in the spectrochemical series
question
diamagnetic
answer
repelled by a magnetic field
question
paramagnetic
answer
attracted to a magnetic field
question
describe the orbital configuration for tetrahedral
answer
t2 orbitals are higher in energy than e orbitals, they are separated by delta t, with the t2 orbitals lying at 2/5 delta above the barycenter, and e orbitals at 3/5 below it. always high spin
question
describe the orbital configuration for square planar
answer
highest in energy is x2-y2, followed by xy, then yz, then zx, and z2 is the lowest energy. square planar is always higher energy than tetrahedral, favored for d8, low spin is favored
question
what will cause a molecule to experience the jahn teller effect
answer
it is cause by unstable geometry, but more specifically, electros with degenerate spin states in e.g. orbitals
question
what symmetries can we expect to see the jahn teller effect
answer
Oh, C4v, D4h
question
what effect does jahn teller distortion have on a spectra
answer
absorbance peaks wil be asymmetric, both are ground state and the excited state are detected so the peak may have a shoulder or overlapped peaks
question
what are the symmetry labels and degeneracy for a metal s orbital
answer
degeneracy of 1 a1g
question
what are the symmetry labels and degeneracy labels for a metal px, py, pz orbitals
answer
t1u, degeneracy of 3
question
what are the symmetry labels and degeneracy labels for a metal dx2-y2, dz2, orbitals
answer
e1, degeneracy of 2
question
what are the symmetry labels and degeneracy labels for a metal dxy, dyz, dxz orbitals
answer
t2g, degeneracy of 3
question
frontier orbitals
answer
molecular eg and t2g orbitals are the frontier orbitals. when considering only sigma bonding, the t2g molecular orbitals are entirely metal in character and non bonding
question
ligand pi orbitals include salcs of what symmetry
answer
t2g, it is delocalized
question
pi donor ligands are also known as what
answer
pi bases, they have filled pi orbitals about the M-L axis and are lower in energy than sigma orbitals
question
pi acceptor ligands are also known as what
answer
pi acids, they have empty pi orbitals available for occupation about the M-L axis
question
what electrons are ejected in X-ray absorbance spectroscopy
answer
electrons are ejected from the core
question
what is the range of energy for photons
answer
0.1 keV to 100keV
question
what does the photon energy correspond to
answer
related to binding energy of core electrons
question
what is the edge region
answer
where the photo electron energy is in the range of Ei-Ei+10eV
question
what is the K edge (pre edge)
answer
where the core electrons are not ejected but promoted to higher energy empty orbitals. It provides information on energies of excited electronic states and local symmetry if the atom
question
what is the continuum
answer
when referring to a continuous absorption spectrum, a continuum is where absorbance is shown continuously throughout a given range (think from initial to infinity)
question
how do dipole transitions appear in the spectra
answer
dipole transitions are forbidden
question
describe the XANES
answer
X ray absorption near edge fine structure, the energy lies between Ei and Ei+10eV. It gives information on oxidation state, coordination environment, and the subtle geometric distortions. It can be used as a fingerprint, as it is characteristic of the environment and valence state, ad also can be used to determine the presence and quantity of a compound in a mixture
question
Describe NEXAFS
answer
near edge X-ray absorption fine structure. The energy lies between Ei and Ei + 50eV. It gives information on the orientation of adsorbed molecules
question
EXAFS
answer
extended x-ray absorption fine structure. The energy range is anything greater than the NEXFAS region. The back scattering of photons by adjacent atoms can be detected by observing periodic trends in intensity at energies just above the absorption edge. It provides information on electron density, the number of nearby atoms, as well as the separation of atoms. It will also tell us the bond lengths of species in the amorphous samples
question
what are the relative strengths of dipole and quadripole transitions
answer
dipole transitions are bout 100 times stronger than the quadripole
question
define photoelectron spectroscopy (PES)
answer
the measurement of kinetic energies of electrons emitted by the ionization of a sample that is irradiated with high energy monochromatic radiation. More simply put, a sample is irradiated with a single wavelength light source, and this causes emissions of photoelectrons
question
what is the formula for PES
answer
Ek=hv-Ei
question
what is koopman's theorem
answer
the ionization energy is equal to the negative of the orbital energy
question
two types of PES
answer
x-ray photoelectron spectroscopy and UV photoelectron spectroscopy
question
XPS (x ray photoelectron spectroscopy)
answer
used to study the and structure of solids. Photons which cause ionizations in samples are photo electrons emitted from an anode. They photo electrons causing the ionization are the result of an ejection of a 1s electron, followed by a 2p electron moving down to fill the vacancy. XPS gives broad signals, half widths are about 1eV.
question
UPS (UV photoelectron spectroscopy)
answer
used the characterize valence shell energy levels and vibrational fine structure. The radiation source is a helium discharge lamp. smaller line widths
question
what does the spectra look like for an ion ejected from a non bonding orbital
answer
single, sharp line. Product is formed in its vibrational ground state
question
what does the spectra look like for an electron ejected from a bonding or anti bonding orbital
answer
extended fine structure with many peaks. it is formed in many vibrational states
question
how can we tell is the electron was ejected from a bonding or anti bonding orbital
answer
if it were ejected from a bonding orbital, it will have a lower frequency than the original molecule. If it were ejected from an anti bonding orbital, it will have a higher frequency than the original molecule
question
what causes peaks to appear on the spectra
answer
appear if the ejected electron has significant influence on geometry
question
what is electron paramagnetic resonance spectroscopy
answer
application of a magnetic field produces different energies in the magnetic angular orientation of electrons (+/- 1/2). We observe the resonant absorption of unpaired electrons
question
what types of atoms is EPR used to study
answer
paramagnetic species
question
what effect does the magnetic field have on the electron
answer
depending on the spin state, it will either raise or lower the energy and the energy difference is observed
question
describe a continuous wave spectrometer
answer
the sample is irradiated with a constant microwave frequency ad a varying magnetic field
question
how do you improve resolution, what causes improved resolution? EPR
answer
improved by using high magnetic fields, which reduces the interactions between paramagnetic centers, which sharpens and simplifies the spectra using pulsed EPR also makes higher resolution by providing time resolutions to make it possible to measure dynamic properties.
question
what is the G value EPR and what is it for a free electron
answer
the g value, or the londe factor, is the measure of the molecule or atom being studied. IT is a product of L, S, and J, the total angular momentum. G for fee electron = 2.0023
question
what perturbs the g value in compounds
answer
spin orbit coupling alters the g value in complexes
question
define isotropic
answer
all 3 g values are the same (along with 3 perpendicular axes)
question
define axial
answer
2 g values are the same
question
define rhombic
answer
all g values are different
question
why is resolution improved in frozen samples vs liquid
answer
in a liquid sample, the molecules are moving so they are difficult to measure
question
describe hyperfine structure
answer
it is a multiplet structure due to coupling of electron spin to magnetic nuclei. A nucleus with spin I will split the EPR line into 2I+1 lines of the same intensity
question
what is cyclic voltammeter and what does it tell us
answer
it tell us the redox potential of a complex and from that we can determine its stability. IT also gives us information of thermodynamic and kinetic properties. The current between two electrodes is measured as the potential difference and it is changed cyclically to produce a triangular waveform
question
working electrode metals
answer
Pr, Ag, Au, or graphite
question
reference electrode metals
answer
Ag/AgCl
question
what two critical species are contained in the solution, how concentrated are they?
answer
a redox couple wit a very dilute solution (micro molar)
question
first step CV
answer
the current is turned on and as it approaches the reduction potential of the redox couple, the reduced species is oxidized at the working electrode and the current starts to flow
question
step 2 CV
answer
the current rises to a peak then decreases as the reduced species is depleted
question
step 3 CV
answer
once the upper limit is reached, the sweep reverses
question
how do we approximate the redox potential
answer
the average of the 2 peaks is the approximate redox potential
question
what is the separation between the oxidation and reduction potential
answer
ideally they are separated by 59mV/#e-
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question
Ionization energy
answer
energy required to remove the least tightly bound electron from a neutral atom in the gas phase
question
periodic trend of ionization energy
answer
highest at top right-smaller electron=harder to remove
question
Why is a half filled subshell so stable?
answer
it serves to maximize the stabilizing interactions while minimizing the destabilizing interactions among electrons
question
exchange interaction
answer
pie, stabilizing, result of electrons pairing in degenerate orbitals with parallel spin
question
pairing energy
answer
destabilizing, coulomb interaction, pic, energy of electron-electron repulsion in a filled orbital
question
Is it easier to ionize a high energy or low energy electrons
answer
high energy electron-already contains more energy so it requires less energy input
question
What happens when a 3d series metal is ionized?
answer
the first electron to be ionized will come from the 4s orbital, the other s electron will enter the d orbital (4s03dn+1)
question
lanthanide contraction
answer
reduction in atomic radius following the lanthanide series, contrary to the overall trend observed for the periodic table
question
lanthanides
answer
elements 57-71, first appearance of f orbitals, f orbitals are poor at shielding so any electrons dded will have a higher Zeff, shrinking the radius
question
Slater's rules
answer
tell us what the effective nuclear charge will be, Zeff=Z-sigma, Z is the atomic number, sigma=sum of the number of electrons in a given subtle multiplied by a weighting coefficient (page 1)
question
Shielding
answer
the reduction in charge attraction between the nucleus and electrons due to electrons between the nucleus and the electron in question, it is considered the be between if it has a lower energy
question
penetration
answer
when an electron of a higher atomic orbital is found within the shell of electrons of a lower atomic number, that is to say that an electron of higher energy is found within an orbital of lower energy
question
electron affinity
answer
the difference in energy for a neutral gaseous atom, and the gaseous anion. used interchangeably with electron gain enthalpy. more positive=more stable EA with the additional electron, more positive EGE=more stable with extra electron
question
Combination of electron affinity and ionization energy
answer
electronegativity, overall measure of an atoms ability to attract electrons to itself when part of a compound, fluorine has highest electronegativity
question
polarizability
answer
an atoms ability to be distorted by an electric field, regions of a molecule can take on partial positive or partial negative charge
question
Why do we use the hydrogen system approximation
answer
systems involving multiple electrons are much more complex, and they require the use of quantum mechanics
question
What is the formula for the energy of a hydrogen orbital
answer
E=-13.6(eV)*(Z^2/n^2), h is plancks constant (background on pg 4)
question
Energy can be expressed in...
answer
Joules, wavenumber, inverse centimeters
question
quantum number N
answer
principle quantum number, defines energy and size of orbital
question
quantum number L
answer
orbital angular momentum quantum number, defines the magnitude of the orbital angular momentum, as well as the angular shape of the orbital, L can have values of 0 to n-1.
question
quantum number Ml
answer
magnetic quantum number, describes the orientation of the angular momentum, ml can have values of 0 to +/-1
question
quantum number Ms
answer
spin magnetic quantum number, defines intrinsic angular momentum of an electron, Ms can have values of either +1/2 or -1/2
question
Radial wavefunction
answer
(R(r)), along with the angular wavefunction, gives us the orbitals. With a wave function it is possible to completely characterize a particle, goes to zero at infinity, produce characteristic shapes when graphed
question
Radial distribution function
answer
a plot of R^2(r)r^2, tells us probability of finding an electron at a certain distance from the nucleus, every orbital has a different radial distribution function and a node on the graph is a region of zero probability
question
Bohr radius
answer
the most probably distance to find the electron in a one proton, one electron system (52.9 pico-meters)
question
What orbitals correspond to l=0 through l=4
answer
L=0=s, L=1=p, L=2=d, L=3=f, L=4=g
question
Building up principle/Hund's rule
answer
when degenerate orbitals are available for occupation, electrons occupy separate orbitals with parallel spin
question
Pauli exclusion principle
answer
no more than two electrons can occupy a single orbital, and to do so, their spins must be paired
question
Descibe VSEPR
answer
purpose is to predict molecular geometries, basic assumption is that regions of enhanced electron density take positions as far apart as possible in order to minimize repulsive forces.
question
Relative repulsion strengths VSEPR
answer
lone pair> multiple bonds> single bonds
question
Valence bond theory
answer
explains chemical bonding by considering the overlap of tomic orbitals, wave patterns of atomic orbitals interfere constructively to form a bond, sigma is formed when orbital overlap has cylindrical symmetry, pi bond forms when they overlap side by side after the formation of a sigma bond
question
How is hybridization used in valence bond theory
answer
explains bonding where the number of equivalent bonds exceeds the number of valence orbitals
question
Effect of a lone pair on geometry?
answer
it pushes strongly against all other substituent. It is the strongest force governing the shape of a molecule
question
Molecular orbital theory
answer
an improvement over valence bond theory in that the bonding description extends to all atoms in a molecule and handles polyatomic molecules, atomic orbitals combine to form molecular orbitals which are delocalized descriptions of electron distribution
question
MO theory assumptions
answer
orbital approximation, linear combinations of atomic orbitals
question
Orbital approximation
answer
the wave function describing all of the electrons of a molecule can be written as a product of the one electron avefunctions
question
linear combination of atomic orbitals
answer
the superposition of multiple atomic orbitals of same type along with weighting coefficients
question
H2 and H2-like molecules
answer
the 1s orbitals are of equal energy so they lie at the same level of the diagram, atomic orbitals combine to form one sigma orbital which is lower in energy than one anti bonding sigma orbital which is higher in energy
question
Li2 through N2 (period 2)
answer
energy contributing to each atom is the same, 2s orbitals combine to form a bonding 1sigmag and an anti bonding sigmau, as well as a bonding 2sigmag, although that MO is mainly 2p in character. 2p combine as follows: lowest energy orbitals are two degenerates 1piu followed by 2sigmag. Following that is anti bonding orbital 1pig (doubly degenerate) ad 2sigmau
question
Period 2: O2, F2 etc, why not Ne2?
answer
difference is MO diagram's relative energies of the bonding orbitals piu and pig
question
H-X
answer
H is something that bonds through 2p and 2s orbitals, relative energies of the atomic orbitals are taken into account because there are two separate atoms, H1s is usually higher in energy, 4 atomic orbitals of X will mix with 1s of H to give 5 molecular orbital. Anti bonding is mostly H in character while the other 4 are mostly X
question
X-Y
answer
relative energies are taken into account, more electronegative=lower energy of orbitals
question
Relative energies of MOs
answer
4sigma>2pi>3sigma>1pi>2sigma>1sigma
question
Plyatomic MO
answer
must use approximations of MO theory. Linear combinations of Atomic orbitals create a cumulative approximation of the atomic orbitals of its constituent atoms, compare orbitals to determine what will mix
question
LCAO notation
answer
a,b=nondegenerate, e=doubly degenerate, t=triple degenerate
question
LCAO energies
answer
lowest=a (nondegenerate) intermediate=e highest=t
question
LCAO
answer
linear combinations of atomic orbitals
question
Bond order
answer
a method to assessing overall bond strength between two atoms in a molecule, higher bond order=stronger bond, assesses net number of bonds between two atoms
question
Calculating bond order
answer
(bonding-antibonding)/2
question
How to assign bonding character-bonding
answer
a bonding orbital will lie lower in energy than its substituent atomic orbitals
question
How to assign bonding character-nonbonding
answer
a nonbonding orbital will equal in energy to its corresponding atomic orbitals
question
How to assign bonding character-antibonding
answer
an antibonding orbital will lie higher in energy than its substituent atomic orbitals
question
HOMO interactions
answer
highest occupied molecular orbital, highest energy electrons reside
question
LUMO interactions
answer
lowest unoccupied molecular orbital, it is the energy level directly above the homo
question
Importance of HOMO/LUMO
answer
critical to electron structure, when excited an electron is promoted from HOMO to LUMO. bonding and anti bonding characteristics determine stability, the frontier orbitals are the point of interaction and basis of understanding for molecular interaction
question
paramagnetism
answer
if there are two unpaired electrons
question
metallic bonding
answer
the bonding and ordering of metals into pure solids or solid solutions, viewed as enormous molecules with continually overlapping atomic orbitals
question
ionic bonding
answer
ions of different elements held together in rigid, symmetrical arrays as a result of attraction between their opposite charges
question
lattice
answer
a 3D infinite array of lattice points which define the repeating structure of a crystal
question
unit cell
answer
an imaginary, parallel sided region from which the entire crystal can be built, such that it fits perfectly together, giving rise to a crystal system.
question
7 types of crystal systems
answer
cubic, tetragonal, orthorhombic, monoclinic, triclinic, rhombohedral, hexaganol
question
Primitive unit cell
answer
contains only one lattice point
question
body centered
answer
two lattice points per unit cell
question
face centered
answer
four lattice points per unit cell
question
body centered cubic
answer
3D version of body centered
question
close packed
answer
structure type with least unfilled space
question
coordination number
answer
the number of nearest neighbors, number of other spheres that a single sphere is touching in the unit cell
question
cubic close packed
answer
ABCABC repeating layer of spheres (ABAB results in hexagonally close packed)
question
face centered cubic
answer
same thing as cubic close packed
question
hole
answer
unoccupied space between spheres, can be octahedral, where they lie between triangles and form a hexagon, or tetrahedral where it is formed by a planar triangle of touching spheres
question
polymorphism
answer
the ability of a metal to adopt different crystal structures based on the temperature and pressure
question
alloy
answer
a blend of different metals, more formally called a solid solution
question
substitutional solution
answer
when a solute metal atoms take up the positions of solvent metal atoms in the crystal structure
question
interstitial solid solution
answer
when the solute metal atoms take up positions in the holes of the solvent crystal structure
question
lattice enthalpy
answer
the standard enthalpy change of accompanying the formation of a gas of ions from a solid, measure of strength of the solid
question
born haber cycle
answer
a type of flow chart used to determine the lattice enthalpies and other parameters governing how a solid behaves
question
van der waals interaction
answer
non electrostatic contributions to the lattice enthalpy, the london dispersion interaction is the most dominant VDW interaction, the transient fluctuations in electron density that result in temporary, induced dipoles
question
non-stoichiometric compound
answer
substance that exhibits variable composition but retains the same structure type
question
conductor
answer
a substance with an electric conductivity that decreases as temperature is increased
question
semi conductor
answer
a substance with an electric conductivity that increases as temperature is increased
question
insulator
answer
negligible conduction, but if it is possible to measure, it increases with temperature
question
super conductor
answer
have zero resistance below a critical temperature
question
band
answer
a near continuous array of energy levels, due to the large number of symmetrically oriented atomic orbitals in a solid with very similar energy levels
question
band gap
answer
a separation of bands, due to there being no energy value for the molecular orbital
question
s/p band
answer
the bands built from s and p orbitals
question
fermi level
answer
the highest occupied energy level in a solid at T=0
question
parameters for a substitutional solid solution?
answer
atomic radii of elements are within 15% of each other, crystal structures of two pure metals are the same (directional forces are compatible), electropositive characteristics of both compounds are similar, otherwise electron transfer would be likely
question
parameters for an interstitial solid solution
answer
usually form between metals and small groups, small atom must not transfer electrons or there would be an ionic species, must have a radius all enough to fit in the hole (.414 * radius of metal)
question
Most stabilizing influence on a solid?
answer
lattice enthalpy
question
high lattice enthalpy effect on solid
answer
if high charge and small distance, strongly stabilizing, at highest when tightly packed and ion charge is dense
question
low lattice enthalpy effect on solid
answer
is small charge and large distance the solid is not stable
question
born mayer equation
answer
allows us to estimate the lattice enthalpy from charge and separation at T=0
question
Why does solubility depend on lattice enthalpy
answer
solubility is a product of enthalpy and hydration enthalpy. lattice enthalpy is the energy required to break apart an ionic solid so the solubility is dependent on that value. If thee is a large difference between ionic sizes, the compound is likely to be soluble in water because the ways in which lattice enthalpy and hydration enthalpy depend on the radius (difference in size increases=lattice enthalpy decreases=hydration enthalpy increase)
question
solvent levelling
answer
the ordering of water molecules around a dissolved ion. the more charge dense an ion is, the more it order the water. This is entropically unfavorable, so it acts against processes that seek to break apart ions in solution
question
Discuss band theory
answer
connected to MO theory, continuum of overlapping orbitals, lowest energy orbitals have no nodes between neighboring atoms, highest energy orbitals have nodes between every pair of neighbors, the energy separation between neighboring orbitals approaches zero, creating a near continuous energy spectrum
question
band theory s band
answer
forms between s orbitals
question
band theory p band
answer
forms between p orbitals
question
conductors and band theory
answer
partially filled bands at low energy levels so the electrons are promoted easily, vigorous vibrations, such as those due to thermal energy, disrupt the band structure and decrease conductivity
question
insulators and band theory
answer
filled bands with a large energy differential separating them, filled band is called the valence band and the next higher band is called the conduction band
question
types of semiconductors
answer
intrinsic semiconductor, extrinsic semiconductor, n-type, p-type
question
intrinsic semiconductor
answer
filled s band and empty p band, energy gap is very small so the electrons can be promoted by thermal energy, promotion of electrons results in positive holes in the valence band amounting to a charge separation, which allows current to flow,
question
extrinsic semiconductor
answer
a material gains the ability to be a semiconductor because of intentionally added impurities, which increase the number of electron carriers
question
N-type
answer
n means negative, dopant supplies additional electrons to the solid structure, these electrons like below the valence band in energy and close to the conduction band so the gap is much easier to jump
question
P-type
answer
p means positive, the dopant material has less valence electrons than the parent material. the holes it creates lie just above the valence band in energy, so electrons can jump to the acceptor band to allow current to flow
question
what conditions are needed for electrons to flow through a solid
answer
a small energy difference and unfilled orbitals
question
lewis acid
answer
electron pair acceptor
question
lewis base
answer
electron pair donor
question
bronsted lowry acid
answer
proton donor
question
bronsted lowry base
answer
proton acceptor
question
hard acids bond in order of
answer
I<Br<Cl<F
question
soft acids bond in order of
answer
F<Cl<Br<I
question
soft acids/soft bases
answer
larger, more polarizable
question
hard acids/hard bases
answer
smaller and more charge dense
question
HSAB bonding patterns
answer
hard acids/bases to hard acids/bases, soft to soft
question
How does covalence apply to HSAB
answer
cation covalence increases as size of anion increases, anion covalence increases and size of cation decreases, covalence increases as charge increases, covalence in larger for non-noble configurations
question
what contributes to the gibbs energy of complex formation? (other than type of bond formed)
answer
competition with solvent, rearrangement of subsituents of the acid and base that may be necessary for formation of the complex, steric repulsion between substituents on the acid and base
question
criteria for categorization of HSAB
answer
no definite criteria, based on experimentally determined evidence usually relating to complex formation
question
amphiprotic substance
answer
a molecule that can act as both a bronsted acid and base
question
relationship between a strong acid and its conjugate base
answer
strong acid will have a weak conjugate base, strong base will have a weak conjugate acid, strong acid will remain deprotonated, strong base remains protonatedKa
question
Ka for a bronsted acid
answer
Ka=([A-][H3O+])/[HA]
question
range and meaning of Ka
answer
high Ka=one introduced to the solution, HA immediately and completely converts to A- and H3O+ (except for one in every Ka value (10^11 in case of HI)). Strong acids have high Ka and weak acids have small Ka, where almost no molecules lose a proton
question
autoprotolysis
answer
the proton transfer from one water molecule to another
question
why is autoprolysis easier to calculate
answer
it establishes a constant equilibrium, even in neutral water, between hydronium and hydroxy ions, so KaKb=Kw and Kw=[H3O][OH]
question
Discuss proton affinity and proton gain enthalpy
answer
proton affinity (Ap) and proton gain enthalpy (delta ph H naught), relate to acidity enthalpy changes during a proton transfer.PGE is reported as positive and PA is the negative of it. High AP indicated strong basicity, if only slightly negative, it is only weakly basic or possibly acidic
question
Proton gain 3 steps
answer
electron loss, electron gain, combination of H and A, reverse of H-A bond dissociation, proton gain enthalpy is the sum of the enthalpy of all of these steps
question
dominant factor in determining acid character
answer
electron affinity=inversely related to proton affinity, Ae increases left to right, proton affinity increases right to left, as proton affinity decreases, acidity increases, so Ae and stronger acid character have a positive and direct correlation. higher Ae=more stable conjugate base
question
discuss solvent levelling
answer
solvent levelling in water is the fact that any strong acid or strong base in aqueous solution is only as strong of an acid as h3O+, or as strong as a base of OH-. relative strengths of strong acids can be measured by using an anhydrous weak acid as the solvent, same idea can be applied to bases
question
equations for Ka and Kb when considering solvent leveling of water
answer
Ka=([H2Sol][A])/[HA], Kb=([HB][Sol])/[B]
question
How is the bronsted definition of aids and bases extended by the solvent system definition
answer
bronsted definition is only concerned with proton transfer, solvent system defines an acid as any solute that increases the concentration of the cation generated by auto ionization of the solvent. Defines a base as anything that increases the concentration of the anion generated by the auto ionization of the solvent
question
aqua acids
answer
the acidic proton on a water molecule coordinated to the central metal ion
question
discuss aqua acids
answer
acid strength increases as the covalent character of the M-O(H2) bond increases. Across the periodic table, covalence increases left to right, top to bottom. General, the heavier the metal, the stronger the acid will be
question
define and discuss hydroxoacids
answer
the acidic proton is from a hydroxyl group coordinated to a central metal ion, but without a neighboring oxo group
question
define and discuss oxo-acids
answer
the acidic proton is from a hydroxyl group coordinated to a central metal ion, with an oxo-group adjacent to it. stability of conjugate base if primary factor in determining acid strength, conjugate base's stability is determined by resonance, polarizability and charge density
question
oxo acid generalizations
answer
non metals form acidic oxides because electronegativity, metals form basic oxides, going down a group, atoms are bigger, polarizes water better and higher hydration enthalpy and entropy, amphoteric compounds form weak acids and weak bases, bases donate electron density, HSAB makes conjugate less stable by making it more soluble
question
types of non aqueous solvents
answer
liquid ammonia, hydrogen fluoride, anhydrous sulfuric acid, dinitrogen tetroxide
question
lewis acidity in alkali metals
answer
act as lewis acid in water, forming hydrated ions
question
lewis acidity in group 13
answer
boron tri-halides act as lewis acids, acid strength increases with atomic mass of the halogen, aluminum halides form dimers in the gas phase, and are used as lewis acid catalysts
question
lewis acidity in group 14
answer
except carbon, group 14 elements exhibit hypervaalence and act as lew acids, tin (II) chloride acts as both a lewis acid and a lewis base
question
lewis acidity in group 15
answer
oxides and halides of the heavier elements act as lewis acids
question
group 16
answer
sulfur dioxide can act as a lewis base when it forms a complex with trialkylamine that acts as a lewis base, sulfur trioxide is a strong lewis acid
question
halogens
answer
bromine and iodine act as mild lewis acids
question
difference between hard-hard and soft-soft interactions
answer
H-H and S-S are more thermodynamically stable than H-S, S-S is more covalent in character, H-H is more ionic in character, S-S are more exothermic
question
factors influencing the gibbs energy of complex formation
answer
competition with solvent, rearrangement of substituents, steric repulsion
question
reduction
answer
gain of electrons
question
oxidation
answer
loss of electrons
question
reducing agent
answer
the species which supplies the electrons (it is oxidized)
question
oxidizing agent
answer
the species which receives the electrons (it is reduced)
question
redox couple
answer
reducing agent + oxidizing agent
question
significance of oxidation numbers
answer
used to describe the ionic state of an atom
question
why do we write half reactions to express reduction potentials?
answer
it follows the movement of electrons, breaking a reaction into half reactions to separate reduction and oxidation gives us a clear view of electron transfer , and simplifies balancing a reaction
question
Why is the electrochemical series so hard to predict
answer
it involves a number of thermochemical cycles, including heat of sublimation, ionization energy, standard enthalpy of hydrations, none dissociation energy, and the overall reaction enthalpy
question
effect of multiplying a half reaction
answer
does not change potential but does change the free energy
question
what values of K and E indicate a spontaneous reaction
answer
if E>0 and K>1 the thermodynamics are favorable (spontaneous)
question
anode
answer
site of oxidation
question
cathode
answer
site of reduction
question
galvanic cell
answer
an electrochemical cell in which a reaction drives an electric current which travels though an external circuit for measurements
question
equation for gibbs free energy involving the standard cell potential
answer
Delta G naught=-nFEnaught, F=9.648*10^4 (faraday) and n is the number of electrons
question
strong oxidizing agent
answer
E naught is large and positive
question
strong reducing agent
answer
E naught is large and negative
question
Nernst equation
answer
gives cell potential at any composition, gives delta r G value,
question
under what conditions might a reaction be thermodynamically favorable but kinetically slow
answer
if E naught > 0, it is spontaneous, but if it requires the movement of multiple electrons simultaneously it will be slow
question
discuss the pH dependence of redox reactions
answer
as pH increases, E decreases. As pH decreases, E increases, this is due to the fact that any redox reactions require H+ ions, and a greater abundance of them increase the amount of current that can be transferred
question
passivating layer
answer
kind of 'skin' of a metal oxide that forms over a metal's surface, which protects the metal from reacting further, forms when the metal begins to react with water or acid and sticks to it, encapsulating it. not necessarily used but utilized so that the metal will not corrode in open air
question
what conditions will make water an oxidizing agent
answer
this will happen spontaneously if the metal is from the s-block, group 3 to group 9, or a lanthanoid. If the standard reduction potential for a metal is negative, it will be oxidize by 1M acid. H2 forms as the reaction progresses
question
what conditions will make water a reducing agent
answer
if the standard reduction potential for a redox couple is 1.23 V or higher, they can oxidize water. Because H+ is produced in the reaction, a higher pH encourages formation of the products, these types of actions are spontaneous but kinetically very slow because the number of electrons that need to be moved
question
stability field of water
answer
the range of values of potential for which water is thermodynamically stable toward both oxidation and reduction, stable between pH 4 and pH 9, between redox potentials of H+/H2, O2/H2O
question
Under what conditions will water be unstable
answer
it will be unstable outside of the boundaries previously stated
question
disproportionation
answer
the oxidation number of an element that is simultaneously raised and lowered, such that a species at a certain oxidation state is converted to a species that is more oxidize, and a species that is reduced. In a latimer diagram, if the potential on the right is higher than the potential on the left, it will tend to disproportionate
question
comproportionation
answer
the reverse of disproportionation, two species of the same element n different oxidation states will form a common product of the same oxidation state. In a latimer diagram, if the potential on the left is higher than that on the right, it will tend to comproportionate
question
How would i use the standard cell potential to determine the solubility product
answer
if an aqueous metal ion and its precipitate are in equilibrium, the solubility product (Kip) can be determined by the reduction potentials for the half reaction that returns the metal to its neutral state, both as an individual ion and as the precipitate
question
latimer diagram
answer
a type of flow chart that are used to follow the oxidation and reduction of a particular element or compound, can be used to quickly determine the number of electrons transferred in a redox reaction, and it gives the standard potentials associated with them
question
symmetry operator E
answer
identity operator, always there
question
symmetry operator Cn
answer
rotation by 360/2, if n=2, only one operation involved. if n=3, two operations associated with it, principal axis
question
principal axis
answer
the highest order rotational axis and it defines the z-axis of the molecule
question
symmetry operator sigma mirror plane
answer
a mirror plane is a vertical mirror plane, sigmav, is it contains the z-axis, as defined by rotational symmetry. The horizontal mirror plane, sigmah, is the plane of the molecule perpendicular to sigmav, there can also be a dihedral mirror plane, sigmad, which bisects two c2 axes
question
symmetry operator I
answer
center of inversion, inversion operator has each atom of the molecule projected through a single point, and out the same distance on the other side, succeeding to interchange diametrically opposite in pairs, only Oh, Dinfinityh, D4h, D2h, and Ci point groups have an inversion operator
question
symmetry operator Sn
answer
improper rotation/ screw axis. This consists of a rotation through a certain angle followed by a reflection in a mirror plane perpendicular to the rotation
question
high symmetry groups
answer
Dinfinityv, Cinfinityv, Ih, Oh, Td
question
low symmetry groups
answer
Cs, Ci, C1
question
irreducible representation
answer
the row of characters for the given symmetry species
question
symmetry in a polar molecule
answer
3 rules to account for permanent dipole, cannot be polar if it has a center of inversion (Oh, DInfinityh, D4h, D2h, Ci), cannot have an electric dipole moment perpendicular to any mirror plane, molecule cannot have an electric dipole moment perpendicular to any axis of rotation
question
symmetry in a chiral molecule
answer
a molecule cannot be chiral if it has an improper rotation axis or a mirror plane
question
relationship between degrees of freedom and character tables
answer
for molecule of N atoms, there are 3N degrees of freedom, 3 are translational, 3 are rotational, 3N-6 vibrational modes (if non linear) if linear, there is no rotation about the axis of the molecule so there are 3N-5 vibrational modes in a linear molecule
question
IR active
answer
the symmetry species of the vibration must be the same as that of x, y, or z in the character table
question
Raman active
answer
the symmetry species of the vibration must be the same as that of xy or x^2
question
SALC
answer
symmetry adapted linear combination of atomic orbitals, atomic orbitals which can be combined to a single symmetry type in order to construct a MO diagram
question
how does an irreducible representation help us identify Raman active and IR active
answer
if a molecule has a center of inversion, none of its nodes can be both IR and Raman active, an active vibrational mode is IR active if it has the same symmetry as a component of the electric dipole moment (x,y,z rotations). A vibrational mode is Raman active if it has the same symmetry as a component of the molecular polarizability (quadratic functions)
question
nomenclature of coordination compounds
answer
to write a formula, cation then anion followed by ligands in alphabetical order. to name the compounds, first the ligands are listed alphabetically (with prefix) then followed by the metal and its charge. if there is bridging it has µ
question
mono
answer
one point of attachment
question
bi
answer
two points of attachment
question
tri
answer
three points of attachment
question
how do you identify mono-bi-ti dentate ligands
answer
the atoms which bind to the central metal typically have lone pairs, or carry a negative charge. It is important to note that carbon is rarely the site of attachment
question
ambidentate ligand
answer
one which has multiple donor atoms, but only binds through one, typically has a negative charge, resonance stabilized
question
chelate
answer
a complex which forms when a polyentate ligand binds to a metal with more than one of it's donor atoms. They tend to bind at adjacent sites in a cis configuration
question
in terms of coordination chemistry, what is an acid and what is a base
answer
metal ion is lewis acid (EP acceptor) and the ligand is a lewis base (EP donor)
question
Factors that govern the coordination number of a complex
answer
size of central atom or ion, steric interactions between ligands, electronic interactions between central atom/ion and ligands
question
Effect of large atomic radii on coordination number of complex
answer
larger radii=higher coordination numbers
question
what group on the periodic table known to form 2 coordinate complexes
answer
group 11
question
favored symmetry and point group for four coordinate complexes
answer
tetrahedral, a small cation and large ligands. If the ligands are the same the point group is Td. If central ion has a d8 configurations, it will adopt a square planar configuration if all the ligands are the same
question
favored symmetry and point group for five coordinate complexes
answer
uncommon, but if it does happen it will be square pyramidal (c4v) or trigonal bipyramidal (d3h). Steric distortions are common and deviations from ideal geometry happen frequently
question
favored symmetry and point group for six coordinate complexes
answer
almost always octahderal, Oh
question
for what atoms/ions will we observe high coordination numbers
answer
f block
question
four types of isomers
answer
linkage isomers, ionization isomers, hydrate isomers, coordination isomers
question
linkage isomers
answer
these form only with ambidentate ligands, and are the result of the different donor atom binding
question
ionization isomers
answer
these occur when a ligand and a counter-ion (dissolved in solution) change places
question
hydrate isomers
answer
occur when water trades places with a ligand
question
coordination isomers
answer
occur when two different complex ions can have the same molecular formula through different bonding orders
question
meridional and facial isomers
answer
only occur for 6 coordinate complexes with octahedral geometry with the formula MA3B3
question
meridional isomers
answer
have one set of ligands around the metal ion's meridian, the other set along the mermaid perpendicular to the other
question
facial isomers
answer
best visualized by putting all 3 of one ligand into a triangle and the other 3 into a diametrically opposite triangle
question
what isomers are observed for four coordinate complexes
answer
for square planar, on cis ad trans isomers occur. For tetrahedral, enantiomers are the only isomers
question
What isomers are observed for six coordinate complexes
answer
cis/trans, facial/meridional,
question
what is a formation constant and how is it determined
answer
an equilibrium constant denoted by Kf and is a measure of the strength of ligand binding relative to water. Large Kf=inds to incoming ligand well. Kf=[MLlittlen]/[M][L]
question
what is the trend of stepwise formation constants
answer
they tend to decrease with the addition of eah successive ligand
question
what causes a stepwise formation constant to deviate
answer
if Kf(n+1) is greater than Kfn it is indicative of a change in coordination, show that the complex is more stable at a lower coordination number than for the previous set of ligands
question
chelate effect
answer
a complex with chelating ligands is more stable than one with non chelating ligands, as observed by formation constants
question
What does the tanabe sugano diagram depict
answer
the energies of electronic states of complexes as a function of the ligand field strength. It shows terms splitting into different microstates
question
how are the term energies expressed on the axes
answer
E/B on y plotted against delta/B on x. B is rajah parameter
question
what does a curved line mean on a tanabe sugano diagram
answer
it is the result of mixing orbitals due to the same symmetry
question
what is the no crossing rule in a tanabe sugano diagram
answer
if the increasing ligand field causes two weak field terms to approach, they bend apart rather than cross
question
what is the name of the term of lowest energy, where is it on the graph?
answer
ground term, x axis
question
what spectrum does a tanabe sugano graph represent
answer
the electronic absorbance spectrum
question
what transition are forbidden on tanabe sugano
answer
transitions which change the spin state
question
what are the racah parameters
answer
the energy due to repulsions, and is expressed as a collection of 3 terms, A, B, and C. A is the average of total inter-electron repulsion, B and C are repulsion energies between individual d electrons
question
what is microstate
answer
micro states are the different ways in which electrons can occupy orbitals
question
what is a term
answer
spectroscopically distinguishable energy levels of micro states with the same energy when electron-electron repulsions are considered
question
how do electron-electron repulsions affect a spectrum
answer
they result in multiple absorptions, if they are treated as negligible then the micro states have the same energy
question
what energies are spin forbidden
answer
the lowest energies
question
what are the two most important properties of 3-d series and light elements (in order)
answer
relative orientation of electron spin, relative orientation of orbital angular momenta
question
big S
answer
S is the total spin quantum number, which comes from the relative orientations of individual spins
question
big L
answer
L is the total orbital angular momentum quantum number which comes from the relative orientation of individual orbital angular momenta of each electron
question
how do we assign values to L
answer
L can take on values of l1+l2, l1+l2-1...[l1-l2]
question
what is spin orbital coupling
answer
the relative orientation of spin and angular momenta of each electron
question
how do we assign values to S
answer
S can take on values of s1+s2, s1+s2-1...[s1-s2]
question
what are the ranges of ML and MS
answer
Ml can range from positive L to negative L so it encompasses 2L+1. MS can range from positive S to negative S so it encompasses 2S+1
question
russle saunders coupling
answer
used for 3d metals, the process of combining angular momenta by first summing spins, then orbital momenta, and combining them
question
What is the word for total spin? What is the abbreviation and how is it determined?
answer
total spin is called multiplicity, abbreviated with P,it is a 2S+1
question
describe the two steps using hund's rule to assign energies
answer
1. identify the micro state with the highest value of MS. This tells us the highest multiplicity. 2. Identify the highest permitted value of ML for the multiplicity. This tells us the highest L value for multiplicity. we are only concerned with the lowest energy, which is what this rule tells us how to find
question
how do you identify the ground term in a set of terms
answer
by using hund's rules
question
corresponding letter and orbital L=0
answer
S, A1g
question
corresponding letter and orbital L=1
answer
P, T1g
question
corresponding letter and orbital L=2
answer
D, T2g, Eg
question
corresponding letter and orbital L=3
answer
F, T2g, A2g, T1g
question
corresponding letter and orbital L=4
answer
G, A1g, Eg, T1g, T2g
question
What metal is L considered a very important factor?
answer
3d metals
question
for wat metals is L not a very important factor
answer
4d and 5d because spin, orbit coupling is the most important factor in determining energy
question
two types of charge transfers
answer
ligand to metal charge transfer, metal to ligand charge transfer
question
charge transfer
answer
occur when an electron that is primarily ligand or metal in character oigrates to an orbital that is primarily metal or ligand in character (opposite)
question
solvatochromism
answer
variation in the transition frequency with change in the solvent permittivity. this is a better indicator of a metal/ligand interaction than a ligand-ligand or metal-metal interaction
question
When do LMCT reactions occur in the visible region
answer
two causes, may be a result of the ligand having high energy lone pairs or because the metal has a low lying empty orbital
question
In a metal complex, what reduces what
answer
the ligand reduces the metal ion
question
are LCMT and MLCT localized or delocalized
answer
localized
question
what characteristics of the metal atom will give a strong CT band
answer
a metal ion with a high oxidation state
question
what characteristics of the complex makes a MLCT likely to occur
answer
if a complex has ligands with low lying pi star orbitals, especially with aromatics, a MLCT is likely to occur
question
describe the relative proximity of ligand and metal orbitals in a MLCT
answer
the metal d orbitals are low in energy, lying very close to the empty ligand orbitals
question
what are the most common ligands to result in MLCT
answer
diimines
question
Emax
answer
a measure of the absorption strength for ligand field transitions
question
what is the approximate Emax for octahedral complexes
answer
100
question
approximate Emax for tetrahedral
answer
250
question
approximate Emax for square planar
answer
100
question
transition dipole moment
answer
the impulse of a transition on an electromagnetic field, which is a measure of the strength of transitions
question
transition dipole moment for an allowed transition
answer
nonzero
question
transition dipole moment for a spin forbidden transition
answer
zero
question
describe spin allowed transitions in terms of a singlet to triplet transition and the value of ds
answer
singlet (s=0) cannot undergo reaction to triplet (s=1), it is a forbidden transition
question
what can relax the rules regarding spin transition
answer
spin orbital coupling can relax the spin transition rules, but these transitions are weak, although they do not increase with atomic mass
question
what are the laporte selection rules
answer
in a centrosymmetric molecule or ion, the only allowed transitions are those accompanied by a change in parity. Transitions from g to u in terms are allowed but those from g to g and u to u are forbidden. For s and d orbitals, forbidden transitions are s-s, p-p, d-d, f-f, s-d, p-f, while the allowed transitions are s-p, p-d, d-f
question
what can relax the laporte rules
answer
the selection rules are relaxed if the complex departs (slightly) from the perfect centrosymmetry in its ground state, or if asymmetric vibrations destroy the center of inversion
question
based on energies of the transition, classify them as spin and laporte allowed or forbidden
answer
E<1, SF (spin forbidden), LF (laporte forbidden) E<10 SA (spin allowed), LF E<100 SA, LF E<5000 SA, LA
question
ligand field splitting parameter
answer
the energy difference between sets of orbitals of different energy i the same sub shell
question
barycenter
answer
the energy level corresponding to a spherical distribution of electric charge
question
what will cause delta naught to increase
answer
it will increase with an increasing oxidation state, and down a group. Corresponds to smaller size having more highly charged ions which results in shorter metal-ligand bond distances
question
ligand field stabilization energy
answer
it is stabilizing energy imparted to a d orbital spltting into e.g. and t2g orbitals relative to the barycenter
question
pairing energy
answer
the coulomb repulsion that results from electrons pairing. Pairing energy is taken into account only when the pairing of electrons is in addition to that of a spherical field
question
define weak field a strong field cases
answer
weak field is when delta naught is less than P, strong field is when it is more than P. In the weak field case, the electron will be promoted to e.g. orbital and in the strong field case it will stay in t2g
question
high spin
answer
when there are now more electrons unpaired than in a free ion
question
low spin
answer
when there are more electrons paired than otherwise
question
for 3d ion complexes, considering the ligands, how do high spin and low spin correlate to the spectrochemical series
answer
low spin complexes generally have ligands that are high in the spectrochemical series, while high spin complexes generally have ligands that are low in the spectrochemical series
question
diamagnetic
answer
repelled by a magnetic field
question
paramagnetic
answer
attracted to a magnetic field
question
describe the orbital configuration for tetrahedral
answer
t2 orbitals are higher in energy than e orbitals, they are separated by delta t, with the t2 orbitals lying at 2/5 delta above the barycenter, and e orbitals at 3/5 below it. always high spin
question
describe the orbital configuration for square planar
answer
highest in energy is x2-y2, followed by xy, then yz, then zx, and z2 is the lowest energy. square planar is always higher energy than tetrahedral, favored for d8, low spin is favored
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what will cause a molecule to experience the jahn teller effect
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it is cause by unstable geometry, but more specifically, electros with degenerate spin states in e.g. orbitals
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what symmetries can we expect to see the jahn teller effect
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Oh, C4v, D4h
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what effect does jahn teller distortion have on a spectra
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absorbance peaks wil be asymmetric, both are ground state and the excited state are detected so the peak may have a shoulder or overlapped peaks
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what are the symmetry labels and degeneracy for a metal s orbital
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degeneracy of 1 a1g
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what are the symmetry labels and degeneracy labels for a metal px, py, pz orbitals
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t1u, degeneracy of 3
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what are the symmetry labels and degeneracy labels for a metal dx2-y2, dz2, orbitals
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e1, degeneracy of 2
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what are the symmetry labels and degeneracy labels for a metal dxy, dyz, dxz orbitals
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t2g, degeneracy of 3
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frontier orbitals
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molecular eg and t2g orbitals are the frontier orbitals. when considering only sigma bonding, the t2g molecular orbitals are entirely metal in character and non bonding
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ligand pi orbitals include salcs of what symmetry
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t2g, it is delocalized
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pi donor ligands are also known as what
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pi bases, they have filled pi orbitals about the M-L axis and are lower in energy than sigma orbitals
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pi acceptor ligands are also known as what
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pi acids, they have empty pi orbitals available for occupation about the M-L axis
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what electrons are ejected in X-ray absorbance spectroscopy
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electrons are ejected from the core
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what is the range of energy for photons
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0.1 keV to 100keV
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what does the photon energy correspond to
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related to binding energy of core electrons
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what is the edge region
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where the photo electron energy is in the range of Ei-Ei+10eV
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what is the K edge (pre edge)
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where the core electrons are not ejected but promoted to higher energy empty orbitals. It provides information on energies of excited electronic states and local symmetry if the atom
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what is the continuum
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when referring to a continuous absorption spectrum, a continuum is where absorbance is shown continuously throughout a given range (think from initial to infinity)
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how do dipole transitions appear in the spectra
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dipole transitions are forbidden
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describe the XANES
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X ray absorption near edge fine structure, the energy lies between Ei and Ei+10eV. It gives information on oxidation state, coordination environment, and the subtle geometric distortions. It can be used as a fingerprint, as it is characteristic of the environment and valence state, ad also can be used to determine the presence and quantity of a compound in a mixture
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Describe NEXAFS
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near edge X-ray absorption fine structure. The energy lies between Ei and Ei + 50eV. It gives information on the orientation of adsorbed molecules
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EXAFS
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extended x-ray absorption fine structure. The energy range is anything greater than the NEXFAS region. The back scattering of photons by adjacent atoms can be detected by observing periodic trends in intensity at energies just above the absorption edge. It provides information on electron density, the number of nearby atoms, as well as the separation of atoms. It will also tell us the bond lengths of species in the amorphous samples
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what are the relative strengths of dipole and quadripole transitions
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dipole transitions are bout 100 times stronger than the quadripole
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define photoelectron spectroscopy (PES)
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the measurement of kinetic energies of electrons emitted by the ionization of a sample that is irradiated with high energy monochromatic radiation. More simply put, a sample is irradiated with a single wavelength light source, and this causes emissions of photoelectrons
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what is the formula for PES
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Ek=hv-Ei
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what is koopman's theorem
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the ionization energy is equal to the negative of the orbital energy
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two types of PES
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x-ray photoelectron spectroscopy and UV photoelectron spectroscopy
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XPS (x ray photoelectron spectroscopy)
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used to study the and structure of solids. Photons which cause ionizations in samples are photo electrons emitted from an anode. They photo electrons causing the ionization are the result of an ejection of a 1s electron, followed by a 2p electron moving down to fill the vacancy. XPS gives broad signals, half widths are about 1eV.
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UPS (UV photoelectron spectroscopy)
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used the characterize valence shell energy levels and vibrational fine structure. The radiation source is a helium discharge lamp. smaller line widths
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what does the spectra look like for an ion ejected from a non bonding orbital
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single, sharp line. Product is formed in its vibrational ground state
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what does the spectra look like for an electron ejected from a bonding or anti bonding orbital
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extended fine structure with many peaks. it is formed in many vibrational states
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how can we tell is the electron was ejected from a bonding or anti bonding orbital
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if it were ejected from a bonding orbital, it will have a lower frequency than the original molecule. If it were ejected from an anti bonding orbital, it will have a higher frequency than the original molecule
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what causes peaks to appear on the spectra
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appear if the ejected electron has significant influence on geometry
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what is electron paramagnetic resonance spectroscopy
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application of a magnetic field produces different energies in the magnetic angular orientation of electrons (+/- 1/2). We observe the resonant absorption of unpaired electrons
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what types of atoms is EPR used to study
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paramagnetic species
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what effect does the magnetic field have on the electron
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depending on the spin state, it will either raise or lower the energy and the energy difference is observed
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describe a continuous wave spectrometer
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the sample is irradiated with a constant microwave frequency ad a varying magnetic field
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how do you improve resolution, what causes improved resolution? EPR
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improved by using high magnetic fields, which reduces the interactions between paramagnetic centers, which sharpens and simplifies the spectra using pulsed EPR also makes higher resolution by providing time resolutions to make it possible to measure dynamic properties.
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what is the G value EPR and what is it for a free electron
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the g value, or the londe factor, is the measure of the molecule or atom being studied. IT is a product of L, S, and J, the total angular momentum. G for fee electron = 2.0023
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what perturbs the g value in compounds
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spin orbit coupling alters the g value in complexes
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define isotropic
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all 3 g values are the same (along with 3 perpendicular axes)
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define axial
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2 g values are the same
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define rhombic
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all g values are different
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why is resolution improved in frozen samples vs liquid
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in a liquid sample, the molecules are moving so they are difficult to measure
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describe hyperfine structure
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it is a multiplet structure due to coupling of electron spin to magnetic nuclei. A nucleus with spin I will split the EPR line into 2I+1 lines of the same intensity
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what is cyclic voltammeter and what does it tell us
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it tell us the redox potential of a complex and from that we can determine its stability. IT also gives us information of thermodynamic and kinetic properties. The current between two electrodes is measured as the potential difference and it is changed cyclically to produce a triangular waveform
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working electrode metals
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Pr, Ag, Au, or graphite
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reference electrode metals
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Ag/AgCl
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what two critical species are contained in the solution, how concentrated are they?
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a redox couple wit a very dilute solution (micro molar)
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first step CV
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the current is turned on and as it approaches the reduction potential of the redox couple, the reduced species is oxidized at the working electrode and the current starts to flow
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step 2 CV
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the current rises to a peak then decreases as the reduced species is depleted
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step 3 CV
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once the upper limit is reached, the sweep reverses
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how do we approximate the redox potential
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the average of the 2 peaks is the approximate redox potential
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what is the separation between the oxidation and reduction potential
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ideally they are separated by 59mV/#e-
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