MATSE 201: Exam 1 Review – Flashcards

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question
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A substance is 20 wt% Sn and 80 wt% Au.
What are the atomic percentages of each?
answer
-recall that atomic % = (atoms of X)/(total # atoms)
-assume basis of 100 g
-convert grams to moles to # atoms for each
-add to get total # atoms
-calculate atomic %
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Aufbau Principle of electron configuration
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1s
2s 2p
3s 3p 3d
4s 4p 4d 4f
etc.
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Hund's Rules of electron configuration
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1. Electron pairs with opposing spins are low energy
2. Electrons orbiting in the same direction are low energy
3. Make half-filled subshells when applicable
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E = h?
answer
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c = ??
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Most pure elements exist as ___
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metals
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isotopes
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atoms with same number of protons but different numbers of neutrons
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quantum number 1
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called: principle quantum number
symbol: n
defines: shell
related to: energy level; distance from nucleus
ex: 1, 2, 3
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quantum number 2
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called: angular momentum number
symbol: l
defines: subshell
related to: orbital shapes
ex: 0, 1, 2, 3 (s, p, d, f)
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quantum number 3
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called: magnetic number

symbol: ml

defines: orbitals for e pairs within subshells

ex: 0, +1, -1, +2, -2

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quantum number 4
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called: spin number
symbol: ms
defines: spin
ex: + or -
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In transition metal ions, the relative energy levels of subshells can shift such that electrons from the ___ subshell are usually given up first.
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s
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describe bond types

graphite
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strong covalent within a sheet
weak secondary bonds between sheets
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describe bond types

Al + Si + Mg alloy
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it's a metal alloy, so the bonding is metallic
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describe bond types

polyethelene
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it's a hydrocarbon polymer, so it has strong covelent bonding
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describe bond types

ice (frozen water)
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covalent intra-atomic bonds
secondary (hydrogen) inter-atomic bonds
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Covalent bonds are highly ___ and are characterized by sharing of electrons and relatively ___ coordination numbers.
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directional
low
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crystal system
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describes shape of unit cell
can completely fill space with translational symmetry
there are 7 (cubic, tetragonal, hexagonal, etc.)
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lattice parameters
(aka lattice constants)
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lengths of sides a, b, c of a unit cell for a crystal system
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lattice points
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arrangement of atoms in 3D
points in space that are equivalent thru translational symmetry
each may consist of more than one atom (the basis)
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Primitive cell vs.
non-primitive cell
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primitive cell has only one lattice point per unit cell
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Bravais Lattices
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possible arrangements of lattice points in the 7 crystal systems
there are 14 (simple cubic, fcc, bcc, etc.)
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crystal structure
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Bravais lattice + basis
(unit cell) (atom complex)
ex, simple cubic + atom pair = crystal structure
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lattice position
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just a location in the unit cell
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lattice direction
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[ ]
[(a displacement) (b disp.) (c disp.)]
use lowest whole numbers
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family of lattice directions
(aka general direction)
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set of directions that are equivalent through symmetry
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lattice planes
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( )

((a intercept)-1 (b intcpt.)-1 (c intcpt.)-1)

 

note: of the plane inter cepts the origin,

translate it before you give the indeces

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family of lattice planes
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{ }
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linear/planar density
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number of atoms per unit length/area
in a given crystal direction/plane
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a vs. r
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sc: a = 2r
fcc: a = 4r/rt(2)
bcc: a = 4r/rt(3)
hcp: a = 2r
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calculate density
from unit cell
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density = [(# atoms)/(volume)]*[(atomic wt)/(NA)]
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APF
atomic packing factor
answer

APF = (V of atoms in cell)/(V of cell)

 

APF = [(# atoms/cell)(4?r3/3)]/(a2)

 

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diffraction rules

simple cubic
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any h k l
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diffraction rules

fcc
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h k l all odd or all even
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Bragg's Law
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? = 2dhklsin?
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lattice plane distance
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dhkl= a/rt(h2+k2+l2)
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applications of
X-ray diffraction
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1. determination of crystal structure (computer-aided)
ex, DNA structure
2. determination of glassy-to-crystalline phase transitions in glassy materials
ex, take XRD at different temperatures and compare them
3. determination of crystal quality
ex, impurities make for wider peaks; the skinnier the peaks, the higher the crystal quality
4. amounts and phases present in multiphase systems
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coordination number
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number of immediate neighbors surrounding an atom
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Pauli exclusion principle
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no two electrons in an atom can have the same four quantum numbers
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Bohr model of atom
assumptions?
limitations?
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1. e move about nucleus in defined orbits
2. each e has quantized energy
3. transition form one state to another requires a quantized amount of energy to be absorbed or released

1. works correctly only for hydrogen
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bond energy vs. distance
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[image]
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ionic bond properties
bond strength?
directional bonds?
electrons?
conducting?
CNs?
ductile?
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relatively high bond energy
(high melting points, high stiffness, low thermal expansion)
low electrical conductivity
hard + brittle
high CNs
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covalent bond properties
bond strength?
directional bonds?
electrons?
conducting?
CNs?
ductile?
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high directionality
relatively strong bonds (but less than ionic)
tend to be brittle
electric insulating or semi-conducting
low CNs
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metallic bond properties
bond strength?
directional bonds?
electrons?
conducting?
CNs?
ductile?
appearance?
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can be weak or strong bonds
non-directional bonds
delocalized electrons
good conductors
high CNs
ductile at room temp
opaque and shiny
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non-crystallinity
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amorphous or glassy
no long-range order
no periodic packing--non-dense, random packing
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crystallinity
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long-range order
dense, ordered packing
periodic, 3D arrays
lower energy than amorphous
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Zachariasen Rules

glass formers
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1. each O should be linked to no more than 2 cations
2. CN of oxygen about each cation must be small (4 or less)
3. oxygen polyhedra share corners (not edges nor faces)
4. at least 3 corners of polyhedra should be shared

cation-O bond are strong
usually cation is relatively electronegative -> less ionic character
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some typical glass formers
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SiO2
B2O3
GeO
P2O5
As2O3
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diffraction rules

bcc
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h+k+l = even
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