What are the electrical resistivity bands?
Insulator
Eg > 4 eV
Semiconductor
0 eV < Eg < 4 eV
Conductor
Eg = 0 eV
What causes coloured diamonds?
Diamond rarely perfect
most have defects
accumulated during crystal growth
Defects modify way light passes through diamond
so crystal selectively transmits some wavelengths & selectively absorbs others
∴ determines colour
How can graphene be fabricated?
Fabrication 2D material can use mechanical exfoliation
does not need heat treatment
just use of adhesive/scotch tape
to detach single layer C atoms from bulk graphite
What is the reaction equation for the fabrication of Si?
C + SiO2 –Δ–> Si + CO2
Why should H2 be used for fuel?
Clean
Abundant
Efficient
Why use H2O for H2 fuel production?
Clean
Abundant
Simple
What is the linear combination of molecular orbitals?
Pairing electrons in bonding orbital
overall energy of system lower than single atom
molecule forms
Electrons in anti-bonding orbitals
energy of system greater than single atom
molecule doesn’t form
How do bonds leave to bands?
Each combination creates MO
As no. atoms increases
no. overlapping MOs increase
E between neighbouring allowed orbitals
systematically reduced
Why do Group 1 alkali metals conduct?
Availability empty orbitals
in half filled s-band permits
easy movement electrons
almost no E needed
to promote valence electrons
to open unoccupied level
Leads to delocalisation of
electron energy over crystal
How does conduction occur in group 2?
Group 2 s-orbital is full
E separation of constituent
higher E s & p orbitals
close enough in solid state
that bands overlap
so partially filled band
Overlapping MO level
enables metal
What is the bandgap?
Forbidden gap
where no MOs allowed
What is the valence and conduction bands?
Highest E band
containing electrons
Lowest E level
above valence band
Separation dictates electronic properties
What is the effect of the band gap?
Large energy gap (Eg)
between VB & CB
is insulator
large E gap for electron movement
If Eg not large
electrons can move from VB to CB
from certain disturbances
eg. light or thermal treatment
semiconductor
What is the equation for resistance?
R = 𝜌L / A
𝜌 = resistivity
L = length
A = cross sectional area
What is an alloy?
“Composition knob”
Mixture of metallic elements
More components
more possible
atomic environments
What are the types of alloys?
Pure metal
Binary alloy
Low-entropy alloy
Ternary & quaternary
Medium-entropy alloy
> 5
High-entropy alloy
What is the configurational entropy?
Entropy purely from
how many different ways
atoms can be arranged on lattice site
S(conf) ⍺ kB x ln(W)
What are the different oxide structures?
Rocksalt - MO
simple fcc lattice
Rutile - MO2
chain of octahedra
Corundum
M2O£
Close-packed O
octa site
Monoclinic oxides
low-symmetry structures
Spinel - AB2O4
normal - A tetra, B octa
inverse - B tetra, A/B octa
Perovskite - ABO3
cube corner - A
octa corner - B
What are multinary semiconductors?
Tuned by composition
What are 2D layers?
Strong in-plane bonds
Weak interlayer coupling
How does XRD show phase transition?
No visible splitting =/= no phase transition
What is the universal link?
High-symmetry phase
eg. cubic
many different hkl equivalent
one peak
Symmetry lowers
eg. cumin -> tetragonal
equivalence lost
peak splitting
How to distinguish polymorphs using XRD?
Peak presence/absence
Peak position
d-spacing
Compare 2θ/d with reference
Relative intensities
What causes varying conductivity in the same element?
eg. group 14 elements
lower E with hybridising AOs
Carbon:
Diamond insulting
Graphene conductive
∵ bonding, hybridisation & band structure