1. Fermi Wavevector 2-D projection ky of 3-D k-space dk
Each state can hold 2 electrons
of opposite spin (Pauli’s principle)
To hold N electrons k kx
2p/L
kF: Fermi wavevector
he: electron number density

2. Fermi Parameters for Free Electron Metals
Vacuum
Level
F: Work Function
Fermi Energy, EF
Energy
Fermi Energy
Fermi Velocity:
Fermi Temp.
Band Edge

3. Effect of Temperature
Fermi-Dirac equilibrium
distribution for the
probability of electron
occupation of energy
level E at temperature T

4. Number and Energy Densities
Summation
over k-states
Integration
over k-states
Transformation from
k to E variable
Integration of
E-levels for
number and energy
densities
Number of k-states available between
energy E and E+dE
Density of States

5. Electronic Specific Heat and Thermal Conductivity
Electron Scattering Mechanisms
Defect Scattering
Phonon Scattering
Boundary Scattering (Film Thickness,
Grain Boundary) e
Temperature, T
Defect
Scattering
Phonon Scattering
Increasing
Defect Concentration
In Bulk Solids

6. Thermal Conductivity of Cu and Al
Matthiessen Rule: