Fermi Wavevector 2-D projection ky of 3-D k-space dk

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Presentation transcript:

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

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

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

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

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

Thermal Conductivity of Cu and Al Matthiessen Rule:

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