Solid State PhysicsThe Drude Theory of Metals. The Sommerfeld Theory of Metals. Failures of the Free Electron Model. Crystal Lattices. The Reciprocal Lattice. Determination of Crystal Structures by X-Ray Diffraction. Classification of Bravais Lattices and Crystal Structures. Electron levels in a Periodic Potential: General Properties. Electrons in a Weak Periodic Potential.THe Tight-Binding Method. Other Methods for Calculating Band Structure. The Semiclassical Model of Electron Dynamics. The Semiclassical Theory of Conduction in Metals. Measuring the Fermi Surface. Band Structure of Selected Metals. Beyond the Relaxation. Time Approximation. Beyond the Independent Electron Approximation. Surface Effects. Classification of Solids. Cohesive Energy. Failures of the Static Lattice Model. Classical Theory of the Harmonic Crystal. Quantum Theory of the Harmonic Crystal. Measuring Phonon Dispersion Relations. Anharmonic Effects in Crystals. Phonons in Metals. Dielectric Properties of Insulators. Homogeneous Semiconductors. Inhomogeneous Semiconductors. Defects in Crystals. Diamagnetism and Paramagnetism. Electron Interactions and Magnetic Structure. Magnetic Ordering. Superconductivity. Appendices. |
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Page 142
For each partially filled band there will be a surface in k - space separating the
occupied from the unoccupied levels . The set of all such surfaces is known as
the Fermi surface , and is the generalization to Bloch electrons of the free
electron ...
For each partially filled band there will be a surface in k - space separating the
occupied from the unoccupied levels . The set of all such surfaces is known as
the Fermi surface , and is the generalization to Bloch electrons of the free
electron ...
Page 164
It follows from the definition on page 163 that the interior surface of the nth zone
is identical to the exterior surface of the ( n ... In practice it is often simplest to
construct free electron Fermi surfaces by procedures ( such as those described in
...
It follows from the definition on page 163 that the interior surface of the nth zone
is identical to the exterior surface of the ( n ... In practice it is often simplest to
construct free electron Fermi surfaces by procedures ( such as those described in
...
Page 264
AshcroftNeil W., Neil W. Ashcroft, N. David Mermin Brooks/Cole Publishing
Company. There is a class of measurable quantities valued primarily because
they contain detailed information about the geometric structure of the Fermi
surface .
AshcroftNeil W., Neil W. Ashcroft, N. David Mermin Brooks/Cole Publishing
Company. There is a class of measurable quantities valued primarily because
they contain detailed information about the geometric structure of the Fermi
surface .
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Contents
The Drude Theory of Metals | 1 |
Free electron densities and rga | 5 |
Electrical resistivities | 8 |
Copyright | |
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additional applied approximation assume atomic band boundary Bragg Bravais lattice calculation carrier Chapter charge close collisions compared condition conduction consider constant containing contribution correction crystal cubic density dependence derivation described determined direction discussion distribution effect electric field elements energy equal equation equilibrium example fact Fermi surface Figure follows free electron frequency given gives heat hexagonal holes important independent integral interaction ionic ions known lattice vector leading levels limit linear magnetic field mean measured metals method momentum motion normal Note observed occupied orbits perpendicular phonon plane positive possible potential present primitive cell problem properties reciprocal lattice reflection region relation requires result satisfy scattering semiclassical Show shown simple single solid solution space specific structure symmetry Table temperature term theory thermal vanishes volume wave functions wave vector zero zone