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 235
50 ) T eH H x - + W . Since all occupied orbits are closed , Ak = k ( 0 ) – kl – t ) is
bounded in time , so for sufficiently large r the drift velocity w gives the dominant
contribution to ( 12 . 50 ) and we have35 lim ji = – new = - ( E ~ Â ) . ( 12 . 51 ) Ifit
is ...
50 ) T eH H x - + W . Since all occupied orbits are closed , Ak = k ( 0 ) – kl – t ) is
bounded in time , so for sufficiently large r the drift velocity w gives the dominant
contribution to ( 12 . 50 ) and we have35 lim ji = – new = - ( E ~ Â ) . ( 12 . 51 ) Ifit
is ...
Page 236
21 ) of free electron theory , reappearing under remarkably more general
circumstances provided that ( a ) all occupied ( or all unoccupied ) orbits are
closed , ( b ) the field is large enough that each orbit is traversed many times
between ...
21 ) of free electron theory , reappearing under remarkably more general
circumstances provided that ( a ) all occupied ( or all unoccupied ) orbits are
closed , ( b ) the field is large enough that each orbit is traversed many times
between ...
Page 237
10 A section of constant - energy surfaces in a plane perpendicular to the
magnetic field H , showing occupied open ( shaded ) and closed ( unshaded )
orbits . In ( a ) no electric field is present and the currents carried by open orbits in
...
10 A section of constant - energy surfaces in a plane perpendicular to the
magnetic field H , showing occupied open ( shaded ) and closed ( unshaded )
orbits . In ( a ) no electric field is present and the currents carried by open orbits in
...
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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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Common terms and phrases
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