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 123
The Schoenflies name of the group is given to the left of the representative object
, and the international designation the right . The groups are organized into
vertical columns by crystal system , and into horizontal rows by the Schoenflies or
...
The Schoenflies name of the group is given to the left of the representative object
, and the international designation the right . The groups are organized into
vertical columns by crystal system , and into horizontal rows by the Schoenflies or
...
Page 218
One uses the model both to deduce transport properties from a given (calculated)
band structure and to deduce features of the band structure from the observed
transport properties. Given the functions S„(k), the semiclassical model
associates ...
One uses the model both to deduce transport properties from a given (calculated)
band structure and to deduce features of the band structure from the observed
transport properties. Given the functions S„(k), the semiclassical model
associates ...
Page 571
6 ) m * = where m * , the " cyclotron effective mass , ” is given by det M \ 1 / 2 ( 28 .
7 ) | Mzz ) This result can also be written in terms of the eigenvalues and principal
axes of the mass tensor as ( Problem 1 ) : m * = mim2m3 V Ĥ , 2m , + Â2 m2 + ...
6 ) m * = where m * , the " cyclotron effective mass , ” is given by det M \ 1 / 2 ( 28 .
7 ) | Mzz ) This result can also be written in terms of the eigenvalues and principal
axes of the mass tensor as ( Problem 1 ) : m * = mim2m3 V Ĥ , 2m , + Â2 m2 + ...
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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