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 320
13 ) dt or coll This is the celebrated Boltzmann equation . The terms on the left
side are often referred to as the drift terms , and the term on the right side as the
collision term . When the form ( 16 . 8 ) is used for the collision term , the
Boltzmann ...
13 ) dt or coll This is the celebrated Boltzmann equation . The terms on the left
side are often referred to as the drift terms , and the term on the right side as the
collision term . When the form ( 16 . 8 ) is used for the collision term , the
Boltzmann ...
Page 648
20 ) to particular cases , we first observe that unless the term that is linear in H
vanishes identically ( as it sometimes does ) , it will almost always be the
dominant term even when the field is very strong ( ~ 104 gauss ) . If it does not
vanish , ( n ...
20 ) to particular cases , we first observe that unless the term that is linear in H
vanishes identically ( as it sometimes does ) , it will almost always be the
dominant term even when the field is very strong ( ~ 104 gauss ) . If it does not
vanish , ( n ...
Page 766
3 ) , we can express ( E . 8 ) in terms of Bloch functions : 52 ( E . 9 ) 10 - 8 ħ2 | <
nkl 9 . ... 2 The first term on the right of ( E . 8 ) comes from placing the second -
order term in H + , ( Eq . ( E . 2 ) ) into the first - order term in the perturbation
theory ...
3 ) , we can express ( E . 8 ) in terms of Bloch functions : 52 ( E . 9 ) 10 - 8 ħ2 | <
nkl 9 . ... 2 The first term on the right of ( E . 8 ) comes from placing the second -
order term in H + , ( Eq . ( E . 2 ) ) into the first - order term in the perturbation
theory ...
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Contents
The Drude Theory of Metals | 1 |
Free electron densities and ra | 5 |
Thermal conductivities | 21 |
Copyright | |
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additional applied approximation assume atomic band Bragg Bravais lattice calculation carrier cell centered Chapter charge classical close collisions compared condition conduction consider constant constructed containing contribution crystal cubic density dependence described determined direction discussion distance distribution effect electric field elements energy equation equilibrium example faces fact factor Fermi surface Figure follows free electron frequency given gives heat hexagonal holes important independent integral interaction ionic ions known lattice vector leads levels limit linear magnetic field mean measured metals method normal Note observed occupied orbits perpendicular phonon plane position possible potential primitive cell Problem properties reciprocal lattice reflection region relation requires result satisfy scattering semiclassical Show shown simple single solid solution space space groups specific sphere structure symmetry Table temperature term theory thermal unit vanishes volume wave functions wave vector zone