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 18
37 ) where wp , known as the plasma frequency , is given by 4nne 0 , 2 = 1 ( 1 .
38 ) When e is real and negative ( o < 0p ) the solutions to ( 1 . 34 ) decay
exponentially in space ; i . e . , no radiation can propagate . However , when e is
positive ...
37 ) where wp , known as the plasma frequency , is given by 4nne 0 , 2 = 1 ( 1 .
38 ) When e is real and negative ( o < 0p ) the solutions to ( 1 . 34 ) decay
exponentially in space ; i . e . , no radiation can propagate . However , when e is
positive ...
Page 293
Optical Properties of the Monovalent Metals The color of a metal is determined by
the frequency dependence of its reflectivity : Some frequencies are reflected
more strongly than others . The very different colors of copper , gold , and
aluminum ...
Optical Properties of the Monovalent Metals The color of a metal is determined by
the frequency dependence of its reflectivity : Some frequencies are reflected
more strongly than others . The very different colors of copper , gold , and
aluminum ...
Page 450
99 ) V M and the other two are strictly transverse and degenerate , with frequency
8 A + 2B — sin Ika . ( 22 . 100 ) v M ( c ) What are the frequencies and
polarizations of the normal modes when k is along a [ 111 ] direction ( k = ( k , k , k
) / V3 ) ?
99 ) V M and the other two are strictly transverse and degenerate , with frequency
8 A + 2B — sin Ika . ( 22 . 100 ) v M ( c ) What are the frequencies and
polarizations of the normal modes when k is along a [ 111 ] direction ( k = ( k , k , k
) / V3 ) ?
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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