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 viii
A particular course is unlikely to follow the chapters ( or even selected chapters )
in the order in which they are ... Our particular choice of sequence follows certain
major strands of the subject from their first elementary exposition to their more ...
A particular course is unlikely to follow the chapters ( or even selected chapters )
in the order in which they are ... Our particular choice of sequence follows certain
major strands of the subject from their first elementary exposition to their more ...
Page 87
Now any vector k can be written as a linear combination of the bi : k = k b2 + k2b2
+ k3b3 . ( 5 . 6 ) If R is any direct lattice vector , then R = nja , + n2a2 + N3a 3 , ( 5 .
7 ) where the n ; are integers . It follows from ( 5 . 4 ) that k• R = 21 ( kını + k2n2 ...
Now any vector k can be written as a linear combination of the bi : k = k b2 + k2b2
+ k3b3 . ( 5 . 6 ) If R is any direct lattice vector , then R = nja , + n2a2 + N3a 3 , ( 5 .
7 ) where the n ; are integers . It follows from ( 5 . 4 ) that k• R = 21 ( kını + k2n2 ...
Page 705
21 ) then it follows that HCR ) = E | R ) + guH | R ) + SE J ( R – R ' ) [ | R ) – \ R ' ) ] ,
( 33 . 22 ) # R , where E , is the ground - state energy ( 33 . 11 ) . Although R ) is
therefore not an eigenstate of HC , 50 / R ) is a linear combination of R ) and ...
21 ) then it follows that HCR ) = E | R ) + guH | R ) + SE J ( R – R ' ) [ | R ) – \ R ' ) ] ,
( 33 . 22 ) # R , where E , is the ground - state energy ( 33 . 11 ) . Although R ) is
therefore not an eigenstate of HC , 50 / R ) is a linear combination of R ) and ...
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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