## Introduction to Solid State PhysicsNew edition of the most widely-used textbook on solid state physics in the world. Describes how the excitations and imperfections of actual solids can be understood with simple models that have firmly established scope and power. The foundation of this book is based on experiment, application and theory. Several significant advances in the field have been added including high temperature superconductors, quasicrystals, nanostructures, superlattices, Bloch/Wannier levels, Zener tunneling, light-emitting diodes and new magnetic materials. |

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Results 1-3 of 59

Page 89

Charles Kittel. tion. Thus for K parallel to [100] the two independent shear waves

have equal velocities. This is not true for K in a general direction in the crystal.

Waves in the [110] Direction There is a special interest in waves that propagate in

a face diagonal direction of a cubic crystal, because the three elastic constants

can be found simply from the three propagation velocities in this direction.

Consider a shear wave that propagates in the xy plane with particle

w in the z ...

Charles Kittel. tion. Thus for K parallel to [100] the two independent shear waves

have equal velocities. This is not true for K in a general direction in the crystal.

Waves in the [110] Direction There is a special interest in waves that propagate in

a face diagonal direction of a cubic crystal, because the three elastic constants

can be found simply from the three propagation velocities in this direction.

Consider a shear wave that propagates in the xy plane with particle

**displacement**w in the z ...

Page 99

When a wave propagates along one of these directions, entire planes of atoms

move in phase with

direction of the wavevector. We can describe with a single coordinate u, the

dimensional. For each wavevector there are three modes, one of longitudinal

polarization (Fig. 2) and two of transverse polarization (Fig. 3). We assume that

the elastic response ...

When a wave propagates along one of these directions, entire planes of atoms

move in phase with

**displacements**either parallel or perpendicular to thedirection of the wavevector. We can describe with a single coordinate u, the

**displacement**of the planes from its equilibrium position. The problem is then onedimensional. For each wavevector there are three modes, one of longitudinal

polarization (Fig. 2) and two of transverse polarization (Fig. 3). We assume that

the elastic response ...

Page 158

If the field is applied at time t = 0 to an electron gas that fills the Fermi sphere

centered at the origin of k space, then at a later time t the sphere will be

to a new center at 8k = —eEt/fz . (41) Notice that the Fermi sphere is

a whole. Because of collisions of electrons with impurities, lattice imperfections,

and phonons, the

electric field. If collision time is 1', the

steady ...

If the field is applied at time t = 0 to an electron gas that fills the Fermi sphere

centered at the origin of k space, then at a later time t the sphere will be

**displaced**to a new center at 8k = —eEt/fz . (41) Notice that the Fermi sphere is

**displaced**asa whole. Because of collisions of electrons with impurities, lattice imperfections,

and phonons, the

**displaced**sphere may be maintained in a steady state in anelectric field. If collision time is 1', the

**displacement**of the Fermi sphere in thesteady ...

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### Contents

PERIODIC ARRAYS OF ATOMS | 3 |

INDEX SYSTEM FOR CRYSTAL PLANES | 12 |

NONIDEAL CRYSTAL STRUCTURES | 21 |

Copyright | |

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absolute zero alloys approximation atoms band edge Bloch Brillouin zone calculated Chapter charge collisions components conduction band conduction electrons crystal structure cubic deﬁned density dielectric function diffraction direction dislocation dispersion relation displacement effective mass elastic electric field electron concentration electron gas energy band energy gap equation equilibrium exciton experimental Fermi surface ferroelectric ferromagnetic ﬁeld Figure ﬁlled ﬁrst Fourier free atom free electron frequency germanium heat capacity hole impurity integral interaction ion cores lattice constant lattice point low temperatures magnetic field metals modes momentum motion nearest-neighbor normal optical orbitals oscillator particle phase phonon plane plasmons polarization positive potential energy primitive cell quantum reciprocal lattice vector resonance result scattering semiconductor shown in Fig silicon Solid state physics space specimen sphere spin superconducting Table theory thermal tion transition valence band values velocity volume wave wavefunction wavelength wavevector x-ray zone boundary zone scheme