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Kosevich A.M. The crystal lattice (2ed., Wiley, 2005)(ISBN 3527405089)(342s)_PSa_

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344

Index

 

 

 

 

frustration 316

 

 

 

 

 

 

g

 

 

 

 

glide of a dislocation

239

 

 

Goldstone excitations

74

 

 

Green function

22

 

 

 

Green tensor

230

 

 

 

group of translations

65

 

 

group velocity

70

 

 

 

h

 

 

 

 

Hamiltonian of harmonic crystal

168

 

Hamiltonian of phonon interaction

184

 

Hooke’s law

79

 

 

hyperbolic point 256

i

impurity 218 internal modes 98 interstitial atom 218

isofrequency surface 125

k

kinematic theory of diffraction 12 kink 46

l

 

 

lattice constant

29

 

lattice crystal energy

167

Laue equations

11

 

layered crystal

83

 

librations 98

 

 

lifetime of excitations

273

Lindemann condition

204

linear defect 215

 

local frequency

251

 

local inhomogeneity

215

local vibrations

251

 

long-range order

314

 

long-wave vibrations

20

m

matrix of atomic force constants 77

mean hydrostatic pressure

79

Miller indices

10

 

 

minibands 57

 

 

 

modes of vibrations

22

 

molecular crystal

98

 

monatomic lattice

4

 

n

 

 

 

nearest-neighbor interaction

21

nondecaying dispersion law

188

normal coordinates

72

 

normal modes

22

 

 

normal process

185

 

o

 

 

 

 

 

 

 

occupation number representation

165

occupation numbers

167

 

optical vibrations

38

 

 

orientational vibrations

99

 

p

 

 

 

 

 

 

 

pair correlation function

174

 

Peierls force

312

 

 

 

 

phonon

170

 

 

 

 

 

 

phonon distribution function 172

 

phonon gas

172

 

 

 

 

phonon interaction

183

 

 

planar defect

289

 

 

 

plastic deformation

325

 

 

plasticity carrier

 

325

 

 

point defect

51, 215

 

 

 

polarization vector

66

 

 

polyatomic lattice

4

 

 

 

q

 

 

 

 

 

 

 

quadratic dispersion law

20

 

quantization of crystal vibrations

165

quantum crystal

203

 

 

quantum diffusion

222

 

 

quantum dilatation

206

 

 

quantum liquid

205

 

 

 

quantum tunneling

206

 

 

quasi-gap

276

 

 

 

 

 

quasi-local frequency

268

 

quasi-local vibrations

267

 

quasi-particles

171

 

 

 

quasi-wave vector

64

 

 

r

 

 

 

 

 

 

 

reciprocal lattice

 

7

 

 

 

reciprocal lattice vector

7

 

reciprocal space

7

 

 

 

reduced zone

8

 

 

 

 

 

resolvent

145

 

 

 

 

 

resonance state

259

 

 

 

s

Saint Venant compatibility conditions 78 scalar model 62

screw-dislocation 234 separatrix 35

short range correlation 205 simple lattice 7

slip plane of a dislocation 238 slip surface 238

slowness surface 125

soliton 28

 

space group

5

stacking fault

289

starting stress

240

strain tensor

77

Index 345

stress tensor

78

 

 

string model

333

 

 

structure factor 191

 

substitutional impurity

215

superlattice 36

 

 

surface defect

215

 

t

 

 

 

 

topological order

317

 

translational mode

47

 

translational period

3

 

translational symmetry

3

translational vector

3

 

translational vibrations

98

tunneling atomic motion

211

u

 

 

 

 

umklapp process

185

 

unit cell

3

 

 

 

v

 

 

 

 

vacancy

215

 

 

 

vacancy wave

220

 

van Hove theorem

135

 

vortex

237

 

 

 

z

 

 

 

 

zero vibrations

171

 

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