Fundamentals of the Physics of Solids / 16-back-matter

692

Subject Index

in amorphous silicon 306

Ruderman–Kittel oscillation

465

in quasicrystals

316

Rushbrook inequality 497

Raman active mode

435

Russell–Saunders coupling

40

Raman scattering

433–436

rutile structure 204

rapidity

563

RVB see spin liquid, resonating

rare-earth garnet

547

valence bond

rare-earth metals

452

Rydberg energy

588

Rashba term

38

satellite peaks

314, 459

reciprocal lattice

120–124

definition

120

saturated bond

99

of bcc lattice

212

scaling laws

496–500

of fcc lattice

216

scanning tunneling microscope 270

of hexagonal lattice

225

scattering length

247, 440

primitive vectors of

122

scattering vector

548

reduction

638

Schoenflies symbols

125

relativistic e ects

36–38

Schottky defect

280–282

relaxation function

63

Schwinger boson

532

relaxation time

screw axis 158

spin–lattice

64

screw dislocation

285

spin–spin

65

screw rotation

158

renormalization

501

s–d interaction

465

renormalization-group transformation

Seitz symbol

157

500–502

selection rules

184, 650

resonance absorption 61, 72

separation energy

77

resonance fluorescence

72

shear modulus

365, 369

resonance integral

98

shift operator

see ladder operator

resonating

valence bond spin

Shockley partial dislocation 295

liquid

585

short-range order

14, 305–309

Riemann zeta function

617

Shubnikov groups

167

RKKY interaction

466

simple cubic crystals

205–210

rock-salt structure

see

sodium

single crystal

20

chloride, structure

skutterudite structure

204

Rodrigues’ formula

Slater determinant

101

for generalized Laguerre

smectic phases

27–28

polynomials

625

sodium chloride

for Hermite polynomials

623

Madelung energy of

86

for Laguerre polynomials

624

structure

204, 219, 238

rotating-crystal method

265

solid solutions 21

rotation axis

125

space groups

162

rotation group

642, 665

black-and-white 168

rotation–inversion

see

symmetry

gray 168

operations, rotation–inversion

in two dimensions

see plane groups

rotation–reflection

see

symmetry

magnetic

166

operations, rotation–reflection

specific heat

rotational symmetry 125

of classical crystals

383–385

rotoinversion

see

symmetry opera-

of magnon gas

529

tions, rotation–inversion

of phonon gas

413–418

rotoreflection

see

symmetry opera-

specific susceptibility

see susceptibil-

tions, rotation–reflection

ity, specific

Subject Index

693

spectrum

sti ness constant

in chain of S = 1/2 spins

539

of spin waves

524

in the XY model

575

Stirling formula

619

sphalerite structure

204, 221–224

STM see

scanning tunneling

spherical Bessel functions

621

microscope

spherical Hankel functions

622

Stokes component

434

spherical harmonics

627

strain tensor

364

spherical Neumann functions 622

stress tensor

365

spin

structure amplitude

248

classical

structure factor

18, 248

precession of

516

dynamical

see dynamical structure

classical equation of motion in

factor

magnetic field

516

in amorphous silicon

306

quantum mechanical equation of

partial

307

motion

516

Strukturbericht designation

205

spin-flop phase

484

sublattice magnetization

see

also

spin-flop transition

484, 546

magnetization

spin glass

449

temperature dependence of

545

spin ladders

581–583

substitutional impurity

274

spin–lattice relaxation

64

superconductivity

2

spin liquid

551, 574 584–586

superexchange

466–468

algebraic

584

susceptibility

resonating valence bond

585

Curie

53

spin operators

665

definition of

48

representation in terms of boson

Langevin

53

operators

530–533, 541

mass

49

representation in terms of fermion

molar

49

operators

533

of antiferromagnets

482–484

spin–orbit interaction

38

of ferromagnets

see Curie–Weiss

spin waves

law

antiferromagnetic

540–547

divergent spin-wave contribution

classical

516–520

to

530

antiferromagnetic

518–520

specific

49

ferromagnetic

516–518

Van Vleck

60

illustration of

518, 520

volume

49

definition of

517

symmetry breaking

199

ferromagnetic

521

symmetry elements

quantum mechanical description of

glide line

158

521–540

glide plane

158

spinel structure

204, 223

inversion center

126

spinons

570

mirror line

124

dispersion relation of

see dispersion

mirror plane

124, 125

relation, of spinons

rotation axis

125

spiral structures

459–461

rotation–inversion axis

126

split interstitial

279

rotation–reflection axis

126

stacking faults

293–294

screw axis

158

staggered susceptibility

482

symmetry operations

step function see

Heaviside

glide reflection

158

step function

inversion

126

Subject Index

695

zero-point energy 392, 543

zero-point vibrations

89, 392

zero-point spin contraction

zeta function 617

in antiferromagnetic ground

zincblende structure

see

state 544

sphalerite structure

in two-dimensional antiferro-

magnets

551

Name

Symbol

Value

Bohr magneton

m

9.274 009 × 10

−24

−1

μB = e

/2

2 e

2

10

J T

Bohr radius

a0 = 4π 0 /mee

0.529 177 × 10−

m

Boltzmann constant

kB

1.380 650 × 10−23 J K−1

Conductance quantum

G0 = 2e2/h

7.748 092 × 10−5 S

Electron g-factor

ge = 2μe /μB

−2.002 319

Electron gyromagnetic ratio

γe = 2|μe|/

1.760 860 × 1011 s−1 T−1

γe/2π

28 024.9540 MHz T−1

Electron magnetic moment

μe

−9.284 764 × 10−24 J T−1

Electron mass

me

−1.001 160 μB

−31

2

9.109 382 × 10

12 kg

1

Electric constant

0 = 1/μ0 c

8.854 188 × 10−

F m−

Elementary charge

e

1.602 176 × 10−19 C

Hartree energy

Eh = e2/4π 0a0

4.359 744 × 10−18 J

in eV

27.211 383 eV

Josephson constant

KJ = 2e/h

483 597.9 × 109 Hz V−1

Magnetic constant

−7

−2

μ0

4π × 10

N A

15

Wb

Magnetic flux quantum

Φ0 = h/2e

2.067 834 × 10−

Nuclear magneton

μN = e /2mp

5.050 783 × 10−27 J T−1

Neutron mass

mn

1.674 927 × 10

−27 kg

26

1

Neutron magnetic moment

μn

−0.966 236 × 10−

J T−

Neutron g-factor

−1.913 043 μN

gn = 2μn/μN

−3.826 085

34

J s

Planck constant

h

6.626 069 × 10−15

in eV

h/{e}

4.135 667 × 10−

eV s

Proton g-factor

gp = 2μp/μN

5.585 695

8 −1 T−1

Proton gyromagnetic ratio

γp

= 2μ /

2.675 222 × 10

p

s

1

γp/2π

42.577 482 MHz T−

Proton magnetic moment

μp

1.410 607 × 10−26 J T−1

2.792 847 μN

Proton mass

mp

1.672 622 × 10−27 kg

Reduced Planck constant

= h/2π

1.054 572 × 10−34 J s

in eV

/{e}

6.582 119 × 10

−16 eV s

2

1

Rydberg constant

R

= α mec/2h

10 973 731.569 m−

Rydberg energy

∞

2.179 872 × 10−18 J

Ry = R∞hc

in eV

13.605 692 eV

Speed of light

c

299 792 458 m s−1

Von Klitzing constant

RK = h/e2

25 812.807 572 Ω