Phases of matter and their transitions: concepts and principles for chemists, physicists, engineers, and materials scientists
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| Language: | English |
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Weinheim
Wiley-VCH
[2024]
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| Online Access: | http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-35031-5/ Inhaltsverzeichnis |
| Physical Description: | xxxi, 672 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm |
| ISBN: | 9783527350315 |
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| 245 | 1 | 0 | |a Phases of matter and their transitions |b concepts and principles for chemists, physicists, engineers, and materials scientists |c Gijsbertus de With |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c [2024] | |
| 300 | |a xxxi, 672 Seiten |b Illustrationen, Diagramme |c 24.4 cm x 17 cm | ||
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| 653 | |a Festkörperphysik | ||
| 653 | |a MSD0: Materialeigenschaften | ||
| 653 | |a Materialeigenschaften | ||
| 653 | |a Materials Science | ||
| 653 | |a Materialwissenschaften | ||
| 653 | |a PH60: Festkörperphysik | ||
| 653 | |a Physics | ||
| 653 | |a Physik | ||
| 653 | |a Properties of Materials | ||
| 653 | |a Solid State Chemistry | ||
| 653 | |a Solid State Physics | ||
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| adam_text | VII
CONTENTS
PREFACE
XVI
LIST
OF
FREQUENTLY
USED
SYMBOLS
AND
ABBREVIATIONS
XXI
SI
UNITS,
PHYSICAL
CONSTANTS,
AND
CONVERSION
FACTORS
XXVII
SUMMARY
OF
NOTATION
XXXI
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
INTRODUCTION
1
CONSTITUENTS
OF
MATTER
1
MATTER
AND
ENERGY:
INTERACTION
AND
CHANGE
3
MASS
AND
CHARGE
4
MACROSCOPIC
AND
MICROSCOPIC
APPROACHES
6
GASES,
LIQUIDS,
AND
SOLIDS
7
WHAT
TO
EXPECT?
11
UNITS
AND
NOTATION
12
REFERENCES
13
FURTHER
READING
14
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
CLASSICAL
MECHANICS
15
FRAMES,
PARTICLES,
AND
COORDINATES
15
FROM
NEWTON
TO
HAMILTON
1
7
HAMILTON
S
PRINCIPLE
AND
LAGRANGE
S
EQUATIONS
19
CONSERVATION
LAWS
21
HAMILTON
S
EQUATIONS
24
HAMILTON
S
PRINCIPLE
FOR
CONTINUOUS
SYSTEMS
26
THE
VIRIAL
THEOREM
27
FINAL
REMARKS
28
REFERENCES
28
FURTHER
READING
29
3
3.1
QUANTUM
MECHANICS
30
QUANTUM
CONCEPTS
30
3.1.1
FUNDAMENTAL
QUANTUM
KINEMATICS
30
3.1.2
OPERATORS
AND
THEIR
REPRESENTATION
33
3.1.3
FUNDAMENTAL
QUANTUM
KINETICS
35
3.2
INTERPRETATION
AND
SOME
EXACT
SOLUTIONS
37
VIII
CONTENTS
3.2.1
THE
PARTICLE
IN A
BOX
39
3.2.2
THE
HARMONIC
OSCILLATOR
40
3.2.3
THE
RIGID
ROTATOR
41
3.2.4
MANY
PARTICLES
42
3.3
APPROXIMATE
QUANTUM
MECHANICS
SOLUTIONS
43
3.3.1
THE
BORN-OPPENHEIMER
APPROXIMATION
43
3.3.2
THE
VARIATION
PRINCIPLE
44
3.3.3
THE
HARTREE-FOCK
METHOD
47
3.3.4
PERTURBATION
THEORY
51
3.3.5
THE
DENSITY
OPERATOR
53
3.4
FINAL
REMARKS
55
REFERENCES
55
FURTHER
READING
56
4
INTERMOLECULAR
INTERACTIONS
57
4.1
THE
SEMI-CLASSICAL
APPROACH
57
4.1.1
ELECTROSTATIC
INTERACTION
59
4.1.2
INDUCTION
INTERACTION
62
4.1.3
DISPERSION
INTERACTION
63
4.1.4
THE
TOTAL
INTERACTION
64
4.2
THE
QUANTUM
APPROACH
66
4.3
MODEL
INTERACTIONS
69
4.4
REFINEMENTS
72
4.4.1
HYDROGEN
BONDING
72
4.4.2
THREE-BODY
INTERACTIONS
74
4.4.3
ACCURATE
EMPIRICAL
POTENTIALS
74
4.5
FINAL
REMARKS
75
REFERENCES
76
FURTHER
READING
77
5
CONTINUUM
MECHANICS
78
5.1
THE
NATURE OF
THE
CONTINUUM
78
5.2
KINEMATICS
79
5.2.1
MATERIAL
AND
SPATIAL
COORDINATES
79
5.2.2
GENERAL
DEFORMATIONS
80
5.2.3
THE
SMALL
DISPLACEMENT
GRADIENT
APPROXIMATION
81
5.3
BALANCE
EQUATIONS
83
5A
KINETICS
85
5.4.1
THE
PRINCIPLE
OF
VIRTUAL
POWER
86
5.4.2
LINEAR
MOMENTUM
86
5.4.3
ANGULAR
MOMENTUM
88
5.4.4
CAUCHY
S
EQUATIONS
OF
MOTION
88
5.5
THE
STRESS
TENSOR
89
5.6
MECHANICAL
ENERGY
90
5.7
FINAL
REMARKS
91
REFERENCES
92
FURTHER
READING
92
CONTENTS
|
IX
6
MACROSCOPIC
THERMODYNAMICS
93
6.1
CLASSICAL
THERMODYNAMICS
93
6.1.1
THE
FOUR
LAWS
93
6.1.2
QUASI-CONSERVATIVE
AND
DISSIPATIVE
FORCES
99
6.1.3
EQUATIONS
OF
STATE
100
6.1.4
MECHANICAL
AND
THERMAL
EQUILIBRIUM
101
6.1.5
AUXILIARY
FUNCTIONS
101
6.1.6
SOME
DERIVATIVES
AND
THEIR
RELATIONSHIPS
103
6.1.7
CHEMICAL
CONTENT
103
6.1.8
CHEMICAL
EQUILIBRIUM
106
6.2
THE
LOCAL
STATE
AND
INTERNAL
VARIABLES
110
6.2.1
THE
BEHAVIOR
OF
INTERNAL
VARIABLES
111
6.2.2
THE
LOCAL
STATE
113
6.3
FIELD
FORMULATION
115
6.3.1
THE
FIRST
LAW
115
6.3.2
THE
SECOND
LAW
116
6.4
THE
LINEAR
APPROXIMATION
IN
NON-EQUILIBRIUM
THERMODYNAMICS
118
6.5
FINAL
REMARKS
122
REFERENCES
122
FURTHER
READING
123
7
MICROSCOPIC
THERMODYNAMICS
125
7.1
BASICS
OF
STATISTICAL
THERMODYNAMICS
125
7.1.1
PRELIMINARIES
125
7.1.2
ENTROPY
AND
PARTITION
FUNCTIONS
128
7.1.3
FLUCTUATIONS
132
7.2
NONINTERACTING
PARTICLES
134
7.2.1
SINGLE
PARTICLE
134
7.2.2
MANY
PARTICLES
134
7.2.3
PRESSURE
AND
ENERGY
135
7.3
THE
SEMI-CLASSICAL
APPROXIMATION
136
7.4
INTERACTING
PARTICLES
141
7.5
INTERNAL
CONTRIBUTIONS
142
7.5.1
VIBRATIONS
142
7.5.2
ROTATIONS
145
7.5.3
ELECTRONIC
TRANSITIONS
147
7.6
SOME
GENERAL
ASPECTS
148
7.6.1
MODE
OR
AVERAGE?
148
7.6.2
FLUCTUATIONS
AND
OTHER
ENSEMBLES
149
7.6.3
EQUIPARTITION OF
ENERGY
150
7.6.4
THE
GIBBS-BOGOLIUBOV
INEQUALITY
151
REFERENCES
152
FURTHER
READING
154
8
GASES
155
8.1
BASIC
KINETIC
THEORY
OF
GASES
155
X
I
CONTENTS
8.2
THE
VIRIAL
EXPANSION
159
8.2.1
SOME
FURTHER
REMARKS
162
8.3
EQUATIONS OF
STATE
164
8.4
THE
PRINCIPLE
OF
CORRESPONDING
STATES
168
8.4.1
THE
EXTENDED
PRINCIPLE
171
8.5
TRANSITION
STATE
THEORY
174
8.5.1
CHEMICAL
KINETICS
BASICS
174
8.5.2
THE
EQUILIBRIUM
CONSTANT
175
8.5.3
POTENTIAL
ENERGY
SURFACES
176
8.5.4
THE
ACTIVATED
COMPLEX
177
8.5.5
THE
LINK
TO
EXPERIMENT
179
8.6
DIELECTRIC
BEHAVIOR
180
8.6.1
BASIC
ASPECTS
180
8.6.2
THE
DEBYE-LANGEVIN
EQUATION
182
8.6.3
FREQUENCY
DEPENDENCE
185
8.6.4
ESTIMATING
U
AND
A
190
REFERENCES
193
FURTHER
READING
196
9
LIQUIDS
197
9.1
APPROACHES
TO
LIQUIDS
197
9.2
DISTRIBUTION
FUNCTIONS,
STRUCTURE,
AND
ENERGETICS
198
9.2.1
STRUCTURE
200
9.2.2
ENERGETICS
203
9.3
THE
INTEGRAL
EQUATION
APPROACH
206
9.3.1
THE
ORNSTEIN-ZERNIKE
EQUATION
206
9.3.2
THE
YVON-BORN-GREEN
EQUATION
209
9.3.3
OTHER
INTEGRAL
EQUATIONS
210
9.3.4
THE
POTENTIAL
OF
MEAN
FORCE
212
9.4
COMPARISON:
HARD-SPHERE
AND
LENNARD-JONES
RESULTS
214
9.5
SCALED-PARTICLE
THEORY
217
9.6
STRUCTURAL
MODELS
218
9.6.1
CELL
MODELS
220
9.6.2
HOLE
MODELS
226
9.6.3
SOME
OTHER
IMPLEMENTATIONS
OF
HOLE
THEORY
231
9.7
THE
GENERALIZED
VAN
DER
WAALS
MODEL
237
9.8
PHONON
THEORY
OF
LIQUIDS
240
9.9
THE
QUANTUM
CLUSTER
EQUILIBRIUM
MODEL
244
9.10
SOME
CONTINUUM
ASPECTS
245
9.11
DIELECTRIC
BEHAVIOR
249
REFERENCES
255
FURTHER
READING
259
10
SOLIDS
260
10.1
INORGANICS
AND
METALS
260
10.2
POLYMERS
263
CONTENTS
XI
10.3
LATTICE
CONCEPTS
265
10.4
CRYSTALLINE
STRUCTURES
267
10.5
BONDING:
THE
QUANTUM-MECHANICAL
APPROACH
270
10.5.1
THE
NEARLY
FREE
ELECTRON
APPROXIMATION
270
10.5.2
THE
TIGHT
BINDING
APPROXIMATION
275
10.5.3
DENSITY
FUNCTIONAL
THEORY
278
10.6
BONDING:
THE
EMPIRICAL
APPROACH
282
10.6.1
ATOMS,
IONS,
AND
ELECTRONEGATIVITY
282
10.6.2
COVALENT
AND
MOLECULAR
CRYSTALS
286
10.6.3
IONIC
CRYSTALS:
THE
CLASSICAL
APPROACH
287
10.6.4
IONIC
CRYSTALS:
ELECTRONEGATIVITY
APPROACHES
290
10.6.5
METALLIC
CRYSTALS
294
10.7
LATTICE
DYNAMICS
296
10.8
TWO
SIMPLE
MODELS
299
10.9
PROPERTIES
300
10.9.1
HEAT
CAPACITY
300
10.9.2
THERMAL
EXPANSIVITY
302
10.9.3
BULK
MODULUS
303
10.10.3
OTHER
DEFECTS
310
10.10
DEFECTS
304
10.10.1
ZERO-DIMENSIONAL
DEFECTS
305
10.10.2
ONE-DIMENSIONAL
DEFECTS
308
10.11
THERMO-ELASTICITY
312
10.11.1
ELASTIC
BEHAVIOR
312
10.11.2
STRESS
STATES
AND
THE
ASSOCIATED
ELASTIC
CONSTANTS
313
10.11.3
ELASTIC
ENERGY
314
10.11.4
A
MATTER
OF
NOTATION
315
10.11.5
ANISOTROPIC
MATERIALS
316
10.11.6
THE
EFFECT
OF
TEMPERATURE
319
10.12
FINAL
REMARKS
320
REFERENCES
320
FURTHER
READING
325
11
INTERFACES
326
11.1
THERMODYNAMICS OF
INTERFACES
326
11.2
ONE-COMPONENT
SURFACES:
SEMIEMPIRICAL
CONSIDERATIONS
331
11.3
ONE-COMPONENT
SURFACES:
THEORETICAL
CONSIDERATIONS
336
11.3.1
DENSITY
FUNCTIONAL
THEORY
336
11.3.2
CAPILLARY
WAVE
THEORY
341
11.4
SOLID
SURFACE
STRUCTURE
343
11.4.1
SURFACE
ROUGHENING
345
11.5
ADSORPTION
AT
INTERFACES
349
11.5.1
SOLUTIONS
349
11.5.2
THERMODYNAMICS
OF
ADSORPTION
355
11.5.3
STATISTICS
OF
ADSORPTION
357
11.5.4
ADSORPTION
ISOTHERMS
360
XII
J
CONTENTS
11.6
FINAL
REMARKS
366
REFERENCES
366
FURTHER
READING
370
12
PHASE
TRANSITIONS:
GENERAL
ASPECTS
371
12.1
SOME
GENERAL
CONSIDERATIONS
371
12.2
THE
CLAPEYRON
AND
CLAPEYRON-CLAUSIUS
EQUATION
375
12.3
THE
MOSSELMAN
SOLUTION
FOR
THE
CLAPEYRON
EQUATION
376
12.4
THE
EHRENFEST-PRIGOGINE-DEFAY
EQUATIONS
378
12.5
LANDAU
AND
LANDAU-LIKE
THEORY
380
REFERENCES
383
FURTHER
READING
384
13
DISCONTINUOUS
PHASE
TRANSITIONS:
LIQUIDS
YY
GASES
385
13.1
THERMODYNAMICS OF
EVAPORATION
385
13.1.1
EVAPORATION
IN
THE
PRESENCE
OF
AN
INERT
GAS
387
13.2
KINETICS
OF
EVAPORATION
388
13.2.1
CLASSICAL
KINETIC
THEORY
388
13.2.2
SECONDARY
EFFECTS
393
13.2.3
OTHER
APPROACHES
394
13.3
THE
REVERSE
TRANSITION:
CONDENSATION
395
13.3.1
DROPS
AND
BUBBLES
395
13.3.2
CLASSICAL
NUCLEATION
THEORY
397
13.3.3
NUCLEATION
KINETICS
399
13.3.4
MODIFICATIONS
401
13.3.5
MOLECULAR
ASPECTS
404
REFERENCES
408
FURTHER
READING
410
14
DISCONTINUOUS
PHASE
TRANSITIONS:
SOLIDS
YY
LIQUIDS
411
14.1
MELTING
OR
FUSION
411
14.2
MECHANICAL
OR
BULK
MELTING
414
14.2.1
VIBRATIONAL
INSTABILITY
414
14.2.2
LATTICE
INSTABILITY
418
14.2.3
VACANCIES
418
14.2.4
INTERSTITIALS
419
14.2.5
DISLOCATIONS
422
14.2.6
INTERSTITIALCIES
424
14.2.7
SIMULATIONS
427
14.3
THERMODYNAMIC
OR
SURFACE-MEDIATED
MELTING
428
14.3.1
MELTING
OF
NANOPARTICLES
428
14.3.2
VACANCIES
REVISITED
430
14.3.3
DISLOCATIONS
REVISITED
432
14.4
POLYMER
MELTING
434
14.5
THE
INFLUENCE
OF
PRESSURE
436
14.6
OTHER
ASPECTS
440
CONTENTS
XIII
14.7
14.8
15
15.1
15.2
15.3
15.4
15.5
16
16.1
16.2
16.3
16.4
16.5
16.6
MELTING
IN
PERSPECTIVE
442
THE
REVERSE
TRANSITION:
FREEZING
OR
SOLIDIFICATION
444
14.8.1
NUCLEATION
AND
GROWTH
444
14.8.2
SOME
FURTHER
REMARKS
446
14.8.3
POLYMERS
AND
METALS
448
14.8.4
WATER
451
REFERENCES
452
FURTHER
READING
457
CONTINUOUS
PHASE
TRANSITIONS:
LIQUIDS
YY
GASES
458
LIMITING
BEHAVIOR
458
MEAN-FIELD
THEORY:
LANDAU
THEORY
461
15.2.1
LANDAU-LIKE
THEORY:
FLUID
TRANSITIONS
463
SCALING
465
15.3.1
HOMOGENEOUS
FUNCTIONS
465
15.3.2
SCALING
POTENTIALS
466
15.3.3
SCALING
LATTICES
467
RENORMALIZATION
469
FINAL
REMARKS
475
REFERENCES
476
FURTHER
READING
476
THE
LIQUID
CRYSTAL
TRANSFORMATION
478
NATURE
AND
TYPES
478
THE
NEMATIC-ISOTROPIC
TRANSFORMATION
480
16.2.1
THE
ORIENTATION
AS
INTERNAL
VARIABLE
480
16.2.2
THE
DISCONTINUOUS
TRANSFORMATION
481
ALTERNATIVE
APPROACHES
482
16.3.1
MAIER-SAUPE
THEORY
483
16.3.2
THE
COIL-HELIX
TRANSFORMATION
485
16.3.3
ONSAGER
THEORY
486
SOME
EXTENSIONS
489
ELASTIC
ENERGY
AND
DEFECTS
491
THE
FR^EDERICKSZ
TRANSFORMATION
494
REFERENCES
496
FURTHER
READING
497
17
17.1
17.2
17.3
17.4
17.5
DIELECTRIC
BEHAVIOR
AND
THE
FERROELECTRIC
TRANSFORMATION
498
PRELIMINARIES
AND
DIELECTRIC
MATERIALS
498
17.1.1
GENERAL
REMARKS
498
17.1.2
DIELECTRIC
MATERIALS
500
ELECTRONIC
POLARIZATION
501
VIBRATIONAL
POLARIZATION
503
17.3.1
THREE
MODELS
507
ORIENTATIONAL
POLARIZATION
510
SPACE-CHARGE
POLARIZATION
511
XIV
CONTENTS
17.6
17.7
FERROELECTRIC
MATERIALS
512
FERROELECTRIC
BEHAVIOR
516
17.7.1
THE
THERMODYNAMIC
APPROACH
516
17.7.2
THE
MICROSCOPIC
APPROACH
518
REFERENCES
521
FURTHER
READING
523
18
18.1
THE
GLASS
TRANSITION
525
WHAT
IS
A
GLASS?
525
18.1.1
GLASSY
MATERIALS
528
18.1.2
PROPERTY
CHANGES
AT
T.
529
18.2
18.3
THE
THERMODYNAMIC
APPROACH
530
THE
STRUCTURAL
APPROACH
535
18.3.1
FREE
VOLUME
THEORY
536
18.3.2
CONTINUOUS
TRANSITION
THEORY
539
18.4
18.5
18.6
18.7
THE
LATTICE
GAS
APPROACH
541
PHONON
THEORY
FOR
GLASSES
543
MODE-COUPLING
THEORY
546
FINAL
REMARKS
549
REFERENCES
550
FURTHER
READING
553
19
19.1
19.2
IRREVERSIBILITY
AND
THE
RETURN
TO
EQUILIBRIUM
555
SOME
CONSIDERATIONS
555
THE
BOLTZMANN
APPROACH
557
19.2.1
TIME
INVARIANCE
558
19.2.2
RECURRENCE
560
19.3
19.4
19.5
19.6
THE
GIBBS
APPROACH
561
THE
FORMAL
APPROACH
563
THE
PHYSICAL
APPROACH
567
THE
INFORMATION
THEORY
APPROACH
571
19.6.1
A
BRIEF
REVIEW
571
19.6.2
HIGH
AND
LOW
PROBABILITY
MANIFOLDS
572
19.7
CLOSURE
578
REFERENCES
580
FURTHER
READING
583
APPENDIX
A
GUIDE
TO
MATHEMATICS
USED
584
A.1
A.2
A.3
A.4
A.5
A.6
A.7
A.8
SYMBOLS
AND
CONVENTIONS
584
DERIVATIVES,
DIFFERENTIALS,
AND
VARIATIONS
584
COMPOSITE,
IMPLICIT,
HOMOGENEOUS,
COMPLEX,
AND
ANALYTIC
FUNCTIONS
586
EXTREMES
AND
LAGRANGE
MULTIPLIERS
588
LEGENDRE
TRANSFORMS
588
COORDINATE
AXES
ROTATIONS
589
CHANGE
OF
VARIABLES
590
CALCULUS
OF
VARIATIONS
591
CONTENTS
XV
A.9
MATRICES
AND
DETERMINANTS
592
A.
10
THE
EIGENVALUE
PROBLEM
594
A.
11
MATRIX
DECOMPOSITIONS
597
A.
12
SCALARS,
VECTORS,
AND
TENSORS
598
A.
13
TENSOR
ANALYSIS
601
A.
14
GAMMA,
DIRAC,
AND
HEAVISIDE
FUNCTIONS
603
A.
15
LAPLACE
AND
FOURIER
TRANSFORMS
604
A.16
SOME
USEFUL
EXPRESSIONS
606
FURTHER
READING
607
APPENDIX
B
ELEMENTS
OF
SPECIAL
RELATIVITY
THEORY
608
B.1
LORENTZ
TRANSFORMATIONS
608
B.2
VELOCITIES,
CONTRACTION,
DILATATION,
AND
PROPER
QUANTITIES
610
B.3
RELATIVISTIC
LAGRANGE
AND
HAMILTON
FUNCTIONS
611
REFERENCES
612
FURTHER
READING
612
APPENDIX
C
THE
LATTICE
GAS
MODEL
613
C.1
THE
LATTICE
GAS
MODEL
613
C.2
THE
ZEROTH
OR
MEAN-FIELD
APPROXIMATION
613
C.3
THE
FIRST
OR
QUASI-CHEMICAL
APPROXIMATION
615
C.4
ATHERMAL
ENTROPY
FOR
CHAIN-LIKE
MOLECULES
619
REFERENCES
621
FURTHER
READING
621
APPENDIX
D
ELEMENTS
OF
ELECTROSTATICS
622
D.1
COULOMB,
GAUSS,
POISSON,
AND
LAPLACE
622
D.2
A
DIELECTRIC
SPHERE
IN
A
DIELECTRIC
MATRIX
624
D.3
A
DIPOLE
IN
A
SPHERICAL
CAVITY
626
FURTHER
READING
627
APPENDIX
E
ELEMENTS
OF
PROBABILITY
AND
STATISTICS
629
E.1
PROBABILITY
629
E.2
SINGLE
VARIABLE
631
E.3
MULTIPLE
VARIABLES
632
E.4
THE
NORMAL
DISTRIBUTION
AND
THE
CENTRAL-LIMIT
THEOREM
633
REFERENCES
635
FURTHER
READING
635
APPENDIX
F
SELECTED
DATA
636
REFERENCES
650
APPENDIX
G
ANSWERS
TO
SELECTED
PROBLEMS
652
INDEX
659
|
| adam_txt |
VII
CONTENTS
PREFACE
XVI
LIST
OF
FREQUENTLY
USED
SYMBOLS
AND
ABBREVIATIONS
XXI
SI
UNITS,
PHYSICAL
CONSTANTS,
AND
CONVERSION
FACTORS
XXVII
SUMMARY
OF
NOTATION
XXXI
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
INTRODUCTION
1
CONSTITUENTS
OF
MATTER
1
MATTER
AND
ENERGY:
INTERACTION
AND
CHANGE
3
MASS
AND
CHARGE
4
MACROSCOPIC
AND
MICROSCOPIC
APPROACHES
6
GASES,
LIQUIDS,
AND
SOLIDS
7
WHAT
TO
EXPECT?
11
UNITS
AND
NOTATION
12
REFERENCES
13
FURTHER
READING
14
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
CLASSICAL
MECHANICS
15
FRAMES,
PARTICLES,
AND
COORDINATES
15
FROM
NEWTON
TO
HAMILTON
1
7
HAMILTON
'
S
PRINCIPLE
AND
LAGRANGE
'
S
EQUATIONS
19
CONSERVATION
LAWS
21
HAMILTON
'
S
EQUATIONS
24
HAMILTON
'
S
PRINCIPLE
FOR
CONTINUOUS
SYSTEMS
26
THE
VIRIAL
THEOREM
27
FINAL
REMARKS
28
REFERENCES
28
FURTHER
READING
29
3
3.1
QUANTUM
MECHANICS
30
QUANTUM
CONCEPTS
30
3.1.1
FUNDAMENTAL
QUANTUM
KINEMATICS
30
3.1.2
OPERATORS
AND
THEIR
REPRESENTATION
33
3.1.3
FUNDAMENTAL
QUANTUM
KINETICS
35
3.2
INTERPRETATION
AND
SOME
EXACT
SOLUTIONS
37
VIII
CONTENTS
3.2.1
THE
PARTICLE
IN A
BOX
39
3.2.2
THE
HARMONIC
OSCILLATOR
40
3.2.3
THE
RIGID
ROTATOR
41
3.2.4
MANY
PARTICLES
42
3.3
APPROXIMATE
QUANTUM
MECHANICS
SOLUTIONS
43
3.3.1
THE
BORN-OPPENHEIMER
APPROXIMATION
43
3.3.2
THE
VARIATION
PRINCIPLE
44
3.3.3
THE
HARTREE-FOCK
METHOD
47
3.3.4
PERTURBATION
THEORY
51
3.3.5
THE
DENSITY
OPERATOR
53
3.4
FINAL
REMARKS
55
REFERENCES
55
FURTHER
READING
56
4
INTERMOLECULAR
INTERACTIONS
57
4.1
THE
SEMI-CLASSICAL
APPROACH
57
4.1.1
ELECTROSTATIC
INTERACTION
59
4.1.2
INDUCTION
INTERACTION
62
4.1.3
DISPERSION
INTERACTION
63
4.1.4
THE
TOTAL
INTERACTION
64
4.2
THE
QUANTUM
APPROACH
66
4.3
MODEL
INTERACTIONS
69
4.4
REFINEMENTS
72
4.4.1
HYDROGEN
BONDING
72
4.4.2
THREE-BODY
INTERACTIONS
74
4.4.3
ACCURATE
EMPIRICAL
POTENTIALS
74
4.5
FINAL
REMARKS
75
REFERENCES
76
FURTHER
READING
77
5
CONTINUUM
MECHANICS
78
5.1
THE
NATURE OF
THE
CONTINUUM
78
5.2
KINEMATICS
79
5.2.1
MATERIAL
AND
SPATIAL
COORDINATES
79
5.2.2
GENERAL
DEFORMATIONS
80
5.2.3
THE
SMALL
DISPLACEMENT
GRADIENT
APPROXIMATION
81
5.3
BALANCE
EQUATIONS
83
5A
KINETICS
85
5.4.1
THE
PRINCIPLE
OF
VIRTUAL
POWER
86
5.4.2
LINEAR
MOMENTUM
86
5.4.3
ANGULAR
MOMENTUM
88
5.4.4
CAUCHY
'
S
EQUATIONS
OF
MOTION
88
5.5
THE
STRESS
TENSOR
89
5.6
MECHANICAL
ENERGY
90
5.7
FINAL
REMARKS
91
REFERENCES
92
FURTHER
READING
92
CONTENTS
|
IX
6
MACROSCOPIC
THERMODYNAMICS
93
6.1
CLASSICAL
THERMODYNAMICS
93
6.1.1
THE
FOUR
LAWS
93
6.1.2
QUASI-CONSERVATIVE
AND
DISSIPATIVE
FORCES
99
6.1.3
EQUATIONS
OF
STATE
100
6.1.4
MECHANICAL
AND
THERMAL
EQUILIBRIUM
101
6.1.5
AUXILIARY
FUNCTIONS
101
6.1.6
SOME
DERIVATIVES
AND
THEIR
RELATIONSHIPS
103
6.1.7
CHEMICAL
CONTENT
103
6.1.8
CHEMICAL
EQUILIBRIUM
106
6.2
THE
LOCAL
STATE
AND
INTERNAL
VARIABLES
110
6.2.1
THE
BEHAVIOR
OF
INTERNAL
VARIABLES
111
6.2.2
THE
LOCAL
STATE
113
6.3
FIELD
FORMULATION
115
6.3.1
THE
FIRST
LAW
115
6.3.2
THE
SECOND
LAW
116
6.4
THE
LINEAR
APPROXIMATION
IN
NON-EQUILIBRIUM
THERMODYNAMICS
118
6.5
FINAL
REMARKS
122
REFERENCES
122
FURTHER
READING
123
7
MICROSCOPIC
THERMODYNAMICS
125
7.1
BASICS
OF
STATISTICAL
THERMODYNAMICS
125
7.1.1
PRELIMINARIES
125
7.1.2
ENTROPY
AND
PARTITION
FUNCTIONS
128
7.1.3
FLUCTUATIONS
132
7.2
NONINTERACTING
PARTICLES
134
7.2.1
SINGLE
PARTICLE
134
7.2.2
MANY
PARTICLES
134
7.2.3
PRESSURE
AND
ENERGY
135
7.3
THE
SEMI-CLASSICAL
APPROXIMATION
136
7.4
INTERACTING
PARTICLES
141
7.5
INTERNAL
CONTRIBUTIONS
142
7.5.1
VIBRATIONS
142
7.5.2
ROTATIONS
145
7.5.3
ELECTRONIC
TRANSITIONS
147
7.6
SOME
GENERAL
ASPECTS
148
7.6.1
MODE
OR
AVERAGE?
148
7.6.2
FLUCTUATIONS
AND
OTHER
ENSEMBLES
149
7.6.3
EQUIPARTITION OF
ENERGY
150
7.6.4
THE
GIBBS-BOGOLIUBOV
INEQUALITY
151
REFERENCES
152
FURTHER
READING
154
8
GASES
155
8.1
BASIC
KINETIC
THEORY
OF
GASES
155
X
I
CONTENTS
8.2
THE
VIRIAL
EXPANSION
159
8.2.1
SOME
FURTHER
REMARKS
162
8.3
EQUATIONS OF
STATE
164
8.4
THE
PRINCIPLE
OF
CORRESPONDING
STATES
168
8.4.1
THE
EXTENDED
PRINCIPLE
171
8.5
TRANSITION
STATE
THEORY
174
8.5.1
CHEMICAL
KINETICS
BASICS
174
8.5.2
THE
EQUILIBRIUM
CONSTANT
175
8.5.3
POTENTIAL
ENERGY
SURFACES
176
8.5.4
THE
ACTIVATED
COMPLEX
177
8.5.5
THE
LINK
TO
EXPERIMENT
179
8.6
DIELECTRIC
BEHAVIOR
180
8.6.1
BASIC
ASPECTS
180
8.6.2
THE
DEBYE-LANGEVIN
EQUATION
182
8.6.3
FREQUENCY
DEPENDENCE
185
8.6.4
ESTIMATING
U
AND
A
190
REFERENCES
193
FURTHER
READING
196
9
LIQUIDS
197
9.1
APPROACHES
TO
LIQUIDS
197
9.2
DISTRIBUTION
FUNCTIONS,
STRUCTURE,
AND
ENERGETICS
198
9.2.1
STRUCTURE
200
9.2.2
ENERGETICS
203
9.3
THE
INTEGRAL
EQUATION
APPROACH
206
9.3.1
THE
ORNSTEIN-ZERNIKE
EQUATION
206
9.3.2
THE
YVON-BORN-GREEN
EQUATION
209
9.3.3
OTHER
INTEGRAL
EQUATIONS
210
9.3.4
THE
POTENTIAL
OF
MEAN
FORCE
212
9.4
COMPARISON:
HARD-SPHERE
AND
LENNARD-JONES
RESULTS
214
9.5
SCALED-PARTICLE
THEORY
217
9.6
STRUCTURAL
MODELS
218
9.6.1
CELL
MODELS
220
9.6.2
HOLE
MODELS
226
9.6.3
SOME
OTHER
IMPLEMENTATIONS
OF
HOLE
THEORY
231
9.7
THE
GENERALIZED
VAN
DER
WAALS
MODEL
237
9.8
PHONON
THEORY
OF
LIQUIDS
240
9.9
THE
QUANTUM
CLUSTER
EQUILIBRIUM
MODEL
244
9.10
SOME
CONTINUUM
ASPECTS
245
9.11
DIELECTRIC
BEHAVIOR
249
REFERENCES
255
FURTHER
READING
259
10
SOLIDS
260
10.1
INORGANICS
AND
METALS
260
10.2
POLYMERS
263
CONTENTS
XI
10.3
LATTICE
CONCEPTS
265
10.4
CRYSTALLINE
STRUCTURES
267
10.5
BONDING:
THE
QUANTUM-MECHANICAL
APPROACH
270
10.5.1
THE
NEARLY
FREE
ELECTRON
APPROXIMATION
270
10.5.2
THE
TIGHT
BINDING
APPROXIMATION
275
10.5.3
DENSITY
FUNCTIONAL
THEORY
278
10.6
BONDING:
THE
EMPIRICAL
APPROACH
282
10.6.1
ATOMS,
IONS,
AND
ELECTRONEGATIVITY
282
10.6.2
COVALENT
AND
MOLECULAR
CRYSTALS
286
10.6.3
IONIC
CRYSTALS:
THE
CLASSICAL
APPROACH
287
10.6.4
IONIC
CRYSTALS:
ELECTRONEGATIVITY
APPROACHES
290
10.6.5
METALLIC
CRYSTALS
294
10.7
LATTICE
DYNAMICS
296
10.8
TWO
SIMPLE
MODELS
299
10.9
PROPERTIES
300
10.9.1
HEAT
CAPACITY
300
10.9.2
THERMAL
EXPANSIVITY
302
10.9.3
BULK
MODULUS
303
10.10.3
OTHER
DEFECTS
310
10.10
DEFECTS
304
10.10.1
ZERO-DIMENSIONAL
DEFECTS
305
10.10.2
ONE-DIMENSIONAL
DEFECTS
308
10.11
THERMO-ELASTICITY
312
10.11.1
ELASTIC
BEHAVIOR
312
10.11.2
STRESS
STATES
AND
THE
ASSOCIATED
ELASTIC
CONSTANTS
313
10.11.3
ELASTIC
ENERGY
314
10.11.4
A
MATTER
OF
NOTATION
315
10.11.5
ANISOTROPIC
MATERIALS
316
10.11.6
THE
EFFECT
OF
TEMPERATURE
319
10.12
FINAL
REMARKS
320
REFERENCES
320
FURTHER
READING
325
11
INTERFACES
326
11.1
THERMODYNAMICS OF
INTERFACES
326
11.2
ONE-COMPONENT
SURFACES:
SEMIEMPIRICAL
CONSIDERATIONS
331
11.3
ONE-COMPONENT
SURFACES:
THEORETICAL
CONSIDERATIONS
336
11.3.1
DENSITY
FUNCTIONAL
THEORY
336
11.3.2
CAPILLARY
WAVE
THEORY
341
11.4
SOLID
SURFACE
STRUCTURE
343
11.4.1
SURFACE
ROUGHENING
345
11.5
ADSORPTION
AT
INTERFACES
349
11.5.1
SOLUTIONS
349
11.5.2
THERMODYNAMICS
OF
ADSORPTION
355
11.5.3
STATISTICS
OF
ADSORPTION
357
11.5.4
ADSORPTION
ISOTHERMS
360
XII
J
CONTENTS
11.6
FINAL
REMARKS
366
REFERENCES
366
FURTHER
READING
370
12
PHASE
TRANSITIONS:
GENERAL
ASPECTS
371
12.1
SOME
GENERAL
CONSIDERATIONS
371
12.2
THE
CLAPEYRON
AND
CLAPEYRON-CLAUSIUS
EQUATION
375
12.3
THE
MOSSELMAN
SOLUTION
FOR
THE
CLAPEYRON
EQUATION
376
12.4
THE
EHRENFEST-PRIGOGINE-DEFAY
EQUATIONS
378
12.5
LANDAU
AND
LANDAU-LIKE
THEORY
380
REFERENCES
383
FURTHER
READING
384
13
DISCONTINUOUS
PHASE
TRANSITIONS:
LIQUIDS
YY
GASES
385
13.1
THERMODYNAMICS OF
EVAPORATION
385
13.1.1
EVAPORATION
IN
THE
PRESENCE
OF
AN
INERT
GAS
387
13.2
KINETICS
OF
EVAPORATION
388
13.2.1
CLASSICAL
KINETIC
THEORY
388
13.2.2
SECONDARY
EFFECTS
393
13.2.3
OTHER
APPROACHES
394
13.3
THE
REVERSE
TRANSITION:
CONDENSATION
395
13.3.1
DROPS
AND
BUBBLES
395
13.3.2
CLASSICAL
NUCLEATION
THEORY
397
13.3.3
NUCLEATION
KINETICS
399
13.3.4
MODIFICATIONS
401
13.3.5
MOLECULAR
ASPECTS
404
REFERENCES
408
FURTHER
READING
410
14
DISCONTINUOUS
PHASE
TRANSITIONS:
SOLIDS
YY
LIQUIDS
411
14.1
MELTING
OR
FUSION
411
14.2
MECHANICAL
OR
BULK
MELTING
414
14.2.1
VIBRATIONAL
INSTABILITY
414
14.2.2
LATTICE
INSTABILITY
418
14.2.3
VACANCIES
418
14.2.4
INTERSTITIALS
419
14.2.5
DISLOCATIONS
422
14.2.6
INTERSTITIALCIES
424
14.2.7
SIMULATIONS
427
14.3
THERMODYNAMIC
OR
SURFACE-MEDIATED
MELTING
428
14.3.1
MELTING
OF
NANOPARTICLES
428
14.3.2
VACANCIES
REVISITED
430
14.3.3
DISLOCATIONS
REVISITED
432
14.4
POLYMER
MELTING
434
14.5
THE
INFLUENCE
OF
PRESSURE
436
14.6
OTHER
ASPECTS
440
CONTENTS
XIII
14.7
14.8
15
15.1
15.2
15.3
15.4
15.5
16
16.1
16.2
16.3
16.4
16.5
16.6
MELTING
IN
PERSPECTIVE
442
THE
REVERSE
TRANSITION:
FREEZING
OR
SOLIDIFICATION
444
14.8.1
NUCLEATION
AND
GROWTH
444
14.8.2
SOME
FURTHER
REMARKS
446
14.8.3
POLYMERS
AND
METALS
448
14.8.4
WATER
451
REFERENCES
452
FURTHER
READING
457
CONTINUOUS
PHASE
TRANSITIONS:
LIQUIDS
YY
GASES
458
LIMITING
BEHAVIOR
458
MEAN-FIELD
THEORY:
LANDAU
THEORY
461
15.2.1
LANDAU-LIKE
THEORY:
FLUID
TRANSITIONS
463
SCALING
465
15.3.1
HOMOGENEOUS
FUNCTIONS
465
15.3.2
SCALING
POTENTIALS
466
15.3.3
SCALING
LATTICES
467
RENORMALIZATION
469
FINAL
REMARKS
475
REFERENCES
476
FURTHER
READING
476
THE
LIQUID
CRYSTAL
TRANSFORMATION
478
NATURE
AND
TYPES
478
THE
NEMATIC-ISOTROPIC
TRANSFORMATION
480
16.2.1
THE
ORIENTATION
AS
INTERNAL
VARIABLE
480
16.2.2
THE
DISCONTINUOUS
TRANSFORMATION
481
ALTERNATIVE
APPROACHES
482
16.3.1
MAIER-SAUPE
THEORY
483
16.3.2
THE
COIL-HELIX
TRANSFORMATION
485
16.3.3
ONSAGER
THEORY
486
SOME
EXTENSIONS
489
ELASTIC
ENERGY
AND
DEFECTS
491
THE
FR^EDERICKSZ
TRANSFORMATION
494
REFERENCES
496
FURTHER
READING
497
17
17.1
17.2
17.3
17.4
17.5
DIELECTRIC
BEHAVIOR
AND
THE
FERROELECTRIC
TRANSFORMATION
498
PRELIMINARIES
AND
DIELECTRIC
MATERIALS
498
17.1.1
GENERAL
REMARKS
498
17.1.2
DIELECTRIC
MATERIALS
500
ELECTRONIC
POLARIZATION
501
VIBRATIONAL
POLARIZATION
503
17.3.1
THREE
MODELS
507
ORIENTATIONAL
POLARIZATION
510
SPACE-CHARGE
POLARIZATION
511
XIV
CONTENTS
17.6
17.7
FERROELECTRIC
MATERIALS
512
FERROELECTRIC
BEHAVIOR
516
17.7.1
THE
THERMODYNAMIC
APPROACH
516
17.7.2
THE
MICROSCOPIC
APPROACH
518
REFERENCES
521
FURTHER
READING
523
18
18.1
THE
GLASS
TRANSITION
525
WHAT
IS
A
GLASS?
525
18.1.1
GLASSY
MATERIALS
528
18.1.2
PROPERTY
CHANGES
AT
T.
529
18.2
18.3
THE
THERMODYNAMIC
APPROACH
530
THE
STRUCTURAL
APPROACH
535
18.3.1
FREE
VOLUME
THEORY
536
18.3.2
CONTINUOUS
TRANSITION
THEORY
539
18.4
18.5
18.6
18.7
THE
LATTICE
GAS
APPROACH
541
PHONON
THEORY
FOR
GLASSES
543
MODE-COUPLING
THEORY
546
FINAL
REMARKS
549
REFERENCES
550
FURTHER
READING
553
19
19.1
19.2
IRREVERSIBILITY
AND
THE
RETURN
TO
EQUILIBRIUM
555
SOME
CONSIDERATIONS
555
THE
BOLTZMANN
APPROACH
557
19.2.1
TIME
INVARIANCE
558
19.2.2
RECURRENCE
560
19.3
19.4
19.5
19.6
THE
GIBBS
APPROACH
561
THE
FORMAL
APPROACH
563
THE
PHYSICAL
APPROACH
567
THE
INFORMATION
THEORY
APPROACH
571
19.6.1
A
BRIEF
REVIEW
571
19.6.2
HIGH
AND
LOW
PROBABILITY
MANIFOLDS
572
19.7
CLOSURE
578
REFERENCES
580
FURTHER
READING
583
APPENDIX
A
GUIDE
TO
MATHEMATICS
USED
584
A.1
A.2
A.3
A.4
A.5
A.6
A.7
A.8
SYMBOLS
AND
CONVENTIONS
584
DERIVATIVES,
DIFFERENTIALS,
AND
VARIATIONS
584
COMPOSITE,
IMPLICIT,
HOMOGENEOUS,
COMPLEX,
AND
ANALYTIC
FUNCTIONS
586
EXTREMES
AND
LAGRANGE
MULTIPLIERS
588
LEGENDRE
TRANSFORMS
588
COORDINATE
AXES
ROTATIONS
589
CHANGE
OF
VARIABLES
590
CALCULUS
OF
VARIATIONS
591
CONTENTS
XV
A.9
MATRICES
AND
DETERMINANTS
592
A.
10
THE
EIGENVALUE
PROBLEM
594
A.
11
MATRIX
DECOMPOSITIONS
597
A.
12
SCALARS,
VECTORS,
AND
TENSORS
598
A.
13
TENSOR
ANALYSIS
601
A.
14
GAMMA,
DIRAC,
AND
HEAVISIDE
FUNCTIONS
603
A.
15
LAPLACE
AND
FOURIER
TRANSFORMS
604
A.16
SOME
USEFUL
EXPRESSIONS
606
FURTHER
READING
607
APPENDIX
B
ELEMENTS
OF
SPECIAL
RELATIVITY
THEORY
608
B.1
LORENTZ
TRANSFORMATIONS
608
B.2
VELOCITIES,
CONTRACTION,
DILATATION,
AND
PROPER
QUANTITIES
610
B.3
RELATIVISTIC
LAGRANGE
AND
HAMILTON
FUNCTIONS
611
REFERENCES
612
FURTHER
READING
612
APPENDIX
C
THE
LATTICE
GAS
MODEL
613
C.1
THE
LATTICE
GAS
MODEL
613
C.2
THE
ZEROTH
OR
MEAN-FIELD
APPROXIMATION
613
C.3
THE
FIRST
OR
QUASI-CHEMICAL
APPROXIMATION
615
C.4
ATHERMAL
ENTROPY
FOR
CHAIN-LIKE
MOLECULES
619
REFERENCES
621
FURTHER
READING
621
APPENDIX
D
ELEMENTS
OF
ELECTROSTATICS
622
D.1
COULOMB,
GAUSS,
POISSON,
AND
LAPLACE
622
D.2
A
DIELECTRIC
SPHERE
IN
A
DIELECTRIC
MATRIX
624
D.3
A
DIPOLE
IN
A
SPHERICAL
CAVITY
626
FURTHER
READING
627
APPENDIX
E
ELEMENTS
OF
PROBABILITY
AND
STATISTICS
629
E.1
PROBABILITY
629
E.2
SINGLE
VARIABLE
631
E.3
MULTIPLE
VARIABLES
632
E.4
THE
NORMAL
DISTRIBUTION
AND
THE
CENTRAL-LIMIT
THEOREM
633
REFERENCES
635
FURTHER
READING
635
APPENDIX
F
SELECTED
DATA
636
REFERENCES
650
APPENDIX
G
ANSWERS
TO
SELECTED
PROBLEMS
652
INDEX
659 |
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| author | With, Gijsbertus de |
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| ctrlnum | (OCoLC)1415290768 (DE-599)DNB1288412177 |
| discipline | Physik |
| discipline_str_mv | Physik |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV049413698 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:06:37Z |
| indexdate | 2024-07-10T10:06:26Z |
| institution | BVB |
| institution_GND | (DE-588)16179388-5 |
| isbn | 9783527350315 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034740703 |
| oclc_num | 1415290768 |
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| owner | DE-29T DE-703 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-29T DE-703 DE-11 DE-19 DE-BY-UBM |
| physical | xxxi, 672 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | With, Gijsbertus de Verfasser (DE-588)130930962 aut Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists Gijsbertus de With Weinheim Wiley-VCH [2024] xxxi, 672 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf CH92: Festkörperchemie Chemie Chemistry Festkörperchemie Festkörperphysik MSD0: Materialeigenschaften Materialeigenschaften Materials Science Materialwissenschaften PH60: Festkörperphysik Physics Physik Properties of Materials Solid State Chemistry Solid State Physics (DE-588)4123623-3 Lehrbuch gnd-content Phasenumwandlung (DE-588)4132140-6 s DE-604 Wiley-VCH (DE-588)16179388-5 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-527-83693-2 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-83692-5 X:MVB http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-35031-5/ DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034740703&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20230506 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | With, Gijsbertus de Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists Phasenumwandlung (DE-588)4132140-6 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4123623-3 |
| title | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists |
| title_auth | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists |
| title_exact_search | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists |
| title_exact_search_txtP | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists |
| title_full | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists Gijsbertus de With |
| title_fullStr | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists Gijsbertus de With |
| title_full_unstemmed | Phases of matter and their transitions concepts and principles for chemists, physicists, engineers, and materials scientists Gijsbertus de With |
| title_short | Phases of matter and their transitions |
| title_sort | phases of matter and their transitions concepts and principles for chemists physicists engineers and materials scientists |
| title_sub | concepts and principles for chemists, physicists, engineers, and materials scientists |
| topic | Phasenumwandlung (DE-588)4132140-6 gnd |
| topic_facet | Phasenumwandlung Lehrbuch |
| url | http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-35031-5/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034740703&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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