Phase transitions in materials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2014
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XXIV, 563 S. |
| ISBN: | 1107067243 9781107067240 |
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Datensatz im Suchindex
| _version_ | 1804152496331948032 |
|---|---|
| adam_text | Contents
Preface
page
xiii
Acknowledgments
xvii
Notation
xix
Part I Basic thermodynamics and kinetics of phase transformations l
1
Introduction
3
1.1
What is a phase transition?
3
1.2
Atoms and materials
4
1.3
Pure elements
6
1.4
Alloys: unmixing and ordering
9
1.5
Transitions and transformations
11
1.6
Brief review of thermodynamics and kinetics
14
Problems
18
2
Essentials of
7-е
phase diagrams
20
2.1
Overview of the approach
20
2.2
Intuition and expectations about alloy thermodynamics
22
2.3
Free energy curves, solute conservation, and the lever rule
26
2.4
Common tangent construction
28
2.5
Continuous solid solubility phase diagram
30
2.6
Solid solutions
31
2.7
Unmixing phase diagrams
37
2.8
Eutectic and peritectic phase diagrams
39
2.9
Ternary phase diagrams
42
2.10
Long-range order in the point approximation
44
2.11
Alloy phase diagrams
48
Problems
49
3
Diffusion
52
3.1
The diffusion equation
52
3.2
Gaussian and error function solutions to the ID diffusion
equation
56
3.3
Fourier series solutions to the diffusion equation
61
3.4
Bessel functions and other special function solutions to the
diffusion equation
66
viii Contents
3.5
Kinetic master equation and equilibrium
69
3.6
Linear kinetic response
71
Problems
72
4
Nudeation
74
4.1
Terminology and issues
75
4.2
Critical nucleus
76
4.3
Heterogeneous nucleation
79
4.4
Free energy curves and elastic energy
81
4.5
The nucleation rate
85
4.6
Time-dependent nucleation
92
Problems
94
5
Effects of diffusion and nucleation on phase transformations
96
5.1
Nonequilibrium processing of materials
96
5.2
Alloy solidification with solute partitioning
99
5.3
Alloy solidification: suppressed diffusion in the solid phase
100
5.4
Alloy solidification: suppressed diffusion in the solid and liquid
105
5.5
Practical issues for alloy solidification and evaporation
106
5.6
Heat flow and kinetics
109
5.7
Nucleation kinetics 111
5.8
Glass formation
112
5.9
Solid-state amorphization and suppressed diffusion in a solid phase
114
5.10
Reactions at surfaces
115
5.11
The glass transition
120
Problems
121
Part II The atomic origins of thermodynamics and kinetics 1
25
6
Energy
127
6.1
Molecular orbital theory of diatomic molecules
127
6.2
Electronic energy bands in solids
134
6.3
Elastic constants and the interatomic potential
145
6.4
Linear elasticity
149
6.5
Misfitting particle
153
6.6
Surface energy
158
Problems
161
7
Entropy
163
7.1
Static and dynamic sources of entropy
163
7.2
Short-range order and the pair approximation
165
7.3
Local atomic structures described by clusters
168
7.4
Thermodynamics with cluster approximations
170
7.5
Concept of vibrational entropy
172
ix Contents
7.6 Phonon
statistics
175
7.7
Lattice dynamics and vibrational entropy
176
7.8
Bond proportion model
179
7.9
Bond-stiffness-versus-bond-length model
187
Problems
190
8
Pressure
194
8.1
Materials under pressure at low temperatures
194
8.2
Thermal pressure, a step beyond the harmonic model
199
8.3
Free energies and phase boundaries under pressure
200
8.4
Chemical bonding and antibonding under pressure
202
8.5
Two-level system under pressure
205
8.6
Activation volume
208
Problems
209
9
Atom movements with the vacancy mechanism
211
9.1
Random walk and correlations
211
9.2
Phenomena in alloy diffusion
220
9.3
Diffusion in a potential gradient
227
9.4
Nonthermodynamic equilibrium in driven systems
232
9.5
Vineyard s theory of diffusion
235
Problems
240
Partili
Types of phase transformations
245
10
Melting
247
10.1
Free energy and latent heat
247
10.2
Chemical trends of melting
248
10.3
Free energy of a solid
250
10.4
Entropy of a liquid
257
10.5
Thermodynamic condition for Tm
259
10.6
Glass transition
261
10.7
Two dimensions
264
Problems
266
11
Transformations involving precipitates and interfaces
268
11.1
Guinier—Preston zones
268
11.2
Surface structure and thermodynamics
270
11.3
Surface structure and kinetics
276
11.4
Chemical energy of a precipitate interface
278
11.5
Elastic energy and shape of growing precipitates
280
11.6
Precipitation at grain boundaries and defects
282
11.7
The eutectoid reaction and ferrous metallurgy
285
11.8
The Kolmogorov-Johnson-Mehl-
Avrami
growth equation
291
Contents
11.9
Coarsening
293
Problems 296
12 Spinodal
decomposition
298
12.1
Concentration fluctuations and the free energy of solution
298
12.2
Adding a square gradient term to the free energy
F(č)
300
12.3
Constrained minimization of the free energy
304
12.4
The diffusion equation
309
12.5
Effects of elastic energy
311
Problems
313
13
Phase field theory
315
13.1
Spatial distribution of phases and interfaces
315
13.2
Solidification
318
13.3
Ginzburg—Landau equation and order parameter
319
13.4
Interfaces between domains
322
Problems
330
14
Method of concentration waves and chemical ordering
332
14.1
Structure in real space and reciprocal space
332
14.2
Symmetry and the star
338
14.3
The free energy in fc-space with concentration waves
341
14.4
Symmetry
invariance
of free energy and Landau—Lifshitz rule for
second-order phase transitions
344
14.5
Thermodynamics of ordering in the mean field approximation with
long-range interactions
349
Problems
353
15
Diffusionless transformations
355
15.1
Dislocations and mechanisms
356
15.2
Twinning
360
15.3
Martensite
362
15.4
The crystallographic theory of martensite
368
15.5
Landau theory of displacive phase transitions
370
15.6
First-order Landau theory
374
15.7
Crystal instabilities and phonons
377
Problems
381
16
Thermodynamics of nanomaterials
383
16.1
Grain boundary structure
384
16.2
Grain boundary energy
386
16.3
Gibbs-Thomson effect
387
16.4
Energies of free electrons confined to nanostructures
390
16.5
Configurational entropy of nanomaterials
392
xi Contents
16.6 Vibrational
entropy
394
16.7 Gas
adsorption
397
16.8
Characteristics of magnetic nanoparticles
399
16.9
Elastic energy of anisotropic
microstructures
401
Problems
402
17
Magnetic and electronic phase transitions
404
17.1
Overview of magnetic and electronic phase transitions
405
17.2
Exchange interactions
410
17.3
Correlated electrons
414
17.4
Thermodynamics of
f
erromagnetism
417
17.5
Spin waves
420
17.6
Thermodynamics of antiferromagnetism
423
17.7
Ferroelectric transition
426
17.8
Domains
428
Problems
430
18
Phase transitions in quantum materials
432
18.1
Bose-Einstein condensation
432
18.2
Superfluidity
435
18.3
Condensate wavefunction
437
18.4
Superconductivity
440
18.5
Quantum critical behavior
448
Problems
452
Part IV Advanced topics
453
19
Low-temperature analysis of phase boundaries
455
19.1
Ground-state analysis
f
or
Τ
= 0 456
19.2
Richards, Allen, Cahn ground-state maps
457
19.3
Low but finite temperatures
458
19.4
Analysis of equiatomic bcc alloys
463
19.5
High-temperature expansion of the partition function
465
Problems
466
20
Cooperative behavior near a critical temperature
468
20.1
Critical exponents
468
20.2
Critical slowing down
469
20.3
The Rushbrooke inequality
471
20.4
Scaling theory
472
20.5
Scaling and decimation
474
20.6
Partition function for one-dimensional chain
475
20.7
Partition function for two-dimensional lattice
479
Problems
482
xii Contents
21
Elastic
energy of
solid
precipitates
483
21.1
Transformation strains and elastic energy
483
21.2
Real space approach
485
21.3
A-space approach
488
Problems
491
22
Statistical kinetics of ordering transformations
492
22.1
Ordering transformations with vacancies
493
22.2
B2 ordering with vacancies in the point approximation
495
22.3
Vacancy ordering
499
22.4
Kinetic paths
500
Problems
506
23
Diffusion, dissipation, and inelastic scattering
508
23.1
Atomic processes and diffusion
508
23.2
Dissipation and fluctuations
512
23.3
Inelastic scattering
515
23.4
Phonons and quantum mechanics
518
Problems
521
24
Vibrational thermodynamics of materials at high temperatures
522
24.1
Lattice dynamics
522
24.2
Harmonic thermodynamics
527
24.3
Quasiharmonic thermodynamics
528
24.4
Thermal effects beyond quasiharmonic theory
531
24.5
Anharmonicity and phonon—phonon interactions
532
24.6
Electron—phonon interactions and temperature
536
Problems
538
Further reading
540
References
545
Index
554
Offering a fresh viewpoint on phase changes and the thermodynamics of
materials, this textbook covers the thermodynamics and kinetics of the most
important phase transitions in materials science, spanning classical metallurgy
through to nanoscience and quantum phase transitions.
Clear, concise, and complete explanations rigorously address transitions from
the atomic scale up, providing the quantitative concepts, analytical tools, and
methods needed to understand modern research in materials science. Topics
are grouped according to complexity, ensuring that students have a solid
grounding in core topics before they begin to tackle more advanced material,
and are accompanied by numerous end-of-chapter problems.
With explanations firmly rooted in the context of modern advances in
electronic structure and statistical mechanics, and developed from classroom
teaching, this book is the ideal companion for graduate students and
researchers in materials science, condensed matter physics, solid state science,
and physical chemistry.
Brent Fultz is the Barbara and Stanley R. Rawn, Jr.,Professor of Materials
Science and Applied Physics at the California Institute of Technology. He
has been awarded a Presidential Young Investigator Award, the EMPMD
Distinguished Scientist Award
(2010),
and has led large projects such as the
state-of-the-art neutron scattering instrument, ARCS, and data analysis for
neutron scattering experiments,
DANSE.
|
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| discipline | Physik Werkstoffwissenschaften Werkstoffwissenschaften / Fertigungstechnik |
| edition | 1. publ. |
| format | Book |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Fultz, Brent 1955- Verfasser (DE-588)122354796 aut Phase transitions in materials Brent Fultz 1. publ. Cambridge Cambridge Univ. Press 2014 XXIV, 563 S. txt rdacontent n rdamedia nc rdacarrier Festkörper (DE-588)4016918-2 gnd rswk-swf Werkstoff (DE-588)4065579-9 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Phasenumwandlung (DE-588)4132140-6 s Festkörper (DE-588)4016918-2 s DE-604 Werkstoff (DE-588)4065579-9 s Thermodynamik (DE-588)4059827-5 s Statistische Mechanik (DE-588)4056999-8 s Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027499812&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027499812&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Fultz, Brent 1955- Phase transitions in materials Festkörper (DE-588)4016918-2 gnd Werkstoff (DE-588)4065579-9 gnd Phasenumwandlung (DE-588)4132140-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4016918-2 (DE-588)4065579-9 (DE-588)4132140-6 (DE-588)4056999-8 (DE-588)4059827-5 (DE-588)4123623-3 |
| title | Phase transitions in materials |
| title_auth | Phase transitions in materials |
| title_exact_search | Phase transitions in materials |
| title_full | Phase transitions in materials Brent Fultz |
| title_fullStr | Phase transitions in materials Brent Fultz |
| title_full_unstemmed | Phase transitions in materials Brent Fultz |
| title_short | Phase transitions in materials |
| title_sort | phase transitions in materials |
| topic | Festkörper (DE-588)4016918-2 gnd Werkstoff (DE-588)4065579-9 gnd Phasenumwandlung (DE-588)4132140-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Festkörper Werkstoff Phasenumwandlung Statistische Mechanik Thermodynamik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027499812&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027499812&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fultzbrent phasetransitionsinmaterials |