The atomistic nature of crystal growth:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2001
|
| Schriftenreihe: | Springer series in materials science
43 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 368 S. Ill., graph. Darst. |
| ISBN: | 3540664963 |
Internformat
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| 245 | 1 | 0 | |a The atomistic nature of crystal growth |c Boyan Mutaftschiev |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2001 | |
| 300 | |a XIII, 368 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Springer series in materials science |v 43 | |
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Datensatz im Suchindex
| _version_ | 1804128262224347136 |
|---|---|
| adam_text | CONTENTS PART I INTRODUCTION AND BACKGROUND 1. INTRODUCTION
.............................................. 3 2. THERMODYNAMICS
......................................... 7 2.1 SOME DEFINITIONS
....................................... 7 2.2 THE PRINCIPLES OF
THERMODYNAMICS ....................... 8 2.3 INTERNAL ENERGY
........................................ 9 2.4 OTHER THERMODYNAMIC
FUNCTIONS; MAXWELL*S RELATIONS ...... 10 2.5 WORK AND EQUILIBRIUM
.................................. 13 2.6 INTEGRATED EQUATIONS
.................................... 16 2.7 CHEMICAL POTENTIALS AND
SUPERSATURATION .................. 17 2.7.1 SUPERSATURATED VAPOR (IDEAL
GAS) .................. 18 2.7.2 SUPERSATURATED SOLUTION
........................... 18 2.7.3 UNDERCOOLED CONDENSED PHASE
..................... 19 2.8 THE *SURFACE PHASE*
.................................... 19 3. STATISTICAL THERMODYNAMICS
.............................. 23 3.1 PARTITION FUNCTIONS; GENERAL
............................. 23 3.2 PARTITION FUNCTION IN A CONTINUUM
PHASE SPACE ............ 24 3.3 EXAMPLES OF SIMPLE PARTITION FUNCTIONS
................... 26 3.3.1 TRANSLATIONAL MOTION
............................. 26 3.3.2 HARMONIC OSCILLATOR
.............................. 26 3.3.3 FREE ROTATION
.................................... 30 3.4 CANONICAL PARTITION
FUNCTIONS OF PURE PHASES; FREE ENERGY AND CHEMICAL POTENTIAL
...................... 32 3.4.1 THE IDEAL GAS
................................... 32 3.4.2 THE *LATTICE GAS*
................................ 32 3.4.3 THE MONATOMIC EINSTEIN CRYSTAL
................... 33 3.4.4 THE ONE-DIMENSIONAL NON-EINSTEIN CRYSTAL
.......... 34 3.5 PARTITION FUNCTION OF ASSOCIATED VAPOR
.................... 38 X CONTENTS PART II EQUILIBRIA 4. EQUILIBRIUM
BETWEEN LARGE PHASES; THE VAPOR PRESSURE OF SOLIDS
............................. 43 4.1 THE CLAUSIUS*CLAPEYRON EQUATION
........................ 43 4.2 STATISTICAL-THERMODYNAMIC TREATMENT
.................... 45 4.3 REPETITIVE-STEP; THERMODYNAMIC FREQUENCY
............... 45 4.4 KINETIC TREATMENT OF THE EQUILIBRIUM
CRYSTAL-VAPOR ........ 49 4.5 EQUILIBRIUM IN THE DIFFERENT SITES ON THE
CRYSTAL SURFACE .... 51 4.6 ADSORBED AND INCORPORATED MOLECULES; THE
DIFFERENT TYPES OF CRYSTAL FACE ....................... 55 5. THE
SURFACE TENSION OF CRYSTALS .......................... 61 5.1 THE
BROKEN-BOND APPROACH TO THE SURFACE ENERGY OF A SOLID: THE BORN*STERN
PROCEDURE ............................... 61 5.2 SURFACE STRESS
.......................................... 65 5.3 INTERFACIAL TENSION
...................................... 67 5.4 STEFAN*S RULE
.......................................... 70 6. EQUILIBRIUM BETWEEN
LARGE THREE- AND TWO-DIMENSIONAL PHASES: ADSORPTION PHENOMENA .... 73
6.1 PARTITION FUNCTION AND CHEMICAL POTENTIAL OF AN ADSORBED LAYER
................................... 73 6.1.1 THE ISING MODEL
................................. 75 6.1.2 THE MEAN FIELD APPROXIMATION
.................... 77 6.2 DESORPTION WORK
....................................... 78 6.3 FRUMKIN*FOWLER*S
ADSORPTION ISOTHERM .................... 79 6.4 MULTILAYER ADSORPTION
................................... 84 6.5 TWO-DIMENSIONAL PHASE
TRANSITIONS; SPREADING PRESSURE ..... 88 6.6 TWO-DIMENSIONAL VERSUS
THREE DIMENSIONAL PHASES; A LINK TO WETTING
...................................... 93 6.7 DISPLACEMENT AND MIXING OF
CONDENSED TWO-DIMENSIONAL PHASES .................... 94 7. THIN FILMS,
SURFACE ROUGHENING, AND SURFACE ALLOYS ...... 103 7.1 CHEMISORBED VERSUS
PHYSISORBED LAYERS; THIN SOLID FILMS .. 103 7.2 SURFACE ROUGHNESS
CONSIDERED AS A SPECIAL CASE OF ADSORPTION
.......................................... 106 7.3 ADSORPTION ON A
THERMALLY ROUGH SUBSTRATE: SURFACE ALLOYING
........................................ 113 7.4 SURFACE MELTING
........................................ 119 CONTENTS XI 8. EQUILIBRIUM
BETWEEN A SMALL AND A LARGE PHASE .......... 123 8.1 THE GIBBS POTENTIAL
OF A SMALL PHASE; THE CAPILLARITY APPROXIMATION
........................... 123 8.2 THE SIZE-DEPENDENT CHEMICAL
POTENTIAL ................... 128 8.2.1 DROPLETS IN A VAPOR
............................... 129 8.2.2 GAS BUBBLES IN A LIQUID
........................... 130 8.2.3 SOLID CLUSTERS IN A MELT
........................... 132 8.3 STATISTICAL MECHANICAL TREATMENT OF
THE FREE ENERGY OF A SOLID CLUSTER
....................................... 133 8.4 CAPILLARITY
APPROXIMATION VERSUS MODEL CALCULATIONS ....... 138 9. EQUILIBRIUM
SHAPES OF CRYSTALS ........................... 147 9.1 CURIE*WULFF*S
CONDITION AND WULFF*S THEOREM ............. 148 9.2 HERRING*S * -PLOT
........................................ 151 9.3 FACETING OF A K FACE
.................................... 156 9.4 EQUILIBRIUM SHAPE ON A
FOREIGN SUBSTRATE ................. 158 9.5 EQUILIBRIUM SHAPE OF A
DROPLET ON A SUBSTRATE: YOUNG*S EQUATION
...................................... 161 9.6 ENTROPY EFFECTS ON
SURFACE FREE ENERGY AND EQUILIBRIUM SHAPE
.................................. 163 9.7 EQUILIBRIUM OF SMALL
ANISOTROPIC PHASES; THE THERMODYNAMIC APPROACH
........................... 166 9.8 EQUILIBRIUM OF SMALL ANISOTROPIC
PHASES; THE ATOMISTIC APPROACH ................................. 168 9.9
THE INFLUENCE OF FOREIGN ADSORPTION ON THE EQUILIBRIUM SHAPE
............................... 174 9.9.1 THE DIFFERENT TYPES OF CRYSTAL
FACE ................ 177 9.9.2 THE EQUILIBRIUM SHAPE
........................... 179 9.9.3 FACETING
......................................... 180 PART III NUCLEATION 10.
HOMOGENEOUS NUCLEATION; THE PHASE APPROACH ........... 183 10.1 THE
CLASSICAL NUCLEATION WORK. DROPLETS IN A VAPOR ........ 184 10.2 BUBBLES
IN LIQUIDS: BOILING AND CAVITATION ................ 189 10.2.1 BOILING
UNDER POSITIVE EXTERNAL PRESSURE ............ 190 10.2.2 BOILING UNDER
NEGATIVE EXTERNAL PRESSURE ........... 192 10.3 ANISOTROPIC EMBRYOS; THE
THERMODYNAMIC APPROACH ....... 193 10.4 ANISOTROPIC EMBRYOS; THE
ATOMISTIC APPROACH ............. 194 10.5 THE VOLMER*WEBER TREATMENT OF
NUCLEATION KINETICS ....... 196 11. HOMOGENEOUS NUCLEATION; THE CHEMICAL
APPROACH ........ 201 11.1 EQUILIBRIUM IN ASSOCIATED VAPOR
......................... 201 11.2 FRENKEL*S SIZE DISTRIBUTION
............................... 207 XII CONTENTS 11.3 FRENKEL*S
TREATMENT OF STEADY STATE NUCLEATION KINETICS ..... 210 11.4 THE
BECKER*D¨ ORING TREATMENT OF STEADY STATE NUCLEATION KINETICS
..................................... 215 11.5 NUCLEATION KINETICS IN
CONDENSED SYSTEMS ................. 221 11.6 CLUSTER ISOMERS AND
EQUILIBRIUM SHAPE ................... 223 12. NUCLEATION ON A FOREIGN
SUBSTRATE ........................ 227 12.1 NUCLEATION ON A FOREIGN
SOLID SUBSTRATE ................... 227 12.2 NUCLEATION ON THE INTERFACE
BETWEEN TWO FLUIDS ............ 233 12.3 TWO-DIMENSIONAL NUCLEATION
............................. 235 12.4 ROLE OF THE STRUCTURE IN
SUBSTRATE NUCLEATION: EPITAXY ...... 239 12.4.1 EPITAXY BY CLASSICAL
THREE-DIMENSIONAL NUCLEATION ... 240 12.4.2 EPITAXY BY *NON-CLASSICAL*
THREE-DIMENSIONAL NUCLEATION ....................................... 241
12.4.3 EPITAXY BY TWO-DIMENSIONAL NUCLEATION ............ 242 12.5
NUCLEATION ON FOREIGN PARTICLES .......................... 244 12.5.1
NUCLEATION ON PERFECTLY WETTED SPHERICAL PARTICLES
................................ 245 12.5.2 NUCLEATION ON
BETTER-THAN-PERFECTLY-WETTED SPHERICAL PARTICLES
................................ 247 13. SOME SPECIFIC CASES OF
NUCLEATION ........................ 249 13.1 NUCLEATION ON CHARGED
PARTICLES .......................... 249 13.2 SOLIDIFICATION OF SMALL
DROPLETS ........................... 251 13.3 NUCLEATION IN A SMALL
VOLUME ............................ 255 13.4 NUCLEATION AND OSTWALD*S
RULE ........................... 257 13.5 NUCLEATION IN A BINARY ALLOY
............................. 262 13.5.1 THREE-DIMENSIONAL BINARY ALLOYS
................... 262 13.5.2 TWO-DIMENSIONAL (SURFACE) ALLOYS
.................. 265 14. TIME-DEPENDENT NUCLEATION KINETICS
..................... 267 14.1 THE TIME LAG IN NUCLEATION
............................. 267 14.2 NON-CLASSICAL NUCLEATION ON A
SUBSTRATE ................... 270 PART IV CRYSTAL GROWTH 15. ELEMENTARY
PROCESSES ON THE SURFACE OF A CRYSTAL ......... 279 15.1 STICKING
............................................... 281 15.2 SURFACE
MIGRATION ...................................... 283 15.3 MEAN DIFFUSION
LENGTH .................................. 285 16. GROWTH OF A *PERFECT*
K FACE ............................ 291 16.1 KINETICS OF GROWTH OF A
PLANAR K FACE .................... 292 16.1.1 THE MAXIMUM GROWTH RATE
....................... 292 CONTENTS XIII 16.1.2 INCOMPLETE STICKING;
KINETIC COEFFICIENTS ............ 294 16.1.3 A SIMPLE CASE OF
DIFFUSION-CONTROLLED GROWTH ....... 295 16.2 DIFFUSION VERSUS
CAPILLARITY: MORPHOLOGICAL STABILITY ........ 297 17. GROWTH OF AN F
FACE OF A PERFECT CRYSTAL ................. 303 17.1 THE TRANSITION FROM
LAYER-BY-LAYER TO CONTINUOUS GROWTH .. 303 17.2 A ONE-DIMENSIONAL K
FACE: THE MONOMOLECULAR STEP ....... 308 17.3 RATE OF PROPAGATION OF A
SINGLE STRAIGHT STEP .............. 314 17.3.1 ADVANCEMENT CONTROLLED BY
SURFACE DIFFUSION ........ 314 17.3.2 ADVANCEMENT CONTROLLED BY VOLUME
DIFFUSION ........ 318 17.4 RATE OF ADVANCEMENT OF A CURVED STEP
.................... 320 17.5 GROWTH BY TWO-DIMENSIONAL NUCLEATION;
MONONUCLEAR GROWTH ................................... 323 17.6 GROWTH
BY TWO-DIMENSIONAL NUCLEATION; POLYNUCLEAR GROWTH
..................................... 326 18. GROWTH OF AN F FACE OF AN
IMPERFECT CRYSTAL ............. 331 18.1 RATE OF PROPAGATION OF A TRAIN
OF EQUIDISTANT STEPS ........ 332 18.1.1 ADVANCEMENT CONTROLLED BY
SURFACE DIFFUSION ........ 332 18.1.2 ADVANCEMENT CONTROLLED BY VOLUME
DIFFUSION ........ 333 18.2 GROWTH SPIRALS
......................................... 336 18.2.1 GROWTH GOVERNED BY
SURFACE DIFFUSION .............. 339 18.2.2 GROWTH GOVERNED BY VOLUME
DIFFUSION .............. 340 19. CONCLUSION
............................................... 341 APPENDICES
................................................... 343 A.LEGENDRE
TRANSFORMATIONS ............................... 343 B.METHOD OF LAGRANGE
MULTIPLIERS .......................... 344 C.EULER*S THEOREM
........................................ 344 D.STIRLING*S APPROXIMATION
................................ 345 E.MAXIMUM TERM APPROXIMATION
.......................... 345 F.INTEGRALS OF THE TYPE * * 0 X N EXP( *
*X 2 )D X . . . . . . . . . . . . . . . . . 347 REFERENCES
.................................................... 349 INDEX
......................................................... 357
|
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| dewey-ones | 548 - Crystallography |
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| id | DE-604.BV013469678 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:46:27Z |
| institution | BVB |
| isbn | 3540664963 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009194327 |
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| owner | DE-19 DE-BY-UBM DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-20 DE-634 DE-83 DE-526 DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-20 DE-634 DE-83 DE-526 DE-11 |
| physical | XIII, 368 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in materials science |
| series2 | Springer series in materials science Physics and astronomy online library |
| spelling | Mutaftschiev, Boyan 1932- Verfasser (DE-588)122429281 aut The atomistic nature of crystal growth Boyan Mutaftschiev Berlin [u.a.] Springer 2001 XIII, 368 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in materials science 43 Physics and astronomy online library Cristaux - Croissance Crystal growth Keimbildung (DE-588)4201506-6 gnd rswk-swf Kristallwachstum (DE-588)4123579-4 gnd rswk-swf Kristallwachstum (DE-588)4123579-4 s DE-604 Keimbildung (DE-588)4201506-6 s Springer series in materials science 43 (DE-604)BV000683335 43 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009194327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mutaftschiev, Boyan 1932- The atomistic nature of crystal growth Springer series in materials science Cristaux - Croissance Crystal growth Keimbildung (DE-588)4201506-6 gnd Kristallwachstum (DE-588)4123579-4 gnd |
| subject_GND | (DE-588)4201506-6 (DE-588)4123579-4 |
| title | The atomistic nature of crystal growth |
| title_auth | The atomistic nature of crystal growth |
| title_exact_search | The atomistic nature of crystal growth |
| title_full | The atomistic nature of crystal growth Boyan Mutaftschiev |
| title_fullStr | The atomistic nature of crystal growth Boyan Mutaftschiev |
| title_full_unstemmed | The atomistic nature of crystal growth Boyan Mutaftschiev |
| title_short | The atomistic nature of crystal growth |
| title_sort | the atomistic nature of crystal growth |
| topic | Cristaux - Croissance Crystal growth Keimbildung (DE-588)4201506-6 gnd Kristallwachstum (DE-588)4123579-4 gnd |
| topic_facet | Cristaux - Croissance Crystal growth Keimbildung Kristallwachstum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009194327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000683335 |
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