Crystal growth from the melt:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer
1988
|
| Schriftenreihe: | Crystals
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 129 - 133 |
| Beschreibung: | 138 S. Ill., graph. Darst. |
| ISBN: | 3540186034 0387186034 |
Internformat
MARC
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| 020 | |a 3540186034 |9 3-540-18603-4 | ||
| 020 | |a 0387186034 |9 0-387-18603-4 | ||
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| 084 | |a UQ 2100 |0 (DE-625)146483: |2 rvk | ||
| 100 | 1 | |a Müller, Georg |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Crystal growth from the melt |c by G. Müller |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo |b Springer |c 1988 | |
| 300 | |a 138 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Crystals |v 12 | |
| 500 | |a Literaturverz. S. 129 - 133 | ||
| 650 | 0 | 7 | |a Schmelze |0 (DE-588)4130581-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konvektion |0 (DE-588)4117572-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kristallzüchtung |0 (DE-588)4140616-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kristallzüchtung |0 (DE-588)4140616-3 |D s |
| 689 | 0 | 1 | |a Schmelze |0 (DE-588)4130581-4 |D s |
| 689 | 0 | 2 | |a Konvektion |0 (DE-588)4117572-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Crystals |v 12 |w (DE-604)BV000014658 |9 12 | |
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Datensatz im Suchindex
| _version_ | 1805068916400062464 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
CONVECTION
AND
INHOMOGENEITIES
IN
CRYSTAL
GROWTH
FROM
THE
MELT
G.
MULLER
.
1
AUTHOR
INDEX
VOLUMES
1-12
.
137
CONVECTION
AND
INHOMOGENEITIES
IN
CRYSTAL
GROWTH
FROM
THE
MELT
1
INTRODUCTION
.
5
2
FUNDAMENTALS
OF
THE
PROCESS
MODELING
FOR
SEMICONDUCTOR
CRYSTAL
GROWTH
.
11
2.1
HISTORY
AND
OVERVIEW
.
11
2.2
MATHEMATICAL
DESCRIPTION
OF
CRYSTAL
GROWTH
.
12
2.2.1
GROWTH
DETERMINING
MECHANISMS
.
12
2.2.2
BASIC
EQUATIONS
FOR
SPECIES
AND
HEAT
TRANSPORT
IN
THE
FLUID
PHASE
.
14
2.2.3
BOUNDARY
CONDITIONS
-
STEFAN
PROBLEM
.
15
2.2.4
SIMPLIFICATIONS
AND
APPROACHES
.
16
2.3
HYDRODYNAMIC
SIMILARITY
-
DIMENSIONLESS
NUMBERS
.
17
2.3.1
PRINCIPLE
.
17
2.3.2
DIMENSIONLESS
FORM
OF
THE
BASIC
EQUATIONS
.
17
2.3.2.1
NAVIER-STOKES
EQUATIONS
INCLUDING
GRAVITY
.
17
2.3.2.2
EFFECT
OF
A
SURFACE
TENSION
(CAPILLARY
CONVECTION)
.
18
2.3.2.3
EFFECT
OF
ROTATION
.
19
2.3.2.4
EQUATIONS
OF
CONSERVATION
OF
MASS
AND
ENERGY
.
20
2.3.3
CRYSTAL
GROWTH
CONFIGURATIONS
AND
DIMENSIONLESS
NUMBERS
.
20
2.4
MODELING
FOR
INVESTIGATION
OF
BUOYANCY
CONVECTION
IN
VERTICAL
CRYSTAL
GROWTH
CONFIGURATIONS
.
21
2.4.1
EXPERIMENTAL
MODELS
.
21
2.4.1.1
CYLINDER
WITH
INSULATED
SIDE
WALL
.
21
2.4.1.2
CYLINDER
WITH
ISOTHERMAL
SIDE
WALL
.
22
2.4.2
THEORETICAL
MODELING
.
25
2.5
SEGREGATION
AND
DISTRIBUTION
COEFFICIENTS
.
25
3
MACROSCOPIC
INHOMOGENEITY
.
29
3.1
OVERVIEW
.
29
3.2
LONGITUDINAL
SEGREGATION
.
29
3.2.1
EFFECTIVE
DISTRIBUTION
COEFFICIENT
AND
BOUNDARY
LAYER
MODELS
.
.
30
3.2.1.1
BOUNDARY
LAYER
MODEL
OF
BURTON,
PRIM
AND
SLICHTER
(BPS)
.
30
3.2.1.2
LONGITUDINAL
SEGREGATION
DURING
DIRECTIONAL
SOLIDIFICATION
.
31
3.2.1.3
CONVECTION
AND
THICKNESS
OF
BOUNDARY
LAYERS
.
32
3.2.1.4
FAVIER
'
S
EXTENSION
OF
THE
BPS-MODEL
.
37
3.2.1.5
DETERMINATION
OF
BOUNDARY
LAYER
THICKNESSES
FROM
SOLUTIONS
OF
THE
BASIC
EQUATIONS
.
41
3.2.2
DETERMINATION
OF
THE
LONGITUDINAL
SEGREGATION
FROM
SOLUTIONS
OF
THE
BASIC
EQUATIONS
.
41
3.3
LATERAL
SEGREGATION
.
42
3.3.1
DETERMINATION
OF
FLOW
CONFIGURATIONS
.
42
3.3.1.1
INSULATING
(ADIABATIC)
SIDE
WALLS
.
43
3.3.1.2
ISOTHERMAL
SIDE
WALLS
.
45
3.3.2
TWO-DIMENSIONAL
NUMERICAL
MODELS
OF
RADIAL
SEGREGATION
.
51
4
AVOIDANCE
OF
MACROSCOPIC
INHOMOGENEITY
.
57
4.1
OVERVIEW
.
57
4.2
LONGITUDINAL
SEGREGATION
.
57
4.2.1
EFFECTIVE
DISTRIBUTION
COEFFICIENT
APPROACHES
UNITY
.
57
4.2.1.1
REDUCTION
OF
BUOYANCY
CONVECTION
BY
PROPER
THERMAL
BOUNDARY
CONDITIONS
AND
DIMENSIONS
.
58
4.2.1.2
STATIC
MAGNETIC
FIELDS
.
59
4.2.1.3
REDUCTION
OF
GRAVITY
(
"
MICROGRAVITY
"
)
.
60
4.2.2
CONTROLLED
COMPENSATION
OF
THE
LONGITUDINAL
SEGREGATION
.
61
4.2.2.1
STEADY
METHODS
.
61
4.2.2.2
UNSTEADY
METHODS
.
63
4.3
LATERAL
INHOMOGENEITY
.
65
4.3.1
DIFFUSIVE
MATERIAL
TRANSPORT
DOMINATES
.
66
4.3.2
CONVECTIVE
MATERIAL
TRANSPORT
DOMINATES
.
66
5
MICROSCOPIC
INHOMOGENEITY
.
68
5.1
INTRODUCTION
AND
OVERVIEW
.
68
5.2
CAUSES
OF
MICROINHOMOGENEITY
.
70
5.2.1
QUALITATIVE
DISCUSSION
OF
THE
OCCURENCE
OF
MICROSEGREGATION
.
71
5.2.2
DISCUSSION
OF
MICROSEGREGATION
CAUSED
BY
PERIODIC
VARIATIONS
OF
THE
GROWTH
RATE
(TEMPERATURE)
.
72
2
5.2.2.1
BOUNDARY
LAYER
MODELS
.
72
5.2.2.2
NUMERICAL
SOLUTION
OF
THE
BASIC
EQUATIONS
WITHOUT
BOUNDARY
LAYER
CONSIDERATION
.
74
5.2.3
COMPARISON
OF
THE
RESULTS
OF
MODELING
AND
REAL
CRYSTAL
GROWTH
.
75
5.3
CAUSES
OF
GROWTH
RATE
VARIATIONS
.
77
5.3.1
UNSTEADY
APPARATIVE
CONDITIONS
.
77
5.3.2
UNSTEADY
CONVECTION
.
78
5.3.3
UNSTEADY
INTERFACE
KINETICS
.
79
5.3.4
OTHER
UNSTEADY
EFFECTS
.
82
6
UNSTEADY
BUOYANCY
CONVECTION
AS
AN
ORIGIN
OF
MICROINHOMOGENEITY.
83
6.1
DESCRIPTION
OF
THE
PROBLEM
.
83
6.2
THEORY
OF
UNSTEADY
CONVECTION
.
84
6.2.1
TURBULENCE
.
84
6.2.2
CALCULATION
OF
TIME-DEPENDENT
SOLUTIONS
.
85
6.2.2.1
DETERMINATION
OF
RA
C2
.
85
6.2.2.2
TIME
DEPENDENCE
OF
FLOW
CONFIGURATIONS
.
87
6.3
MODEL
EXPERIMENTS
FOR
UNSTEADY
CONVECTION
.
90
6.3.1
METHODS
OF
EXPERIMENTAL
INVESTIGATION
.
90
6.3.2
RESULTS
OF
MODEL
EXPERIMENTS
WITH
INSULATING
WALLS
.
92
6.3.2.1
METAL
AND
SEMICONDUCTOR
MELTS
.
92
6.3.2.2
WATER
.
95
6.3.3
RESULTS
OF
MODEL
EXPERIMENTS
WITH
ISOTHERMAL
WALLS
.
95
6.4
EXAMINATION
OF
THE
PROCESS
MODEL
FOR
THE
GENERATION
OF
STRIATIONS
IN
REAL
CRYSTAL
GROWTH
.
96
6.4.1
DESCRIPTION
OF
THE
CRYSTAL
GROWTH
EXPERIMENTS
.
96
6.4.2
DISCUSSION
OF
THE
RESULTS
IN
CONNECTION
WITH
THE
PROCESS
MODEL
.
.
97
7
MEASURES
TO
AVOID
CONVECTION
INDUCED
MICROINHOMOGENEITY.
102
7.1
INTRODUCTION
.
102
7.2
CHANGES
OF
THE
MELT
DIMENSION
AND
GEOMETRY
.
102
7.3
REDUCTION
OF
THE
TEMPERATURE
GRADIENT
.
103
7.4
APPLICATION
OF
STATIC
MAGNETIC
FIELDS
.
104
7.4.1
INTRODUCTION
AND
OVERVIEW
.
104
7.4.2
TRANSVERSE
(HORIZONTAL)
MAGNETIC
FIELDS
.
105
7.4.2.1
VERTICAL
BRIDGMAN
CONFIGURATION
WITH
TOP
SEEDING
.
105
7.4.2.2
VERTICAL
BRIDGMAN
CONFIGURATION
WITH
BOTTOM
SEEDING
.
.
106
7.4.2.3
CZOCHRALSKI
METHOD
.
108
7.4.3
AXIAL
(VERTICAL)
MAGNETIC
FIELDS
.
109
7.4.4
CONCLUDING
REMARKS
FOR
THE
APPLICATION
OF
MAGNETIC
FIELDS
TO
REDUCE
MICROINHOMOGENEITY
.
ILL
7.5
REDUCTION
OF
GRAVITY
(SPACE
EXPERIMENTS)
.
ILL
7.6
INCREASE
OF
RA
C2
BY
TRANSITION
TO
A
MORE
STABLE
FLOW
CONFIGURATION
.
113
7.6.1
INTRODUCTION
.
113
7.6.2
EXPERIMENTAL
ARRANGEMENT
(CENTRIFUGE)
.
113
7.6.3
RESULTS
OF
MODEL
EXPERIMENTS
.
116
7.6.4
CRYSTAL
GROWTH
IN
CENTRIFUGE
ARRANGEMENTS
.
119
3
8
CONCLUDING
CONSIDERATIONS
FOR
AN
OPTIMIZATION
OF
CRYSTAL
GROWTH
CONFIGURATIONS
.
126
9
LIST
OF
SYMBOLS
.
128
10
REFERENCES
.
129
11
SUBJECT
INDEX
.
135
4 |
| any_adam_object | 1 |
| author | Müller, Georg |
| author_facet | Müller, Georg |
| author_role | aut |
| author_sort | Müller, Georg |
| author_variant | g m gm |
| building | Verbundindex |
| bvnumber | BV025860344 |
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| id | DE-604.BV025860344 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:57:44Z |
| institution | BVB |
| isbn | 3540186034 0387186034 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019108066 |
| oclc_num | 230934832 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | 138 S. Ill., graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer |
| record_format | marc |
| series | Crystals |
| series2 | Crystals |
| spelling | Müller, Georg Verfasser aut Crystal growth from the melt by G. Müller Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer 1988 138 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Crystals 12 Literaturverz. S. 129 - 133 Schmelze (DE-588)4130581-4 gnd rswk-swf Konvektion (DE-588)4117572-4 gnd rswk-swf Kristallzüchtung (DE-588)4140616-3 gnd rswk-swf Kristallzüchtung (DE-588)4140616-3 s Schmelze (DE-588)4130581-4 s Konvektion (DE-588)4117572-4 s DE-604 Crystals 12 (DE-604)BV000014658 12 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Georg Crystal growth from the melt Crystals Schmelze (DE-588)4130581-4 gnd Konvektion (DE-588)4117572-4 gnd Kristallzüchtung (DE-588)4140616-3 gnd |
| subject_GND | (DE-588)4130581-4 (DE-588)4117572-4 (DE-588)4140616-3 |
| title | Crystal growth from the melt |
| title_auth | Crystal growth from the melt |
| title_exact_search | Crystal growth from the melt |
| title_full | Crystal growth from the melt by G. Müller |
| title_fullStr | Crystal growth from the melt by G. Müller |
| title_full_unstemmed | Crystal growth from the melt by G. Müller |
| title_short | Crystal growth from the melt |
| title_sort | crystal growth from the melt |
| topic | Schmelze (DE-588)4130581-4 gnd Konvektion (DE-588)4117572-4 gnd Kristallzüchtung (DE-588)4140616-3 gnd |
| topic_facet | Schmelze Konvektion Kristallzüchtung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000014658 |
| work_keys_str_mv | AT mullergeorg crystalgrowthfromthemelt |