Chapter
Licensed
Unlicensed
Requires Authentication
FREE-FALL SNOW CRYSTALS
-
Kenneth G. Libbrecht
You are currently not able to access this content.
You are currently not able to access this content.
Chapters in this book
- Frontmatter i
- CONTENTS v
- PREFACE vii
-
ONE. Snow Crystal Science
- COMPLEX SYMMETRY 2
- A BRIEF HISTORY OF SNOW CRYSTAL SCIENCE 6
- TWENTY-FIRST- CENTURY SNOWFLAKES 17
- NO TWO ALIKE? 24
-
TWO. Ice Crystal Structure
- ICE CRYSTALLOGRAPHY 31
- SURFACE PREMELTING 36
- ICE ENERGETICS 37
- MOLECULAR DYNAMICS SIMULATIONS 44
- SURFACE ENERGY CONSIDERATIONS 45
- SNOW CRYSTAL TWINNING 48
-
THREE. Diffusion-Limited Growth
- FACETING AND BRANCHING 60
- FREE DENDRITES 64
- DIFFUSION IN SNOW CRYSTAL GROWTH 71
- THE SPHERICAL SOLUTION 74
- ADDITIONAL ANALYTIC SOLUTIONS 79
- SOLVABILITY THEORY 80
- SNOW CRYSTAL AERODYNAMICS 85
- ORDER AND CHAOS 88
-
FOUR. Attachment Kinetics
- ICE KINETICS 112
- LARGE-FACET ATTACHMENT KINETICS 116
- STRUCTURE-DEPENDENT ATTACHMENT KINETICS 123
- EXPLAINING THE NAKAYA DIAGRAM 132
- THE MORPHOLOGICAL NEXUS AT −5°C 135
- SNOW CRYSTAL CARTOGRAPHY 141
- DISLOCATION-MEDIATED GROWTH 141
- CHEMICAL VAPOR EFFECTS 143
-
FIVE. Computational Snow Crystals
- A PROGRESSION OF SNOW CRYSTAL MODELS 148
- SPHERICAL CELLULAR AUTOMATA 159
- CYLINDRICALLY SYMMETRIC CELLULAR AUTOMATA 163
- THREE-DIMENSIONAL CELLULAR AUTOMATA 176
-
SIX. Laboratory Snow Crystals
- FREE-FALL SNOW CRYSTALS 185
- SUBSTRATE SUPPORT 191
- LEVITATION 196
- CONTINUOUS DIFFUSION CHAMBERS 198
- SNOW CRYSTAL IMAGING 201
-
SEVEN. Simple Ice Prisms
- PRECISION ICE GROWTH MEASUREMENTS 209
- A TALE OF TWO EXPERIMENTS 214
- SIMPLE-PRISM CONVERGENCE 231
-
EIGHT. Electric Ice Needles
- SNOWFLAKE ON A STICK 235
- E-NEEDLE FORMATION 240
- AN E-NEEDLE DUAL DIFFUSION CHAMBER 248
- THE NAKAYA DIAGRAM ON E-NEEDLES 254
- SIMPLEST E-NEEDLE GROWTH 262
- AN ANALYSIS EXAMPLE: E-NEEDLES AT −15°C 264
- E-NEEDLE VIGNETTES 267
-
NINE. Designer Snow Crystals
- THE PLATE-ON- PEDESTAL METHOD 278
- ILLUMINATION AND POSTPROCESSING 285
- POP GROWTH BEHAVIORS 291
- IDENTICAL-TWIN SNOW CRYSTALS 302
- POP ART 306
-
TEN. Natural Snowflakes
- SNOWFLAKE WATCHING 330
-
ELEVEN. Snowflake Photography
- FINDING SNOWFLAKES 389
- OPTICS AND LENSES 397
- ILLUMINATION MATTERS 405
- APPENDIX. List of Variables and Physical Constants 423
- BIBLIOGRAPHY 427
- INDEX 437
Chapters in this book
- Frontmatter i
- CONTENTS v
- PREFACE vii
-
ONE. Snow Crystal Science
- COMPLEX SYMMETRY 2
- A BRIEF HISTORY OF SNOW CRYSTAL SCIENCE 6
- TWENTY-FIRST- CENTURY SNOWFLAKES 17
- NO TWO ALIKE? 24
-
TWO. Ice Crystal Structure
- ICE CRYSTALLOGRAPHY 31
- SURFACE PREMELTING 36
- ICE ENERGETICS 37
- MOLECULAR DYNAMICS SIMULATIONS 44
- SURFACE ENERGY CONSIDERATIONS 45
- SNOW CRYSTAL TWINNING 48
-
THREE. Diffusion-Limited Growth
- FACETING AND BRANCHING 60
- FREE DENDRITES 64
- DIFFUSION IN SNOW CRYSTAL GROWTH 71
- THE SPHERICAL SOLUTION 74
- ADDITIONAL ANALYTIC SOLUTIONS 79
- SOLVABILITY THEORY 80
- SNOW CRYSTAL AERODYNAMICS 85
- ORDER AND CHAOS 88
-
FOUR. Attachment Kinetics
- ICE KINETICS 112
- LARGE-FACET ATTACHMENT KINETICS 116
- STRUCTURE-DEPENDENT ATTACHMENT KINETICS 123
- EXPLAINING THE NAKAYA DIAGRAM 132
- THE MORPHOLOGICAL NEXUS AT −5°C 135
- SNOW CRYSTAL CARTOGRAPHY 141
- DISLOCATION-MEDIATED GROWTH 141
- CHEMICAL VAPOR EFFECTS 143
-
FIVE. Computational Snow Crystals
- A PROGRESSION OF SNOW CRYSTAL MODELS 148
- SPHERICAL CELLULAR AUTOMATA 159
- CYLINDRICALLY SYMMETRIC CELLULAR AUTOMATA 163
- THREE-DIMENSIONAL CELLULAR AUTOMATA 176
-
SIX. Laboratory Snow Crystals
- FREE-FALL SNOW CRYSTALS 185
- SUBSTRATE SUPPORT 191
- LEVITATION 196
- CONTINUOUS DIFFUSION CHAMBERS 198
- SNOW CRYSTAL IMAGING 201
-
SEVEN. Simple Ice Prisms
- PRECISION ICE GROWTH MEASUREMENTS 209
- A TALE OF TWO EXPERIMENTS 214
- SIMPLE-PRISM CONVERGENCE 231
-
EIGHT. Electric Ice Needles
- SNOWFLAKE ON A STICK 235
- E-NEEDLE FORMATION 240
- AN E-NEEDLE DUAL DIFFUSION CHAMBER 248
- THE NAKAYA DIAGRAM ON E-NEEDLES 254
- SIMPLEST E-NEEDLE GROWTH 262
- AN ANALYSIS EXAMPLE: E-NEEDLES AT −15°C 264
- E-NEEDLE VIGNETTES 267
-
NINE. Designer Snow Crystals
- THE PLATE-ON- PEDESTAL METHOD 278
- ILLUMINATION AND POSTPROCESSING 285
- POP GROWTH BEHAVIORS 291
- IDENTICAL-TWIN SNOW CRYSTALS 302
- POP ART 306
-
TEN. Natural Snowflakes
- SNOWFLAKE WATCHING 330
-
ELEVEN. Snowflake Photography
- FINDING SNOWFLAKES 389
- OPTICS AND LENSES 397
- ILLUMINATION MATTERS 405
- APPENDIX. List of Variables and Physical Constants 423
- BIBLIOGRAPHY 427
- INDEX 437