Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A...

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Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The Royal Society

Transcript of Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A...

Page 1: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

Predicting crystal growth by spiral motion

by Ryan C Snyder, and Michael F Doherty

Proceedings AVolume 465(2104):1145-1171

April 8, 2009

©2009 by The Royal Society

Page 2: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

The evolution of a spiral showing each of the three stages of length change for edge i.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 3: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

(a,b) Two clockwise spirals are presented with identical edge orientations, but different velocities and critical lengths for each edge.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 4: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

The relative length of each of the three characteristic edges (solid line, edge 1; dot-dashed line, edge 2; dotted line, edge 3) of the spiral in figure 2a as they grow away from the dislocation.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 5: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

Two spirals are presented with each corresponding edge direction having the same step velocities and critical lengths.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 6: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

A schematic of the variables used in the edge velocity and critical length calculations.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 7: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

A plot of the change in Gibbs free energy against the length of the spiral edge on which a row of molecules is being added.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 8: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

The crystal shape prediction scheme for naphthalene.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 9: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

A comparison of the (a,c) predicted and (b,d) experimental steady-state shapes of naphthalene grown from (a,b) ethanol and (c,d) cyclohexane.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 10: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

A comparison of the (a,b) experimental and (c) predicted steady-state growth shapes of anthracene grown from 2-propanol.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society

Page 11: Predicting crystal growth by spiral motion by Ryan C Snyder, and Michael F Doherty Proceedings A Volume 465(2104):1145-1171 April 8, 2009 ©2009 by The.

A comparison of the (a) predicted shape of α-glycine grown from water and (b) experimental shape from Poornachary et al.

Ryan C Snyder, and Michael F Doherty Proc. R. Soc. A 2009;465:1145-1171

©2009 by The Royal Society