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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.

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Presentation on theme: "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."— Presentation transcript:

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 Royal Society

2 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

3 (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

4 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

5 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

6 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

7 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

8 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

9 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

10 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

11 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


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