Question

There are seven (7) crystal classes, and under this, there are fourteen (14) Bravais lattices.

·       Further, crystalline materials fall into one of 230 “space groups”.

·       Chiral molecules will crystallize into chiral crystals, and some crystals are chiral while being made up of achiral molecular subunits (e.g. quartz).

DO THIS: Look into the 230 space groups, and try to find out which ones are chiral/asymmetric. This is probably a search for a list, or method to determine…

Answer 1

List of Hermann Mauguin Space Group Symbols, chiral groups

 TRICLINIC P 1 

 MONOCLINIC P 2 P 21 C 2 

ORTHORHOMBIC P 2 2 2 P 2 2 21 P 21 21 2 P 21 21 21 C 2 2 21 C 2 2 2 F 2 2 2 I 2 2 2 I 21 21 21 

TETRAGONAL P 4 P 41 P 42 P 43 I 4 I 41 P 4 2 2 P 4 21 2 P 41 2 2 P 41 21 2 P 42 2 2 P 42 21 2 P 43 2 2 P 43 21 2 I 4 2 2 I 41 2 2 

TRIGONAL P 3 P 31 P 32 R 3 P 3 1 2 P 3 2 1 P 31 1 2 P 31 2 1 P 32 1 2 P 32 2 1 R 3 2 

HEXAGONAL P 6 P 61 P 65 P 62 P 64 P 63 P 6 2 2 P 61 2 2 P 65 2 2 P 62 2 2 P 64 2 2 P 63 2 2

CUBIC (minus sign in front of triade optional) P 2 3 F 2 3 I 2 3 P 21 3 I 21 3 P 4 3 2 P 42 3 2 F 4 3 2 F 41 3 2 I 4 3 2 P 43 3 2 P 41 3 2 I 41 3 2