Crystal Structures

Slip Systems

bcc-type \(\left\{1 1 0\right\}\left<1 1 1\right>\) slip systems:

\((0 1 \bar 1)[1 1 1],\,(1 0 \bar 1)[1 1 1],\,(1 \bar 1 0)[1 1 1],\,(0 1 1)[1 1 \bar 1],\,(1 0 1)[1 1 \bar 1],\,(1 \bar 1 0)[1 1 \bar 1],\) \((0 1 1)[1 \bar 1 1],\,(1 0 \bar 1)[1 \bar 1 1],\,(1 1 0)[1 \bar 1 1],\,(0 1 \bar 1)[1 \bar 1 \bar 1],\,(1 0 1)[1 \bar 1 \bar 1],\,(1 1 0)[1 \bar 1 \bar 1]\).

fcc-type, \(\left\{1 1 1\right\}\left<1 1 0\right>\) slip systems:

\((1 1 1)[0 1 \bar 1],\,(1 1 1)[1 0 \bar 1],\,(1 1 1)[1 \bar 1 0],\,(1 1 \bar 1)[0 1 1],\,(1 1 \bar 1)[1 0 1],\,(1 1 \bar 1)[1 \bar 1 0],\,\) \((1 \bar 1 1)[0 1 1],\,(1 \bar 1 1)[1 0 \bar 1],\,(1 \bar 1 1)[1 1 0],\,(1 \bar 1 \bar 1)[0 1 \bar 1],\,(1 \bar 1 \bar 1)[1 0 1],\,(1 \bar 1 \bar 1)[1 1 0]\).

hcp-type slip families:

basal, prismatic, pyramidal.

hcp-type slip systems (in the order basal, prismatic, pyramidal):

\((0 0 0 1)[2 \bar 1 \bar 1 0],\,(0 0 0 1)[\bar 1 2 \bar 1 0],\,(0 0 0 1)[\bar 1 \bar 1 2 0],\,(0 1 \bar 1 0)[2 \bar 1 \bar 1 0],\,(\bar 1 0 1 0)[\bar 1 2 \bar 1 0],\,(1 \bar 1 0 0)[\bar 1 \bar 1 2 0],\,\) \((1 0 \bar 1 1)[\bar 2 1 1 3],\,(1 0 \bar 1 1)[\bar 1 \bar 1 2 3],\,(0 1 \bar 1 1)[\bar 1 \bar 1 2 3],\,(0 1 \bar 1 1)[1 \bar 2 1 3],\,(\bar 1 1 0 1)[1 \bar 2 1 3],\,(\bar 1 1 0 1)[2 \bar 1 \bar 1 3],\,\) \((\bar 1 0 1 1)[2 \bar 1 \bar 1 3],\,(\bar 1 0 1 1)[1 1 \bar 2 3],\,(0 \bar 1 1 1)[1 1 \bar 2 3],\,(0 \bar 1 1 1)[\bar 1 2 \bar 1 3],\,(1 \bar 1 0 1)[\bar 1 2 \bar 1 3],\,(1 \bar 1 0 1)[\bar 2 1 1 3]\).

bct-type slip families:

\(\left\{100\right)\left<001\right]\), \(\left\{110\right)\left<001\right]\), \(\left\{100\right)\left<010\right]\), \(\left\{110\right)\left<1 \bar 11\right]\), \(\left\{110\right)\left<1 \bar10\right]\), \(\left\{100\right)\left<011\right]\), \(\left\{001\right)\left<010\right]\), \(\left\{001\right)\left<110\right]\), \(\left\{011\right)\left<01 \bar 1\right]\) and \(\left\{211\right)\left<01 \bar 1\right]\).

bct-type slip systems:

\((1 0 0)[0 0 1],\,(0 1 0)[0 0 1],\,(1 1 0)[0 0 1],\,(1 \bar 1 0)[0 0 1],\,(1 0 0)[0 1 0],\,(0 1 0)[1 0 0],\) \((1 1 0)[1 \bar 1 1],\,(1 1 0)[\bar 1 1 1],\,(1 \bar 1 0)[1 1 1],\,(1 \bar 1 0)[\bar 1 \bar 1 1],\,(1 1 0)[\bar 1 1 0],\,(1 \bar 1 0)[1 1 0],\) \((1 0 0)[0 1 1],\,(1 0 0)[0 1 \bar 1],\,(0 1 0)[1 0 1],\,(0 1 0)[1 0 \bar 1],\,(0 0 1)[1 1 0],\,(0 0 1)[1 \bar 1 0],\) \((0 0 1)[1 1 0],\,(0 0 1)[1 \bar 1 0],\,(1 0 1)[1 0 \bar 1],\,(1 0 \bar 1)[1 0 1],\,(0 1 1)[0 1 \bar 1],\,(0 1 \bar 1)[0 1 1],\) \((1 2 1)[\bar 1 0 1],\,(\bar 1 2 1)[1 0 1],\,(\bar 1 \bar 2 1)[1 0 1],\,(1 \bar 2 1)[\bar 1 0 1],\,(2 1 1)[0 \bar 1 1],\,(\bar 2 1 1)[0 \bar 1 1],\) \((\bar 2 \bar 1 1)[0 1 1],\,(2 \bar 1 1)[0 1 1].\)