support the user
This commit is contained in:
Martin Diehl
parent
a314e63ed2
commit
c7b512a94e
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@ -27,6 +27,276 @@ lattice_symmetries: Dict[CrystalLattice, CrystalFamily] = {
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'cF': 'cubic',
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}
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orientation_relationships: Dict[str, Dict[CrystalLattice,np.ndarray]] = {
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'KS': {
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'cF': np.array([
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[[-1, 0, 1],[ 1, 1, 1]],
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[[-1, 0, 1],[ 1, 1, 1]],
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[[ 0, 1,-1],[ 1, 1, 1]],
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[[ 0, 1,-1],[ 1, 1, 1]],
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[[ 1,-1, 0],[ 1, 1, 1]],
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[[ 1,-1, 0],[ 1, 1, 1]],
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[[ 1, 0,-1],[ 1,-1, 1]],
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[[ 1, 0,-1],[ 1,-1, 1]],
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[[-1,-1, 0],[ 1,-1, 1]],
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[[-1,-1, 0],[ 1,-1, 1]],
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[[ 0, 1, 1],[ 1,-1, 1]],
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[[ 0, 1, 1],[ 1,-1, 1]],
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[[ 0,-1, 1],[-1, 1, 1]],
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[[ 0,-1, 1],[-1, 1, 1]],
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[[-1, 0,-1],[-1, 1, 1]],
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[[-1, 0,-1],[-1, 1, 1]],
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[[ 1, 1, 0],[-1, 1, 1]],
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[[ 1, 1, 0],[-1, 1, 1]],
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[[-1, 1, 0],[ 1, 1,-1]],
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[[-1, 1, 0],[ 1, 1,-1]],
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[[ 0,-1,-1],[ 1, 1,-1]],
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[[ 0,-1,-1],[ 1, 1,-1]],
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[[ 1, 0, 1],[ 1, 1,-1]],
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[[ 1, 0, 1],[ 1, 1,-1]],
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],dtype=float),
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'cI': np.array([
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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],dtype=float),
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},
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'GT': {
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'cF': np.array([
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[[ -5,-12, 17],[ 1, 1, 1]],
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[[ 17, -5,-12],[ 1, 1, 1]],
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[[-12, 17, -5],[ 1, 1, 1]],
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[[ 5, 12, 17],[ -1, -1, 1]],
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[[-17, 5,-12],[ -1, -1, 1]],
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[[ 12,-17, -5],[ -1, -1, 1]],
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[[ -5, 12,-17],[ -1, 1, 1]],
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[[ 17, 5, 12],[ -1, 1, 1]],
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[[-12,-17, 5],[ -1, 1, 1]],
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[[ 5,-12,-17],[ 1, -1, 1]],
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[[-17, -5, 12],[ 1, -1, 1]],
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[[ 12, 17, 5],[ 1, -1, 1]],
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[[ -5, 17,-12],[ 1, 1, 1]],
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[[-12, -5, 17],[ 1, 1, 1]],
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[[ 17,-12, -5],[ 1, 1, 1]],
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[[ 5,-17,-12],[ -1, -1, 1]],
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[[ 12, 5, 17],[ -1, -1, 1]],
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[[-17, 12, -5],[ -1, -1, 1]],
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[[ -5,-17, 12],[ -1, 1, 1]],
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[[-12, 5,-17],[ -1, 1, 1]],
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[[ 17, 12, 5],[ -1, 1, 1]],
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[[ 5, 17, 12],[ 1, -1, 1]],
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[[ 12, -5,-17],[ 1, -1, 1]],
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[[-17,-12, 5],[ 1, -1, 1]],
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],dtype=float),
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'cI': np.array([
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[[-17, -7, 17],[ 1, 0, 1]],
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[[ 17,-17, -7],[ 1, 1, 0]],
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[[ -7, 17,-17],[ 0, 1, 1]],
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[[ 17, 7, 17],[ -1, 0, 1]],
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[[-17, 17, -7],[ -1, -1, 0]],
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[[ 7,-17,-17],[ 0, -1, 1]],
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[[-17, 7,-17],[ -1, 0, 1]],
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[[ 17, 17, 7],[ -1, 1, 0]],
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[[ -7,-17, 17],[ 0, 1, 1]],
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[[ 17, -7,-17],[ 1, 0, 1]],
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[[-17,-17, 7],[ 1, -1, 0]],
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[[ 7, 17, 17],[ 0, -1, 1]],
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[[-17, 17, -7],[ 1, 1, 0]],
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[[ -7,-17, 17],[ 0, 1, 1]],
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[[ 17, -7,-17],[ 1, 0, 1]],
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[[ 17,-17, -7],[ -1, -1, 0]],
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[[ 7, 17, 17],[ 0, -1, 1]],
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[[-17, 7,-17],[ -1, 0, 1]],
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[[-17,-17, 7],[ -1, 1, 0]],
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[[ -7, 17,-17],[ 0, 1, 1]],
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[[ 17, 7, 17],[ -1, 0, 1]],
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[[ 17, 17, 7],[ 1, -1, 0]],
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[[ 7,-17,-17],[ 0, -1, 1]],
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[[-17, -7, 17],[ 1, 0, 1]],
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],dtype=float),
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},
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'GT_prime': {
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'cF' : np.array([
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[[ 0, 1, -1],[ 7, 17, 17]],
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[[ -1, 0, 1],[ 17, 7, 17]],
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[[ 1, -1, 0],[ 17, 17, 7]],
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[[ 0, -1, -1],[ -7,-17, 17]],
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[[ 1, 0, 1],[-17, -7, 17]],
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[[ 1, -1, 0],[-17,-17, 7]],
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[[ 0, 1, -1],[ 7,-17,-17]],
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[[ 1, 0, 1],[ 17, -7,-17]],
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[[ -1, -1, 0],[ 17,-17, -7]],
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[[ 0, -1, -1],[ -7, 17,-17]],
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[[ -1, 0, 1],[-17, 7,-17]],
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[[ -1, -1, 0],[-17, 17, -7]],
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[[ 0, -1, 1],[ 7, 17, 17]],
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[[ 1, 0, -1],[ 17, 7, 17]],
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[[ -1, 1, 0],[ 17, 17, 7]],
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[[ 0, 1, 1],[ -7,-17, 17]],
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[[ -1, 0, -1],[-17, -7, 17]],
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[[ -1, 1, 0],[-17,-17, 7]],
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[[ 0, -1, 1],[ 7,-17,-17]],
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[[ -1, 0, -1],[ 17, -7,-17]],
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[[ 1, 1, 0],[ 17,-17, -7]],
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[[ 0, 1, 1],[ -7, 17,-17]],
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[[ 1, 0, -1],[-17, 7,-17]],
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[[ 1, 1, 0],[-17, 17, -7]],
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],dtype=float),
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'cI' : np.array([
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[[ 1, 1, -1],[ 12, 5, 17]],
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[[ -1, 1, 1],[ 17, 12, 5]],
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[[ 1, -1, 1],[ 5, 17, 12]],
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[[ -1, -1, -1],[-12, -5, 17]],
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[[ 1, -1, 1],[-17,-12, 5]],
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[[ 1, -1, -1],[ -5,-17, 12]],
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[[ -1, 1, -1],[ 12, -5,-17]],
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[[ 1, 1, 1],[ 17,-12, -5]],
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[[ -1, -1, 1],[ 5,-17,-12]],
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[[ 1, -1, -1],[-12, 5,-17]],
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[[ -1, -1, 1],[-17, 12, -5]],
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[[ -1, -1, -1],[ -5, 17,-12]],
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[[ 1, -1, 1],[ 12, 17, 5]],
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[[ 1, 1, -1],[ 5, 12, 17]],
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[[ -1, 1, 1],[ 17, 5, 12]],
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[[ -1, 1, 1],[-12,-17, 5]],
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[[ -1, -1, -1],[ -5,-12, 17]],
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[[ -1, 1, -1],[-17, -5, 12]],
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[[ -1, -1, 1],[ 12,-17, -5]],
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[[ -1, 1, -1],[ 5,-12,-17]],
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[[ 1, 1, 1],[ 17, -5,-12]],
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[[ 1, 1, 1],[-12, 17, -5]],
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[[ 1, -1, -1],[ -5, 12,-17]],
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[[ 1, 1, -1],[-17, 5,-12]],
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],dtype=float),
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},
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'NW': {
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'cF' : np.array([
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[[ 2, -1, -1],[ 1, 1, 1]],
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[[ -1, 2, -1],[ 1, 1, 1]],
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[[ -1, -1, 2],[ 1, 1, 1]],
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[[ -2, -1, -1],[ -1, 1, 1]],
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[[ 1, 2, -1],[ -1, 1, 1]],
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[[ 1, -1, 2],[ -1, 1, 1]],
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[[ 2, 1, -1],[ 1, -1, 1]],
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[[ -1, -2, -1],[ 1, -1, 1]],
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[[ -1, 1, 2],[ 1, -1, 1]],
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[[ 2, -1, 1],[ -1, -1, 1]],
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[[ -1, 2, 1],[ -1, -1, 1]],
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[[ -1, -1, -2],[ -1, -1, 1]],
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],dtype=float),
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'cI' : np.array([
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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[[ 0, -1, 1],[ 0, 1, 1]],
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],dtype=float),
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},
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'Pitsch': {
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'cF' : np.array([
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[[ 1, 0, 1],[ 0, 1, 0]],
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[[ 1, 1, 0],[ 0, 0, 1]],
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[[ 0, 1, 1],[ 1, 0, 0]],
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[[ 0, 1, -1],[ 1, 0, 0]],
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[[ -1, 0, 1],[ 0, 1, 0]],
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[[ 1, -1, 0],[ 0, 0, 1]],
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[[ 1, 0, -1],[ 0, 1, 0]],
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[[ -1, 1, 0],[ 0, 0, 1]],
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[[ 0, -1, 1],[ 1, 0, 0]],
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[[ 0, 1, 1],[ 1, 0, 0]],
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[[ 1, 0, 1],[ 0, 1, 0]],
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[[ 1, 1, 0],[ 0, 0, 1]],
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],dtype=float),
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'cI' : np.array([
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[[ 1, -1, 1],[ -1, 0, 1]],
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[[ 1, 1, -1],[ 1, -1, 0]],
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[[ -1, 1, 1],[ 0, 1, -1]],
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[[ -1, 1, -1],[ 0, -1, -1]],
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[[ -1, -1, 1],[ -1, 0, -1]],
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[[ 1, -1, -1],[ -1, -1, 0]],
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[[ 1, -1, -1],[ -1, 0, -1]],
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[[ -1, 1, -1],[ -1, -1, 0]],
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[[ -1, -1, 1],[ 0, -1, -1]],
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[[ -1, 1, 1],[ 0, -1, 1]],
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[[ 1, -1, 1],[ 1, 0, -1]],
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[[ 1, 1, -1],[ -1, 1, 0]],
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],dtype=float),
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},
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'Bain': {
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'cF' : np.array([
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[[ 0, 1, 0],[ 1, 0, 0]],
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[[ 0, 0, 1],[ 0, 1, 0]],
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[[ 1, 0, 0],[ 0, 0, 1]],
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],dtype=float),
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'cI' : np.array([
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[[ 0, 1, 1],[ 1, 0, 0]],
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[[ 1, 0, 1],[ 0, 1, 0]],
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[[ 1, 1, 0],[ 0, 0, 1]],
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],dtype=float),
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},
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'Burgers' : {
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'cI' : np.array([
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[[ -1, 1, 1],[ 1, 1, 0]],
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[[ -1, 1, -1],[ 1, 1, 0]],
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[[ 1, 1, 1],[ 1, -1, 0]],
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[[ 1, 1, -1],[ 1, -1, 0]],
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[[ 1, 1, -1],[ 1, 0, 1]],
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[[ -1, 1, 1],[ 1, 0, 1]],
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[[ 1, 1, 1],[ -1, 0, 1]],
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[[ 1, -1, 1],[ -1, 0, 1]],
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[[ -1, 1, -1],[ 0, 1, 1]],
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[[ 1, 1, -1],[ 0, 1, 1]],
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[[ -1, 1, 1],[ 0, -1, 1]],
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[[ 1, 1, 1],[ 0, -1, 1]],
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],dtype=float),
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'hP' : np.array([
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
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[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
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],dtype=float),
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},
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}
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class Crystal():
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"""
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@ -200,6 +470,15 @@ class Crystal():
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return _immutable[self.family]
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@property
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def orientation_relationships(self):
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"""Return labels of orientation relationships."""
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labels = []
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for k,v in orientation_relationships.items():
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if list(v.items())[1][0] == self.lattice: labels.append(k)
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return labels
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@property
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def standard_triangle(self) -> Union[Dict[str, np.ndarray], None]:
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"""
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@ -768,280 +1047,10 @@ class Crystal():
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https://doi.org/10.1016/j.actamat.2004.11.021
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"""
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_orientation_relationships: Dict[str, Dict[CrystalLattice,np.ndarray]] = {
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'KS': {
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'cF' : np.array([
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[[-1, 0, 1],[ 1, 1, 1]],
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[[-1, 0, 1],[ 1, 1, 1]],
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[[ 0, 1,-1],[ 1, 1, 1]],
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[[ 0, 1,-1],[ 1, 1, 1]],
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[[ 1,-1, 0],[ 1, 1, 1]],
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[[ 1,-1, 0],[ 1, 1, 1]],
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[[ 1, 0,-1],[ 1,-1, 1]],
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[[ 1, 0,-1],[ 1,-1, 1]],
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[[-1,-1, 0],[ 1,-1, 1]],
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[[-1,-1, 0],[ 1,-1, 1]],
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[[ 0, 1, 1],[ 1,-1, 1]],
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[[ 0, 1, 1],[ 1,-1, 1]],
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[[ 0,-1, 1],[-1, 1, 1]],
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[[ 0,-1, 1],[-1, 1, 1]],
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[[-1, 0,-1],[-1, 1, 1]],
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[[-1, 0,-1],[-1, 1, 1]],
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[[ 1, 1, 0],[-1, 1, 1]],
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[[ 1, 1, 0],[-1, 1, 1]],
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[[-1, 1, 0],[ 1, 1,-1]],
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[[-1, 1, 0],[ 1, 1,-1]],
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[[ 0,-1,-1],[ 1, 1,-1]],
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[[ 0,-1,-1],[ 1, 1,-1]],
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[[ 1, 0, 1],[ 1, 1,-1]],
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[[ 1, 0, 1],[ 1, 1,-1]],
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],dtype=float),
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'cI' : np.array([
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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[[-1,-1, 1],[ 0, 1, 1]],
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[[-1, 1,-1],[ 0, 1, 1]],
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],dtype=float),
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},
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'GT': {
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'cF' : np.array([
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[[ -5,-12, 17],[ 1, 1, 1]],
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[[ 17, -5,-12],[ 1, 1, 1]],
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[[-12, 17, -5],[ 1, 1, 1]],
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[[ 5, 12, 17],[ -1, -1, 1]],
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[[-17, 5,-12],[ -1, -1, 1]],
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[[ 12,-17, -5],[ -1, -1, 1]],
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[[ -5, 12,-17],[ -1, 1, 1]],
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[[ 17, 5, 12],[ -1, 1, 1]],
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[[-12,-17, 5],[ -1, 1, 1]],
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[[ 5,-12,-17],[ 1, -1, 1]],
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[[-17, -5, 12],[ 1, -1, 1]],
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[[ 12, 17, 5],[ 1, -1, 1]],
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[[ -5, 17,-12],[ 1, 1, 1]],
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[[-12, -5, 17],[ 1, 1, 1]],
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[[ 17,-12, -5],[ 1, 1, 1]],
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[[ 5,-17,-12],[ -1, -1, 1]],
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[[ 12, 5, 17],[ -1, -1, 1]],
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[[-17, 12, -5],[ -1, -1, 1]],
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[[ -5,-17, 12],[ -1, 1, 1]],
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[[-12, 5,-17],[ -1, 1, 1]],
|
||||
[[ 17, 12, 5],[ -1, 1, 1]],
|
||||
[[ 5, 17, 12],[ 1, -1, 1]],
|
||||
[[ 12, -5,-17],[ 1, -1, 1]],
|
||||
[[-17,-12, 5],[ 1, -1, 1]],
|
||||
],dtype=float),
|
||||
'cI' : np.array([
|
||||
[[-17, -7, 17],[ 1, 0, 1]],
|
||||
[[ 17,-17, -7],[ 1, 1, 0]],
|
||||
[[ -7, 17,-17],[ 0, 1, 1]],
|
||||
[[ 17, 7, 17],[ -1, 0, 1]],
|
||||
[[-17, 17, -7],[ -1, -1, 0]],
|
||||
[[ 7,-17,-17],[ 0, -1, 1]],
|
||||
[[-17, 7,-17],[ -1, 0, 1]],
|
||||
[[ 17, 17, 7],[ -1, 1, 0]],
|
||||
[[ -7,-17, 17],[ 0, 1, 1]],
|
||||
[[ 17, -7,-17],[ 1, 0, 1]],
|
||||
[[-17,-17, 7],[ 1, -1, 0]],
|
||||
[[ 7, 17, 17],[ 0, -1, 1]],
|
||||
[[-17, 17, -7],[ 1, 1, 0]],
|
||||
[[ -7,-17, 17],[ 0, 1, 1]],
|
||||
[[ 17, -7,-17],[ 1, 0, 1]],
|
||||
[[ 17,-17, -7],[ -1, -1, 0]],
|
||||
[[ 7, 17, 17],[ 0, -1, 1]],
|
||||
[[-17, 7,-17],[ -1, 0, 1]],
|
||||
[[-17,-17, 7],[ -1, 1, 0]],
|
||||
[[ -7, 17,-17],[ 0, 1, 1]],
|
||||
[[ 17, 7, 17],[ -1, 0, 1]],
|
||||
[[ 17, 17, 7],[ 1, -1, 0]],
|
||||
[[ 7,-17,-17],[ 0, -1, 1]],
|
||||
[[-17, -7, 17],[ 1, 0, 1]],
|
||||
],dtype=float),
|
||||
},
|
||||
'GT_prime': {
|
||||
'cF' : np.array([
|
||||
[[ 0, 1, -1],[ 7, 17, 17]],
|
||||
[[ -1, 0, 1],[ 17, 7, 17]],
|
||||
[[ 1, -1, 0],[ 17, 17, 7]],
|
||||
[[ 0, -1, -1],[ -7,-17, 17]],
|
||||
[[ 1, 0, 1],[-17, -7, 17]],
|
||||
[[ 1, -1, 0],[-17,-17, 7]],
|
||||
[[ 0, 1, -1],[ 7,-17,-17]],
|
||||
[[ 1, 0, 1],[ 17, -7,-17]],
|
||||
[[ -1, -1, 0],[ 17,-17, -7]],
|
||||
[[ 0, -1, -1],[ -7, 17,-17]],
|
||||
[[ -1, 0, 1],[-17, 7,-17]],
|
||||
[[ -1, -1, 0],[-17, 17, -7]],
|
||||
[[ 0, -1, 1],[ 7, 17, 17]],
|
||||
[[ 1, 0, -1],[ 17, 7, 17]],
|
||||
[[ -1, 1, 0],[ 17, 17, 7]],
|
||||
[[ 0, 1, 1],[ -7,-17, 17]],
|
||||
[[ -1, 0, -1],[-17, -7, 17]],
|
||||
[[ -1, 1, 0],[-17,-17, 7]],
|
||||
[[ 0, -1, 1],[ 7,-17,-17]],
|
||||
[[ -1, 0, -1],[ 17, -7,-17]],
|
||||
[[ 1, 1, 0],[ 17,-17, -7]],
|
||||
[[ 0, 1, 1],[ -7, 17,-17]],
|
||||
[[ 1, 0, -1],[-17, 7,-17]],
|
||||
[[ 1, 1, 0],[-17, 17, -7]],
|
||||
],dtype=float),
|
||||
'cI' : np.array([
|
||||
[[ 1, 1, -1],[ 12, 5, 17]],
|
||||
[[ -1, 1, 1],[ 17, 12, 5]],
|
||||
[[ 1, -1, 1],[ 5, 17, 12]],
|
||||
[[ -1, -1, -1],[-12, -5, 17]],
|
||||
[[ 1, -1, 1],[-17,-12, 5]],
|
||||
[[ 1, -1, -1],[ -5,-17, 12]],
|
||||
[[ -1, 1, -1],[ 12, -5,-17]],
|
||||
[[ 1, 1, 1],[ 17,-12, -5]],
|
||||
[[ -1, -1, 1],[ 5,-17,-12]],
|
||||
[[ 1, -1, -1],[-12, 5,-17]],
|
||||
[[ -1, -1, 1],[-17, 12, -5]],
|
||||
[[ -1, -1, -1],[ -5, 17,-12]],
|
||||
[[ 1, -1, 1],[ 12, 17, 5]],
|
||||
[[ 1, 1, -1],[ 5, 12, 17]],
|
||||
[[ -1, 1, 1],[ 17, 5, 12]],
|
||||
[[ -1, 1, 1],[-12,-17, 5]],
|
||||
[[ -1, -1, -1],[ -5,-12, 17]],
|
||||
[[ -1, 1, -1],[-17, -5, 12]],
|
||||
[[ -1, -1, 1],[ 12,-17, -5]],
|
||||
[[ -1, 1, -1],[ 5,-12,-17]],
|
||||
[[ 1, 1, 1],[ 17, -5,-12]],
|
||||
[[ 1, 1, 1],[-12, 17, -5]],
|
||||
[[ 1, -1, -1],[ -5, 12,-17]],
|
||||
[[ 1, 1, -1],[-17, 5,-12]],
|
||||
],dtype=float),
|
||||
},
|
||||
'NW': {
|
||||
'cF' : np.array([
|
||||
[[ 2, -1, -1],[ 1, 1, 1]],
|
||||
[[ -1, 2, -1],[ 1, 1, 1]],
|
||||
[[ -1, -1, 2],[ 1, 1, 1]],
|
||||
[[ -2, -1, -1],[ -1, 1, 1]],
|
||||
[[ 1, 2, -1],[ -1, 1, 1]],
|
||||
[[ 1, -1, 2],[ -1, 1, 1]],
|
||||
[[ 2, 1, -1],[ 1, -1, 1]],
|
||||
[[ -1, -2, -1],[ 1, -1, 1]],
|
||||
[[ -1, 1, 2],[ 1, -1, 1]],
|
||||
[[ 2, -1, 1],[ -1, -1, 1]],
|
||||
[[ -1, 2, 1],[ -1, -1, 1]],
|
||||
[[ -1, -1, -2],[ -1, -1, 1]],
|
||||
],dtype=float),
|
||||
'cI' : np.array([
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
[[ 0, -1, 1],[ 0, 1, 1]],
|
||||
],dtype=float),
|
||||
},
|
||||
'Pitsch': {
|
||||
'cF' : np.array([
|
||||
[[ 1, 0, 1],[ 0, 1, 0]],
|
||||
[[ 1, 1, 0],[ 0, 0, 1]],
|
||||
[[ 0, 1, 1],[ 1, 0, 0]],
|
||||
[[ 0, 1, -1],[ 1, 0, 0]],
|
||||
[[ -1, 0, 1],[ 0, 1, 0]],
|
||||
[[ 1, -1, 0],[ 0, 0, 1]],
|
||||
[[ 1, 0, -1],[ 0, 1, 0]],
|
||||
[[ -1, 1, 0],[ 0, 0, 1]],
|
||||
[[ 0, -1, 1],[ 1, 0, 0]],
|
||||
[[ 0, 1, 1],[ 1, 0, 0]],
|
||||
[[ 1, 0, 1],[ 0, 1, 0]],
|
||||
[[ 1, 1, 0],[ 0, 0, 1]],
|
||||
],dtype=float),
|
||||
'cI' : np.array([
|
||||
[[ 1, -1, 1],[ -1, 0, 1]],
|
||||
[[ 1, 1, -1],[ 1, -1, 0]],
|
||||
[[ -1, 1, 1],[ 0, 1, -1]],
|
||||
[[ -1, 1, -1],[ 0, -1, -1]],
|
||||
[[ -1, -1, 1],[ -1, 0, -1]],
|
||||
[[ 1, -1, -1],[ -1, -1, 0]],
|
||||
[[ 1, -1, -1],[ -1, 0, -1]],
|
||||
[[ -1, 1, -1],[ -1, -1, 0]],
|
||||
[[ -1, -1, 1],[ 0, -1, -1]],
|
||||
[[ -1, 1, 1],[ 0, -1, 1]],
|
||||
[[ 1, -1, 1],[ 1, 0, -1]],
|
||||
[[ 1, 1, -1],[ -1, 1, 0]],
|
||||
],dtype=float),
|
||||
},
|
||||
'Bain': {
|
||||
'cF' : np.array([
|
||||
[[ 0, 1, 0],[ 1, 0, 0]],
|
||||
[[ 0, 0, 1],[ 0, 1, 0]],
|
||||
[[ 1, 0, 0],[ 0, 0, 1]],
|
||||
],dtype=float),
|
||||
'cI' : np.array([
|
||||
[[ 0, 1, 1],[ 1, 0, 0]],
|
||||
[[ 1, 0, 1],[ 0, 1, 0]],
|
||||
[[ 1, 1, 0],[ 0, 0, 1]],
|
||||
],dtype=float),
|
||||
},
|
||||
'Burgers' : {
|
||||
'cI' : np.array([
|
||||
[[ -1, 1, 1],[ 1, 1, 0]],
|
||||
[[ -1, 1, -1],[ 1, 1, 0]],
|
||||
[[ 1, 1, 1],[ 1, -1, 0]],
|
||||
[[ 1, 1, -1],[ 1, -1, 0]],
|
||||
|
||||
[[ 1, 1, -1],[ 1, 0, 1]],
|
||||
[[ -1, 1, 1],[ 1, 0, 1]],
|
||||
[[ 1, 1, 1],[ -1, 0, 1]],
|
||||
[[ 1, -1, 1],[ -1, 0, 1]],
|
||||
|
||||
[[ -1, 1, -1],[ 0, 1, 1]],
|
||||
[[ 1, 1, -1],[ 0, 1, 1]],
|
||||
[[ -1, 1, 1],[ 0, -1, 1]],
|
||||
[[ 1, 1, 1],[ 0, -1, 1]],
|
||||
],dtype=float),
|
||||
'hP' : np.array([
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, 2, -1, 0],[ 0, 0, 0, 1]],
|
||||
[[ -1, -1, 2, 0],[ 0, 0, 0, 1]],
|
||||
],dtype=float),
|
||||
},
|
||||
}
|
||||
orientation_relationships = {k:v for k,v in _orientation_relationships.items() if self.lattice in v}
|
||||
if model not in orientation_relationships:
|
||||
my_relationships = {k:v for k,v in orientation_relationships.items() if self.lattice in v}
|
||||
if model not in my_relationships:
|
||||
raise KeyError(f'unknown orientation relationship "{model}"')
|
||||
r = orientation_relationships[model]
|
||||
r = my_relationships[model]
|
||||
|
||||
sl = self.lattice
|
||||
ol = (set(r)-{sl}).pop()
|
||||
|
|
|
|||
|
|
@ -823,7 +823,7 @@ class Orientation(Rotation,Crystal):
|
|||
|
||||
Parameters
|
||||
----------
|
||||
N_slip|N_twin : '*' or iterable of int
|
||||
N_slip|N_twin : '*' or sequence of int
|
||||
Number of deformation systems per family of the deformation system.
|
||||
Use '*' to select all.
|
||||
|
||||
|
|
@ -871,8 +871,34 @@ class Orientation(Rotation,Crystal):
|
|||
"""
|
||||
Orientations derived from the given relationship.
|
||||
|
||||
One dimension (length according to number of related orientations)
|
||||
is added to the left of the Rotation array.
|
||||
Parameters
|
||||
----------
|
||||
model : str
|
||||
Model for orientation relationship.
|
||||
Must be out of self.orientation_relationships.
|
||||
|
||||
Returns
|
||||
-------
|
||||
Orientations with crystal structure according to
|
||||
the selected model for the orienation relationship.
|
||||
|
||||
Examples
|
||||
--------
|
||||
Rotations of the Bain orientation relationship (cI -> cF)
|
||||
of a crystal in "Cube" orientation.
|
||||
|
||||
>>> import numpy as np
|
||||
>>> import damask
|
||||
>>> np.set_printoptions(3,suppress=True,floatmode='fixed')
|
||||
>>> damask.Orientation(lattice='cI').related('Bain')
|
||||
Crystal family: cubic
|
||||
Bravais lattice: cF
|
||||
a=1 m, b=1 m, c=1 m
|
||||
α=90°, β=90°, γ=90°
|
||||
Quaternions of shape (3,)
|
||||
[[0.924 0.383 0.000 0.000]
|
||||
[0.924 0.000 0.383 0.000]
|
||||
[0.924 0.000 0.000 0.383]]
|
||||
|
||||
"""
|
||||
lattice,o = self.relation_operations(model)
|
||||
|
|
|
|||
|
|
@ -102,3 +102,11 @@ class TestCrystal:
|
|||
assert [len(s) for s in crystal.kinematics('twin')['direction']] == length
|
||||
assert [len(s) for s in crystal.kinematics('twin')['plane']] == length
|
||||
|
||||
@pytest.mark.parametrize('crystal', [Crystal(lattice='cF'),
|
||||
Crystal(lattice='cI'),
|
||||
Crystal(lattice='hP'),
|
||||
Crystal(lattice='tI',c=1.2)])
|
||||
def test_related(self,crystal):
|
||||
for r in crystal.orientation_relationships:
|
||||
crystal.relation_operations(r)
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue