The 400 OD familes

The following lists the 400 possible OD families composed of layers of one kind with all layers possessing the same layer lattice. There are two ways of display: As a list, sorted by crystal system (default), by OD-family category or by the layer group. Alternatively as three tables for each category, like in the Grundzüge.

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Warning: this list contains errors. I'm working on a fix.

For literature on the derivation of the 400 OD families see:

Display style: List Table

Sort by: Crystal system Category Layer group

Category I (single) (226 items)

triclinic / oblique (1 items)

1 (Ci) (1 items)

monoclinic / oblique (7 items)

11m (Cs) (2 items)

112/m (C2h) (5 items)

monoclinic / rectangular (13 items)

112 (C2) (3 items)

112/m (C2h) (10 items)

orthorhombic / rectangular (64 items)

m2m (C2v) (20 items)

222 (D2) (7 items)

mmm (D2h) (37 items)

tetragonal / square (75 items)

4 (S4) (1 items)

4/m (C4h) (10 items)

4mm (C4v) (2 items)

422 (D4) (12 items)

4/mmm (D4h) (39 items)

42m (D2d) (11 items)

trigonal / hexagonal (17 items)

3 (S6) (2 items)

32 (a'=2a+b,b'=-a+b) (D3) (5 items)

3m (a'=a+2b,b'=-2a-b) (D3d) (10 items)

hexagonal / hexagonal (49 items)

6 (C3h) (3 items)

62m (a'=a+2b,b'=-2a-b) (D3h) (12 items)

6/m (C6h) (8 items)

622 (a'=-a-b) (D6) (9 items)

6/mmm (D6h) (17 items)

Category II (single) (53 items)

triclinic / oblique (1 items)

1 (C1) (1 items)

monoclinic / oblique (2 items)

112 (C2) (2 items)

monoclinic / rectangular (5 items)

11m (Cs) (5 items)

orthorhombic / rectangular (9 items)

m2m (C2v) (9 items)

tetragonal / square (14 items)

4 (C4) (4 items)

4mm (C4v) (10 items)

trigonal / hexagonal (9 items)

3 (C3) (3 items)

3m (a'=2a+b,b'=-a+b) (C3v) (6 items)

hexagonal / hexagonal (13 items)

6 (C6) (6 items)

6mm (a'=2a+b,b'=-a+b) (C6v) (7 items)

Category III (single) (119 items)

triclinic / oblique (1 items)

1 (Ci) (1 items)

monoclinic / oblique (3 items)

11m (Cs) (1 items)

112/m (C2h) (2 items)

monoclinic / rectangular (7 items)

112 (C2) (2 items)

112/m (C2h) (5 items)

orthorhombic / rectangular (18 items)

m2m (C2v) (5 items)

222 (D2) (4 items)

mmm (D2h) (9 items)

tetragonal / square (34 items)

4 (S4) (2 items)

4/m (C4h) (4 items)

4mm (C4v) (7 items)

422 (D4) (4 items)

4/mmm (D4h) (13 items)

42m (D2d) (4 items)

trigonal / hexagonal (17 items)

3 (S6) (3 items)

32 (a'=2a+b,b'=-a+b) (D3) (6 items)

3m (a'=a+2b,b'=-2a-b) (D3d) (8 items)

hexagonal / hexagonal (39 items)

6 (C3h) (3 items)

62m (a'=a+2b,b'=-2a-b) (D3h) (10 items)

6/m (C6h) (7 items)

622 (a'=-a-b) (D6) (6 items)

6/mmm (D6h) (13 items)