Demo
You entered the OD groupoid family symbol: { - - (-4^-) 2_(-r-s) -} [r,-] cm1(1)11 { - - (-4^+) 2_(r'+s') -} [r',-]
The OD groupoid family parsed fine.
General OD Family Symbol
| c | m | 1 | | (1) | | 1 | 1 | |
| ⎰ | - | - | ⎛ | 4- | ⎞ | 2-r''-s'' | - | ⎱ |
| ⎱ | | | ⎝ | | ⎠ | 21-r''-s'' | | ⎰ |
| [r''] | | | | | | | | ⎰ | - | - | ⎛ | 4+ | ⎞ | 2r'''+s''' | - | ⎱ |
| ⎱ | | | ⎝ | | ⎠ | 21+r'''+s''' | | ⎰ |
| [r'''] | | | | | | |
Reduced general OD Family Symbol
| c | m | 1 | | (1) | | 1 | 1 | |
| ⎰ | - | - | ⎛ | 4- | ⎞ | 2-s'' | - | ⎱ |
| ⎱ | | | ⎝ | | ⎠ | 21-s'' | | ⎰ |
| [0] | | | | | | | | ⎰ | - | - | ⎛ | 4+ | ⎞ | 2r'''+s''' | - | ⎱ |
| ⎱ | | | ⎝ | | ⎠ | 21+r'''+s''' | | ⎰ |
| [r'''] | | | | | | |
General Data
OD family of layers
| Kinds of layers: | N=1 |
| Category: | III (single) |
| Pointgroup: | 4mm (C4v) |
| Crystal system: | tetragonal |
| Layer system: | square |
| Common lattice: | same |
| Common lattice size (rel. to global): | 1 |
| Layer planes: | (001) |
| c0 | (0,0,1) |
| Global lattice restriction: | ab=0, |b|=|a| |
| User supplied lattice restriction: | none |
| Lattice restriction derived from layers: | ab=0, |b|=|a| |
Layer Data
Layer 0:
| Type: | Layer group |
| Symbol: | cm1(1) |
| Crystal system: | monoclinic |
| Layer system: | rectangular |
| Polarity: | polar |
| Lattice restriction (instrinsic): | ab=0 |
| Lattice restriction (extrinsic): | ab=0, |b|=|a| |
| Lattice (rel. to global): | same |
| Lattice (rel. to common): | same |
| Lattice size (rel. to global): | 1 |
| Lattice size (rel. to common): | 1 |
| Order (modulo lattice): | 4 |
| Order (modulo global lattice): | 4 |
| Order (modulo common lattice): | 4 |
| Floating origin: | 0,y,z |
Symmetry operations:
| x,y,z | 1 |
| -x,y,z | m |
| x+1/2,y+1/2,z | tC |
| -x+1/2,y+1/2,z | b |
Special positions:
x,y,z
0,y,z
Centring vectors:
(1/2,1/2,0)
Special parameters