Demo

You entered the OD groupoid family symbol: cm2(e) { 2_r n_(2,-1+r) (2_2)} [-,s]

The OD groupoid family parsed fine.

General OD Family Symbol

cm2 (e)  
⎰2r'n2,-1+r'⎛22⎞⎱
⎱21+r'n2,r'⎝⎠⎰
  [s']   

Reduced general OD Family Symbol

cm2 (e)  
⎰2r'n2,-1+r'⎛22⎞⎱
⎱21+r'n2,r'⎝⎠⎰
  [0]   

General Data

OD family of layers

Kinds of layers:N=1
Category:I (single)
Pointgroup:mmm (D2h)
Crystal system:orthorhombic
Layer system:rectangular
Common lattice:same
Common lattice size (rel. to global):1
Layer planes:(001)
c0(0,0,1)
Global lattice restriction:ab=0
User supplied lattice restriction:none
Lattice restriction derived from layers:ab=0

Layer Data

Layer 0:

Type:Layer group
Symbol:cm2(e)
Crystal system:orthorhombic
Layer system:rectangular
Polarity:non-polar
Lattice restriction (instrinsic):ab=0
Lattice restriction (extrinsic):ab=0
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):8
Order (modulo global lattice):8
Order (modulo common lattice):8
Floating origin:0,y,0

Symmetry operations:

x,y,z1
-x+1/2,y,zm
-x,y,-z2
x+1/2,y,-za
x+1/2,y+1/2,ztC
-x,y+1/2,zb
-x+1/2,y+1/2,-z21
x,y+1/2,-zb

Special positions:

x,y,z
1/4,y,z
0,y,0

Centring vectors:

(1/2,1/2,0)

Special parameters

Special parameters for σ-POs (right)

  1. (general)
    Codes: general
    1. No subparameters.
  2. s'=0 (reduced)
    Codes: reduced
    1. No subparameters.
  3. r'=r+l', s'=s, l'∈ℤ (user)
    Codes: user-1, user-2, user-3, user-4
    1. l'=0
    2. l'=1
  4. r'=n, n∈ℤ (special)
    Codes: nfz1-2-2 (m [100] 1/4,y,z)
    1. n=0
    2. n=1