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

cm1 (1) 11 
--4-2-r''-s''-
21-r''-s''
 [r'']      
--4+2r'''+s'''-
21+r'''+s'''
 [r''']      

Reduced general OD Family Symbol

cm1 (1) 11 
--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,z1
-x,y,zm
x+1/2,y+1/2,ztC
-x+1/2,y+1/2,zb

Special positions:

x,y,z
0,y,z

Centring vectors:

(1/2,1/2,0)

Special parameters

Special parameters for σ-POs (left)

  1. (general)
    Codes: general
    1. No subparameters.
  2. r''=0 (reduced)
    Codes: reduced
    1. No subparameters.
  3. r''=r, s''=s+l, l∈ℤ (user)
    Codes: user-1, user-2
    1. l=0
  4. s''=-r''+n/2, n∈ℤ (special)
    Codes: nfz2-2-1 (2r''+s'' [110] x,x-r''/2+s''/2,-1/2)
    1. n=0
    2. n=1

Special parameters for σ-POs (right)

  1. (general, reduced)
    Codes: general, reduced
    1. No subparameters.
  2. r'''=r', s'''=s'+l, l∈ℤ (user)
    Codes: user-1, user-2
    1. l=0
  3. s'''=-r'''+n/2, n∈ℤ (special)
    Codes: nfz2-2-1 (2r'''+s''' [110] x,x-r'''/2+s'''/2,1/2)
    1. n=0
    2. n=1