Demo

You entered the OD groupoid family symbol: pba(a) { 2_r/n_(1+s,2) 2_(1+s)/n_(2,1+r) (2_2/n_(1+r,s))}

The OD groupoid family parsed fine.

General OD Family Symbol

pba (a)  
{21+r'/n1+s',221+s'/n2,r'(22/nr',s')}

Reduced general OD Family Symbol

pba (a)  
{21+r'/n1+s',221+s'/n2,r'(22/nr',s')}

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:pba(a)
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:0,0,0

Symmetry operations:

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

Special positions:

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

Centring vectors:

none

Special parameters

Special parameters for σ-POs (right)

  1. (general, reduced)
    Codes: general, reduced
    1. No subparameters.
  2. r'=1+r+2l'''', s'=s+2l''''', l'''',l'''''∈ℤ (user)
    Codes: user-1
    1. l''''=0, l'''''=0
  3. r'=m, m∈ℤ (special)
    Codes: nfz1-2-2 (b [100] 0,y,z)
    1. m=0
    2. m=1
  4. s'=n, n∈ℤ (special)
    Codes: nfz1-3-3 (a [010] x,1/4,z)
    1. n=0
    2. n=1
  5. r'=m, s'=n, m,n∈ℤ (special)
    Codes: nfz1-5-5 (2 [001] 1/4,0,z)
    1. m=0, n=0
    2. m=1, n=0
    3. m=0, n=1
    4. m=1, n=1