Demo

You entered the OD groupoid family symbol: p2_12_1(2) { 2_(1+r) 2_(1+s) (2_2)}

The OD groupoid family parsed fine.

General OD Family Symbol

p2121 (2)  
{2-1+r'2-1+s'(22)}

Reduced general OD Family Symbol

p2121 (2)  
{2-1+r'2-1+s'(22)}

General Data

OD family of layers

Kinds of layers:N=1
Category:I (single)
Pointgroup:222 (D2)
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:p2121(2)
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):4
Order (modulo global lattice):4
Order (modulo common lattice):4
Floating origin:0,0,z

Symmetry operations:

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

Special positions:

x,y,z
0,0,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (right)

  1. (general, reduced)
    Codes: general, reduced
    1. No subparameters.
  2. r'=r+2l, s'=s+2l', l,l'∈ℤ (user)
    Codes: user-1
    1. l=0, l'=0
  3. r'=m, s'=n, m,n∈ℤ (special)
    Codes: nfz1-4-4 (2 [001] 0,0,z)
    1. m=0, n=0
    2. m=1, n=0
    3. m=0, n=1
    4. m=1, n=1
  4. r'=m, m∈ℤ (special)
    Codes: nfz2-2-1 (2-1+r' [100] x,-1/4+s'/4,1/2)
    1. m=0
    2. m=1
  5. s'=n, n∈ℤ (special)
    Codes: nfz2-3-1 (2-1+s' [010] -1/4+r'/4,y,1/2)
    1. n=0
    2. n=1