Demo

You entered the OD groupoid family symbol: { (-4^+) -1 -1} p(4)11 { (-4^-) -1 -1}

The OD groupoid family parsed fine.

General OD Family Symbol

p (4) 11 
n-r,-s11
4-
4+
nr',s'11
4+
4-

Reduced general OD Family Symbol

p (4) 11 
n-r,-s11
4-
4+
nr',s'11
4+
4-

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:4/m (C4h)
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:p(4)11
Crystal system:tetragonal
Layer system:square
Polarity:polar
Lattice restriction (instrinsic):ab=0, |b|=|a|
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:0,0,z

Symmetry operations:

x,y,z1
-y,x,z4+
-x,-y,z2
y,-x,z4-

Special positions:

x,y,z
0,0,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (left)

  1. (general, user, reduced)
    Codes: general, reduced, user-1
    1. No subparameters.
  2. r=-m+n, s=m+n, m,n∈ℤ (special)
    Codes: nfz1-2-2 (4+ [001] 0,0,z), nfz1-4-4 (4- [001] 0,0,z)
    1. m=0, n=0
    2. m=0, n=1
  3. r=m, s=n, m,n∈ℤ (special)
    Codes: nfz1-3-3 (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

Special parameters for σ-POs (right)

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