Demo

You entered the OD groupoid family symbol: { (-3^+) -1 -1} [r,s] p(3)11 { (-3^-) -1 -1} [r',s']

The OD groupoid family parsed fine.

General OD Family Symbol

p (3) 11 
3-11
3+
 [r'',s'']   
3+11
3-
 [r''',s''']   

Reduced general OD Family Symbol

p (3) 11 
3-11
3+
 [r'',s'']   
3+11
3-
 [r''',s''']   

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:3 (S6)
Crystal system:trigonal
Layer system:hexagonal
Common lattice:same
Common lattice size (rel. to global):1
Layer planes:(001)
c0(0,0,1)
Global lattice restriction:ab=-a2/2, |b|=|a|
User supplied lattice restriction:none
Lattice restriction derived from layers:ab=-a2/2, |b|=|a|

Layer Data

Layer 0:

Type:Layer group
Symbol:p(3)11
Crystal system:trigonal
Layer system:hexagonal
Polarity:polar
Lattice restriction (instrinsic):ab=-a2/2, |b|=|a|
Lattice restriction (extrinsic):ab=-a2/2, |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):3
Order (modulo global lattice):3
Order (modulo common lattice):3
Floating origin:0,0,z

Symmetry operations:

x,y,z1
-y,x-y,z3+
-x+y,-x,z3-

Special positions:

x,y,z
0,0,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (left)

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

Special parameters for σ-POs (right)

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