Demo

You entered the OD groupoid family symbol: { - - - (-6^-) - 2_(-r) -} [r,-] pm11(1)111 { - - - (-6^+) - 2_(r') -} [r',-]

The OD groupoid family parsed fine.

General OD Family Symbol

pm11 (1) 111 
{---(6-)-2-r''-}
 [r'']        
{---(6+)-2r'''-}
 [r''']        

Reduced general OD Family Symbol

pm11 (1) 111 
{---(6-)-2-r''-}
 [r'']        
{---(6+)-2r'''-}
 [r''']        

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:6m2 (D3h)
Crystal system:hexagonal
Layer system:hexagonal
Common lattice:b'=a+2b
Common lattice size (rel. to global):2
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:cb'=a+2bm1(1)
Crystal system:monoclinic
Layer system:rectangular
Polarity:polar
Lattice restriction (instrinsic):ab=0
Lattice restriction (extrinsic):ab=0, |b|=√3|a|
Lattice (rel. to global):b'=a+2b
Lattice (rel. to common):same
Lattice size (rel. to global):2
Lattice size (rel. to common):1
Order (modulo lattice):4
Order (modulo global lattice):2
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. s=0 (reduced)
    Codes: reduced
    1. No subparameters.
  3. r''=r (user)
    Codes: user-1
    1. No subparameters.
  4. r''=n, n∈ℤ (special)
    Codes: nfz2-2-1 (2r'' [210] x,1/2x-r''/4+s/2,-1/2)
    1. n=0

Special parameters for σ-POs (right)

  1. (general, reduced)
    Codes: general, reduced
    1. No subparameters.
  2. r'''=r' (user)
    Codes: user-1
    1. No subparameters.
  3. r'''=n, n∈ℤ (special)
    Codes: nfz2-2-1 (2r''' [210] x,1/2x-r'''/4+s'/2,1/2)
    1. n=0