Demo

You entered the OD groupoid family symbol: { - - - (-) 2_(-s) - -} [r,-] p111(1)111 { - 2_(r'+s') - (-) - - -} [-r',-]

The OD groupoid family parsed fine.

General OD Family Symbol

p111 (1) 111 
{---(-)2-s''--}
 [r'']        
{-2r'''+s'''-(-)---}
 [-r''']        

Reduced general OD Family Symbol

p111 (1) 111 
{---(-)2-s''--}
 [0]        
{-2s'''-(-)---}
 [0]        

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:622 (a'=-a-b) (D6)
Crystal system:hexagonal
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:p11(1)
Crystal system:triclinic
Layer system:oblique
Polarity:polar
Lattice restriction (instrinsic):none
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):1
Order (modulo global lattice):1
Order (modulo common lattice):1
Floating origin:x,y,z

Symmetry operations:

x,y,z1

Special positions:

x,y,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (left)

  1. (general)
    Codes: general
    1. No subparameters.
  2. r''=0 (reduced)
    Codes: reduced
    1. No subparameters.
  3. r''=r, s''=s+l, l∈ℤ (user)
    Codes: user-1
    1. l=0
  4. s''=n, n∈ℤ (special)
    Codes: nfz2-1-1 (2s'' [120] x,2x-r''+s''/2,-1/2)
    1. n=0

Special parameters for σ-POs (right)

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