Demo

You entered the OD groupoid family symbol: { - 2_(-s) (n_(-r,-s))} pm1(1) { - 2_(s') (n_(r',s'))}

The OD groupoid family parsed fine.

General OD Family Symbol

pm1 (1)  
{-2-s''(n-r'',-s'')}
{-2s'''(nr''',s''')}

Reduced general OD Family Symbol

pm1 (1)  
{-2-s''(n-r'',-s'')}
{-2s'''(nr''',s''')}

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:m2m (C2v)
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:pm1(1)
Crystal system:monoclinic
Layer system:rectangular
Polarity: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):2
Order (modulo global lattice):2
Order (modulo common lattice):2
Floating origin:0,y,z

Symmetry operations:

x,y,z1
-x,y,zm

Special positions:

x,y,z
0,y,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (left)

  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, m∈ℤ (special)
    Codes: nfz1-2-2 (m [100] 0,y,z)
    1. m=0
    2. m=1
  4. s''=n, n∈ℤ (special)
    Codes: nfz2-1-1 (2s'' [010] r''/4,y,-1/2)
    1. n=0
    2. n=1
  5. r''=m, s''=n, m,n∈ℤ (special)
    Codes: nfz2-2-1 (nr'',s'' [001] x,y,-1/2)
    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, 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, m∈ℤ (special)
    Codes: nfz1-2-2 (m [100] 0,y,z)
    1. m=0
    2. m=1
  4. s'''=n, n∈ℤ (special)
    Codes: nfz2-1-1 (2s''' [010] r'''/4,y,1/2)
    1. n=0
    2. n=1
  5. r'''=m, s'''=n, m,n∈ℤ (special)
    Codes: nfz2-2-1 (nr''',s''' [001] x,y,1/2)
    1. m=0, n=0
    2. m=1, n=0
    3. m=0, n=1
    4. m=1, n=1