Demo

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

The OD groupoid family parsed fine.

General OD Family Symbol

pba (2)  
{2-1-r''2-1-s''(n-r'',-s'')}
{21+r'''21+s'''(nr''',s''')}

Reduced general OD Family Symbol

pba (2)  
{2-1-r''2-1-s''(n-r'',-s'')}
{21+r'''21+s'''(nr''',s''')}

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:mmm (D2h)
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:pba(2)
Crystal system:orthorhombic
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):4
Order (modulo global lattice):4
Order (modulo common lattice):4
Floating origin:0,0,z

Symmetry operations:

x,y,z1
-x+1/2,y+1/2,zb
x+1/2,-y+1/2,za
-x,-y,z2

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