Demo

You entered the OD groupoid family symbol: { 2_(-1-r) 2_(-1-s) (-4^+) 2_(-1-r/2-s/2) 2_(-r/2+s/2)} pba(4)mm { 2_(1+r') 2_(1+s') (-4^-) 2_(1+r'/2+s'/2) 2_(r'/2-s'/2)}

The OD groupoid family parsed fine.

General OD Family Symbol

pba (4) mm 
21-r''2-1-s''n-r'',-s''2-r''/2-s''/221-r''/2+s''/2
4-
4+
2-1+r'''21+s'''nr''',s'''2r'''/2+s'''/22-1+r'''/2-s'''/2
4+
4-

Reduced general OD Family Symbol

pba (4) mm 
21-r''2-1-s''n-r'',-s''2-r''/2-s''/221-r''/2+s''/2
4-
4+
2-1+r'''21+s'''nr''',s'''2r'''/2+s'''/22-1+r'''/2-s'''/2
4+
4-

General Data

OD family of layers

Kinds of layers:N=1
Category:III (single)
Pointgroup:4/mmm (D4h)
Crystal system:tetragonal
Layer system:square
Common lattice:same
Common lattice size (rel. to global):1
Layer planes:(001)
c0(0,0,1)
Global lattice restriction:ab=0, |b|=|a|
User supplied lattice restriction:none
Lattice restriction derived from layers:ab=0, |b|=|a|

Layer Data

Layer 0:

Type:Layer group
Symbol:p(4)bm
Crystal system:tetragonal
Layer system:square
Polarity:polar
Lattice restriction (instrinsic):ab=0, |b|=|a|
Lattice restriction (extrinsic):ab=0, |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):8
Order (modulo global lattice):8
Order (modulo common lattice):8
Floating origin:0,0,z

Symmetry operations:

x,y,z1
-y,x,z4+
-x+1/2,y+1/2,zb
-y+1/2,-x+1/2,zm
-x,-y,z2
x+1/2,-y+1/2,za
y+1/2,x+1/2,zn0,1
y,-x,z4-

Special positions:

x,y,z
0,0,z
x,-x+1/2,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+n, s''=m+n, m,n∈ℤ (special)
    Codes: nfz1-2-2 (4+ [001] 0,0,z), nfz1-8-8 (4- [001] 0,0,z)
    1. m=0, n=0
    2. m=0, n=1
  4. r''=m, m∈ℤ (special)
    Codes: nfz1-3-6 (b [100] 1/4,y,z)
    1. m=0
    2. m=1
  5. s''=-r''+2n, n∈ℤ (special)
    Codes: nfz1-4-7 (m [110] x,-x+1/2,z)
    1. n=0
  6. r''=m, s''=n, m,n∈ℤ (special)
    Codes: nfz1-5-5 (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
  7. s''=n, n∈ℤ (special)
    Codes: nfz1-6-3 (a [010] x,1/4,z)
    1. n=0
    2. n=1
  8. s''=r''+2n, n∈ℤ (special)
    Codes: nfz1-7-4 (n0,1 [110] x,x,z)
    1. n=0

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+n, s'''=m+n, m,n∈ℤ (special)
    Codes: nfz1-2-2 (4+ [001] 0,0,z), nfz1-8-8 (4- [001] 0,0,z)
    1. m=0, n=0
    2. m=0, n=1
  4. r'''=m, m∈ℤ (special)
    Codes: nfz1-3-6 (b [100] 1/4,y,z)
    1. m=0
    2. m=1
  5. s'''=-r'''+2n, n∈ℤ (special)
    Codes: nfz1-4-7 (m [110] x,-x+1/2,z)
    1. n=0
  6. r'''=m, s'''=n, m,n∈ℤ (special)
    Codes: nfz1-5-5 (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
  7. s'''=n, n∈ℤ (special)
    Codes: nfz1-6-3 (a [010] x,1/4,z)
    1. n=0
    2. n=1
  8. s'''=r'''+2n, n∈ℤ (special)
    Codes: nfz1-7-4 (n0,1 [110] x,x,z)
    1. n=0