Demo

You entered the OD groupoid family symbol: { -1 -1 (-4^+) -1 -1} p11(4)11 { 2_(r') 2_(s') (-) 2_(r'/2+s'/2) 2_(r'/2-s'/2)}

The OD groupoid family parsed fine.

General OD Family Symbol

p11 (4) 11 
11n-r,-s11
4-
4+
{2r''2s''(-)2r''/2+s''/22r''/2-s''/2}

Reduced general OD Family Symbol

p11 (4) 11 
11n-r,-s11
4-
4+
{2r''2s''(-)2r''/2+s''/22r''/2-s''/2}

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)11
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):4
Order (modulo global lattice):4
Order (modulo common lattice):4
Floating origin:0,0,z

Symmetry operations:

x,y,z1
-y,x,z4+
-x,-y,z2
y,-x,z4-

Special positions:

x,y,z
0,0,z

Centring vectors:

none

Special parameters

Special parameters for σ-POs (left)

  1. (general, user, reduced)
    Codes: general, reduced, user-1
    1. No subparameters.
  2. r=-m+n, s=m+n, m,n∈ℤ (special)
    Codes: nfz1-2-2 (4+ [001] 0,0,z), nfz1-4-4 (4- [001] 0,0,z)
    1. m=0, n=0
    2. m=0, n=1
  3. r=m, s=n, m,n∈ℤ (special)
    Codes: nfz1-3-3 (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+n, s''=m+n, m,n∈ℤ (special)
    Codes: nfz1-2-4 (4+ [001] 0,0,z), nfz1-4-2 (4- [001] 0,0,z)
    1. m=0, n=0
    2. m=0, n=1
  4. r''=m, s''=n, m,n∈ℤ (special)
    Codes: nfz1-3-3 (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
  5. r''=m, m∈ℤ (special)
    Codes: nfz2-1-1 (2r'' [100] x,s''/4,1/2)
    1. m=0
    2. m=1
  6. s''=n, n∈ℤ (special)
    Codes: nfz2-2-1 (2s'' [010] r''/4,y,1/2)
    1. n=0
    2. n=1
  7. s''=r''+2n, n∈ℤ (special)
    Codes: nfz2-3-1 (2r''/2-s''/2 [110] x,-x+r''/4+s''/4,1/2)
    1. n=0
  8. s''=-r''+2n, n∈ℤ (special)
    Codes: nfz2-4-1 (2r''/2+s''/2 [110] x,x-r''/4+s''/4,1/2)
    1. n=0