Difference between revisions of "ADF symmetry options"

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(Hexagonal prisms)
(Hexagonal prisms)
Line 79: Line 79:
 
! Equivalent surfaces
 
! Equivalent surfaces
 
! Equivalent corners
 
! Equivalent corners
 +
! Equivalent sign moments
 +
! Zero sign moments
 
! Symmetry axis
 
! Symmetry axis
 
! Note
 
! Note
 
|-   
 
|-   
 
| <tt>0, NO, NONE</tt>
 
| <tt>0, NO, NONE</tt>
 +
| -
 +
| -
 
| -
 
| -
 
| -
 
| -
Line 91: Line 95:
 
| 1-2-3-4-5-6
 
| 1-2-3-4-5-6
 
| 1-2-3-4-5-6
 
| 1-2-3-4-5-6
 +
| -
 +
| 1, 2, 3, 4, 5, 6
 
| -
 
| -
 
| useful for 30 degree periodic symmetric hexagonal lattices
 
| useful for 30 degree periodic symmetric hexagonal lattices
Line 97: Line 103:
 
| 2-6, 3-5
 
| 2-6, 3-5
 
| 1-4, 2-3, 5-6
 
| 1-4, 2-3, 5-6
 +
| 2-6, 3-5
 +
| 1, 4
 
| from side 1 to side 4
 
| from side 1 to side 4
 
|
 
|
Line 103: Line 111:
 
| 1-2, 3-6, 4-5
 
| 1-2, 3-6, 4-5
 
| 1-3, 4-6
 
| 1-3, 4-6
 +
| 1-2, 3-6, 4-5
 +
| -
 
| from corner 2 to corner 5
 
| from corner 2 to corner 5
 
|
 
|
Line 109: Line 119:
 
| 1-3, 4-6
 
| 1-3, 4-6
 
| 1-2, 3-6, 4-5
 
| 1-2, 3-6, 4-5
 +
| 1-3, 4-6
 +
| 2, 5
 
| from side 2 to side 5
 
| from side 2 to side 5
 
|
 
|
Line 115: Line 127:
 
| 1-4, 2-3, 5-6
 
| 1-4, 2-3, 5-6
 
| 2-6, 3-5
 
| 2-6, 3-5
 +
| 1-4, 2-3, 5-6
 +
| -
 
| from corner 1 to corner 4
 
| from corner 1 to corner 4
 
|
 
|
Line 121: Line 135:
 
| 2-4, 1-5
 
| 2-4, 1-5
 
| 1-6, 2-5, 3-4
 
| 1-6, 2-5, 3-4
 +
| 2-4, 1-5
 +
| 3, 6
 
| from side 3 to side 6
 
| from side 3 to side 6
 
|
 
|
Line 127: Line 143:
 
| 1-6, 2-5, 3-4
 
| 1-6, 2-5, 3-4
 
| 1-5, 2-4
 
| 1-5, 2-4
 +
| 1-6, 2-5, 3-4
 +
| -
 
| from corner 3 to corner 6
 
| from corner 3 to corner 6
 
|
 
|
Line 133: Line 151:
 
| 1-2-3-4-5-6
 
| 1-2-3-4-5-6
 
| 1-3-5, 2-4-6
 
| 1-3-5, 2-4-6
 +
| 1-2-3-4-5-6
 +
| -
 
| -
 
| -
 
| useful for 60 degree periodic symmetric hexagonal lattices
 
| useful for 60 degree periodic symmetric hexagonal lattices
Line 139: Line 159:
 
| 1-3-5, 2-4-6
 
| 1-3-5, 2-4-6
 
| 1-3-5, 2-4-6
 
| 1-3-5, 2-4-6
 +
| 1-3-5, 2-4-6
 +
| -
 
| -
 
| -
 
| useful for 120 degree periodic symmetric hexagonal lattices
 
| useful for 120 degree periodic symmetric hexagonal lattices

Revision as of 07:47, 17 September 2020

Square prism

Notes:

  • Faces and corners are referred to using compass directions, with north oriented in the direction of positive y-axis.
  • Options 2-5 can be understood as mirror symmetries.
  • Symmetry options of sign moments were added in version 2.1.32.
  • Symmetry option 6 were added in version 2.1.32.
Symmetry option Equivalent surfaces Equivalent corners Equivalent sign moments Zero sign moments Symmetry axis
0, NO, NONE - - - - -
1, ALL W-S-E-N NW-NE-SE-SW - N, W, S, E -
2, NS, SN N-S NW-SW, NE-SE N-S W, E from side E to side W
3, NESW, SWNE N-E, S-W SE-NW N-E, S-W - from corner NE to corner SW
4, EW, WE E-W SW-SE, NW-NE E-W N, S from side N to side S
5, NWSE, SENW N-W, S-E NE-SW N-W, S-E - from corner NW to SE
6, NSEW, EWNS N-S, E-W NW-NE-SE-SW N-S, E-W - -

Hexagonal prisms

Notes:

  • The face and corner directions are listed in Assembly discontinuity factors.
  • The corner symmetries have been wrong prior to version 2.1.32. The list below corresponds to the correct values used since version 2.1.32.
  • Symmetry options 8 and 9 were added in version 2.1.32.
  • Options 2-7 can be understood as mirror symmetries
Symmetry option Equivalent surfaces Equivalent corners Equivalent sign moments Zero sign moments Symmetry axis Note
0, NO, NONE - - - - -
1, ALL, 30 1-2-3-4-5-6 1-2-3-4-5-6 - 1, 2, 3, 4, 5, 6 - useful for 30 degree periodic symmetric hexagonal lattices
2 2-6, 3-5 1-4, 2-3, 5-6 2-6, 3-5 1, 4 from side 1 to side 4
3 1-2, 3-6, 4-5 1-3, 4-6 1-2, 3-6, 4-5 - from corner 2 to corner 5
4 1-3, 4-6 1-2, 3-6, 4-5 1-3, 4-6 2, 5 from side 2 to side 5
5 1-4, 2-3, 5-6 2-6, 3-5 1-4, 2-3, 5-6 - from corner 1 to corner 4
6 2-4, 1-5 1-6, 2-5, 3-4 2-4, 1-5 3, 6 from side 3 to side 6
7 1-6, 2-5, 3-4 1-5, 2-4 1-6, 2-5, 3-4 - from corner 3 to corner 6
8, 60 1-2-3-4-5-6 1-3-5, 2-4-6 1-2-3-4-5-6 - - useful for 60 degree periodic symmetric hexagonal lattices
9, 120 1-3-5, 2-4-6 1-3-5, 2-4-6 1-3-5, 2-4-6 - - useful for 120 degree periodic symmetric hexagonal lattices