Difference between revisions of "ADF symmetry options"
(→Hexagonal prisms) |
(→Hexagonal prisms) |
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| 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 |
