Space group determination
In case of a crystal with an unknown space group (SPACE_GROUP_NUMBER=0 in XDS.INP), XDS (since version June 2008) helps the user in determination of the correct space group, by suggesting possible space groups compatible with the lattice symmetry of the data, and by calculating the Rmeas for these space groups.
Space group selected by XDS: ambiguous with respect to enantiomorph and screw axes
XDS (or rather, the CORRECT step) makes an attempt to pick the correct space group automatically: it chooses that space group which has the highest symmetry (thus yielding the lowest number of unique reflections) and still a tolerable Rmeas compared to the Rmeas the data have in any space group (which is most likely a low-symmetry space group - often P1).
In many cases the automatic choice is the correct one, and re-running the CORRECT step is then not necessary. However, neither the correct enantiomorph nor screw axes (see below) are determined automatically by XDS.
Table of space groups to consider based on CORRECT suggestion
| If CORRECT suggests | it could just as well be | Comment |
|---|---|---|
| 1 | - | |
| 3 | 4 | screw axis listing lets you decide |
| 5 | - | |
| 16 | 17, 18, 19 | screw axis listing lets you decide |
| 21 | 20 | screw axis listing does not let you decide |
| 22 | - | |
| 23 | 24 | screw axis listing does not let you decide |
| 75 | 76, 77, 78 | screw axis listing lets you decide, except between 76/78 enantiomorphs |
| 89 | 90, 91, 92, 93, 94, 95, 96 | screw axis listing lets you decide, except between 91/95 and 92/96 enantiomorphs |
| 79 | 80 | screw axis listing lets you decide |
| 97 | 98 | screw axis listing lets you decide |
| 143 | 144, 145 | screw axis listing lets you decide, except between 144/145 enantiomorphs |
| 146 | - | |
| 149 | 151, 153 | screw axis listing lets you decide, except between 151/153 enantiomorphs |
| 150 | 152, 154 | screw axis listing lets you decide, except between 152/154 enantiomorphs |
| 155 | - | |
| 168 | 169, 170, 171, 172, 173 | screw axis listing lets you decide, except between 169/170 and 171/172 enantiomorphs |
| 177 | 178, 179, 180, 181, 182 | screw axis listing lets you decide, except between 178/179 and 180/181 enantiomorphs |
| 195 | 198 | screw axis listing lets you decide |
| 196 | - | |
| 197 | 199 | screw axis listing does not let you decide |
| 207 | 208, 212, 213 | screw axis listing lets you decide, except between 212/213 enantiomorphs |
| 209 | 210 | screw axis listing lets you decide |
| 211 | 214 | screw axis listing lets you decide |
Attention: this table was set up on February 15, 2015 and has been not verified by anyone.
Space group selected by user
Even in case the space group selected by XDS should be incorrect, the resulting list (in CORRECT.LP) should give the user enough information to pick the correct space group herself. The user may then put suitable lines with SPACE_GROUP_NUMBER=, UNIT_CELL_CONSTANTS= into XDS.INP and re-run the CORRECT step to obtain the desired result. (The REIDX= line is no longer required; XDS figures the matrix out.)
Influencing the selection by XDS
new parameters
The automatic choice is influenced by a number of decision constants that may be put into XDS.INP but which have defaults as indicated below:
- MAX_CELL_AXIS_ERROR= 0.03 ! relative deviation of unconstrained cell axes from those constrained by lattice symmetry
- MAX_CELL_ANGLE_ERROR= 3.0 ! degrees deviation of unconstrained cell angles from those constrained by lattice symmetry
- TEST_RESOLUTION_RANGE= 10.0 5.0 ! resolution range for calculation of Rmeas
- MIN_RFL_Rmeas= 50 ! at least this number of reflections are required
- MAX_FAC_Rmeas= 2.0 ! factor to multiply the lowest Rmeas with to still be acceptable
The user may experiment with adjusting these values to make the automatic mode of space group determination more successful. However, it is much easier to just input the space group and cell parameters that the user thinks are correct.
alternative indexing
As the old REIDX= input has lost its importance, it is useful to keep in mind that there are two ways to have XDS choose an indexing consistent with some other dataset:
- using REFERENCE_DATA_SET= ! see also REFERENCE_DATA_SET
- using UNIT_CELL_A-AXIS=, UNIT_CELL_B-AXIS=, UNIT_CELL_C-AXIS= from a previous data collection run with the same crystal (see [1])
Screw axes
The current version makes no attempt to find out about screw axes. It is assumed that the user checks the table in CORRECT.LP entitled "REFLECTIONS OF TYPE H,0,0 0,K,0 0,0,L OR EXPECTED TO BE ABSENT (*)", and identifies whether the intensities follow the rules
- a two-fold screw axis along an axis in reciprocal space (theoretically) results in zero intensity for the odd-numbered (e.g. 0,K,0 with K = 2*n + 1) reflections, leaving the reflections of type 2*n as candidates for medium to strong reflections (they don't have to be strong, but they may be strong!).
- similarly, a three-fold screw axis (theoretically) results in zero intensity for the reflections of type 3*n+1 and 3*n+2, and allows possibly strong 3*n reflections . 31 and 32 cannot be distinguished.
- analogously for four-fold and six-fold axes.
Once screw axes have been deduced from the patterns of intensities along H,0,0 0,K,0 0,0,L , the resulting space group should be identified in the lists of space group numbers printed in IDXREF.LP and CORRECT.LP, and the CORRECT step can be re-run. Those reflections that should theoretically have zero intensity are then marked with a "*" in the table. In practice, they should be (hopefully quite) weak, or even negative.
Notes
- There is still the old Wiki page Old way of Space group determination
- To prevent XDS from trying to find a better space group than the one with the lowest Rmeas (often P1), you could just use MAX_FAC_Rmeas= 1.0
- Space group determination is not a trivial task. There is a number of difficulties that arise -
- ambiguity of hand of screw axis (e.g. 31 versus 32, or 62 versus 64)
- twinning may make a low-symmetry space group look like a high-symmetry one