(I think) these matrices are roughly 180 degrees apart, so they may just 
correspond to different signs of the axes
Phil

On 28 Dec 2014, at 21:37, Igor Petrik <petr...@illinois.edu> wrote:

> I am working on a small project which requires me to obtain the proper 
> orientation of a crystal lattice with respect to the gonistat and source. I 
> have until now successfully used the matrices from Mosflm and DENZO, which 
> are consistent with each other and define the orientation of the reciprocal 
> lattice in the lab space when the spindle is at 0deg.
> 
> I am trying to use the orientation computed by XDS, but this seems to not be 
> consistent with the others. Here is an example:
> 
> mosflm .mat file:
>  -0.00458796 -0.01054146 -0.01052990
>   0.00600652  0.01617284 -0.00696834
>   0.02352343 -0.00618559 -0.00027442
>        0.000       0.000       0.000
>   -0.1856881  -0.5200068  -0.8337343
>    0.2431015   0.7978011  -0.5517381
>    0.9520617  -0.3051332  -0.0217278
>      39.6412     48.3160     77.5507     90.0000     90.0000     90.0000
>        0.000       0.000       0.000
> SYMM P222      
> 
> (top part is reciprocal matrix in the format:
>  a*x  b*x  c*x
>  a*y  b*y  c*y
>  a*z  b*z  c*z
> where x is the x-ray beam axis and z is the spindle axis)
> 
> DENZO (HKL2000) gives an equivalent matrix.
> 
> XDS orientation parameters:
> CORRECT.LP
> ...
>  REFINED VALUES OF DIFFRACTION PARAMETERS DERIVED FROM  30955 INDEXED SPOTS
>  REFINED PARAMETERS:   DISTANCE BEAM ORIENTATION CELL AXIS
>  STANDARD DEVIATION OF SPOT    POSITION (PIXELS)     0.70
>  STANDARD DEVIATION OF SPINDLE POSITION (DEGREES)    0.08
>  SPACE GROUP NUMBER     16
>  UNIT CELL PARAMETERS     39.528    48.153    77.542  90.000  90.000  90.000
>  E.S.D. OF CELL PARAMETERS  4.0E-02 3.3E-02 3.8E-02 0.0E+00 0.0E+00 0.0E+00
>  REC. CELL PARAMETERS   0.025299  0.020767  0.012896  90.000  90.000  90.000
>  COORDINATES OF UNIT CELL A-AXIS   -37.650    11.269    -4.236
>  COORDINATES OF UNIT CELL B-AXIS    14.624    41.546   -19.461
>  COORDINATES OF UNIT CELL C-AXIS    -1.764   -32.374   -70.439
>  CRYSTAL MOSAICITY (DEGREES)     0.211
>  LAB COORDINATES OF ROTATION AXIS  0.999962  0.007232 -0.004834
>  DIRECT BEAM COORDINATES (REC. ANGSTROEM)   0.003134  0.005401  1.020962
>  DETECTOR COORDINATES (PIXELS) OF DIRECT BEAM    1230.87   1260.93
>  DETECTOR ORIGIN (PIXELS) AT                     1226.25   1252.96
>  CRYSTAL TO DETECTOR DISTANCE (mm)       259.04
>  LAB COORDINATES OF DETECTOR X-AXIS  1.000000  0.000000  0.000000
>  LAB COORDINATES OF DETECTOR Y-AXIS  0.000000  1.000000  0.000000
> ...
> 
> (XDS defines spindle as X and beam as Z)
> 
> Converted to reciprocal lattice orientation matrix in mosflm axis conventions:
> (output from xds2mos; manual calculation is consistent with this output)
>  -0.00273114 -0.00809777 -0.01150308
>  -0.00724876 -0.01754758  0.00521075
>  -0.02353677  0.00634416 -0.00027012
>        0.000       0.000       0.000
>  -0.11022162 -0.39811300 -0.91068616
>  -0.29254071 -0.86269689  0.41252918
>  -0.94988163  0.31189970 -0.02138535
>      39.5280     48.1530     77.5420     90.0000     90.0000     90.0000
>        0.000       0.000       0.000
> 
> 
> As you can see they are different. You can note that the component of each 
> vector along the mosflm-Z (spindle) axis is consistent, suggesting that it is 
> only the angle of rotation around the spindle axis that is inconsistent 
> between the two. I know that for mosflm and DENZO the orientation matrix 
> defines the orientation of the reciprocal lattice when the spindle is at 0 
> deg. XDS seems to be using a different reference point. Why is this and what 
> is the proper way to obtain the absolute reciprocal orientation at 0 deg from 
> XDS?
> 
> (If anyone wants to test this on their own, I can provide the frames I used 
> to obtain these files.)
> 
> Thanks,
> - Igor Petrik
> University of Illinois
> 

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