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Data Processing
     HKL2000
      Mosflm
Data collection and
            processing
•   mount crystal
•   evaluate quality
    •   diffraction quality, resolution, splitting, cryo-protection
•   Auto-index
    •   space group, cell dimensions, strategy for collection,
        mosaicity
•   integrate a series of images
•   scale images together
    •   completeness, Rmerge, systematic absences, I/σI
Image from R-axis IV
            detector
•   detector is square,
    so the corners are
    higher resolution;
    the main limit of
    resolution is the
    radius along the
    vertical and
    horizontal axes
•   backstop appears as
    a white shadow
Bad images
• Always check crystals at 0° and 90° to check
  for splitting, large diffuse reflections, doublets
                                      90° - the splitting is obvious
   0° - image doesn’t diffract very
                                      in the forms of wide, diffuse
   high, but spots are well formed
                                                  spots
• Zoom in enough,
  intensity value of
  each pixel is
  displayed
Peak search

Peak Search
Ask the
program to
search the
image for
reflections.



Accept the
Found reflections
This writes “peaks.file”
Space group prediction
The program               Volume of the primitive cell   559745.
determines the best       Lattice          Metric tensor
                                        distortion index
                                                            Best cell (symmetrized)
                                                            Best cell (without symmetry restrains)
lattice fit to each       primitive cubic         17.70% 88.21 80.46 100.09 66.31 66.75 63.03
                                                          89.59 89.59 89.59 90.00 90.00 90.00
point group. It prints    I centred cubic         11.58% 100.09 88.41 131.41 95.23 104.52 91.61
                                                         106.64 106.64 106.64 90.00 90.00 90.00
the closest real fit to   F centred cubic          7.18% 135.40 131.67 131.41 75.42 82.77 82.91
                                                         132.83 132.83 132.83 90.00 90.00 90.00
the space group           primitive rhombohedral   2.91% 100.09 100.10 104.06 51.28 51.15 47.40
restrictions and then                                    101.42 101.42 101.42 49.94 49.94 49.94
                                                          84.33 84.33 265.57 90.00 90.00 120.00
(in a second line)what    primitive hexagonal     12.90% 80.46 88.21 100.10 88.27 66.30 116.97
                                                          84.33 84.33 100.10 90.00 90.00 120.00
the space groups          primitive tetragonal    16.77% 88.21 80.46 100.09 66.31 66.75 63.03
                                                          84.33 84.33 100.09 90.00 90.00 90.00
restrictions would        I centred tetragonal     7.05% 80.46 104.06 135.40 80.93 90.10 89.88
                                                          92.26 92.26 135.40 90.00 90.00 90.00
actually demand. The      primitive orthorhombic 16.58% 80.46 88.21 100.09 66.75 113.69 116.97
tensor index gives a                                      80.46 88.21 100.09 90.00 90.00 90.00
                          C centred orthorhombic 12.45% 80.46 157.23 100.10 76.14 66.30 89.84
correlation of the fit.   I centred orthorhombic
                                                          80.46 157.23 100.10 90.00 90.00 90.00
                                                   3.76% 80.46 104.06 135.40 80.93 90.10 89.88
                                                          80.46 104.06 135.40 90.00 90.00 90.00

                          F centred orthorhombic   6.36%    80.46 157.23 183.31    74.91    90.00   89.84
                                                            80.46 157.23 183.31    90.00    90.00   90.00

                          primitive monoclinic     12.46%   80.46 100.09   88.21 113.25 116.97      66.31
                                                            80.46 100.09   88.21 90.00 116.97       90.00

                          C centred monoclinic     0.07% 157.23     80.46 104.06   89.88 121.75     90.16
                                                         157.23     80.46 104.06   90.00 121.75     90.00

                          primitive triclinic       0.00%   80.46   88.21 100.09   66.75    66.31     63.03

                          autoindex unit cell   80.46  88.21 100.09  66.75          66.31     63.03
                          crystal rotx, roty, rotz -71.263 116.160 -73.145
                           Autoindex Xbeam, Ybeam 118.97 119.89
Show predicted spots
• Are there spots
  under the
  predictions?
• Are there spots
  which are not
  predicted?
• What are the red
  spots?
use zoom
window and
  ‘remove
pred’ key to
    toggle
predictions
Reflection profiling
• spots are assumed to be Gaussian in shape
• if center is ‘maxed out’, then the curve is
  flattened on top, and the intensity cannot
  be determined accurately
autoindex unit cell   157.23    80.46    104.06     90.00   121.75   90.00

                        crystal rotx, roty, rotz   169.439    -13.341     -22.651

                         Autoindex Xbeam, Ybeam    118.97    119.89

                        position 245 chi**2 x      1.41 y     2.42 pred. decrease:      0.000 *   245 =      0.0
                        partiality 245 chi**2                 0.24 pred. decrease:      0.000 *   245 =      0.0

                        position 852 chi**2 x     2.36 y   1.59 pred. decrease:    0.001 * 852 =             0.5
                        partiality 2788 chi**2             0.90 pred. decrease:    0.000 * 2788 =            0.1
                        CrysZ (beam)        -22.673 shift     0.012 error    0.019
                        CrysY (vertical)    -13.291 shift    -0.054 error    0.013
                        CrysX (spindle)     169.490 shift     0.046 error    0.011
                        Cell, a 157.86     b    80.43    c 104.41 alpha 90.00 beta 122.00 gamma           90.00
                        shifts      0.63        -0.03         0.35                      0.25
                        errors      0.12         0.03         0.04                      0.04
Watch chi**2 values     CassY (vertical)      -0.079 shift    0.001 error    0.043
decrease or level out   CassX (spindle)
                        X beam
                                               0.008 shift
                                             119.001 shift
                                                             -0.002 error
                                                              0.027 error
                                                                             0.039
                                                                             0.011
                        Y beam               119.930 shift    0.039 error    0.009
                        Radial offset          0.012 shift    0.000 error    0.021
                        Angular offset        -0.061 shift   -0.005 error    0.022
                        Crossfire y           -0.001 shift   -0.023 error    0.012
                        Crossfire x            0.022 shift    0.022 error    0.014
                        Crossfire xy           0.020 shift   -0.001 error    0.018



                                       Watch value on end of first
                                       line. This is the value of the
                                       predicted difference if you
                                       were to refine again. At ‘zero’
                                       additional refinement is not as
                                       useful.
Mosaicity
 Mosaicity is a
 measure of how
 wide a spot is
 in phi (rotation
 angle).

          Mos=1.0!


Note that here the image is
from a 0.5 ! rotation. This
is less than the mosaicity.
Only partial reflections are
recorded.
Change mosaicity between refinement “go’s” and refine again.
              Check predictions for reflection coverage
                    Playing with Mosaicity
   The Mosaicity directly effects the rotation angle during data collection. We want to avoid
overlaps (red). If the mosaicity is less than the rotation angle then full reflections are recorded, if
   the rotation angle is less than the mosaicity then all reflections are only partially recorded.
             Mos=2.0!                                                Mos=0.5!
Averaged spot profile in sector   2, 3 (x,y) # of spots     123
                                   Weighted position of the spots    121.111, 173.574 (x,y)
                                     0 0 0 0 0 0 0 0 0 0             0 0 0 0 0 0 0 0          0     0   0   0   0
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
                                     0 0 0 0 0 0 0 0 0 0             0 0 0 0 0 0 0 0          0     0   0   0   0
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
As the image is processed, spot      0 0 0 0 0 0 0 0 0 0
                                     . . . . . . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                     . . . . . . . .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .
profiles are printed. These are      0 0 0 0 0 0 0 0 0 0
                                     . . . . . . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                     . . . . . . . .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .

two dimensions profiles of the       0 0 0 0 0 0 0 0 0 0
                                     . . . . . . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                     . . . . . . . .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .

three dimensional reflections.
                                     0 0 0 0 0 0 0 0 0 0             0 0 0 0 0 0 0 0          0     0   0   0   0
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
                                     0 0 0 0 0 0 0 0 0 0             0 1 1 1 1 0 0 0          0     0   0   0   0
                                     . . . . . . . . . .             - - - . . . . .          .     .   .   .   .
                                     0 0 0 0 0 0 0 1 1 1             1 2 2 2 1 1 1 0          0     0   0   0   0
Background should be 0, the          . . . . . . . . - +
                                     0 0 0 0 0 0 1 1 2 2
                                                                     + + + + - . . .
                                                                     3 5 6 6 4 2 1 1
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0
spots are normalized in these        . . . . . . . - + +
                                     0 0 0 0 0 1 1 2 3 6
                                                                     + + + + + - . .
                                                                    13 20 27 22 10 3 1 1
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0

plots and center should be           . . . . . . . + + +
                                     0 0 0 0 0 1 2 3 7 17
                                                                     + + + + + + . .
                                                                    36 58 62 47 19 5 2 1
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0
                                  . . . . . . - + + + +              + + + + + - . .          .     .   .   .
<100.                                0 0 0 0 1 1 2 5 13 29
                                     . . . . . . - + + +
                                                                    52 68 64 43 18 5 2 1
                                                                     + + + + + + - .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .
                                     0 0 0 0 1 1 3 6 14 26          37 39 32 20 9 3 1 1       0     0   0   0   0
                                     . . . . . . - + + +             + + + + + + - .          .     .   .   .   .
+/- indicates type of pixel          0 0 0 0 0 1 2 6 10 14
                                     . . . . . . . + + +
                                                                    16 15 11 7 4 2 1 0
                                                                     + + + + + + . .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .

   background “.”                    0 0 0 0 0 1 2 3 5 6
                                     . . . . . . . - + +
                                                                     6 5 4 3 2 1 1 0
                                                                     + + + + + - . .
                                                                                              0
                                                                                              .
                                                                                                    0
                                                                                                    .
                                                                                                        0
                                                                                                        .
                                                                                                            0
                                                                                                            .
                                                                                                                0
                                                                                                                .
                                     0 0 0 0 0 1 1 1 2 2             2 2 1 1 1 0 0 0          0     0   0   0   0
    overlap “-” or                   . . . . . . . . - +             + + + + - . . .          .     .   .   .   .
                                     0 0 0 0 0 0 0 1 1 1             1 1 0 0 0 0 0 0          0     0   0   0   0
    actual spot “+”                  . . . . . . . . . .
                                     0 0 0 0 0 0 0 0 0 0
                                                                     - - - . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0
Determined by size of                . . . . . . . . . .
                                     0 0 0 0 0 0 0 0 0 0
                                                                     . . . . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0

integration boxes listed in          . . . . . . . . . .
                                     0 0 0 0 0 0 0 0 0 0
                                                                     . . . . . . . .
                                                                     0 0 0 0 0 0 0 0
                                                                                              .
                                                                                              0
                                                                                                    .
                                                                                                    0
                                                                                                        .
                                                                                                        0
                                                                                                            .
                                                                                                            0
                                                                                                                .
                                                                                                                0
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
auto.dat.                            0 0 0 0 0 0 0 0 0 0             0 0 0 0 0 0 0 0          0     0   0   0   1
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
                                     0 0 0 0 0 0 0 0 0 0             0 0 0 0 0 0 0 0          0     0   0   0   1
                                     . . . . . . . . . .             . . . . . . . .          .     .   .   .   .
HKL’s assigned
• The process of integration causes a series of “.x” files to be
  written which contains the indexed reflections.
   HEADER     1
   met8p
       -0.00465175    0.00519329   -0.01006241 0.676244 -0.138237 -0.723592
        0.00294147    0.01116484    0.00423633 -0.622640 0.417704 -0.661697
        0.00505222   -0.00171869   -0.00288537 0.393718 0.898005 0.196398
        0.00000    0.50000 1866.66663     0.84450
     -22.6727 -13.2914 169.4859    1.2000-1-1-1-1-1-1
    -25 21 -23 1 -450.2 -558.9    0.47-541.6 0.921     9.4 908.1 1.196 1950.8   0.156   0.1
    -26 18 -24 1   646.4   700.2  0.58 753.5 0.923    12.9 838.2 1.190 3223.0   0.278   0.1
    -25 19 -24 1 -1066.9 -1009.3  0.48 748.2 0.922    14.0 862.2 1.188 3192.6   0.605   0.3
    -24 20 -24 1   958.1 1300.8   0.42 761.5 0.922    15.0 886.1 1.187 3059.5   0.186   0.4
    -28 14 -25 1   335.9   684.0  0.48 738.6 0.923    15.1 744.4 1.186 3439.4   0.188   0.1
    -27 15 -25 1   981.8   423.1  0.37 746.0 0.923    16.3 768.6 1.185 3437.6   0.573   0.2
    -30 10 -26 1 3987.9 5029.6    0.54-678.7 0.921    17.1 650.4 1.184 2562.2   0.461   0.2
    -26 16 -25 1   251.6 -181.3   0.51 739.9 0.923    17.4 792.7 1.183 3693.9   0.466   0.3
    -29 11 -26 1 1160.3 1373.3    0.47 779.6 0.922    18.3 674.9 1.182 3512.9   0.601   0.3
    -25 17 -25 1 -1021.2 -951.7   0.48 740.6 0.924    18.4 816.8 1.181 3512.8   0.045   0.4
    -28 12 -26 1 1858.6 2942.4    0.54 745.8 0.923    19.6 699.3 1.180 3865.9   0.382   0.3
    -27 13 -26 1 -360.6 -1069.0   0.50 735.9 0.923    20.6 723.5 1.178 3929.4   0.049   0.4
    -23 23 -22 1 -515.1 -319.2    0.41 725.6 0.922    27.2 963.4 1.168 3136.4   0.467   0.2
    -22 24 -22 1   737.4    83.7  0.44-754.9 0.921    28.3 987.1 1.167 2859.0   0.414   0.3
    -24 20 -23 1   678.0   880.1  0.42 707.3 0.925    30.8 893.5 1.162 4553.3   0.448   0.2
    -23 21 -23 1   890.2   794.5  0.39 704.6 0.924    31.9 917.3 1.160 4548.9   0.496   0.3




           h, k, l, xpos, ypos, fract., background, overlap, and spot intensity.
Check 90° away
Don’t forget to go
back and check
another image at
least 45-90! away
from the first image.

Again check image
for splitting. Spot
profile etc.
Scaling
•   a program that merges the .x files
•   scale images together to account for absportion effects
    and crystal decay
•   compare reflections measured more than once and
    determine mean and standard deviation

•   calculate completeness, Rmerge, I/σI, and error probabilities
•   reject outliers
•   determine final space group by viewing systematic
    absences
•   output a merged file of reflections for use in structure
    determination and renement
Redundancy and
       completeness


Most reflections in this data set are collected at least 7
times. The higher the redundancy the more accurate
the data. Redundancy is a function of the space group
and the number of degrees of data collected
I/σI and completeness



We limit the resolution based on two factors:
1. when the % reflections is above 50% for I/σI=2
in the example above, it’s only 28.4% at I/σI=2 in the highest resolution
shell, so data should have been collected to a higher resolution
I/σI and completeness



We limit the resolution based on two factors:
2. Rmerge goes above ∟50%
in the example above, Rmerge never goes above 50% in the highest
resolution shell, so again data should have been collected to a higher
resolution
Final statistics are usually reported for the overall value and the value
for the highest resolution shell

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Data processing Lab Lecture

  • 1. Data Processing HKL2000 Mosflm
  • 2. Data collection and processing • mount crystal • evaluate quality • diffraction quality, resolution, splitting, cryo-protection • Auto-index • space group, cell dimensions, strategy for collection, mosaicity • integrate a series of images • scale images together • completeness, Rmerge, systematic absences, I/σI
  • 3. Image from R-axis IV detector • detector is square, so the corners are higher resolution; the main limit of resolution is the radius along the vertical and horizontal axes • backstop appears as a white shadow
  • 4. Bad images • Always check crystals at 0° and 90° to check for splitting, large diffuse reflections, doublets 90° - the splitting is obvious 0° - image doesn’t diffract very in the forms of wide, diffuse high, but spots are well formed spots
  • 5. • Zoom in enough, intensity value of each pixel is displayed
  • 6. Peak search Peak Search Ask the program to search the image for reflections. Accept the Found reflections This writes “peaks.file”
  • 7. Space group prediction The program Volume of the primitive cell 559745. determines the best Lattice Metric tensor distortion index Best cell (symmetrized) Best cell (without symmetry restrains) lattice fit to each primitive cubic 17.70% 88.21 80.46 100.09 66.31 66.75 63.03 89.59 89.59 89.59 90.00 90.00 90.00 point group. It prints I centred cubic 11.58% 100.09 88.41 131.41 95.23 104.52 91.61 106.64 106.64 106.64 90.00 90.00 90.00 the closest real fit to F centred cubic 7.18% 135.40 131.67 131.41 75.42 82.77 82.91 132.83 132.83 132.83 90.00 90.00 90.00 the space group primitive rhombohedral 2.91% 100.09 100.10 104.06 51.28 51.15 47.40 restrictions and then 101.42 101.42 101.42 49.94 49.94 49.94 84.33 84.33 265.57 90.00 90.00 120.00 (in a second line)what primitive hexagonal 12.90% 80.46 88.21 100.10 88.27 66.30 116.97 84.33 84.33 100.10 90.00 90.00 120.00 the space groups primitive tetragonal 16.77% 88.21 80.46 100.09 66.31 66.75 63.03 84.33 84.33 100.09 90.00 90.00 90.00 restrictions would I centred tetragonal 7.05% 80.46 104.06 135.40 80.93 90.10 89.88 92.26 92.26 135.40 90.00 90.00 90.00 actually demand. The primitive orthorhombic 16.58% 80.46 88.21 100.09 66.75 113.69 116.97 tensor index gives a 80.46 88.21 100.09 90.00 90.00 90.00 C centred orthorhombic 12.45% 80.46 157.23 100.10 76.14 66.30 89.84 correlation of the fit. I centred orthorhombic 80.46 157.23 100.10 90.00 90.00 90.00 3.76% 80.46 104.06 135.40 80.93 90.10 89.88 80.46 104.06 135.40 90.00 90.00 90.00 F centred orthorhombic 6.36% 80.46 157.23 183.31 74.91 90.00 89.84 80.46 157.23 183.31 90.00 90.00 90.00 primitive monoclinic 12.46% 80.46 100.09 88.21 113.25 116.97 66.31 80.46 100.09 88.21 90.00 116.97 90.00 C centred monoclinic 0.07% 157.23 80.46 104.06 89.88 121.75 90.16 157.23 80.46 104.06 90.00 121.75 90.00 primitive triclinic 0.00% 80.46 88.21 100.09 66.75 66.31 63.03 autoindex unit cell 80.46 88.21 100.09 66.75 66.31 63.03 crystal rotx, roty, rotz -71.263 116.160 -73.145 Autoindex Xbeam, Ybeam 118.97 119.89
  • 8. Show predicted spots • Are there spots under the predictions? • Are there spots which are not predicted? • What are the red spots?
  • 9. use zoom window and ‘remove pred’ key to toggle predictions
  • 10.
  • 11.
  • 12. Reflection proling • spots are assumed to be Gaussian in shape • if center is ‘maxed out’, then the curve is flattened on top, and the intensity cannot be determined accurately
  • 13. autoindex unit cell 157.23 80.46 104.06 90.00 121.75 90.00 crystal rotx, roty, rotz 169.439 -13.341 -22.651 Autoindex Xbeam, Ybeam 118.97 119.89 position 245 chi**2 x 1.41 y 2.42 pred. decrease: 0.000 * 245 = 0.0 partiality 245 chi**2 0.24 pred. decrease: 0.000 * 245 = 0.0 position 852 chi**2 x 2.36 y 1.59 pred. decrease: 0.001 * 852 = 0.5 partiality 2788 chi**2 0.90 pred. decrease: 0.000 * 2788 = 0.1 CrysZ (beam) -22.673 shift 0.012 error 0.019 CrysY (vertical) -13.291 shift -0.054 error 0.013 CrysX (spindle) 169.490 shift 0.046 error 0.011 Cell, a 157.86 b 80.43 c 104.41 alpha 90.00 beta 122.00 gamma 90.00 shifts 0.63 -0.03 0.35 0.25 errors 0.12 0.03 0.04 0.04 Watch chi**2 values CassY (vertical) -0.079 shift 0.001 error 0.043 decrease or level out CassX (spindle) X beam 0.008 shift 119.001 shift -0.002 error 0.027 error 0.039 0.011 Y beam 119.930 shift 0.039 error 0.009 Radial offset 0.012 shift 0.000 error 0.021 Angular offset -0.061 shift -0.005 error 0.022 Crossfire y -0.001 shift -0.023 error 0.012 Crossfire x 0.022 shift 0.022 error 0.014 Crossfire xy 0.020 shift -0.001 error 0.018 Watch value on end of first line. This is the value of the predicted difference if you were to refine again. At ‘zero’ additional refinement is not as useful.
  • 14. Mosaicity Mosaicity is a measure of how wide a spot is in phi (rotation angle). Mos=1.0! Note that here the image is from a 0.5 ! rotation. This is less than the mosaicity. Only partial reflections are recorded.
  • 15. Change mosaicity between refinement “go’s” and refine again. Check predictions for reflection coverage Playing with Mosaicity The Mosaicity directly effects the rotation angle during data collection. We want to avoid overlaps (red). If the mosaicity is less than the rotation angle then full reflections are recorded, if the rotation angle is less than the mosaicity then all reflections are only partially recorded. Mos=2.0! Mos=0.5!
  • 16. Averaged spot profile in sector 2, 3 (x,y) # of spots 123 Weighted position of the spots 121.111, 173.574 (x,y) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . . . . . . . . . . . . . . As the image is processed, spot 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . 0 0 0 0 0 0 0 0 . . . . . . . . 0 . 0 . 0 . 0 . 0 . profiles are printed. These are 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . 0 0 0 0 0 0 0 0 . . . . . . . . 0 . 0 . 0 . 0 . 0 . two dimensions profiles of the 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . 0 0 0 0 0 0 0 0 . . . . . . . . 0 . 0 . 0 . 0 . 0 . three dimensional reflections. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . . . . . . . . . . . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 . . . . . . . . . . - - - . . . . . . . . . . 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 Background should be 0, the . . . . . . . . - + 0 0 0 0 0 0 1 1 2 2 + + + + - . . . 3 5 6 6 4 2 1 1 . 0 . 0 . 0 . 0 . 0 spots are normalized in these . . . . . . . - + + 0 0 0 0 0 1 1 2 3 6 + + + + + - . . 13 20 27 22 10 3 1 1 . 0 . 0 . 0 . 0 . 0 plots and center should be . . . . . . . + + + 0 0 0 0 0 1 2 3 7 17 + + + + + + . . 36 58 62 47 19 5 2 1 . 0 . 0 . 0 . 0 . 0 . . . . . . - + + + + + + + + + - . . . . . . <100. 0 0 0 0 1 1 2 5 13 29 . . . . . . - + + + 52 68 64 43 18 5 2 1 + + + + + + - . 0 . 0 . 0 . 0 . 0 . 0 0 0 0 1 1 3 6 14 26 37 39 32 20 9 3 1 1 0 0 0 0 0 . . . . . . - + + + + + + + + + - . . . . . . +/- indicates type of pixel 0 0 0 0 0 1 2 6 10 14 . . . . . . . + + + 16 15 11 7 4 2 1 0 + + + + + + . . 0 . 0 . 0 . 0 . 0 . background “.” 0 0 0 0 0 1 2 3 5 6 . . . . . . . - + + 6 5 4 3 2 1 1 0 + + + + + - . . 0 . 0 . 0 . 0 . 0 . 0 0 0 0 0 1 1 1 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 overlap “-” or . . . . . . . . - + + + + + - . . . . . . . . 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 actual spot “+” . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 - - - . . . . . 0 0 0 0 0 0 0 0 . 0 . 0 . 0 . 0 . 0 Determined by size of . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 . . . . . . . . 0 0 0 0 0 0 0 0 . 0 . 0 . 0 . 0 . 0 integration boxes listed in . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 . . . . . . . . 0 0 0 0 0 0 0 0 . 0 . 0 . 0 . 0 . 0 . . . . . . . . . . . . . . . . . . . . . . . auto.dat. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 . . . . . . . . . . . . . . . . . . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 . . . . . . . . . . . . . . . . . . . . . . .
  • 17. HKL’s assigned • The process of integration causes a series of “.x” files to be written which contains the indexed reflections. HEADER 1 met8p -0.00465175 0.00519329 -0.01006241 0.676244 -0.138237 -0.723592 0.00294147 0.01116484 0.00423633 -0.622640 0.417704 -0.661697 0.00505222 -0.00171869 -0.00288537 0.393718 0.898005 0.196398 0.00000 0.50000 1866.66663 0.84450 -22.6727 -13.2914 169.4859 1.2000-1-1-1-1-1-1 -25 21 -23 1 -450.2 -558.9 0.47-541.6 0.921 9.4 908.1 1.196 1950.8 0.156 0.1 -26 18 -24 1 646.4 700.2 0.58 753.5 0.923 12.9 838.2 1.190 3223.0 0.278 0.1 -25 19 -24 1 -1066.9 -1009.3 0.48 748.2 0.922 14.0 862.2 1.188 3192.6 0.605 0.3 -24 20 -24 1 958.1 1300.8 0.42 761.5 0.922 15.0 886.1 1.187 3059.5 0.186 0.4 -28 14 -25 1 335.9 684.0 0.48 738.6 0.923 15.1 744.4 1.186 3439.4 0.188 0.1 -27 15 -25 1 981.8 423.1 0.37 746.0 0.923 16.3 768.6 1.185 3437.6 0.573 0.2 -30 10 -26 1 3987.9 5029.6 0.54-678.7 0.921 17.1 650.4 1.184 2562.2 0.461 0.2 -26 16 -25 1 251.6 -181.3 0.51 739.9 0.923 17.4 792.7 1.183 3693.9 0.466 0.3 -29 11 -26 1 1160.3 1373.3 0.47 779.6 0.922 18.3 674.9 1.182 3512.9 0.601 0.3 -25 17 -25 1 -1021.2 -951.7 0.48 740.6 0.924 18.4 816.8 1.181 3512.8 0.045 0.4 -28 12 -26 1 1858.6 2942.4 0.54 745.8 0.923 19.6 699.3 1.180 3865.9 0.382 0.3 -27 13 -26 1 -360.6 -1069.0 0.50 735.9 0.923 20.6 723.5 1.178 3929.4 0.049 0.4 -23 23 -22 1 -515.1 -319.2 0.41 725.6 0.922 27.2 963.4 1.168 3136.4 0.467 0.2 -22 24 -22 1 737.4 83.7 0.44-754.9 0.921 28.3 987.1 1.167 2859.0 0.414 0.3 -24 20 -23 1 678.0 880.1 0.42 707.3 0.925 30.8 893.5 1.162 4553.3 0.448 0.2 -23 21 -23 1 890.2 794.5 0.39 704.6 0.924 31.9 917.3 1.160 4548.9 0.496 0.3 h, k, l, xpos, ypos, fract., background, overlap, and spot intensity.
  • 18. Check 90° away Don’t forget to go back and check another image at least 45-90! away from the first image. Again check image for splitting. Spot profile etc.
  • 19. Scaling • a program that merges the .x les • scale images together to account for absportion effects and crystal decay • compare reflections measured more than once and determine mean and standard deviation • calculate completeness, Rmerge, I/σI, and error probabilities • reject outliers • determine nal space group by viewing systematic absences • output a merged le of reflections for use in structure determination and renement
  • 20. Redundancy and completeness Most reflections in this data set are collected at least 7 times. The higher the redundancy the more accurate the data. Redundancy is a function of the space group and the number of degrees of data collected
  • 21. I/σI and completeness We limit the resolution based on two factors: 1. when the % reflections is above 50% for I/σI=2 in the example above, it’s only 28.4% at I/σI=2 in the highest resolution shell, so data should have been collected to a higher resolution
  • 22. I/σI and completeness We limit the resolution based on two factors: 2. Rmerge goes above ∟50% in the example above, Rmerge never goes above 50% in the highest resolution shell, so again data should have been collected to a higher resolution Final statistics are usually reported for the overall value and the value for the highest resolution shell

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