Cross-rotation search to determine rotation


The first part of the molecular replacement process is the rotation search, which attempts to determine the correct rotational orientation of the search model in the cell of the unknown structure.

      cns_solve < cross_rotation.inp > cross_rotation.out [26 minutes]

The fast direct rotation search is used for this rotation search. The output is a listing of rotation function peak height (in this case the correlation coefficient between squared, normalized structure factors) versus rotation angle (in Euler angles). In the ideal case there is a clear separation between the correct and incorrect solutions in the list, the correct solutions having the highest correlation coefficients. However, if the search model has low homology with the unknown structure, or the search model represents only a fraction of the asymmetric unit contents, it is not uncommon for no clear "top" solution to be present:

! mean of rotation function:         0.0218
! standard deviation around mean:    0.0153
 ! index, theta1, theta2, theta3, RF-function (EPSIlon= 0.25)
      1    64.427  78.712  76.969    0.0799
      5    64.452  56.212  47.265    0.0631
      7    71.036  63.737  31.274    0.0554
      8   223.333  90.000 210.105    0.0525
      9    64.567  48.686  83.381    0.0509
     10    54.000  78.788 324.814    0.0505
     11    42.219  67.500  45.981    0.0501
     13   164.255  -3.763 183.069    0.0494
     15    54.896  75.025 313.167    0.0490
     16    53.619  82.551  47.347    0.0478

Although the correlation coefficients are small, there is a clear gap between the top peak and the rest. This is usually a good indication that a correct solution has been obtained. In this example there is a dimer in the asymmetric unit but our search model contains only one monomer, this leads us to expect two outstanding rotation solution peaks (one for each monomer in the dimer). However, here we see only one clear peak, probably due to differences (coordinates and B-factors) in the two molecules in the asymmetric unit. The translation search will be used to determine which of the rotation solutions correspond to the two monomers.


Script to run this tutorial

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