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First the stats for POINTLESS with XDS_ASCII.HKL (CORRECT with
SPACE_GROUP_NUMBER=
3):

Nelmt  Lklhd  Z-cc    CC        N  Rmeas    Symmetry & operator (in
Lattice Cell)

  1   0.913   9.30   0.93   50862  0.039     identity
  2   0.915   9.23   0.92   93951  0.045 *** 2-fold l ( 0 0 1) {-h,-k,l}
  3   0.916   9.21   0.92   93677  0.050 *** 2-fold k ( 0 1 0) {-h,k,-l}
  4   0.915   9.24   0.92   96828  0.045 *** 2-fold h ( 1 0 0) {h,-k,-l}

Interestingly, CORRECT.LP with SPACE_GROUP_NUMBER= 0 and unspecified
TEST_RESOLUTION_RANGE:

 SPACE-GROUP         UNIT CELL CONSTANTS            UNIQUE   Rmeas
COMPARED  LATTICE-
   NUMBER      a      b      c   alpha beta gamma
      CHARACTER

       5      72.0   37.7  126.2  90.0  90.1  90.0    1372    12.0
3617    39 mC
       5      37.7   72.0  126.2  90.0  90.0  90.0    1325    13.0
3664    29 mC
       1      37.7   40.6  126.2  89.9  90.0  62.4    2499     8.6
2490    31 aP
      21      37.7   72.0  126.2  90.0  90.0  90.0     738    18.4
4251    38 oC
   *   3      37.7  126.2   40.7  90.0 117.7  90.0    1303    12.6
3686    34 mP
       1      37.7   40.6  126.2  90.1  90.0 117.6    2499     8.6
2490    44 aP

Why did xds prefer “3” over “5”, which has a lower Rmeas?
Jacob asked about the refmac-assigned twin ratio:

Twin operator:  H,  K,  L  : Fraction = 0.519; Equivalent operators: -H,  K, -L
Twin operator: -H, -K,  H+L: Fraction = 0.481; Equivalent operators:
H, -K, -H-L

Is it reasonable to compare these values with the L-test ratio? It may be
relevant that the crystal includes a significant (> 50% of macromolecular
non-H atoms) DNA double helix component. Could the DNA exert a
translational pseudo-symmetry effect on the intensity ratios and mask a
truly higher twin ratio?
​

On Sat, Jul 9, 2016 at 2:19 AM, Kay Diederichs <
[log in to unmask]> wrote:

> On Fri, 8 Jul 2016 17:14:42 -0400, wtempel <[log in to unmask]> wrote:
>
> >Hello all,
> >expanding this thread, and keeping Garib’s paper in mind, how would my
> >colleagues proceed in the following case:
> >1.8 Å data can can be merged in space group C2221 with an Rmeas of 5%. The
>
> it pays off to look very closely how well it can be merged. E.g. only if
> the twin fraction alpha is high (say, >0.4) you get the same good Rmeas in
> the apparent (wrong) high-symmetry space group as in the correct
> low-symmetry space group. For your low twin fraction, I would expect that
> merging in P21 gives a better Rmeas than in C2221. In case you use XDS,
> maybe you want to use higher resolution data to do that comparison - adjust
> TEST_RESOLUTION_RANGE !  Pointless automatically finds the appropriate
> resolution range for the comparison, and gives very detailed information
> about how well the data support each symmetry element. So please post here
> what you get - for a true orthorhombic crystal you should get something like
>
> *******************************************
>
> Analysing rotational symmetry in lattice group P m m m
> ----------------------------------------------
>
> <!--SUMMARY_BEGIN-->
>
> Scores for each symmetry element
>
> Nelmt  Lklhd  Z-cc    CC        N  Rmeas    Symmetry & operator (in
> Lattice Cell)
>
>   1   0.941   9.62   0.96  175778  0.054     identity
>   2   0.942   9.61   0.96  227697  0.053 *** 2-fold l ( 0 0 1) {-h,-k,l}
>   3   0.942   9.61   0.96  225738  0.053 *** 2-fold k ( 0 1 0) {-h,k,-l}
>   4   0.942   9.61   0.96  225139  0.053 *** 2-fold h ( 1 0 0) {h,-k,-l}
>
> In this case all symmetry operators are as good as the identity operator,
> so it is true crystallographic symmetry (or the twinning is perfect, but
> this is what the L-test would tell you).
>
> HTH,
>
> Kay
>
> >L-test suggests a twin ratio of 0.13 and Rwork/Rfree hover around
> 0.44/0.48
> >with an essentially complete structure. After expansion to P21, and
> >twin-aware assignment of free flags, Rwork/Rfree are 0.24/0.29 without and
> >0.19/0.26 with twin refinement in refmac. The coordinates do not differ in
> >any obvious way between runs with or without twin refinement. Is this
> >sufficient evidence to rule out C2221? If so, how would readers of this
> >discussion forum decide which, if any, should become the “model of
> record”:
> >refined with or without the twinning option.
> >With best regards,
> >Wolfram Tempel
> >​
> >
> >On Wed, Jul 6, 2016 at 9:05 AM, Kay Diederichs <
> >[log in to unmask]> wrote:
> >
> >> On Wed, 6 Jul 2016 09:13:22 +0100, Randy Read <[log in to unmask]> wrote:
> >>
> >> >Dear Zbyszek,
> >> >
> >> >I agree completely with your general point that there is a trend for an
> >> increasing number of people to adopt too-low symmetry, rewarded by lower
> >> R-factors in twinned refinement.
> >>
> >> Dear Randy,
> >>
> >> I wish you had not used the word "rewarded" - for Germans at least, it
> has
> >> no ironic or pejorative connotation. I hope people do not understand
> this
> >> as if you were endorsing this unfortunate practice. There are already
> too
> >> many structures being twin-refined "because it reduces the R-factors"
> (and
> >> I fell into this trap as well before reading  Garib N. Murshudov (2011)
> >> "Some properties of crystallographic reliability index - Rfactor:
> effect of
> >> twinning" Appl. Comput. Math., V.10, N.2, 2011, pp.250-261
> >> http://www.ysbl.york.ac.uk/refmac/papers/Rfactor.pdf ).
> >>
> >> best,
> >>
> >> Kay
> >>
> >
>