**Definition:**

The Hamilton generalized R factor for all reflections that satisfy the resolution limits established by _refine_analyze.RG_d_res_high and _refine_analyze.RG_d_res_low and for those reflections included in the working set when a free R set of reflections is omitted from the refinement. sum_i sum_j w_{i,j}(|Fobs|_i - G|Fcalc|_i)(|Fobs|_j - G|Fcalc|_j) RG = Sqrt( ----------------------------------------------------------------- ) sum_i sum_j w_{i,j} |Fobs|_i |Fobs|_j where |Fobs| = the observed structure-factor amplitudes |Fcalc| = the calculated structure-factor amplitudes G = the scale factor which puts |Fcalc| on the same scale as |Fobs| w_{i,j} = the weight for the combination of the reflections i and j. sum_i and sum_j are taken over the specified reflections When the covariance of the amplitudes of reflection i and reflection j is zero (i.e. the reflections are independent) w{i,i} can be redefined as w_i and the nested sums collapsed into one sum. sum_i w_i(|Fobs|_i - G|Fcalc|_i)^2 RG = Sqrt( ----------------------------------- ) sum_i w_i |Fobs|_i^2 Ref: Hamilton, W. C. (1965). Acta Cryst. 18, 502-510.

**Type:** float

**Mandatory item:** no

The permitted range is [0.0, infinity)

**Category:** refine_analyze

Copyright © 2005 International Union of Crystallography