Dear Ian, thank you for enlightening my ignorance!
So George, maybe PDB coordinates will be accepted by chemical 
crystallographers? 
Doing this also them will develop something as nice as bioinformatics! :-)
FF
Dr Felix Frolow   
Professor of Structural Biology and Biotechnology, Department of Molecular 
Microbiology and Biotechnology
Tel Aviv University 69978, Israel

Acta Crystallographica F, co-editor

e-mail: mbfro...@post.tau.ac.il
Tel:  ++972-3640-8723
Fax: ++972-3640-9407
Cellular: 0547 459 608

On Jan 6, 2013, at 15:01 , Ian Tickle <ianj...@gmail.com> wrote:

> > ... anyhow all calculations during refinement are in fractional coordinates 
> > ...
> 
> Not necessarily: I can only speak for the RESTRAIN program for restrained 
> refinement that I was involved in developing (the first use of TLS in 
> macromolecular refinement), and at no point were co-ordinates converted to 
> fractional or fractional co-ordinates ever used.  All structure factor 
> calculations (and of course the geometric restraints) were done with the 
> original orthogonal co-ordinates read from the PDB file, using the classical 
> structure factor equations (of course more modern programs use FFT for this).
> 
> Essentially, you can express the phase factor as exp(2 pi i h.(Sr + t)) = 
> exp(2 pi i (H.R + h.t)) where h is the index vector in integers as read from 
> the MTZ file, r is the fractional co-ordinate vector (not needed in the 
> calculation), S and t represent the real-space symmetry operator, H is the 
> orthogonalised rotated reciprocal lattice vector (H~ = h~SB^-1), and R is the 
> orthogonal co-ordinate vector (R = Br).  I think this is the most efficient 
> way of organising the calculation provided the outer loops are over symmetry 
> operators and reflections (so H is calculated once) and the inner loop is 
> over co-ordinates.  Of course I accept that using FFT via the electron 
> density is a much more efficient way but I think even then no conversion to 
> fractional is necessary.
> 
> Cheers
> 
> -- Ian

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