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I am glad the structures that have been solved using the
free-lunch-algorithm as implemented in shelxe did not know they were not
allowed to be solved. Of course there is DM involved, as has been
pointed out ;-)

On 10/12/2011 10:12 PM, Edward A. Berry wrote:
> Tim Gruene wrote:
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>>
>> On 10/11/2011 09:58 PM, Ethan Merritt wrote:
>>> On Tuesday, October 11, 2011 12:33:09 pm Garib N Murshudov wrote:
>>>> In the limit yes. however limit is when we do not have solution,
>>>> i.e. when model errors are very large.  In the limit map
>>>> coefficients will be 0 even for 2mFo-DFc maps. In refinement we have
>>>> some model. At the moment we have choice between 0 and DFc. 0 is not
>>>> the best estimate as Ed rightly points out. We replace (I am sorry
>>>> for self promotion, nevertheless: Murshudov et al, 1997) "absent"
>>>> reflection with DFc, but it introduces bias. Bias becomes stronger
>>>> as the number of "absent" reflections become larger. We need better
>>>> way of estimating "unobserved" reflections. In statistics there are
>>>> few appraoches. None of them is full proof, all of them are
>>>> computationally expensive. One of the techniques is called multiple
>>>> imputation.
>>>
>>> I don't quite follow how one would generate multiple imputations in
>>> this case.
>>>
>>> Would this be equivalent to generating a map from (Nobs - N) refls, then
>>> filling in F_estimate for those N refls by back-transforming the map?
>>> Sort of like phase extension, except generating new Fs rather than
>>> new phases?
>>
>> Some people call this the "free-lunch-algorithm" ;-)
>> Tim
>>
> Doesn't work- the Fourier transform is invertable. As someone already
> said in this
> thread, if the map was made with coefficients of zero for certain
> reflections
> (which is equivalent to omitting those reflections) The back-transform will
> give zero for those reflections. Unless you do some density modification
> first.
> So free-lunch is a good name- there aint no such thing!
> 

- -- 
- --
Dr Tim Gruene
Institut fuer anorganische Chemie
Tammannstr. 4
D-37077 Goettingen

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