[phenixbb] Disappearing density?
Tom Terwilliger
terwilliger at lanl.gov
Tue Aug 10 08:32:51 PDT 2010
Hi Pavel,
I haven't thought about it a lot, but here is my understanding of the
effect. A symmetry axis (e.g., 2-fold) basically is the same as
having 2 identical cells on top of each other, rotated 180 degrees.
Imagine that cell 1 has random density. Then cell 2 has the same
random density, rotated 180 degrees. Now add them together. At most
points, the density from cell 1 and cell 2 are different, and the RMS
of their sum is about sqrt(2) times the RMS of either one. On the
other hand, at the symmetry axis, the density from cell 1 and cell 2
are identical, so that they always add constructively and the RMS is 2
times the RMS of either one. As you move away from the axis, the
effect is smaller, and it decays away over the resolution of the map.
Note that if you have a 3-fold, 4-fold or 6-fold, then the effect is
even bigger.
All the best,
Tom T
On Aug 10, 2010, at 9:07 AM, Pavel Afonine wrote:
> Hi Tom,
>
> On 8/10/10 7:36 AM, Tom Terwilliger wrote:
>> 1. Yes, it is possible that the presence of a symmetry element very
>> near the problematic area can make the density noisier. Normally
>> this happens only right at the symmetry element however, not even a
>> few A away.
>
> could you please explain why this happens?
>
> Thanks!
> Pavel.
>
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Thomas C. Terwilliger
Mail Stop M888
Los Alamos National Laboratory
Los Alamos, NM 87545
Tel: 505-667-0072 email: terwilliger at LANL.gov
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