The source for the X-ray background are points along the air path
post-collimator including the sample with loop and cryoprotecdant (or
capillary and mother liquor).  So the 1/r^2 falloff is noticable going from
100 mm to 200 mm.  The same counts in a 2x2 pixel area is now seen in a 4x4
pixel area.

The source for Bragg reflections at a synchtrotron is upstream a couple
dozen meters.  The divergence is not large as well, so the spread in the
spots (for a source ~30 meters upstream) goes from 1/(30.1 * 30.1)^2 to
1/(30.2 * 30.2)^2 which is really not that noticable.

In contrast, a modern home lab system with Osmic multilayer optics, the
source is much closer to the sample and the divergence is larger.  For folks
with home lab systems, you can see your spots getting larger as you increase
your distance.  The total background under the (sum of all) pixels of the
Bragg reflections does not change that much with changing distance.  It's
just that everything (spot & background) are spread out over more pixels.
Thus moving the detector backwards will not do the same thing that it does
for you at a beamline.  Folks with such home lab systems can do the
experiment to see this for themselves.

So when your synchtrotron buddies talk about all this, be sure to buy them
beers to help with their thinking. :)

Jim

-----Original Message-----
From: CCP4 bulletin board [mailto:ccp...@jiscmail.ac.uk] On Behalf Of James
Holton
Sent: Tuesday, November 24, 2009 1:46 AM
To: CCP4BB@JISCMAIL.AC.UK
Subject: Re: [ccp4bb] decrease of background with distance?

Spots don't fall off with the inverse square law.  It is a very easy
experiment to do.  Just take exposures at several distances and scale the
data together, noting the correction for air absorption. 

A good reference for the underlying theory is Chapter 6 of M. M. 
Woolfson's book (1997).  But briefly: Diffuse scattering falls off with the
inverse square law as one would naturally expect from anything that spreads
out in all directions.  Spots, however, are "reflections" and their source
point is the source of the incident beam, which is usually far away or at
worst comparable to the sample-to-detector distance.

For those who do not like my "long posts" I now direct you to the "delete"
button which should have come with your email client.  Everyone else, read
on.


...

It is an interesting point, however, that simultaneously increasing the
detector distance and increasing the photon energy to keep the resolution at
the edge of the detector constant has absolutely NO effect on the
photons/spot from Bragg vs diffuse scattering.  It took me a while to become
convinced of this, and I still owe Colin Nave a few beers as a result.
Nevertheless, the experimental evidence was given by Gonzalez, Denny & Nave
in 1994.

HTH

-James Holton
MAD Scientist

Richard Gillilan wrote:
> It seems to be widely known and observed that diffuse background 
> scattering decreases more rapidly with increasing detector-to-sample 
> distance than Bragg reflections. For example, Jim Pflugrath, in his
> 1999 paper (Acta Cryst 1999 D55 1718-1725) says "Since the X-ray 
> background falls off as the square of the distance, the expectation is 
> that a larger crystal-to-detector distance is better for reduction of 
> the x-ray background. ..."
>
> Does anyone know of a more rigorous discussion of why background 
> scatter fades while Bragg reflections remain collimated with distance?
>
>
> Richard Gillilan
> MacCHESS

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