Yes, this is great info and thoughts. What I still do not understand, however, 
is why the noise from air/loop scattering is so bad--why not make sure only the 
top of the Gaussian is engulfing the crystal, and the tails can hit air or 
loop? Isn't the air scattering noise easily subtractable, being essentially 
flat over time, whereas uneven illumination of the crystal is highly difficult 
to correct?

Also, in light of these considerations, it would seem to me a much better use 
of resources not to make brighter and smaller beams but instead concentrate on 
making better low-intensity big beam profiles (top-hats?) and lower-noise, 
faster detectors (like Pilatus and the new ADSC). 

Jacob

-----Original Message-----
From: James Holton [mailto:jmhol...@lbl.gov] 
Sent: Tuesday, December 30, 2014 3:57 PM
To: Keller, Jacob; CCP4BB@JISCMAIL.AC.UK
Subject: Re: [ccp4bb] How far does rad dam travel?


Yes, bigger is okay, and perhaps a little better if you consider the effects of 
beam/crystal vibration and two sharp-edged boundaries dancing over each other.  
But bigger is better only to a point.  That point is when the illuminated area 
of non-good-stuff is about equal to the area of the good stuff.  This is 
because the total background noise is equal to the square root of the number of 
photons and equal volumes of any given "stuff" (good or non-good) yield about 
the same number of background-scattered photons.  So, since you're taking the 
square root, completely eliminating the non-good-stuff only buys you a gain of 
40% in total noise.  Given that other sources of noise come into play when the 
beam and crystal are exactly matched (flicker), 40% is a reasonable compromise. 
 This is why I recommend loop sizes that are about 40% bigger than the crystal 
itself.  Much less risk of surface-tension injury, and the air around the loop 
scatters 1000x less than the non-crystal stuff in the loop: effectively 
defining the "beam size".

As for what beam profiles look like at different beamlines, there are some 
sobering mug-shots in this paper:
http://dx.doi.org/10.1107/S0909049511008235

Some interesting quirks in a few of them, but in general optimally focused 
beams are Gaussian.  Almost by definition! (central limit theorem and all 
that).  It is when you "de-focus" that things get really embarrassing.  X-ray 
mirrors all have a "fingerprint" in the de-focused region that leads to 
striations and other distortions.  The technology is improving, but good 
solutions for "de focusing" are still not widely available.  Perhaps because 
they are hard to fund.

Genuine top-hat beams are rare, but there are a few of them. Petra-III is 
particularly proud of theirs.  But top-hats are usually defined by collimation 
of a Gaussian and the more x-rays you have hitting the back of the aperture the 
more difficult it is to control the background generated by the collimator.  If 
you can see the shadow of your pin on the detector, then you know there is a 
significant amount of "background" that is coming from upstream of your 
crystal!  My solution is to collimate at roughly the FWHM.  This chops off the 
tails and gives you a tolerably "flat" beam in the middle.

How much more intense is the peak than the tails?  Well, at the FWHM, the 
intensity is, well, half of that at the center.  At twice that distance from 
the center, you are down to 6.2%.  The equation is
exp(-log(16)*(x/hwhm)**2) where "hwhm" is 1/2 of the FHWM.

HTH!

-James Holton
MAD Scientist

On 12/30/2014 12:10 PM, Keller, Jacob wrote:
>> Yes, it gets complicated, doesn't it?  This is why I generally 
>> recommend
> trying to use a beam that matches your crystal size.
>
> ...or is bigger, right? Diffuse scattering, yes, but more even illumination 
> might be worth it?
>
> Generally, James, I have a question: what is the nature of the intensity 
> cross-sections at most beamlines--are they usually Gaussian, or are some 
> flatter? Or I guess, if Gaussian, how much more intense is the peak than the 
> tails?
>
> JPK
>
>

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