On 11/30/2016 10:16 PM, Keller, Jacob wrote:
If you fine slice and everything is then a partial, isn't that *more* sensitive 
to lack of synchronization between the shutter and rotation axis than the 
wide-frame method where there's a larger proportion of fulls that don't 
approach the frame edges (in rotation space) ?  Especially if you're 3D profile 
fitting ?

That is how the argument seems to go in Pflugrath 1999, but I would think that 
shutter jitter is a random error, so it would seem better to have several of 
these random errors for a given spot than just one. Perhaps measuring with high 
multiplicity would have the same averaging effect.

Is fine slicing more or less beneficial at high resolutions relative to lower 
ones ?

In terms of I/sigI, it seems to be the same proportional improvement across all 
resolutions. See Fig 4 of the Pflugrath 1999 paper.

JPK

I think the problem there is that, if the shutter jitter is random with a 
constant sigma, it becomes a larger percent of the total exposure for that 
frame. It would be like taking a 1ml pipetor with an error of 2% of full scale, 
i.e. 20 ul. Because you want to average this out, you set it to 200 ul and 
pipet 5 times. The sigma of that measurement would be sqrt(5) * 20 ul, I think, 
so worse than doing it all in one shot. On the other hand if you take a 200 ul 
pipet with sigma 2% of full scale or 4 ul, and take 5 times, the error is 
sqrt(5) * 4 ul which is less than 20 ul.
Of course this would not apply to reflections that are fully recorded on one 
frame since they are not reflecting while the shutter is open/closing. Then it 
would be only variation in background.


Phil Jeffrey

Princeton

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*From:*CCP4 bulletin board [[email protected]] on behalf of Keller, Jacob 
[[email protected]]
*Sent:* Wednesday, November 30, 2016 5:44 PM
*To:* [email protected] <mailto:[email protected]>
*Subject:* Re: [ccp4bb] Effects of Multiplicity and Fine Phi with Equivalent 
Count Numbers

If the mosaicity is, say, 0.5 deg, and one is measuring 1 deg frames, about 
half the time is spent measuring non-spot background noise under spots in phi, 
which is all lumped into the intensity measurement. Fine slicing reduces this. 
But I am conjecturing that there is also fine-slicing-mediated improvement due 
to averaging out things like shutter jitter, which would also be averaged out 
through plain ol’ multiplicity.

I guess a third equal-count dataset would be useful as well: one sweep with 
six-fold finer slicing. So it would be:

One sweep, 0.6 deg, 60s

Six sweeps, 0.6 deg, 10s

One sweep, 0.1 deg, 10s

Or something roughly similar. Who will arrange the bets?

JPK

*From:*Boaz Shaanan [mailto:[email protected]]
*Sent:* Wednesday, November 30, 2016 5:19 PM
*To:* Keller, Jacob <[email protected] <mailto:[email protected]>>; 
[email protected] <mailto:[email protected]>
*Subject:* RE: Effects of Multiplicity and Fine Phi with Equivalent Count 
Numbers

Hi Jacob,

I may have missed completely your point but as far as my memory goes, the main 
argument in favour of fine slicing has always been reduction of the noise 
arising from incoherent scattering, which in the old days arose from the 
capillary, solvent, air, you name it. The noise reduction in fine slicing is 
achieved by shortening the exposure time per frame. This argument still holds 
today although the sources of incoherent scattering could be different. Of 
course, there are other reasons to go for fine slicing such as long axes and 
others. In any case it's the recommended method these days, and for good 
reasons, isn't it?

   Best regards,

                    Boaz

/Boaz Shaanan, Ph.D. //
/Dept. of Life Sciences /
/Ben-Gurion University of the Negev /
/Beer-Sheva 84105 /
/Israel /
//
/E-mail: [email protected] <mailto:[email protected]>/
/Phone: 972-8-647-2220  Skype: boaz.shaanan /
/Fax:   972-8-647-2992 or 972-8-646-1710 //

//

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*From:*CCP4 bulletin board [[email protected]] on behalf of Keller, Jacob 
[[email protected]]
*Sent:* Wednesday, November 30, 2016 11:37 PM
*To:* [email protected] <mailto:[email protected]>
*Subject:* [ccp4bb] Effects of Multiplicity and Fine Phi with Equivalent Count 
Numbers

Dear Crystallographers,

I am curious whether the observed effects of fine phi slicing might in part or 
in toto be due to simply higher “pseudo-multiplicity.” In other words, under 
normal experimental conditions, does simply increasing the number of 
measurements increase the signal and improve precision, even with the same 
number of total counts in the dataset?

As such, I am looking for a paper which, like Pflugrath’s 1999 paper, compares 
two data sets with equivalent total counts but, in this case, different 
multiplicities. For example, is a single sweep with 0.5 degree 60s exposures 
empirically, in real practice, equivalent statistically to six passes with 0.5 
degree 10s frames? Better? Worse? Our home source has been donated away to 
Connecticut, so I can’t do this experiment myself anymore.

All the best,

Jacob Keller

*******************************************

Jacob Pearson Keller, PhD

Research Scientist

HHMI Janelia Research Campus / Looger lab

Phone: (571)209-4000 x3159

Email: [email protected] <mailto:[email protected]>

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