Hi John
I agree that neutrons have a role to increase the contrast for certain atoms. 
The “water window” for x-ray imaging also fulfils a similar role. The “locally 
scaled in a complex way” is a bit beyond me.

The relationship between “ diffraction” errors and “imaging” errors is  based 
on Parseval’s theorem applied to the errors for electron densities and 
structure factors.  See for example 
https://www-structmed.cimr.cam.ac.uk/Course/Fourier/Fourier.html and scroll 
down to Parseval’s theorem. Admittedly not a primary reference but I think 
Randy (and Parseval, not to be confused with Wagner’s opera), are unlikely to 
have got it wrong.

Imaging (with both electrons and x-rays) can be lensless (as in MX, CDI and 
variants) or with an objective lens (electron microscopes have nice objective 
lenses). The physical processes are the same up to any lens but MX, CDI etc. 
use a computer to replace the lens. The computer algorithm might be imperfect 
resulting in visible termination errors. With a decent lens, one can also see 
diffraction ripples (round bright stars in a telescope image) due to the 
restricted lens aperture.

Good debate though.

Colin
From: John R Helliwell <jrhelliw...@gmail.com>
Sent: 17 February 2020 16:36
To: Nave, Colin (DLSLtd,RAL,LSCI) <colin.n...@diamond.ac.uk>
Cc: CCP4BB@JISCMAIL.AC.UK
Subject: Re: [ccp4bb] FW: [ccp4bb] [3dem] Which resolution?

Hi Colin,
Neutrons are applied to the uranyl hydrides so as to make their scattering 
lengths much more equal than with X-rays, and so side step ripple effects of 
the uranium in the Xray case, which obscures those nearby hydrogens.
In terms of feature resolvability the email exchange (and there may be better 
ones):- http://www.phenix-online.org/pipermail/phenixbb/2017-March/023326.html
refers to “locally scaled in a complex way”. So, is the physics of the 
visibility of features really comparable between the two methods of cryoEM and 
crystal structure analysis?
Greetings,
John
Emeritus Professor John R Helliwell DSc




On 17 Feb 2020, at 13:59, Nave, Colin (DLSLtd,RAL,LSCI) 
<colin.n...@diamond.ac.uk<mailto:colin.n...@diamond.ac.uk>> wrote:

Hi John
I agree that if I truncate the data at a high information content threshold 
(e.g. 2 bits)  series termination errors might hide the lighter atoms (e.g. the 
hydrogens in uranium hydride crystal structures). However, I think this is 
purely a limitation of producing electron density maps via Fourier transforms 
(i.e. not the physics). A variety of techniques are available for handling 
series termination including ones which are maximally non-committal with 
respect to the missing data. The issue is still there in some fields (see 
https://onlinelibrary.wiley.com/iucr/itc/Ha/ch4o8v0001/ ). For protein 
crystallography perhaps series termination errors have become less important as 
people are discouraged from applying some I/sigI type cut off.

Cheers
Colin



From: John R Helliwell <jrhelliw...@gmail.com<mailto:jrhelliw...@gmail.com>>
Sent: 17 February 2020 12:09
To: Nave, Colin (DLSLtd,RAL,LSCI) 
<colin.n...@diamond.ac.uk<mailto:colin.n...@diamond.ac.uk>>
Subject: Re: [ccp4bb] FW: [ccp4bb] [3dem] Which resolution?

Hi Colin,
I think the physics of the imaging and the crystal structure analysis, 
respectively without and with Fourier termination ripples, are different. For 
the MX re Fourier series for two types of difference map see our contribution:-

http://scripts.iucr.org/cgi-bin/paper?S0907444903004219

Greetings,
John

Emeritus Professor John R Helliwell DSc
https://www.crcpress.com/The-Whats-of-a-Scientific-Life/Helliwell/p/book/9780367233020





On 17 Feb 2020, at 11:26, 
"colin.n...@diamond.ac.uk<mailto:colin.n...@diamond.ac.uk>" 
<colin.n...@diamond.ac.uk wrote:


Dear all.
Would it help to separate out the issue of the FSC from the value of the 
threshold? My understanding is that the FSC addresses the spatial frequency at 
which there is a reliable information content in the image. This concept should 
apply to a wide variety of types of image. The issue is then what value of the 
threshold to use. For interpretation of protein structures (whether by x-ray or 
electron microscopy), a half bit threshold appears to be appropriate. However, 
for imaging the human brain (one of Marin’s examples) a higher threshold might 
be adopted as a range of contrasts might be present (axons for example have a 
similar density to the surroundings). For crystallography, if one wants to see 
lighter atoms (hydrogens in the presence of uranium or in proteins) a higher 
threshold might also be appropriate. I am not sure about this to be honest as a 
2 bit threshold (for example) would mean that there is information to higher 
resolution at a threshold of a half bit (unless one is at a diffraction or 
instrument limited resolution).

Most CCP4BBers will understand that a single number is not good enough. 
However, many users of the protein structure databases will simply search for 
the structure with the highest named resolution. It might be difficult to send 
these users to re-education camps.

Regards
Colin

From: CCP4 bulletin board <CCP4BB@JISCMAIL.AC.UK<mailto:CCP4BB@JISCMAIL.AC.UK>> 
On Behalf Of Petrus Zwart
Sent: 16 February 2020 21:50
To: CCP4BB@JISCMAIL.AC.UK<mailto:CCP4BB@JISCMAIL.AC.UK>
Subject: Re: [ccp4bb] [3dem] Which resolution?

Hi All,

How is the 'correct' resolution estimation related to the estimated error on 
some observed hydrogen bond length of interest, or an error on the estimated 
occupancy of a ligand or conformation or anything else that has structural 
significance?

In crystallography, it isn't really (only in some very approximate fashion), 
and I doubt that in EM there is something to that effect. If you want to use 
the resolution to get a gut feeling on how your maps look and how your data 
behaves, it doesn't really matter what standard you use, as long as you are 
consistent in the use of the metric you use. If you want to use this estimate 
to get to uncertainties of model parameters, you better try something else.

Regards
Peter Zwart



On Sun, Feb 16, 2020 at 8:38 AM Marin van Heel 
<0000057a89ab08a1-dmarc-requ...@jiscmail.ac.uk<mailto:0000057a89ab08a1-dmarc-requ...@jiscmail.ac.uk>>
 wrote:
Dear Pawel and All others ....
This 2010 review is - unfortunately - largely based on the flawed statistics I 
mentioned before, namely on the a priori assumption that the inner product of a 
signal vector and a noise vector are ZERO (an orthogonality assumption).  The 
(Frank & Al-Ali 1975) paper we have refuted on a number of occasions (for 
example in 2005, and most recently in our BioRxiv paper) but you still take 
that as the correct relation between SNR and FRC (and you never cite the 
criticism...).
Sorry
Marin

On Thu, Feb 13, 2020 at 10:42 AM Penczek, Pawel A 
<pawel.a.penc...@uth.tmc.edu<mailto:pawel.a.penc...@uth.tmc.edu>> wrote:
Dear Teige,

I am wondering whether you are familiar with

Resolution measures in molecular electron microscopy.
Penczek PA. Methods Enzymol. 2010.
Citation

Methods Enzymol. 2010;482:73-100. doi: 10.1016/S0076-6879(10)82003-8.

You will find there answers to all questions you asked and much more.

Regards,
Pawel Penczek

Regards,
Pawel
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Staff Scientist
Molecular Biophysics and Integrated Bioimaging &
Center for Advanced Mathematics for Energy Research Applications
Lawrence Berkeley National Laboratories
1 Cyclotron Road, Berkeley, CA-94703, USA
Cell: 510 289 9246

PHENIX:   http://www.phenix-online.org<http://www.phenix-online.org/>
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Diamond Light Source Ltd. cannot guarantee that this e-mail or any attachments 
are free from viruses and we cannot accept liability for any damage which you 
may sustain as a result of software viruses which may be transmitted in or with 
the message.
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Wales with its registered office at Diamond House, Harwell Science and 
Innovation Campus, Didcot, Oxfordshire, OX11 0DE, United Kingdom


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