I feel I should point out here that B-factors are NOT a measure of uncertainty.  They are a width.  This width itself may be uncertain, as may be the position of the center of the peak, but just because your peak is broad doesn't mean you don't know where the middle of it is.

As for why leave the mean variation squared?  I expect it is because it is supposed to be proportional to temperature. Hence the name "temperature factor".

-James Holton
MAD Scientist

On 5/27/2021 11:09 AM, Gergely Katona wrote:

Dear Jonathan,

In 1D sd may be intuitive, but in 3D it is not so much. The square root of a symmetric covariance matrix is not universally defined and it is not intuitive to me.

Best wishes,

Gergely

Gergely Katona, Professor, Chairman of the Chemistry Program Council

Department of Chemistry and Molecular Biology, University of Gothenburg

Box 462, 40530 Göteborg, Sweden

Tel: +46-31-786-3959 / M: +46-70-912-3309 / Fax: +46-31-786-3910

Web: http://katonalab.eu, Email: gergely.kat...@gu.se

*From:*CCP4 bulletin board <CCP4BB@JISCMAIL.AC.UK> *On Behalf Of *Hughes, Jonathan
*Sent:* 27 May, 2021 18:53
*To:* CCP4BB@JISCMAIL.AC.UK
*Subject:* [ccp4bb] AW: [ccp4bb] (R)MS

hey!

thank y'all for the informative (and swift!) answers! but, if the B factor (as defined) appears in a mathematical formulation, that doesn't make it an "appropriate" parameter for mobility/uncertainty. wouldn't √B be better, in the same way that, for humans, standard deviation (RMSD) is a more appropriate parameter of variability than variance? or am i missing something?

cheers

j

*Von:*Ian Tickle <ianj...@gmail.com <mailto:ianj...@gmail.com>>
*Gesendet:* Donnerstag, 27. Mai 2021 18:32
*An:* Hughes, Jonathan <jon.hug...@bot3.bio.uni-giessen.de <mailto:jon.hug...@bot3.bio.uni-giessen.de>>
*Cc:* CCP4BB@JISCMAIL.AC.UK <mailto:CCP4BB@JISCMAIL.AC.UK>
*Betreff:* Re: [ccp4bb] (R)MS

Hi Jonathan

It's historical, it's simply how it appears in the expression for the Debye-Waller factor, i.e. exp(-B sin^2(theta)/lambda^2).  So it must have the same units as lambda^2.

Cheers

-- Ian

On Thu, 27 May 2021 at 13:25, Hughes, Jonathan <jon.hug...@bot3.bio.uni-giessen.de <mailto:jon.hug...@bot3.bio.uni-giessen.de>> wrote:

    o yes! but maybe the crystal people could explain to me why the B
    factor is the variance (with units of Ų) rather than the standard
    deviation (i.e. RMS, with units of Å) when, to my simple mind, the
    latter would seem be the more appropriate description of
    variability in space?

    cheers

    jon

    *Von:*CCP4 bulletin board <CCP4BB@JISCMAIL.AC.UK
    <mailto:CCP4BB@JISCMAIL.AC.UK>> *Im Auftrag von *Pearce, N.M. (Nick)
    *Gesendet:* Donnerstag, 27. Mai 2021 12:38
    *A**n:*CCP4BB@JISCMAIL.AC.UK <mailto:CCP4BB@JISCMAIL.AC.UK>
    *Betreff:* Re: [ccp4bb] Analysis of NMR ensembles

    If you want something comparable to B-factors don’t forget to put
    the MSF in the B-factor column, not the _R_MSF. Will change the
    scaling of the tube radius considerably!

    Nick

        On 27 May 2021, at 11:16, Harry Powell - CCP4BB
        <0000193323b1e616-dmarc-requ...@jiscmail.ac.uk
        <mailto:0000193323b1e616-dmarc-requ...@jiscmail.ac.uk>> wrote:

        Cool…

        Purely for visualisation this does look like the approved CCP4
        way -

        <Screen Shot 2021-05-27 at 10.13.59.png>

        Harry

            On 27 May 2021, at 10:01, Stuart McNicholas
            <000019a0c5f649e5-dmarc-requ...@jiscmail.ac.uk
            <mailto:000019a0c5f649e5-dmarc-requ...@jiscmail.ac.uk>> wrote:

            Drawing style (right menu in display table) -> Worm scaled
            by -> Worm
            scaled by NMR variability

            in ccp4mg?

            This changes the size of the worm but not the colour.

            On Thu, 27 May 2021 at 09:56, Harry Powell - CCP4BB
            <0000193323b1e616-dmarc-requ...@jiscmail.ac.uk
            <mailto:0000193323b1e616-dmarc-requ...@jiscmail.ac.uk>> wrote:


                Anyway, thanks to all those who answered my original
                question - especially

                       Tristan: Chimerax (+ his attached script)
                       Michal, Scott: Theseus
                (https://theobald.brandeis.edu/theseus/
                <https://theobald.brandeis.edu/theseus/>)
                       Bernhard: Molmol
                (https://pubmed.ncbi.nlm.nih.gov/8744573/
                <https://pubmed.ncbi.nlm.nih.gov/8744573/>)
                       Rasmus CYRANGE
                (http://www.bpc.uni-frankfurt.de/cyrange.html
                <http://www.bpc.uni-frankfurt.de/cyrange.html>) and
                https://www.ccpn.ac.uk/ <https://www.ccpn.ac.uk/>(of
                course…)
                       Andrew (uwmn - not sure if this is buildable on
                a modern box)
                       Smita: PyMol (not sure if I’m allowed to say
                that on ccp4bb…)

                or I could script it and use Gesamt or Superpose for
                the superposition if I wanted to stay in the ccp4
                universe and had the time to spare ;-)

                Harry

                
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