<div dir="ltr">Yes, I understand all of this. Note that <i>cts/s</i> should technically be <i>Hz</i>.<div><br></div><div>That is what I am asking: does dividing two dimensionless units have any meaning? As noted above, there is an alternate and preferred way of specifying such units that has meaning and proper mathematical behaviour.</div><div><br></div><div>The FITS specification lists these units, but does not describe their usage. As a result, it leaves their interpretation up to the software developer, the creator of the FITS file, and the user, who may all have different interpretations. A common interpretation would be preferable.</div><div><br></div><div> -- Paul</div></div><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">On Fri, Jun 6, 2025 at 10:16 AM Lucio Chiappetti via fitsbits <<a href="mailto:fitsbits@listmgr.nrao.edu">fitsbits@listmgr.nrao.edu</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">On Fri, 6 Jun 2025, Barrett, Paul via fitsbits wrote:<br>
<br>
> the FITS specification (aka standard) lists several nonphysical units, <br>
> such as *pixel, voxel, photon, count, beam,* etc.<br>
<br>
I'm not talking for any oast or present FITS committee but only for myself <br>
(and common sense ?)<br>
<br>
More than "nonphysical" I'd call them "dimensionless" from the point of <br>
view of dimensional analysis <br>
<a href="https://en.wikipedia.org/wiki/Dimensional_analysis?useskin=vector" rel="noreferrer" target="_blank">https://en.wikipedia.org/wiki/Dimensional_analysis?useskin=vector</a><br>
<br>
> For example, is a *photon* equivalent to a *count* ?<br>
<br>
I guess it depends on the context. E.g. in n X-ray astronomy it is common <br>
to refer to a "count spectrum" as cts/s or cts/s/PHA channel or cts/s/bin <br>
(where channel or bins are also dimensionless), which is what the detector <br>
measures. And to a "photon spectrum" dN/dE as photon/cm2/s/keV is what <br>
the celestial source emits. The relation between the two, used in <br>
spectral fitting, is given by the convolution with the response matrix <br>
(RMF and ARF)<br>
<br>
> In other words, if I divide a *count* by a *photon*, is that unitless?<br>
<br>
I would say "dimensionless", you divide two dimensionless quantities and <br>
obtain a dimensionless quantity. If that has any meaning.<br>
<br>
> And what does *count^2* mean?<br>
<br>
Never encountered, and seems to have no meaning for me<br>
<br>
-- <br>
Lucio Chiappetti - INAF/IASF - via Corti 12 - I-20133 Milano (Italy)<br>
For more info : <a href="http://www.iasf-milano.inaf.it/~lucio/personal.html" rel="noreferrer" target="_blank">http://www.iasf-milano.inaf.it/~lucio/personal.html</a><br>
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