How should physical units be displayed on chart axes?

AI Thread Summary
The discussion focuses on the appropriate way to display physical units on chart axes, particularly for thermal resistance. Participants note varying conventions, including the use of parentheses, square brackets, and slashes, with some preferring dimensionless representations. There is debate over the correct notation for units, such as K.W-1 versus kW-1, and the appropriateness of using dots or thin spaces between units. Cultural differences in conventions are acknowledged, with some countries favoring specific formats. Overall, there is no universal consensus, highlighting the importance of clarity and consistency in unit representation.
pow216
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Hello,

Just wondered what the correct way is to display physical units on chart axes.

Let's say for example thermal resistance of a heatsink extrusion is plotted as a function of length, and so the units for the y-axis are K.W-1

My 'A' Level physics teacher always insisted on (in order that the axes was dimensionless):-
/K.W-1
My previous boss insisted on round brackets
(K.W-1)
and I've seen square brackets in some scientific computing applications
[K.W-1]

Whats the consensus?

Thanks people.
 
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I think the convention varies from country to country - I often see () in Russian texts.
I used to use [] in my texts (English, Polish, German) and never got it corrected by redactors.
I use () instead of [] if the natural language description is used rather than symbols, e.g.: (arbitrary units)

BTW: what is K.W-1? Shouldn't it be kW-1 ?
 
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So +1 for []

It is K.W-1 Temperature rise in Kelvin per unit power Watt
 
I would never use the dot, just a thinspace: \big[{\rm K}\,\,{\rm W}^{-1}\big] rather than \big[{\rm K}\cdot {\rm W}^{-1}\big] or \big[{\rm KW}^{-1}\big]

\big[{\rm K}/{\rm W}\big] looks OK for me too.
 
Interesting I have long been under the impression that dots were correct, have a look at #5 here:-

http://physics.nist.gov/cuu/Units/checklist.html"
 
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It says that both dots and thinspaces are equally valid.
As I noticed - the conventions may vary from country to country - the guide you cite is American one.
I learned such conventions in Poland and Germany - here dots are rarely used, they smell for me with 'primary-school-pedantry'.

BTW - I see one more difference between conventions I used to and those recommended by NIST.
I always type h=6.63\cdot 10^{-34}{\rm J}\,{\rm s}, while NIST recommends to use cross: h=6.63\times 10^{-34}{\rm J}\cdot {\rm s}
That may be a cause while I don't like dots between units...
That would be a disaster: h=6.63\cdot 10^{-34}{\rm kg}\cdot {\rm m}^{2}\cdot {\rm s}^{-1}
 
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xts said:
It says that both dots and thinspaces are equally valid

Yes it does, agreed!
 
The dimensionless option gets my vote.
The oblique ( / slash?) slash needs to be there because the label would, strictly, be W-1K but that could easily confuse a chap.
In (bog standard) algebra, one doesn't use a multiplication symbol between letters, so I should say that a dot is superfluous unless there is an actual 'dot product' involved..
 
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