How should physical units be displayed on chart axes?

  • Context: High School 
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Discussion Overview

The discussion revolves around the correct way to display physical units on chart axes, specifically focusing on the representation of thermal resistance in relation to length. Participants explore various notational conventions, including the use of parentheses, square brackets, and slashes, as well as the implications of these choices on clarity and dimensionality.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants suggest that the convention for displaying units varies by country, with parentheses commonly used in Russian texts and square brackets in English, Polish, and German texts.
  • A participant questions the notation "K.W-1" and proposes that it should be "kW-1".
  • Another participant advocates for using square brackets, while also noting that a thin space is preferable to a dot in unit representation.
  • Some participants express differing views on the use of dots versus thin spaces, with one participant stating that both are valid according to a cited guide, while others prefer thin spaces due to personal or regional conventions.
  • There is a mention of a preference for dimensionless representations, with one participant suggesting that the slash notation is necessary to avoid confusion in algebraic expressions.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct notation for displaying units, as multiple competing views and preferences remain evident throughout the discussion.

Contextual Notes

Participants note that conventions may differ based on regional practices and personal experiences, indicating that there is no universally accepted standard for unit representation in this context.

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 ?
 
Last edited:
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"
 
Last edited by a moderator:
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}
 
Last edited:
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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