The term used in NIST SP 811 for that quantity (mass per area) is areic
density.

I won't bothering to look for a citation just now, but I believe that
one often also encouters the term areal density for the same thing (in
physics texts, for example). Areal sounds better to my ears than areic,
but that's a personal view. Perhaps areal density would be better suited
to other ratios with area in the denominator, such as charge density
(electric charge per area): "Each plate of the capacitor is charged to
an areal density of 5 pc/m2." Again, this is merely my personal opinion;
NIST uses areic, not areal.

Jim

Pat Naughtin wrote:
> 
> Dear Mark and All,
> 
> The title on your posting, 'Paper weights' has a problem especially when you
> contradict yourself in the first line with 'paper mass'.
> 
> Neither of these is correct. The physical quantity being measured is
> correctly described as 'mass divided by area'. The SI unit for  'mass
> divided by area' is 'kilogram per square metre' and a convenient submultiple
> is 'gram per square metre', with the symbol g/m2 (with the 2 as a
> superscript).
....
-- 
Metric Methods(SM)           "Don't be late to metricate!"
James R. Frysinger, CAMS     http://www.metricmethods.com/
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