We determined the effect of non-uniform specimen thickness
underlying an electron probe on specimen thickness measurements
by EELS and discussed its effect on quantitation of trace element
concentrations. Our results are applicable especially, though
not solely, to biological specimens, and show that if the probed
area is not uniform, the specimen thickness measured by either
the conventional or the fitting method could deviate from the
true mean thickness by more than 30%. However, errors associated
with these two methods are in the opposite directions and,
consequently, the average of the two methods yields the best
empirical estimate of the true mean thickness. The error due
to non-uniformity of the specimen in the trace element
concentration measured in typical cryosections can reach 30%,
and its direction (overestimate or underestimate) depends on
the methods used for calculating the concentration.