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One measures the angle A of the prism, and delta the angle of minimal
deviation for a selected wavelength, and then the refractive index
relative to air ( mu) is given by
mu = sin 1/2 (A + delta)/sin 1/2 A
The trouble with this method is that the minimum is practically flat over
the broad range of angles. Thus a very large uncertainty will always be
associated with delta. I nice mathematical relation, but not very useful
for measuring mu.