Line Shapes of Paramagnetic Resonances of Chromium in Ruby

Abstract

Using the formalism of the preceding paper, detailed numerical calculations are performed for the line shapes of paramagnetic resonances of chromium in ruby. Not only half-widths and intensities, but the fine details of the line shapes are accounted for, over a concentration range of about 0.01% to 1%. In particular it is found that (1) the dipolar line departs only slightly from the Lorentzian at the highest attainable concentrations, (2) the line is predominantly nondipolar at low concentrations, (3) no inference is possible from moments as to the magnitude or parametric behavior of intensities and half-widths, (4) neither exchange nor clustering of impurities affect the line shape at low concentrations, (5) exchange cannot narrow the (½,-½) transition. Various explanations for the observed residual width at vanishing concentrations are discussed in the light of these findings.