R2

The equivalent radius squared minus the mean radius squared is equal to the sum of all the L2(n) terms multiplied by 0. Equation 10, therefore, relates intrinsic and extrinsic properties of the particle profile quantitatively. In addition, the radance (the sum of the L2(n) terms) can be equated to a difference between the square of the size minus the square of the mean radius.

This discussion indicates that there is a basis for the physical interpretation of the morphological features of a particle profile. The exception to this is the physical meaning of the L3(m, n) terms. This problem requires further study.

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