Generation of density gradients: Approximations to equivolumetric gradients for zonal rotors

Abstract

The use of a “density gradient generating function” allows the concentration profile of a density gradient to be written explicitly in terms of the required distribution of sedimentation coefficients in place of the previous implicit formulations. This function, which is easily implemented in a computer program, permits calculation of density gradients for a number of applications. This approach is applied to computation of a variety of equivolumetric gradients of sucrose for zonal rotors and yields a formula for the calibration of such gradients. An accurate approximation has been found which allows the generation of virtually all equivolumetric gradients of sucrose for a given rotor using a single program for the gradient generator employed; the adjustment for different particle densities and for different concentrations at the top of the gradient is made by varying only the initial and final concentrations of sucrose used.