EVALUATION OF MOLECULAR WEIGHT FROM EQUILIBRIUM SEDIMENTATION. PART IV: APPLICATION OF TIKHONOV'S REGULARIZING FUNCTIONS
Summary rept. Jan 1969-Feb 1970
AIR FORCE MATERIALS LAB WRIGHT-PATTERSON AFB OH
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Determination of a molecular weight distribution MWD from equilibrium sedimentation was investigated. Such a determination requires a solution of the Fujita equations, which proved to be a mathematically Improperly Posed Problem in Hadamard sense. To avoid these difficulties an approximate computational technique was applied which is based on variational calculus widened to include Tikhonovs regularizing functions. It was shown that this is an excellent method for determining a monomodal distribution. Also, the determination of a bi-modal distribution provided satisfactory results. However, a multi-modal distribution fine structure in a MWD requires the application of an additional algorithm.
- Atomic and Molecular Physics and Spectroscopy