Calculations for use in spectrographic micro-volume analysis were performed for a few typical traverses across regions in a specimen where very high concentration-ratio gradients (single and double boundaries) exist. In the case of a single-boundary traverse, consideration was given to the conditions that the length of spectrograph slit's image on the photographic emulsion was less than or greater than the product of the width of the sparked crater on the specimen's surface and the ratio of camera speed to specimen speed. The usefulness of single-boundary traverses as a method for testing new traversing equipment or new procedures was indicated. It was suggested that a double boundary would be a reasonable model of some types of segregates and that quantitative analyses of those segregates could be obtained even where they are considerably narrower than the width of the sparked crater. The primary purpose of the traverse theory was to design the analytical procedure to be employed for metallurgical diffusion studies.

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