The optical activities of some pentose sugars have been calculated by using the one-electron theory. The relative signs calculated agree in every case with those experimentally observed while the agreement as to magnitude is satisfactory. Some general considerations concerning the superposition rules are presented. It is shown that the rule is derivable upon the basis of the additivity of the vicinal effects. In addition certain requirements on the structure of the pyranose ring must be fulfilled.
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Gorin et al. (1939) studied this question.
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