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Dr. Weiss has made a great contribution to chemistry with his studies of optical activity, especially the optical rotatory dispersion and circular dichroism of alkaloids, terpenes, and diene systems. 2 2. Polarimetry 27 Gillard, R. D. (1979). In "Optical Activity and Chiral Discrimination" (S. F. ), pp. 3 5 3 - 3 6 7 . Reidel, Boston. Greenstein, J. , and Winitz, M. (1961). "Chemistry of the Aminoacids," Vol. 1. Wiley, New York. , and Curme, H. G. (1972). In "Physical Methods of Chemistry" (A. Weissberger and B.
17) into Eqs. (18) and (19) gives C = ^ [ l + ^ } 2 + (20) and -* tv-fy- c = g (21) Therefore, C = C + 2 + C_ 2 = % ( 1 + - | ) + • (22) However, (ee) = £ / 2 2 (23) 2 so, substituting Eq. (23) into Eq. (22), C = ^ [ l + (ee) ] + % [ 1 " (ee) ] · 2 (24) 2 Finally, Eqs. (15) and (16) can be substituted into Eq. (24), and the specific isotope concentration of the isolated material related to the ee of the original mixture is r = r r 0 U + y) - y(ee)(ee) ( J C + y) - y ( e e ) " 2 2 2 2 K } This expression is often used to determine the rotations [ a ] of the original enantiomers by measuring rotations of the unresolved mixtures before, [ a , ] , and after, [ a ] , the isotope-dilution experiment.
1961). "Chemistry of the Aminoacids," Vol. 1. Wiley, New York. , and Curme, H. G. (1972). In "Physical Methods of Chemistry" (A. Weissberger and B. W. ), Part IIIC, pp. 5 1 - 1 8 1 . Wiley (Interscience), New York. Hoeve, W. , and Wynberg, H. (1980). J. Org. Chem. 45, 2754. Horeau, A. (1969). , p. 3121. Horeau, A. (1977). In "Stereochemistry, Fundamentals and Methods" (H. B. ), Vol. 3, pp. 5 1 - 9 4 . Thieme, Stuttgart. Hudson, C. S. (1909). J. Am. Chem. Soc. 39, 66. , Collet, Α . , and Wilen, S.