Theoretical basis of isotope effects from an autobiographical perspective

Isotope Effects in Chemistry and Biology

Volumn , Issue , 2005, Pages 1-39

  Bigeleisen, Jacob ^a  

^a STONY BROOK UNIVERSITY   (United States)

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EID: 84973602702     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9781420028027     Document Type: Chapter

References (158)

1. Soddy, F., The chemistry of mesothorium, J. Chem. Soc., 99, 72-83, 1911.
2. Fajans, K., The periodic system of elements, the radioactive transformations, and the structure of the atom, Physik. Z., 16, 456-486, 1915.
3. Lindemann, F. A., Note on the vapor pressure and affinity of isotopes, Philos. Mag., 38, 173-181, 1919.
4. Lindemann, F. A. and Aston, F. W., The possibility of separating isotopes, Philos. Mag., 37, 523-535, 1919.
5. Keesom, W. H. and VanDijk, H., Possibility of separating neon into its isotopic components by distillation, Proc. R. Acad. Sci. Amsterdam, 34, 42-50, 1931.
6. Urey, H. C., Brickwedde, F. G., and Murphy, G. M., Phys. Rev., 39, 164-165, 1932.
7. Urey, H. C., Brickwedde, F. G., and Murphy, G. M., The hydrogen isotope of mass 2 and its concentration, Phys. Rev., 40, 1-15, 1932.
8. Urey, H. C. and Rittenberg, D., Some thermodynamic properties of the H1H2, H2H2 molecules and compounds containing the H2 atom, J. Chem. Phys., 1, 137-143, 1933.
9. Rittenberg, D. and Urey, H. C., The thermal decomposition of deuterium iodide, J. Am. Chem. Soc., 56, 1885-1889, 1934.
10. Urey, H. C. and Greiff, L. J., Isotopic exchange equilibria, J. Am. Chem. Soc., 57, 321-327, 1935.
11. Urey, H. C., Thode, H. G., and Gorham, J. E., The concentration of N15 and S34, J. Chem. Phys., 6, 296, 1938.
12. Lewis, G. N. and MacDonald, R. T., Separation of lithium isotopes, J. Am. Chem. Soc., 58, 2519-2524, 1936.
13. Dieke, G. H. and Duncan, A. B. F., Spectroscopic Properties of Uranium Compounds, McGraw Hill Book Co. Inc., New York, 1949.
14. Mayer, M. G., Equilibrium Constants, SAM Report 4-M-159, Technical Information Division, Oak Ridge, TN April 8, 1944.
15. Hutchinson, C. A. Jr., Chemical Separation of the Uranium Isotopes, NNES, Division III, Technical Information Division, Vol. 3, United States Atomic Energy Commission, Oak Ridge, TN, 1952.
16. Bigeleisen, J. and Mayer, M. G., Calculation of equilibrium constants for isotopic exchange reactions, J. Chem. Phys., 15, 261-267, 1947.
17. Waldmann, L., The theory of isotope separation by exchange reactions, Naturwissenschaften, 31, 205-206, 1943.
18. Bigeleisen, J. and Ishida, T., Application of finite orthogonal polynomials to the thermal functions of harmonic oscillators. I. Reduced partition function of isotopic molecules, J. Chem. Phys., 48, 1311-1330, 1968.
19. Urey, H. C., Thermodynamic properties of isotopic substances, J. Chem. Soc., 562-581, 1947.
20. Kotaka, M., Okamoto, M., and Bigeleisen, J., Anomalous mass effects in isotopic exchange equilibria, J. Am. Chem. Soc., 114, 6436-6445, 1992.
21. Stern, M. J., Spindel, W., and Monse, E. U., Temperature dependences of isotope effects, J. Chem. Phys., 48, 2908-2919, 1968.
22. Perlman, M., Bigeleisen, J., and Elliott, N., Equilibrium in the exchange of deuterium between ammonia and hydrogen, J. Chem. Phys., 21, 70-72, 1953.
23. Spindel, W. and Taylor, T. I., Preparation of 99.8% nitrogen-15 by chemical exchange, J. Chem. Phys., 24, 626-627, 1956.
24. Clusius, K., Schleich, K., and Vecchi, M., Results of low-temperature research. XXIX. Anomalous large vapor-pressure differences between N14016 and N15O18, Helv. Chim. Acta, 42, 2654-2666, 1959.
25. Roth, E., Bedhome, A., Lefrancois, B., Le Chatelier, J., and Tillol, A., Heavy water plant of Mazingarbe, Energie Nucleaire, 10, 214-219, 1968.
26. Woodward, R.W. et al., Y-185 Report of the Y-12 Plant, US Atomic Energy Commission, Oak Ridge, TN, 1949.
27. Palko, A. A., Drury, J. S., and Begun, G. M., Lithium isotope separation factors of some two-phase equilibrium systems, J. Chem. Phys., 64, 1828-1837, 1976.
28. Seko, M., Miyake, T., Inada, K., and Takeda, K., Uranium isotope enrichment by chemical method, Nucl. Technol., 50, 178-186, 1980.
29. Dujardin, T. and Longchampt, G., Review of the French Chemex Process, In Proceedings of the International Symposium on Isotope Separation and Chemical Exchange Enrichment, Fujii, Y., Ishida, T., and Takeuchi, K., Eds., pp. 161-171, 1990.
30. Bigeleisen, J., The relative reaction velocities of isotopic molecules, J. Chem. Phys., 17, 675-679, 1949.
31. Bigeleisen, J. and Wolfsberg, M., Theoretical and experimental aspects of isotope effects in chemical kinetics, In Advances in Chemical Physics I, Prigogine, I., Ed., Interscience Publishers, New York, pp. 15-76, 1958.
32. Cleland, W. W., O’Leary, M. H., and Northrop, D. B., Isotope effects on enzyme catalyzed reactions, University Park Press, Baltimore, MD, 1977.
33. Melander, L. and Saunders, W. H. J., Reaction rates of isotopic molecules, Wiley, New York, 1980.
34. Bigeleisen, J., Statistical mechanics of isotope effects on the thermodynamic properties of condensed systems, J. Chem. Phys., 34, 1485-1493, 1961.
35. Jansco, G. and Van Hook, W., Condensed phase isotope effects, Chem. Rev., 74, 689-750, 1974.
36. Jansco, G., Rebelo, L. P. N., and Van Hook, W., Isotope effects in solution thermodynamics: excess properties in solutions of isotopomers, Chem. Rev., 93, 2645-2666, 1993.
37. Hoefs, J., Stable Isotope Geochemistry, Springer Verlag, Heidelberg-Berlin, 1973.
38. Taylor, H. P. Jr., O’Neill, J. R., and Kaplan, I. R., Stable Isotope Geochemistry: A Tribute to Samuel Epstein, Vol. Special Publication No. 3, The Geochemical Society, Trinity University, San Antonio, TX, 1991.
39. Wolfsberg, M., Correction to the effect of anharmonicity on isotopic exchange equilibria. Application to Polyatomic Molecules, J. Chem. Phys., 50, 1484-1486, 1969.
40. Urey, H. C., Lowenstam, H., Epstein, S., and McKinney, C. R., Measurement of paleotemperatures and temperatures of the upper cretaceous of England Denmark, and the Southeastern United States, Bull. Geol. Soc. Am., 62, 399-416, 1951.
41. Epstein, S., Buchsbaum, R., Lowenstam, H., and Urey, H. C., Carbonate-water isotopic temperature scale, Geo. Soc. Am. Bull., 62, 417-426, 1951.
42. Bron, J., Chang, C. F., and Wolfsberg, M., Isotopic partition function ratios involving hydrogen, water, hydrogen sulfide, hydrogen selenide, and ammonia, Z. Naturforsch, 28, 129-136, 1973.
43. Hartshorn, S. R. and Shiner, V. J. Jr., Calculation of H/D carbon-12/carbon-13, and carbon-12/carbon-14 fractionation factors from valence force fields derived for a series of simple organic molecules, J. Am. Chem. Soc., 94, 9002-9012, 1972.
44. Monse, E. U., Spindel, W., and Stern, M. J., Analysis of isotope-effect calculations illustrated with exchange equilibriums among oxynitrogen compounds, Adv. Chem. Ser., 89, 148-184, 1969.
45. DeFrees, D. J., Hassner, D. Z., Hehre, W. J., Peter, E. A., and Wolfsberg, M., A priori calculations in isotopic exchange equilibriums, J. Am. Chem. Soc., 100, 641-643, 1978.
46. Hout, R. F., Wolfsberg, M., and Hehre, W. J., Direct calculation of equilibrium constants for isotopic exchange reactions by ab initio molecular orbital theory, J. Am. Chem. Soc., 102, 3296-3298, 1980.
47. Wolfsberg, M., Correction to the effect of anharmonicity on isotopic exchange equilibria, In Isotopes and Chemical Processes, Advances in Chemistry Series, 89, Gould, R. F., Ed., American Chemical Society, Washington, DC, pp. 185-191, 1969.
48. Kleinman, L. I. and Wolfsberg, M., Corrections to the Born-Oppenheimer approximation and electronic effects on isotopic exchange equilibria, J. Chem. Phys., 59, 2043-2053, 1973.
49. Kleinman, L. I. and Wolfsberg, M., Shifts in vibrational constants from corrections to the Born -Oppenheimer approximation: effects on isotopic exchange equilibria, J. Chem. Phys., 60, 4749-4754, 1974.
50. Wolfsberg, M. and Kleinman, L. I., Corrections to the Born-Oppenheimer approximation in the calculation of isotope effects on equilibrium constants, In Isotopes and Chemical Principles, Rock, P., Ed., American Chemical Society, Washington, DC, pp. 64-76, 1975.
51. Bardo, R. D. and Wolfsberg, M., A theoretical calculation of the equilibrium constant for the isotopic exchange reaction between water and hydrogen deuteride, J. Phys. Chem., 80, 1068-1071, 1976.
52. 2O, Z. Naturforsch, 4a, 328-332, 1949.
53. Cerrai, E., Marchetti, C., Renzoni, R., Rosso, L., Silvestri, M., and Villari, S., Chem. Eng. Prog. Symp. Ser., 50, 271, 1954.
54. Rolston, J. H., Den Hartog, J., and Butler, J. P., The deuterium isotope separation factor between hydrogen and liquid water, J. Phys. Chem., 80, 1064-1067, 1976.
55. Bigeleisen, J., Nuclear size and shape effects in chemical reactions. Isotope chemistry of the heavy elements, J. Am. Chem. Soc., 118, 3676-3680, 1996.
56. Fujii, Y., Nomura, M., Okamoto, M., Onitsuka, H., Kawakami, F., and Takeda, K., An anomalous isotope effect of uranium-235 in uranium(IV)-uranium(VI) chemical exchange, Z. Naturforsch, 44, 395-398, 1989.
57. Nomura, M., Higuchi, N., and Fujii, Y., Mass dependence of uranium isotope effects in the U(IV)-U(VI) exchange reaction, J. Am. Chem. Soc., 118, 9127-9130, 1996.
58. Bigeleisen, J., Statistical mechanics of isotopic systems with small quantum corrections. I. General considerations and the rule of the geometric mean, J. Chem. Phys., 23, 2264-2267, 1955.
59. Bigeleisen, J., The significance of the product and sum rules to isotope fractionation processes, In Proceedings of the Amsterdam Symposium on Isotope Separation, Kistemaker, J., Bigeleisen, J., and Nier, A. O. C., Eds., North Holland Publishing Co., Amsterdam, pp. 121-157, 1959.
60. Singh, G. and Wolfsberg, M., Calculation of isotopic partition function ratios by a perturbation theory technique, J. Chem. Phys., 62, 4165-4180, 1975.
61. Bigeleisen, J., Quantum mechanical foundations of isotope chemistry, In Isotopes and Chemical Principles, Rock, P., Ed., American Chemical Society, Washington, pp. 1-28, 1975.
62. Bigeleisen, J. and Ishida, T., Application of finite orthogonal polynomials to the thermal functions of harmonic oscillators. V. Isotope chemistry and molecular structure. Simplified theory of end atom isotope effects, J. Am. Chem. Soc., 95, 6155-6157, 1973.
63. Wolfsberg, M. and Stern, M. J., Validity of some approximation procedures used in the theoretical calculation of isotope effects, Pure Appl. Chem., 8, 225-242, 1964.
64. Stern, M. J. and Wolfsberg, M., The absence of isotope effects in the absence of force constant changes, J. Chem. Phys., 45, 2618-2630, 1966.
65. Bigeleisen, J., Lee, M. W., Ishida, T., and Bigeleisen, P. E., Approximation of isotopic reduced partition function ratios by the WINIMAX polynomial perturbation method (WIMPER), J. Chem. Phys., 68, 3501-3510, 1978.
66. Lee, M. W. and Bigeleisen, J., Generalized finite polynomial approximation (WINIMAX) to the reduced partition function of isotopic molecules, J. Chem. Phys., 68, 3496-3500, 1978.
67. Nemeth, G., Gellai, B., and Jansco, G., Application of the minimax approximation to the reduced partition function of isotopic molecules, J. Chem. Phys., 54, 1701-1708, 1971.
68. Ishida, T., Spindel, W., and Bigeleisen, J., Theoretical analysis of chemical isotope fractionation by orthogonal polynamial methods, In Isotopes and Chemical Processes, Advances in Chemistry Series, Vol. 89, Gould, R. F., Ed., American Chemical Society, Washington, DC, pp. 192-247, 1969.
69. Bigeleisen, J., Ishida, T., and Lee, M. W., Correlation of the isotope chemistry of hydrogen, carbon, and oxygen with molecular forces by the WIMPER (2) method, J. Chem. Phys., 74, 1799-1816, 1981.
70. Bigeleisen, J., Ishida, T., and Spindel, W., Correlation of isotope effects with molecular forces. I. The diatomic molecule, Proc. Nat. Acad. Sci. U.S.A., 53, 113-119, 1970.
71. Ishida, T. and Bigeleisen, J., Isotope chemistry and molecular structure. Deviations from the first rule of the mean, J. Chem. Phys., 64, 4775-4789, 1979.
72. 2X = 2HDX, J. Chem. Phys., 53, 3138-3146, 1970.
73. Skaron, S. A. and Wolfsberg, M., The calculation of isotopic partition functions ratios by a perturbation theory technique. 2. Dissection of the isotope effect, J. Am. Chem. Soc., 99, 5253-5261, 1977.
74. Eyring, H. and Polanyi, M., Simple gas reactions, Z. physik. Chem., 12, 279-311, 1931.
75. Marcellin, M. R., Contribution to the study of physical chemistry-kinetics. Part I, Ann. Phys., 3, 120-184, 1915.
76. Pelzer, H. and Wigner, E., Velocity coefficient of interchange reactions, Z. physik. Chem., B15, 445-471, 1932.
77. Eyring, H., Activated complex in chemical reactions, J. Chem. Phys., 3, 107-115, 1935.
78. Evans, M. G. and Polanyi, M., Application of the transition-state method to the calculation of reaction velocities, especially in solution, Trans. Faraday Soc., 31, 875-894, 1935.
79. Farkas, L. and Wigner, E., Calculation of the rate of elementary reactions of light and heavy hydrogen, Trans. Faraday Soc., 32, 708-723, 1936.
80. Hirschfelder, J., Eyring, H., and Topley, B., Reactions involving hydrogen molecules and atoms, J. Chem. Phys., 4, 170-177, 1936.
81. Yankwich, P. E. and Calvin, M., An effect of isotopic mass on the rate of a reaction involving the carbon-carbon bond, J. Chem. Phys., 17, 109-110, 1949.
82. Willi, A. V., Isotopeneffekte bei Chemischen Reaktionen, Georg Thieme Verlag, Stuttgart, 1983.
83. Bigeleisen, J., The validity of the use of tracers to follow chemical reactions, Science, 110, 14-16, 1949.
84. Bigeleisen, J., Isotope effect in the decarboxylation of labelled malonic acids, J. Chem. Phys., 17, 425-426, 1949.
85. Bigeleisen, J. and Friedman, L., 13C isotope effects in the decarboxylation of labeled malonic acid, J. Chem. Phys., 17, 998-999, 1949.
86. Lindsay, J. G., Bourns, A. N., and Thode, H. G., Influence of temperature on the intermolecular carbon13 isotope effect in the decarboxylation of normal malonic acid, Can. J. Chem., 30, 163-165, 1952.
87. Roe, A. and Hellmann, M., Determination of an isotope effect in the decarboxylation of malonic-1-C14 acid, J. Chem. Phys., 19, 660, 1951.
88. Yankwich, P. E. and Promislow, A. L., Intramolecular carbon isotope effect in the decarboxylation of liquid malonic acid near the melting point, J. Am. Chem. Soc., 76, 4648-4651, 1954.
89. Yankwich, P. E., Promislow, A. L., and Nystrom, R. F., C14 and C13 intramolecular isotope effects in the decarboxylation of liquid malonic acid at 140.5, J. Am. Chem. Soc., 76, 5893-5894, 1954.
90. Griggs, E. C. M., C14 intramolecular isotope effects of malonic and bromomalonic acids, Aust. J. Chem., 9, 252-257, 1956.
91. Stern, M. J. and Wolfsberg, M., Theoretical considerations of carbon isotope effects in the decarboxylation of malonic acid, J. Chem. Phys., 39, 2776-2777, 1963.
92. Wolfsberg, M., Isotope effects on reaction rates and the reaction coordinate, J. Chem. Phys., (1960), 21-22, 1960.
93. Jones, W. M., The relative rates of reaction of hydrogen and tritium hydride with chlorine, J. Chem. Phys., 19, 78-85, 1951.
94. Wheeler, A., Topley, B., and Eyring, H., Absolute rates of reaction of hydrogen with the halogens, J. Chem. Phys., 4, 178-187, 1936.
95. Magee, J. L., Directed valence in chemical reactions, J. Chem. Phys., 8, 677-687, 1940.
96. 2Cl transition complex through the use of hydrogen isotope effects, J. Chem. Phys., 23, 1535-1539, 1955.
97. Sato, S., Potential energy surface of a system of three atoms, J. Chem. Phys., 23, 2465-2466, 1955.
98. 2Cl transition complex, J. Chem. Phys., 30, 1340-1351, 1959.
99. Stern, M. J., Persky, A., and Klein, F. S., Force field and tunneling effects in the molecular hydrogenatomic chlorine reaction system. Determination from kinetic isotope effect measurements, J. Chem. Phys., 58, 5697-5706, 1973.
100. Weston, R. E. Jr., A survey of reactions involving H’, H”, and chlorine atoms, J. Phys. Chem., 83, 61-68, 1979.
101. 2Cl system and its use for calculations of rate coefficients and kinetic isotope effects, J. Phys. Chem., 100, 13575-13587, 1996.
102. 2reactive system, J. Chem. Phys., 112, 220-229, 2000.
103. 2reaction, J. Phys. Chem., 100, 13588-13593, 1996.
104. 2+ Cl = H + HCl reaction, Chem. Phys. Lett., 313, 647-654, 1999.
105. 2reactions between 296 and 3000 K, J. Chem. Phys., 101, 9487-9498, 1994.
106. 2between approximately 1150 and 2100 K, J. Phys. Chem., 108, 432-437, 2004.
107. Mielke, S. L., Garrett, B. C., and Peterson, K. A., The utility of many-body decompositions for the accurate basis set extrapolation of ab initio data, J. Chem. Phys., 111, 3806-3811, 1999.
108. 2reaction ranging in quality from double-zeta to the complete basis set limit, J. Phys. Chem. A., 106, 1557-1566, 2002.
109. 2system, J. Phys. Chem., 98, 8000-8008, 1994.
110. 2thermal reaction: a convergence of theory and experiment, Phys. Rev. Lett., 91, 063201/1-063201/4, 2003.
111. Rabinovich, I. B., Influence of Isotopy on the Physicochemical Properties of Liquids, Consultants Bureau, New York, 1970.
112. Topley, B. and Eyring, H., Separation of the hydrogen isotopes by electrolysis. I, J. Chem. Phys., 2, 217-230, 1934.
113. Van Hook, W., Condensed matter isotope effects, Isotope Effects in Chemisty and Biology, pp. 119-152.
114. Bigeleisen, J., Vapor pressures of isotopic molecules, J. Chim. Phys., 60, 35-43, 1963.
115. Bigeleisen, J., Lee, M. W., and Mandel, F., Equilibrium isotope effects, Ann. Rev. Phys. Chem., 24, 407-440, 1973.
116. Jansco, G., Isotope effects, In Handbook of Nuclear Chemistry, Vertes, A., Nagy, S., and Klencsar, Z., Eds., pp. 85-116, 2003.
117. Armstrong, G. T., Brickwedde, F. G., and Scott, R. B., Vapor pressure of the methanes, J. Res. Natl. Bur. Stand., 55, 39-52, 1955.
118. Grilly, E. R., The vapor pressures of hydrogen, deuterium, and tritium up to three atmospheres, J. Am. Chem. Soc., 73, 843-846, 1951.
119. de Boer, J., Quantum theory of condensed permanent gases. I. The law of corresponding states, Physica, 14, 139-148, 1948.
120. Herzfeld, K. F. and Teller, E., Vapor pressure of isotopes, Phys. Rev., 54, 912-915, 1938.
121. Bigeleisen, J., Statistical mechanics of isotopic systems with small quantum corrections, Phys. Rev., 99A, 638, 1955.
122. Libby, W. F. and Barter, C. A., Vapor pressures of the tritium liquid hydrogens. Dependence of hydrogen vapor pressure on mass of the molecule, J. Chem. Phys., 10, 184-186, 1942.
123. Bigeleisen, J. and Kerr, E. C., Vapor pressure of HT, J. Chem. Phys., 23, 2442-2443, 1955.
124. 2from the triple points to the critical temperatures of the solutions, J. Chem. Phys., 39, 763-768, 1963.
125. Babloyantz, A., Rotational effect on the thermodynamic properties of isotopes, Mol. Phys., 2, 39-48, 1959.
126. Bigeleisen, J., Quantum effects in liquid hydrogen, J. Chem. Phys., 39, 769-777, 1963.
127. Keesom, W. H. and Haantjes, J., Vapor pressures of neon of different isotopic compositions, Physica, 2, 986-999, 1935.
128. Giauque, W. F. and Egan, C. J., Carbon dioxide. The heat capacity and vapor pressure of the solid. The heat of sublimation. Thermodynamic and spectroscopic values of the entropy, J. Chem. Phys., 5, 45-54, 1937.
129. Johnston, H. L., Clarke, J. T., Rifkin, E. B., and Kerr, E. C., Condensed gas calorimetry. I. Heat capacities, latent heats and entropies of pure para-hydrogen from 12.7 to 20.3 K. Description of the condensed gas calorimeter in use in the Cryogenic Laboratory of the Ohio State University, J. Am. Chem. Soc., 72, 3933-3938, 1950.
130. Roth, E. and Bigeleisen, J., Vapor pressures of the neon isotopes, J. Chem. Phys., 32, 612, 1960.
131. Bigeleisen, J. and Roth, E., Vapor pressure of the neon isotopes, J. Chem. Phys., 35, 68-77, 1961.
132. Boato, G., Scoles, G., and Vallauri, M. E., Vapor pressure of isotopic liquids. I. Ar, N, O, below the boiling-point, Nuovo Cimento, 14, 735-747, 1959.
133. Boato, G., Casanova, G., Scoles, G., and Vallauri, M. E., Vapor Pressure of Isotopic Liquids III. Some corrections to previous papers, Nuovo Cimento, 20, 87-93, 1961.
134. Furukawa, G. T., Vapor pressures of natural neon and of the isotopes neon20 and neon22 from the triple point to the normal boiling point, Metrologia, 8, 11-27, 1972.
135. Clusius, K., Flubacher, P., Piesbergen, U., Schleich, K., and Sperandio, A., Results of lowtemperature research. XXVII. Comparison of the atomic heat, heat of fusion, and entropies of the condensed isotopes Ne20 and Ne22, Z. Naturforsch, 15a, 1-9, 1960.
136. Bernardes, N., Theory of solid neon, argon, krypton, and xenon at 0 K, Phys. Rev., 112, 1534-1539, 1958.
137. 2O, J. Chem. Phys., 35, 1297-1305, 1961.
138. Bigeleisen, J., Ribnikar, S. V., Slobodan, V., and Van Hook, W., Molecular geometry and the vapor pressure of isotopic molecules. Equivalent isomers cis-gem-, and trans-dideuterioethylenes, J. Chem. Phys., 38, 489-496, 1963.
139. 2, J. Chem. Phys., 38, 497-505, 1963.
140. Wolfsberg, M., Isotope effects on intermolecular interactions and isotopic vapor pressure differences, J. Chim. Phys., 60, 15-22, 1963.
141. Stern, M. J., Van Hook, W., and Wolfsberg, M., Isotope effects on internal frequencies in the condensed phase resulting from interactions with the hindered translations and rotations. The vapor pressures of the isotopic ethylenes, J. Chem. Phys., 39, 3179-3196, 1963.
142. Bigeleisen, J., Brooks, F. P., Ishida, T., and Ribnikar, S. V., Cryostat for thermal measurements between 2 to 300 K, Rev. Sci. Instrum., 39, 353-356, 1968.
143. Van Hook, W., Vapor pressures of the deuterated ethanes, J. Chem. Phys., 44, 234-251, 1966.
144. Bigeleisen, J., Fuks, S., Ribnikar, S. V., and Yato, Y., Vapor pressures of the isotopic ethylenes. V. Solid and liquid ethylene-d1, ethylene-d2 (cis, trans, and gem), ethylene-d3, and ethylene-d4, J. Chem. Phys., 66, 1689-1700, 1977.
145. Clusius, K., Schleich, K., and Vogelmann, M., Low-temperature research. XL. The vapor pressures of Ar36 and Ar40 between the melting and boiling points, Helv. Chim. Acta, 46, 1705-1714, 1963.
146. Boato, G., Casanova, G., and Vallauri, M. E., Vapor pressure of isotopic liquids II. Ne and Ar above the boiling point, Nuovo Cimento, 16, 505-520, 1960.
147. Lee, M. W., Fuks, S., and Bigeleisen, J., Vapor pressures of argon-36 and argon-40 intermolecular forces in solid and liquid argon, J. Chem. Phys., 53, 4066-4075, 1970.
148. Phillips, J. T., Linderstrom-Lang, C. U., and Bigeleisen, J., Liquid-vapor argon isotope fractionation from the triple point to the critical point. Mean Laplacian of the intermolecular potential in liquid argon, J. Chem. Phys., 56, 5053-5062, 1972.
149. Singh, R. R. and Van Hook, W., Excess free energy in solutions of isotopic isomers. I. Monatomic species. II. Polyatomic species, J. Chem. Phys., 86, 2969-2975, 1987.
150. Prigogine, I., Bellemans, A., and Mathot, V., Molecular Theory of Solutions, North Holland Publishing Co., Amsterdam, 1957.
151. Rebelo, L. P. N., Dias, F. A., Lopes, J. N. C., and Calado, J. C. G., Nunes da Ponte M. Evidence for nonideality in the fundamental liquid mixture (36Ar + 40Ar), J. Chem. Phys., 113, 8706-8716, 2000.
152. Lee, M. W. and Bigeleisen, J., Calculation of the mean force constants of the rare gases and the rectilinear law of mean force, J. Chem. Phys., 67, 5634-5638, 1977.
153. Lopes, J. N. C., Padua, A. A. H., Rebelo, L. P. N., and Bigeleisen, J., Calculation of VPIE in the rare gases and their mixtures using an integral equation theory, J. Chem. Phys., 118, 5028-5037, 2003.
154. Klein, M. L., Blizard, W., and Goldman, V. V., Calculation of the vapor-pressure ratio of the isotopes of solid neon and argon, J. Chem. Phys., 52, 1633-1635, 1970.
155. Lee, M. W., Calculation of the lattice modes of the isotopic carbon dioxide molecules and their reduced partition function ratios, J. Chem. Phys., 62, 2094-2097, 1975.
156. Bilkadi, Z., Lee, M. W., and Bigeleisen, J., Phase equilibrium isotope effects in molecular solids and liquids. Vapor pressures of the isotopic carbon dioxide molecules, J. Chem. Phys., 62, 2087-2093, 1975.
157. Yato, Y., Lee, M. W., and Bigeleisen, J., Phase equilibrium isotope effects in molecular solids and liquids. Vapor pressures of the isotopic nitrous oxide molecules, J. Chem. Phys., 63, 1555-1563, 1975.
158. Popowicz, A. M., Lu, T. H., and Bigeleisen, J., Temperature dependence of the liquid-vapor isotopic fractionation factors in methane-d3-methane and fluoromethane-d3-fluoromethane, Z. Naturforsch, 46, 60-68, 1991.