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[38] The ~ 3.5 Å O···O "peak" in liquid water diffraction studies, particularly prominent at elevated pressures, is most easily observed in x-ray, compared with neutron, diffraction experiments. This is because of the greater scattering ability of oxygen atoms compared with hydrogen atoms in x-ray diffraction. See, Yu. E. Gorbaty, Yu. N. Demianets, Mol. Phys. 55 (1985) 571.; R. Corban, M. D. Zeidler, X-ray investigation of supercooled water.,Ber. Bunsenges. Phys. Chem 96, 1463(1992)

[39] C. H. Cho, S. Singh, G. W. Robinson, Faraday Discuss. 103 (1996) 19.

[40] See, for example, T. DeFries, J. Jonas, Molecular motions in compressed liquid heavy water at low temperatures. J. Chem. Phys. 66 (1977) 5393.

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[44] C. Gripon, L. Legrand, I. Rosenman, O. Vidal, M. C. Robert, F. Boué, Lysozyme-lysozyme interactions in under- and super-saturated solutions: A simple relation between the second virial coefficients in H2O and D2O. J. Cryst. Growth 178 (1997), 575.

[45] The vibrational force constant description forms the basis for standard gas phase calculations of the viscosity from intermolecular potential functions. See, for example, the problem on page 561 of Hirschfelder, J. O.; Curtiss, C. F.; Bird, R. B. Molecular Theory of Gases and Liquids,; John Wiley & Sons; New York, 1954, and discussions preceding this problem.

[46] Cho, C. H.; Urquidi, J.; Robinson, G. W.; Thermal Lag Effect on the Viscosities of Liquid H2O, D2O, and T2O, submitted for publication.

[47] S. R. Billeter, P. M. King, W. F. van Gunsteren, Can the density maximum of water be found by computer simulation? J. Chem. Phys. 100 (1994) 6692.

[48] A. Wallqvist, P.-O. Åstrand, Liquid densities and structural properties of molecular models of water. J. Chem. Phys. 102 (1995) 6559.

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[50] H. J. C. Berendsen, J. P. M. Postma, W. F. von Gunsteren, J. Hermans, in Intermolecular Forces, B. Pullman, Ed., Reidel, Dordrecht, 1981, p. 331.

[51] C. H. Cho, S. Singh, G. W. Robinson, An explanation of the density maximum in water. Phys. Rev. Lett. 76 (1996) 1651.

[52] W. L. Jorgensen, C. Jenson, Temperature dependence of TIP3P, SPC, and TIP4P water from NPT Monte Carlo simulations. Seeking temperatures of maximum density. J. Comput. Chem. 19 (1998) 1179.

[53] F. Sciortino, S. Sastry, Sound propagation in liquid water: The puzzle continues. J. Chem. Phys. 100 (1994) 3881.

[54] S.-B. Zhu, G. W. Robinson, Molecular dynamics simulation on liquid water with non-pair-additive interacations. Proc. 4th Internat. Conf. Supercomputing II, 1989, p. 189.

[55] S.-B. Zhu, S. Yao, J.-B. Zhu, G. W. Robinson, A flexible/polarizable simple point charge water model. J. Phys Chem. 95 (1991) 6211.

[56] S.-B. Zhu, S. Singh, G. W. Robinson, A new flexible/polarizable water model. J. Chem. Phys. 95 (1991) 2791.

[57] P. H. Poole, F. Sciortino, T. Grande, H. E. Stanley, C. A. Angell, Effect of hydrogen bonds on the thermodynamic behavior of liquid water. Phys. Rev. Lett. 73 (1994) 1632.

[58] W. Kauzmann, Pressure effects on water and the validity of theories on water behavior. L'Eau Syst. Biol., Colloq. Int. C.N.R.S. 246 (1975) 63. The main difference in the mixture models described by Kauzmann and our "mixture" of two outer neighbor bonding configurations is that Kauzmann erroneously mixed not only the structures (his Eq. 1), as we do, but also the thermodynamic functions (his Eqs. 2 and 3), which we haven’t done because of variable non-ideal interactions between the two configurations. Many other flaws in the Kauzmann mixture model appear on careful reading of his paper, such as the unphysical assumption mentioned below his Eq. 1 of an invariant aggregate size n with changing T and P.