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70. D.J. Segelstein, The complex refractive index of water. M.S. Thesis, University of Missouri,
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71. J.E. Bertie, Z. Lan, Infrared intensities of liquids XX: the intensity of the OH stretching band
of liquid water revisited, and the best current values of the optical constants of H 2 O(l) at 25
◦ C between 15,000 and 1 cm −1 . Appl. Spectrosc. 5, 1047–1057 (1996)
72. V.G. Artemov, Dielectric spectrum of water as a proton dynamics response. Bull. Lebedev
Phys. Inst. 42, 187–191 (2015)
73. U. Møller, D.G. Cooke, K. Tanaka, P.U. Jepsen, Terahertz reflection spectroscopy of Debye
relaxation in polar liquids. J. Opt. Soc. Am. B. 26, A113–A125 (2009)
74. K. Shiraga, K. Tanaka, T. Arikawa, S. Saito, Y. Ogawa, Reconsideration of the relaxational
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Phys. Chem. Chem. Phys. 20, 26200–26209 (2018)
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76. L. Shi, Y. Ni, S.E.P. Drews, J.L. Skinner, Dielectric constant and low-frequency infrared
spectra for liquid water and ice Ih within the E3B model. J. Chem. Phys. 141, 084508–10
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77. M. Heyden, J. Sun, S. Funkner, G. Mathias, H. Forbert, M. Havenith, D. Marx, Dissecting the
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78. S. Carlson, F.N. Brünig, P. Loche, D.J. Bonthuis, R.R. Netz, Exploring the absorption spectrum
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79. H. Torii, Intermolecular electron density modulations in water and their effects on the farinfrared spectral profiles at 6 THz. J. Phys. Chem. B. 115, 6636–6643 (2011)
80. G.E. Walrafen, Y.C. Chu, G.J. Piermarini, Low-frequency Raman scattering from water at
high pressures and high temperatures. J. Phys. Chem. 100, 10363–10372 (1996)
81. D. Decka, G. Schwaab, M. Havenith, THz/FTIR fingerprint of the solvated proton: evidence
for Eigen structure and Zundel dynamics. Phys. Chem. Chem. Phys. 17, 11898–11907 (2015)
82. D.F. Coker, R.O. Watts, Structure and vibrational spectroscopy of the water dimer using
quantum simulation. J. Phys. Chem. 91, 2513–2518 (1987)
83. G.E. Walrafen, Raman spectrum of water: transverse and longitudinal acoustic modes below
≈ 300 cm −1 and optic modes above ≈ 300 cm −1 . J. Phys. Chem. 94, 2237 (1990)
84. D.M. Carey, G.M. Korenowski, Measurement of the Raman spectrum of liquid water. J. Chem.
Phys. 108, 2669–2675 (1998)
85. G.E. Walrafen, Raman spectral studies of the effects of temperature on water and electrolyte
solutions. J. Chem. Phys. 44, 1546–1558 (1966)
86. P. Brüesch, L. Pietronero, S. Strässler, H.R. Zeller, Brownian motion in a polarizable lattice:
application to superionic conductors. Phys. Rev. B 15, 4631–4637 (1977)
87. M.B. Salamon (ed.), Physics of Superionic Conductors (Springer, Berlin, 1979)
88. H. Lapid, N. Agmon, M.K. Petersen, G.A. Voth, A bond-order analysis of the mechanism for
hydrated proton mobility in liquid water. J. Chem. Phys. 122, 14506–11 (2005)
89. J. Kim, U.W. Schmitt, J.A. Gruetzmacher, G.A. Voth, N.E. Scherer, The vibrational spectrum
of the hydrated proton: comparison of experiment, simulation, and normal mode analysis. J.
Chem. Phys. 116, 737–746 (2002)
90. M. Eigen, Proton transfer, acid-base catalysis, and enzymatic hydrolysis. Part I: elementary
processes. Angew. Chem. Int. Ed. Engl. 3, 1–19 (1964)
91. C. Rønne, P.O. Åstrand, S.R. Keiding, THz spectroscopy of liquid H 2 O and D 2 O. Phys. Rev.
Lett. 82, 2888–2891 (1999)
92. I. Ohmine, Liquid water dynamics: collective motions, fluctuation, and relaxation. J. Phys.
Chem. 99, 6767 (1995)
103
68. M.R. Querry, B. Curnutte, D. Williams, Refractive index of water in the infrared. J. Opt. Soc.
Am. 59, 1299–1305 (1969)
69. N. Agmon, Infrared spectroscopy: the acid test for water structure. Nat. Chem. 8, 206–207
(2016)
70. D.J. Segelstein, The complex refractive index of water. M.S. Thesis, University of Missouri,
Kansas City 1981
71. J.E. Bertie, Z. Lan, Infrared intensities of liquids XX: the intensity of the OH stretching band
of liquid water revisited, and the best current values of the optical constants of H 2 O(l) at 25
◦ C between 15,000 and 1 cm −1 . Appl. Spectrosc. 5, 1047–1057 (1996)
72. V.G. Artemov, Dielectric spectrum of water as a proton dynamics response. Bull. Lebedev
Phys. Inst. 42, 187–191 (2015)
73. U. Møller, D.G. Cooke, K. Tanaka, P.U. Jepsen, Terahertz reflection spectroscopy of Debye
relaxation in polar liquids. J. Opt. Soc. Am. B. 26, A113–A125 (2009)
74. K. Shiraga, K. Tanaka, T. Arikawa, S. Saito, Y. Ogawa, Reconsideration of the relaxational
and vibrational line shapes of liquid water based on ultrabroadband dielectric spectroscopy.
Phys. Chem. Chem. Phys. 20, 26200–26209 (2018)
75. A.A. Volkov, V.G. Artemov, A.A. Volkov (Jr), N.N. Sysoev, Possible mechanism of molecular
motion in liquid water from dielectric spectroscopy data. J. Mol. Liq. 248, 564–568 (2017)
76. L. Shi, Y. Ni, S.E.P. Drews, J.L. Skinner, Dielectric constant and low-frequency infrared
spectra for liquid water and ice Ih within the E3B model. J. Chem. Phys. 141, 084508–10
(2014)
77. M. Heyden, J. Sun, S. Funkner, G. Mathias, H. Forbert, M. Havenith, D. Marx, Dissecting the
THz spectrum of liquid water from first principles via correlations in time and space. Proc.
Natl. Acad. Sci. USA 107, 12068–12073 (2010)
78. S. Carlson, F.N. Brünig, P. Loche, D.J. Bonthuis, R.R. Netz, Exploring the absorption spectrum
of simulated water from MHz to infrared. J. Phys. Chem. A. 124, 5599–5605 (2020)
79. H. Torii, Intermolecular electron density modulations in water and their effects on the farinfrared spectral profiles at 6 THz. J. Phys. Chem. B. 115, 6636–6643 (2011)
80. G.E. Walrafen, Y.C. Chu, G.J. Piermarini, Low-frequency Raman scattering from water at
high pressures and high temperatures. J. Phys. Chem. 100, 10363–10372 (1996)
81. D. Decka, G. Schwaab, M. Havenith, THz/FTIR fingerprint of the solvated proton: evidence
for Eigen structure and Zundel dynamics. Phys. Chem. Chem. Phys. 17, 11898–11907 (2015)
82. D.F. Coker, R.O. Watts, Structure and vibrational spectroscopy of the water dimer using
quantum simulation. J. Phys. Chem. 91, 2513–2518 (1987)
83. G.E. Walrafen, Raman spectrum of water: transverse and longitudinal acoustic modes below
≈ 300 cm −1 and optic modes above ≈ 300 cm −1 . J. Phys. Chem. 94, 2237 (1990)
84. D.M. Carey, G.M. Korenowski, Measurement of the Raman spectrum of liquid water. J. Chem.
Phys. 108, 2669–2675 (1998)
85. G.E. Walrafen, Raman spectral studies of the effects of temperature on water and electrolyte
solutions. J. Chem. Phys. 44, 1546–1558 (1966)
86. P. Brüesch, L. Pietronero, S. Strässler, H.R. Zeller, Brownian motion in a polarizable lattice:
application to superionic conductors. Phys. Rev. B 15, 4631–4637 (1977)
87. M.B. Salamon (ed.), Physics of Superionic Conductors (Springer, Berlin, 1979)
88. H. Lapid, N. Agmon, M.K. Petersen, G.A. Voth, A bond-order analysis of the mechanism for
hydrated proton mobility in liquid water. J. Chem. Phys. 122, 14506–11 (2005)
89. J. Kim, U.W. Schmitt, J.A. Gruetzmacher, G.A. Voth, N.E. Scherer, The vibrational spectrum
of the hydrated proton: comparison of experiment, simulation, and normal mode analysis. J.
Chem. Phys. 116, 737–746 (2002)
90. M. Eigen, Proton transfer, acid-base catalysis, and enzymatic hydrolysis. Part I: elementary
processes. Angew. Chem. Int. Ed. Engl. 3, 1–19 (1964)
91. C. Rønne, P.O. Åstrand, S.R. Keiding, THz spectroscopy of liquid H 2 O and D 2 O. Phys. Rev.
Lett. 82, 2888–2891 (1999)
92. I. Ohmine, Liquid water dynamics: collective motions, fluctuation, and relaxation. J. Phys.
Chem. 99, 6767 (1995)