Abstract
The density and phonon-stiffness of water ice oscillates over the full temperature range, transiting at 277, 258, and 80 K. The segment of relatively lower specific heat contracts at cooling, which forces the other of the H-bond to elongate via Coulomb repulsion. In the liquid and solid phases, O:H bond contracts more than the H–O elongates; hence, an O:H–O cooling contraction and the seemingly ‘regular’ process of cooling densification take place. During freezing, the H–O contracts less than the O:H elongates, leading to an O:H–O elongation and volume expansion. At T < 80 K, the length and energy of both segments conserve but the O:H–O angle stretches, resulting in slight volume expansion. In ice, the O–O distance is longer than it is in water, resulting in a lower density, so that ice floats. Length contraction/elongation of the specific segment is associated with phonon-stiffening/softening.
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References
A.K. Soper, J. Teixeira, T. Head-Gordon, Is ambient water inhomogeneous on the nanometer-length scale? Proc. Natl. Acad. Sci. USA 107(12), E44–E44 (2010)
G.N.I. Clark, C.D. Cappa, J.D. Smith, R.J. Saykally, T. Head-Gordon, The structure of ambient water. Mol. Phys. 108(11), 1415–1433 (2010)
V. Molinero, E.B. Moore, Water modeled as an intermediate element between Carbon and Silicon. J. Phys. Chem. B 113(13), 4008–4016 (2009)
V. Petkov, Y. Ren, M. Suchomel, Molecular arrangement in water: Random but not quite. J. Phys.: Condens. Matter 24(15), 155102 (2012)
C. Huang, K.T. Wikfeldt, T. Tokushima, D. Nordlund, Y. Harada, U. Bergmann, M. Niebuhr, T.M. Weiss, Y. Horikawa, M. Leetmaa, M.P. Ljungberg, O. Takahashi, A. Lenz, L. Ojamäe, A.P. Lyubartsev, S. Shin, L.G.M. Pettersson, A. Nilsson, The inhomogeneous structure of water at ambient conditions. Proc. Natl. Acad. Sci. USA 106(36), 15214–15218 (2009)
F. Mallamace, C. Branca, M. Broccio, C. Corsaro, C.Y. Mou, S.H. Chen, The anomalous behavior of the density of water in the range 30 K < T < 373 K. Proc. Natl. Acad. Sci. USA 104(47), 18387–18391 (2007)
F. Mallamace, M. Broccio, C. Corsaro, A. Faraone, D. Majolino, V. Venuti, L. Liu, C.Y. Mou, S.H. Chen, Evidence of the existence of the low-density liquid phase in supercooled, confined water. Proc. Natl. Acad. Sci. USA 104(2), 424–428 (2007)
O. Mishima, H.E. Stanley, The relationship between liquid, supercooled and glassy water. Nature 396(6709), 329–335 (1998)
N.J. English, J.S. Tse, Density fluctuations in liquid water. Phys. Rev. Lett. 106(3), 037801 (2011)
T. Head-Gordon, M.E. Johnson, Tetrahedral structure or chains for liquid water. Proc. Natl. Acad. Sci. USA 103(21), 7973–7977 (2006)
E.B. Moore, V. Molinero, Structural transformation in supercooled water controls the crystallization rate of ice. Nature 479(7374), 506–508 (2011)
C. Wang, H. Lu, Z. Wang, P. Xiu, B. Zhou, G. Zuo, R. Wan, J. Hu, H. Fang, Stable liquid water droplet on a water monolayer formed at room temperature on ionic model substrates. Phys. Rev. Lett. 103(13), 137801–137804 (2009)
G.N. Clark, G.L. Hura, J. Teixeira, A.K. Soper, T. Head-Gordon, Small-angle scattering and the structure of ambient liquid water. Proc. Natl. Acad. Sci. USA 107(32), 14003–14007 (2010)
A.J. Stone, Water from first principles. Science 315(5816), 1228–1229 (2007)
K. Stokely, M.G. Mazza, H.E. Stanley, G. Franzese, Effect of hydrogen bond cooperativity on the behavior of water. Proc. Natl. Acad. Sci. USA 107(4), 1301–1306 (2010)
G.M. Marion, S.D. Jakubowski, The compressibility of ice to 2.0 kbar. Cold Reg. Sci. Technol. 38(2–3), 211–218 (2004)
M. Erko, D. Wallacher, A. Hoell, T. Hauss, I. Zizak, O. Paris, Density minimum of confined water at low temperatures: a combined study by small-angle scattering of X-rays and neutrons. Phys. Chem. Chem. Phys. 14(11), 3852–3858 (2012)
K. Rottger, A. Endriss, J. Ihringer, S. Doyle, W.F. Kuhs, Lattice-constants and thermal-expansion of H2O and D2O Ice ih between 10 and 265 K. Acta Crystallographica B 50, 644–648 (1994)
P.T. Kiss, A. Baranyai, Density maximum and polarizable models of water. J. Chem. Phys. 137(8), 084506–084508 (2012)
M.X. Gu, Y.C. Zhou, L.K. Pan, Z. Sun, S.Z. Wang, C.Q. Sun, Temperature dependence of the elastic and vibronic behavior of Si, Ge, and diamond crystals. J. Appl. Phys. 102(8), 083524 (2007)
M.X. Gu, L.K. Pan, T.C.A. Yeung, B.K. Tay, C.Q. Sun, Atomistic origin of the thermally driven softening of Raman optical phonons in group III nitrides. J. Chem. Phys. C 111(36), 13606–13610 (2007)
I. Calizo, A.A. Balandin, W. Bao, F. Miao, C.N. Lau, Temperature dependence of the Raman spectra of Graphene and Graphene multilayers. Nano Lett. 7(9), 2645–2649 (2007)
X.X. Yang, J.W. Li, Z.F. Zhou, Y. Wang, L.W. Yang, W.T. Zheng, C.Q. Sun, Raman spectroscopic determination of the length, strength, compressibility, Debye temperature, elasticity, and force constant of the C–C bond in graphene. Nanoscale 4(2), 502–510 (2012)
H.Q. Zhou, C.Y. Qiu, H.C. Yang, F. Yu, M.J. Chen, L.J. Hu, Y.J. Guo, L.F. Sun, Raman spectra and temperature-dependent Raman scattering of carbon nanoscrolls. Chem. Phys. Lett. 501(4–6), 475–479 (2011)
X.X. Yang, J.W. Li, Z.F. Zhou, Y. Wang, W.T. Zheng, C.Q. Sun, Frequency response of Graphene phonons to heating and compression. Appl. Phys. Lett. 99(13), 133108 (2011)
J.W. Li, L.W. Yang, Z.F. Zhou, X.J. Liu, G.F. Xie, Y. Pan, C.Q. Sun, Mechanically stiffened and thermally softened Raman modes of ZnO crystal. J. Phys. Chem. B 114(4), 1648–1651 (2010)
M.X. Gu, L.K. Pan, B.K. Tay, C.Q. Sun, Atomistic origin and temperature dependence of Raman optical redshift in nanostructures: A broken bond rule. J. Raman Spec. 38(6), 780–788 (2007)
P.C. Cross, J. Burnham, P.A. Leighton, The Raman spectrum and the structure of water. J. Am. Chem. Soc. 59, 1134–1147 (1937)
Y. Yoshimura, S.T. Stewart, M. Somayazulu, H.K. Mao, R.J. Hemley, Convergent Raman features in high density amorphous ice, Ice VII, and Ice VIII under pressure. J. Phys. Chem. B 115(14), 3756–3760 (2011)
Y. Yoshimura, S.T. Stewart, H.K. Mao, R.J. Hemley, In situ Raman spectroscopy of low-temperature/high-pressure transformations of H2O. J. Chem. Phys. 126(17), 174505 (2007)
I. Durickovic, R. Claverie, P. Bourson, M. Marchetti, J.M. Chassot, M.D. Fontana, Water-ice phase transition probed by Raman spectroscopy. J. Raman Spec. 42(6), 1408–1412 (2011)
M. Paolantoni, N.F. Lago, M. Albertí, A. Laganà, Tetrahedral Ordering in water: Raman profiles and their temperature dependence†. J. Phys. Chem. A 113(52), 15100–15105 (2009)
M. Smyth, J. Kohanoff, Excess electron localization in solvated DNA bases. Phys. Rev. Lett. 106(23), 238108 (2011)
J.D. Smith, C.D. Cappa, K.R. Wilson, R.C. Cohen, P.L. Geissler, R.J. Saykally, Unified description of temperature-dependent hydrogen-bond rearrangements in liquid water. Proc. Natl. Acad. Sci. USA 102(40), 14171–14174 (2005)
F. Paesani, Temperature-dependent infrared spectroscopy of water from a first-principles approach. J. Phys. Chem. A 115(25), 6861–6871 (2011)
Y. Marechal, Infrared-spectra of water. 1. Effect of temperature ans of H/D isotopic dilusion. J. Chem. Phys. 95(8), 5565–5573 (1991)
G.E. Walrafen, Raman spectral studies of the effects of temperature on water structure. J. Chem. Phys. 47(1), 114–126 (1967)
H. Suzuki, Y. Matsuzaki, A. Muraoka, M. Tachikawa, Raman spectroscopy of optically levitated supercooled water droplet. J. Chem. Phys. 136(23), 234508 (2012)
K. Furic, V. Volovsek, Water ice at low temperatures and pressures: New Raman results. J. Mol. Struct. 976(1–3), 174–180 (2010)
J.J. Shephard, J.S.O. Evans, C.G. Salzmann, structural relaxation of low-density amorphous ice upon thermal annealing. J. Phys. Chem. Lett. 3672–3676 (2013)
Y. Marechal, The molecular structure of liquid water delivered by absorption spectroscopy in the whole IR region completed with thermodynamics data. J. Mol. Struct. 1004(1–3), 146–155 (2011)
X. Xue, Z.-Z. He, J. Liu, Detection of water-ice phase transition based on Raman spectrum. J. Raman Spec. 44(7), 1045–1048 (2013)
C. Medcraft, D. McNaughton, C.D. Thompson, D.R.T. Appadoo, S. Bauerecker, E.G. Robertson, Water ice nanoparticles: size and temperature effects on the mid-infrared spectrum. Phys. Chem. Chem. Phys. 15(10), 3630–3639 (2013)
C. Medcraft, D. McNaughton, C.D. Thompson, D. Appadoo, S. Bauerecker, E.G. Robertson, Size and temperature dependence in the Far-IR spectra of water ice particles. Astrophys. J. 758(1), 17 (2012)
C.Q. Sun, X. Zhang, X. Fu, W. Zheng, J.-L. Kuo, Y. Zhou, Z. Shen, J. Zhou, Density and phonon-stiffness anomalies of water and ice in the full temperature range. J. Phys. Chem. Lett. 4, 3238–3244 (2013)
G.P. Johari, H.A.M. Chew, T.C. Sivakumar, Effect of temperature and pressure on translational lattice vibrations and permittivity of ice. J. Chem. Phys. 80(10), 5163 (1984)
C.Q. Sun, X. Zhang, W.T. Zheng, Hidden force opposing ice compression. Chem. Sci. 3, 1455–1460 (2012)
E. Gilberg, M.J. Hanus, B. Foltz, Investigation of the electronic-structure of ice by high-resolution x-ray spectroscopy. J. Chem. Phys. 76(10), 5093–5097 (1982)
T. Tokushima, Y. Harada, O. Takahashi, Y. Senba, H. Ohashi, L.G.M. Pettersson, A. Nilsson, S. Shin, High resolution X-ray emission spectroscopy of liquid water: The observation of two structural motifs. Chem. Phys. Lett. 460(4–6), 387–400 (2008)
J.H. Guo, Y. Luo, A. Augustsson, J.E. Rubensson, C. Såthe, H. Ågren, H. Siegbahn, J. Nordgren, X-Ray emission spectroscopy of hydrogen bonding and electronic structure of liquid water. Phys. Rev. Lett. 89(13), 137402 (2002)
A. Nilsson, L.G.M. Pettersson, Perspective on the structure of liquid water. Chem. Phys. 389(1–3), 1–34 (2011)
P. Wernet, D. Nordlund, U. Bergmann, M. Cavalleri, M. Odelius, H. Ogasawara, L.A. Naslund, T.K. Hirsch, L. Ojamae, P. Glatzel, L.G.M. Pettersson, A. Nilsson, The structure of the first coordination shell in liquid water. Science 304(5673), 995–999 (2004)
Y. Yoshimura, S.T. Stewart, M. Somayazulu, H. Mao, R.J. Hemley, High-pressure x-ray diffraction and Raman spectroscopy of ice VIII. J. Chem. Phys. 124(2), 024502 (2006)
M. Song, H. Yamawaki, H. Fujihisa, M. Sakashita, K. Aoki, Infrared investigation on ice VIII and the phase diagram of dense ices. Phys. Rev. B 68(1), 014106 (2003)
A. Nilsson, C. Huang, L.G.M. Pettersson, Fluctuations in ambient water. J. Mol. Liq. 176, 2–16 (2012)
C. Huang, K.T. Wikfeldt, D. Nordlund, U. Bergmann, T. McQueen, J. Sellberg, L.G.M. Pettersson, A. Nilsson, Wide-angle X-ray diffraction and molecular dynamics study of medium-range order in ambient and hot water. Phys. Chem. Chem. Phys. 13(44), 19997–20007 (2011)
M. Matsumoto, Why does water expand when it cools? Phys. Rev. Lett. 103(1), 017801 (2009)
J.C. Li, A.I. Kolesnikov, Neutron spectroscopic investigation of dynamics of water ice. J. Mol. Liq. 100(1), 1–39 (2002)
Y.S. Tu, H.P. Fang, Anomalies of liquid water at low temperature due to two types of hydrogen bonds. Phys. Rev. E 79(1), 016707 (2009)
J.L. Kulp, D.L. Pompliano, F. Guarnieri, Diverse fragment clustering and water exclusion identify protein hot spots. J. Am. Chem. Soc. 133(28), 10740–10743 (2011)
C.Q. Sun, Thermo-mechanical behavior of low-dimensional systems: The local bond average approach. Prog. Mater. Sci. 54(2), 179–307 (2009)
L. Pauling, Atomic radii and interatomic distances in metals. J. Am. Chem. Soc. 69(3), 542–553 (1947)
V.M. Goldschmidt, Crystal structure and chemical correlation. Ber. Deut. Chem. Ges. 60, 1263–1296 (1927)
C.Q. Sun, Size dependence of nanostructures: Impact of bond order deficiency. Prog. Solid State Chem. 35(1), 1–159 (2007)
M.X. Gu, Y.C. Zhou, C.Q. Sun, Local bond average for the thermally induced lattice expansion. J. Phys. Chem. B 112(27), 7992–7995 (2008)
T.D. Kuhne, R.Z. Khaliullin, Electronic signature of the instantaneous asymmetry in the first coordination shell of liquid water. Nat. Commun. 4, 1450 (2013)
J.D. Smith, C.D. Cappa, B.M. Messer, W.S. Drisdell, R.C. Cohen, R.J. Saykally, Probing the local structure of liquid water by x-ray absorption spectroscopy. J. Phys. Chem. B 110(40), 20038–20045 (2006)
A. Hermann, W.G. Schmidt, P. Schwerdtfeger, Resolving the optical spectrum of water: Coordination and electrostatic effects. Phys. Rev. Lett. 100(20), 207403 (2008)
C.Q. Sun, Y. Nie, J. Pan, X. Zhang, S.Z. Ma, Y. Wang, W. Zheng, Zone-selective photoelectronic measurements of the local bonding and electronic dynamics associated with the monolayer skin and point defects of graphite. RSC Adv. 2(6), 2377–2383 (2012)
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Sun, C.Q. (2014). Thermally Driven Density and Phonon-Stiffness Oscillation. In: Relaxation of the Chemical Bond. Springer Series in Chemical Physics, vol 108. Springer, Singapore. https://doi.org/10.1007/978-981-4585-21-7_36
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