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题目:Density and Phonon-frequency Relaxation Dynamics of Water and Ice at Cool
http://arxiv.org/abs/1210.1634
Coulomb repulsion between the bonding electron pair in the H-O covalent bond (denoted by``-'') and the nonbonding electron pair of O (``:") and the specific-heat disparity between the O:H and the H-O segments of the entire hydrogen bond (O:H-O) are shown to determine the O:H-O bond angle-length-stiffness relaxation dynamics and the density anomalies of water and ice. The bonding part with relatively lower specific-heat is more easily activated by cooling, which serves as the ``master" and contracts,
while forcing the ``slave" with higher specific-heat to elongate (via Coulomb repulsion) by different amounts.
In the liquid and solid phases, the O:H van der Waals bond serves as the master and becomes significantly shorter and stiffer while the H-O bond becomes slightly longer and softer (phonon frequency is a
measure of bond stiffness), resulting in an O:H-O cooling contraction and the seemingly ``regular''
process of cooling densification. In the water-ice transition phase, the master and the slave swap roles,
thus resulting in an O:H-O elongation and volume expansion during freezing.
In ice, the O--O distance is longer than it is in water,
resulting in a lower density, so that ice floats.
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