1998
DOI: 10.1088/0953-8984/10/10/008
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Vibrational states and optical transitions in hydrogen bonds

Abstract: Proton energies in hydrogen bonds are mostly calculated using a double Morse potential (the DMP model). This form, however, does not reproduce the experimentally observed correlation between the proton stretching frequency and the bond length in an extended bond-length region sufficiently well. An alternative potential is proposed in the present paper. The quantum states of this non-symmetric double-well potential are calculated numerically using the Numerov (Fox-Goodwin) algorithm. It is shown that the optica… Show more

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Cited by 21 publications
(27 citation statements)
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“…The vibrational state of proton in one-dimensional potential deforming from a double to a single minimum shape has numerically been calculated using a generalized double Morse potential. 23 The essential features of the calculated results are illustrated in Fig. 7.…”
Section: Discussionmentioning
confidence: 99%
“…The vibrational state of proton in one-dimensional potential deforming from a double to a single minimum shape has numerically been calculated using a generalized double Morse potential. 23 The essential features of the calculated results are illustrated in Fig. 7.…”
Section: Discussionmentioning
confidence: 99%
“…A general description encompassing the previous physical systems is given by a simple one-dimensional model [23][24][25]31] of a quantum particle in a double well in the presence of a homogeneous electric field E, and focuses on the effect of the asymmetry induced by E [32]. It reads where x is the particle position along the O-O direction, P the pressure, and a, b, P 0 , and V 0 are fitting parameters adjusted to the mean potential energy calculated in pure ice [4].…”
mentioning
confidence: 99%
“…The transfer frequently occurs along an existing hydrogen bond bridge of the form O-H Á Á Á O, where the proton (H) occupies a double-well potential surface between two oxygen ions (O) [3]. The strong dependence of the tunneling rate on distance, i.e., barrier width, creates two interesting scenarios.…”
mentioning
confidence: 99%