2017
DOI: 10.1007/s11467-017-0724-4
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Hydrogen mean force and anharmonicity in polycrystalline and amorphous ice

Abstract: Abstract. The hydrogen mean force from experimental neutron Compton profiles is derived using deep inelastic neutron scattering on amorphous and polycrystalline ice. The formalism of mean force is extended to probe its sensitivity to anharmonicity in the hydrogen-nucleus effective potential. The shape of the mean force for amorphous and polycrystalline ice is primarily determined by the anisotropy of the underlying quasi-harmonic effective potential. The data from amorphous ice show an additional curvature ref… Show more

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Cited by 10 publications
(11 citation statements)
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“…, one can relate M 2 s to the force-constant of a 'nano-spring' representing the binding force of the confining potential of the recoiling nucleus of mass M. It is important to note that the concept of the NMD width allows us here to effectively replace the whole set of QHOs constituting a pVDoS for a given atomic species of mass M with a single QHO having an effective frequency ω M that is centred at the centre-of-gravity of Boltzmann population-weighted pVDoS. In this mean-field picture, the value of the average force constant, k, can be obtained from the value of an NMD width by employing the theory of the mean force function (MF) [29].…”
Section: Recalling Thatmentioning
confidence: 99%
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“…, one can relate M 2 s to the force-constant of a 'nano-spring' representing the binding force of the confining potential of the recoiling nucleus of mass M. It is important to note that the concept of the NMD width allows us here to effectively replace the whole set of QHOs constituting a pVDoS for a given atomic species of mass M with a single QHO having an effective frequency ω M that is centred at the centre-of-gravity of Boltzmann population-weighted pVDoS. In this mean-field picture, the value of the average force constant, k, can be obtained from the value of an NMD width by employing the theory of the mean force function (MF) [29].…”
Section: Recalling Thatmentioning
confidence: 99%
“…In the case of an isotropic harmonic potential, the MF is linear with atomic displacement, with force constant magnitude k for a nucleus of mass M at temperature T given by [29]:…”
Section: Recalling Thatmentioning
confidence: 99%
“…The values of the average force constants k a were obtained from the NMD widths s a employing the theory of the mean force function (MF) [53]. In the case of an isotropic harmonic potential, the MF is linear with atomic displacement, with the force constant magnitude k a for a nucleus of mass m a at temperature T given by [53]:…”
Section: Modellingmentioning
confidence: 99%
“…The standard deviations (widths) of NMDs are proportional to the Boltzmann population-weighted first moments of the atom-projected vibrational densities of states (apVDOSs), and the variances of NMDs can be used to obtain the values of vibrational zero-point energies (ZPEs) [49][50][51][52]. Moreover, as recently shown [53], the NMD widths can be related to effective interatomic force constants, and thus DINS can be employed to study force constant disorder [54,55].…”
Section: Introductionmentioning
confidence: 99%
“…In this context, the description of the T -dependent structure of water in terms of the HB properties (life-time, strength, length and angular distri- This paper presents a combined NCS and NMR study of the local order in water in a broad temperature interval from the critical region to the deep supercooled phase. New NCS measurements have been performed in a T range around T * ≃ 315 K. NCS, also known as deep inelastic neutron scattering (DINS), is a unique technique to measure the ground-state dynamics of atomic nuclei [39], routinely used to derive the hydrogen momentum distribution, n(p), and hydrogen mean kinetic energy, ⟨E K ⟩ in liquid water [40] and ice [41,42], heavy water [43], and water confined in porous materials [44,45]. These physical quantities provide information on the local environment of the H nucleus in the HB network [46].…”
Section: Introductionmentioning
confidence: 99%