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Journal ArticleDOI

Molecular Dynamics Study of Liquid Water

Aneesur Rahman, +1 more
- 01 Oct 1971 - 
- Vol. 55, Iss: 7, pp 3336-3359
TLDR
In this paper, a sample of water, consisting of 216 rigid molecules at mass density 1 gm/cm3, has been simulated by computer using the molecular dynamics technique, subject to an effective pair potential that incorporates the principal structural effects of manybody interactions in real water.
Abstract
A sample of water, consisting of 216 rigid molecules at mass density 1 gm/cm3, has been simulated by computer using the molecular dynamics technique. The system evolves in time by the laws of classical dynamics, subject to an effective pair potential that incorporates the principal structural effects of many‐body interactions in real water. Both static structural properties and the kinetic behavior have been examined in considerable detail for a dynamics ``run'' at nominal temperature 34.3°C. In those few cases where direct comparisons with experiment can be made, agreement is moderately good; a simple energy rescaling of the potential (using the factor 1.06) however improves the closeness of agreement considerably. A sequence of stereoscopic pictures of the system's intermediate configurations reinforces conclusions inferred from the various ``run'' averages: (a) The liquid structure consists of a highly strained random hydrogen‐bond network which bears little structural resemblance to known aqueous crys...

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Citations
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Journal ArticleDOI

Numerical Integration of the Cartesian Equations of Motion of a System with Constraints: Molecular Dynamics of n-Alkanes

TL;DR: In this paper, a numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated, and the relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration.
Journal ArticleDOI

SETTLE: an analytical version of the SHAKE and RATTLE algorithm for rigid water models

TL;DR: In this article, an analytical algorithm called SETTLE for resetting the positions and velocities to satisfy the holonomic constraints on the rigid water model is presented, which is based on the Cartesian coordinate system and can be used in place of SHAKE and RATTLE.
Book ChapterDOI

Interaction Models for Water in Relation to Protein Hydration

TL;DR: In this article, a three-point charge model (on hydrogen and oxygen positions) with a Lennard-Jones 6-12 potential on the oxygen positions only was developed, and parameters for the model were determined from 12 molecular dynamics runs covering the two-dimensional parameter space of charge and oxygen repulsion.
Journal ArticleDOI

Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations

TL;DR: In this paper, an algorithm, called RATTLE, for integrating the equations of motion in molecular dynamics calculations for molecular models with internal constraints is presented. But it is based on the Verlet algorithm and retains the simplicity of using Cartesian coordinates for each of the atoms to describe the configuration of a molecule with internal constraint.
References
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Journal ArticleDOI

Equation of state calculations by fast computing machines

TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Book

Classical Mechanics

Journal ArticleDOI

Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics

TL;DR: In this paper, the locus of the dielectric constant in the complex plane was defined to be a circular arc with end points on the axis of reals and center below this axis.
Journal ArticleDOI

Relaxation Effects in Nuclear Magnetic Resonance Absorption

TL;DR: In this article, the authors studied the effect of the thermal motion of the magnetic nuclei upon the spin-spin interaction in a rigid lattice and the line width of the absorption line.
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