Quantum Consistent force field method

The various types of successful approaches can be classified into two groups empirical model calculations based on molecular force fields and quantum mechanical approximations. In the first class of methods experimental data are used to evaluate the parameters which appear in the model. The shape of the potential surfaces in turn is described by expressions which were found to be appropriate by semiclassicala> or quantum mechanical methods. Most calculations of this type are based upon the electrostatic model. Another more general approach, the "consistent force field method, was recently applied to the forces in hydrogen-bonded crystals 48> 49>. 

Warshell A. (1977). The self-consistent force field method and quantum chemical generalization. In Semiempirical methods of electronic structure calculation. Segal. G. A. (ed.). Plenum press. New York and London... 

An early description of the representation of a covalent bond connecting QM and MM atoms was given by Warshel and Levitt, who used a single hybrid orbital on the MM atom in the QM/MM joint region.32 In that study, the semiempirical QCFF/ALL method (quantum consistent force field) was em-... 

It should be clear that force field methods are models of the real quantum mechanical systems. The total neglect of electrons as individual particles forces the user to define explicitly the bonding present in the molecule prior to any calculations. The user must decide how to describe a given molecule in terms of the selected force field. The input to a calculation consists of three sets of information. 

One modern theoretical approach consists in using the quantum-mechanical force-constants as atrial force field in the regularization functional (5), instead of empirical force-constants [2,10]. It is obvious that the reliability of this method depends crucially on the choice of a realistic quantum-mechanical force field. Unfortunately even the advanced quantum-chemical methods often fail to reproduce the molecular frequencies with sufficient accuracy to assign the experimental spectroscopic features to the corresponding normal vibrations. 

A. Warshel, in Sentiempirical Methods of Electronic Structure Calculation. G. A. Segal, Ed., Modern Theoretical Chemistry, Vol. 7, Plenum, New York, 1977, p. 133. The Consistent Force Field and Its Quantum Mechanical Extension. 

In 2001, van Duin (Van Duin et al, 2001) proposed a technique of reaction force field, this method was applied to carbohydrates, the geometry data of compounds from simulation are consistent with the literature well, and the bond parameters agree to the results of quantum chemistry, but the calculation time is much less than the time required for quantum chemical calculations. Subsequently, researchers come to realize the advantages of the reaction force field method compared with quantum chemistry and electrostatic force field methods. Reaction force field parameters that are suitable for other materials have gradually been developed, such as silicon oxide, platinum, and titanium. The reaction force field parameters are theoretically universal and general. When Kim et al (2013) studied the interaction between the titanium oxide and water, sodium ions, chloride ions, methanol, and formic acid and other substances, the interaction parameter of Cl/O/H and Na/O/H is from the hteratures of different systems. 

In combined QM/MM potentials, the system is divided into a QM region and an MM region. The QM region typically includes atoms that are directly involved in the chemical step and they are treated explicitly by a quantum mechanical electronic structure method. The MM region consists of the rest of the system and is approximated by an MM force field. The QM/MM potential is given by ... 

The classical-path approximation introduced above is common to most MQC formulations and describes the reaction of the quantum DoF to the dynamics of the classical DoF. The back-reaction of the quantum DoF onto the dynamics of the classical DoF, on the other hand, may be described in different ways. In the mean-field trajectory (MFT) method (which is sometimes also called Ehrenfest model, self-consistent classical-path method, or semiclassical time-dependent self-consistent-field method) considered in this section, the classical force F = pj acting on the nuclear DoF xj is given as an average over the quantum DoF... 

Continued Quantum and Molecular Mechanical Simulations, In this technique, a molecular dynamics simulation includes the treatment of some part of the system wilh a quantum mechanical technique. This approach. yMf.MM. is similar to programs that Use quantum mechanical methods to treat the n-systems of the structures in question separately from the sigma framework. The results are combined ai ihe end to render a slructure which is optimized and energy-refined in satisfy both self-consistent field (SCF) and force field energy convergence. 

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