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We analyze deficiencies of commonly used Coulomb approximations in Generalized Born solvation energy calculation models and report a development of a new fast surface-based method (FSBE) for numerical calculations of the solvation energy of…

Quantitative Methods · Quantitative Biology 2009-10-14 P. O. Fedichev , G. N. Getmantsev , L. I. Menshikov

Solvation free energy is an important quantity in Computational Chemistry with a variety of applications, especially in drug discovery and design. The accurate prediction of solvation free energies of small molecules in water is still a…

Biological Physics · Physics 2007-05-23 A. Hildebrandt , O. Kohlbacher , R. Blossey , H. -P. Lenhof

Accurate calculations of solvation free energies remain a central challenge in molecular simulations, often requiring extensive sampling and numerous alchemical intermediates to ensure sufficient overlap between phase-space distributions of…

Statistical Mechanics · Physics 2026-04-02 Maximilian Schebek , Nikolas M. Froböse , Bettina G. Keller , Jutta Rogal

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

Chemical Physics · Physics 2013-10-16 Asaf Farhi

The evaluation of Coulomb forces is a difficult task. The summations that are involved converge only conditionally and care has to be taken in selecting the appropriate procedure to define the limits. The Ewald method is a standard method…

mtrl-th · Physics 2008-02-03 Michael J. Love , Henri J. F. Jansen

Determining the solvation free energies of single ions in water is one of the most fundamental problems in physical chemistry and yet many unresolved questions remain. In particular, the ability to decompose the solvation free energy into…

Chemical Physics · Physics 2017-11-21 Timothy T. Duignan , Marcel D. Baer , Gregory K. Schenter , Christopher J. Mundy

Despite the modern level of development of computational chemistry methods and techno-logical progress, fast and accurate determination of solvation free energy remains a huge problem for physical chemists. In this paper, we describe two…

Chemical Physics · Physics 2021-05-18 N. N. Kalikin , Y. A. Budkov , A. L. Kolesnikov , D. V. Ivlev , M. A. Krestyaninov , M. G. Kiselev

The effect of solvent on the free energy of reaction intermediates adsorbed on electrocatalyst surfaces can significantly change the thermochemical overpotential, but accurate calculations of this are challenging. Here, we present…

Chemical Physics · Physics 2023-03-06 Björn Kirchhoff , Elvar Örn Jónsson , Timo Jacob , Hannes Jónsson

Free energies of molecules can be calculated by quantum computations or by normal mode classical calculations. However, the first can be computationally impractical for large molecules and the second is based on the assumption of harmonic…

Chemical Physics · Physics 2016-03-23 Asaf Farhi

Free energies play a central role in characterising the behaviour of chemical systems and are among the most important quantities that can be calculated by molecular dynamics simulations. Solvation free energies in various organic solvents,…

Chemical Physics · Physics 2026-02-11 J. Harry Moore , Daniel J. Cole , Gabor Csanyi

This document attempts to clarify potential confusion regarding electrostatics calculations, specifically in the context of biomolecular structure and specifically as regards the units typically used to contour/visualize isopotential…

Biomolecules · Quantitative Biology 2016-06-14 Cameron Mura

In the molecular dynamics calculations for the free energy of ions and ionic molecules, we often encounter wet charged molecular systems where electrical neutrality condition is broken. This causes a problem in the evaluation of…

Biological Physics · Physics 2020-07-15 Ryo Urano , Wataru Shinoda , Noriyuki Yoshii , Susumu Okazaki

In this paper we have derived explicitly computable bounds on the error in energy norms for the fully nonlinear Poisson-Boltzmann equation. Together with the computable bounds, we have also obtained efficient error indicators which can…

Numerical Analysis · Mathematics 2018-05-30 Johannes Kraus , Svetoslav Nakov , Sergey Repin

We propose a new theoretical method for the calculation of the interaction energy between macromolecular systems at large distances. The method provides a linear scaling of the computing time with the system size and is considered as an…

Biological Physics · Physics 2009-11-13 Ilia A. Solov'yov , Alexander V. Yakubovich , Andrey V. Solov'yov , Walter Greiner

The calculation time for the energy of atoms and molecules scales exponentially with system size on a classical computer but polynomially using quantum algorithms. We demonstrate that such algorithms can be applied to problems of chemical…

Quantum Physics · Physics 2007-05-23 Alán Aspuru-Guzik , Anthony D. Dutoi , Peter J. Love , Martin Head-Gordon

We present a molecular dynamics simulation method for the computation of the solubility of organic crystals in solution. The solubility is calculated based on the equilibrium free energy difference between the solvated solute and its…

Statistical Mechanics · Physics 2021-04-23 Zoran Bjelobrk , Dan Mendels , Tarak Karmakar , Michele Parrinello , Marco Mazzotti

Linear scaling methods provide total energy, but no energy levels and canonical wavefuctions. From the density matrix computed through the density matrix purification methods, we propose an order-N (O(N)) method for calculating both the…

Materials Science · Physics 2007-06-27 H. J. Xiang , Jinlong Yang , J. G. Hou , Qingshi Zhu

An energy functional for orbital based $O(N)$ calculations is proposed, which depends on a number of non orthogonal, localized orbitals larger than the number of occupied states in the system, and on a parameter, the electronic chemical…

mtrl-th · Physics 2016-09-07 Jeongnim Kim , Francesco Mauri , Giulia Galli

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

Numerical Analysis · Mathematics 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan

Marcus theory is fundamental to describing electron transfer reactions and quantifying their rates, effectively representing the energy surface associated with an electron transfer from the reactant to the product ionic state via parabolas…

Chemical Physics · Physics 2025-10-28 Zhenyu Wang , Mira Todorova , Christoph Freysoldt , Jörg Neugebauer
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