A method is presented to evaluate a molecule's entropy from the atomic forces calculated in a molecular dynamics simulation. Specifically, diagonalization of the mass-weighted force covariance matrix produces eigenvalues which in the harmonic approximation can be related to vibrational frequencies. The harmonic oscillator entropies of each vibrational mode may be summed to give the total entropy. The results for a series of hydrocarbons, dialanine and a β hairpin are found to agree much better with values derived from thermodynamic integration than results calculated using quasiharmonic analysis. Forces are found to follow a harmonic distribution more closely than coordinate displacements and better capture the underlying potential energy surface. The method's accuracy, simplicity, and computational similarity to quasiharmonic analysis, requiring as input force trajectories instead of coordinate trajectories, makes it readily applicable to a wide range of problems.
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http://dx.doi.org/10.1021/ct500684w | DOI Listing |
Sci Rep
November 2024
Condensed Matter Theory Group, School of Studies in Physics, Jiwaji University, Gwalior, India.
RSC Adv
October 2024
Department of Chemistry, Government College University Faisalabad Pakistan
First-principles density functional investigations of the structural, electronic, optical and thermodynamic properties of KVO, NaVO and ZnVO were performed using generalized gradient approximation (GGA) ultrasoft pseudopotential and density functional theory (DFT). Their electronic structure was analyzed with a focus on the nature of electronic states near band edges. The electronic band structure revealed that between 6% Fe and 6% Co, 6% Co significantly tuned the band gap with the emergence of new states at the gamma point.
View Article and Find Full Text PDFHeliyon
July 2024
Department of Physics, University of Rajshahi, Rajshahi, 6205, Bangladesh.
We thoroughly investigated the structural, mechanical, electronic, vibrational, optical, thermodynamic, and a number of thermophysical properties of WN compound through first-principles calculations using the DFT based formalism The calculated structural parameters show very good agreement with the available theoretical and experimental results. The mechanical and dynamical stabilities of this compound have been investigated theoretically from the elastic constants and phonon dispersion curves. The Pugh's and Poisson's ratios of WN are located quite close to the brittle/ductile borderline.
View Article and Find Full Text PDFEnviron Sci Pollut Res Int
May 2024
Department of Applied Mechanics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, People's Republic of China.
Mater Horiz
June 2024
Key Laboratory for Special Functional Materials of Ministry of Education, and School of Materials and Engineering, Henan University, Kaifeng 475001, China.
Discovering new negative thermal expansion (NTE) materials is a great challenge in experiment. Meanwhile, the machine learning (ML) method can be another approach to explore NTE materials using the existing material databases. Herein, we adopt the multi-step ML method with efficient data augmentation and cross-validation to identify around 1000 materials, including oxides, fluorides, and cyanides, with bulk framework structures as new potential NTE candidate materials from ICSD and other databases.
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