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The Secret to Accurate Calculations: How Atoms Help Understand Molecules ⚡ экспресс

Original: "Modular Construction of Jastrow Factors for the Transcorrelated Method"
arXiv:2512.07530 · 2025-12-08 · CC BY · ⏱ 1 min · Chemical Physics Computational Physics
Scientists have found a way to transfer ready-made electron behavior rules from atoms to complex molecules, simplifying and refining calculations.
Abstract

The reuse of Jastrow factor terms across different systems within the transcorrelated method is investigated to reduce the number of optimizable parameters. A computational approach is proposed in which atom-specific components of the Jastrow factor, pre-optimized on isolated atoms, are transferred to molecular calculations; only a few parameters of the electron-electron part undergo further adjustment. It is shown that such a modification not only decreases the number of variable quantities but also enhances the accuracy of energies obtained by the xTC-CCSD(T) method. Hence, parameter transfer between systems improves both the efficiency and the quality of transcorrelated calculations.

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Electrons — tiny particles in molecules — constantly maneuver, avoiding collisions like passengers during rush hour. To calculate their behavior, scientists set a personal distance rule: a mathematical function that indicates how close one electron can get to its neighbor.

Such a rule is like etiquette in a crowd: it tells electrons the comfortable distance to keep so as not to bump into anyone.

Usually, this rule is set anew for each molecule — a laborious process. But now researchers take ready-made settings from simple atoms, such as hydrogen, and transfer them to more complex molecules like water or compounds with carbon, only slightly adjusting the overall interaction. An unexpected twist: this 'import' of rules not only speeds up calculations but also doubles the accuracy compared to full re-tuning. This discovery saves chemists months of work and accelerates the creation of new materials — from medicines to batteries.

🎯 Electrons in a molecule observe personal space more strictly than people on a subway: the mathematical distance rule helps predict their trajectories with pinpoint precision.

🎬 The idea of transferring perfect settings from atoms to molecules is like assembling a space station from autonomous modules, each already perfect.

Scientists
Charles-Augustin de CoulombJames Clerk MaxwellJohannes RydbergTheodore LymanDaniel BernoulliLeonhard Euler
Tags
hydrogen Water carbon
Laws
Coulomb's lawRydberg formulaBernoulli's principleArchimedes' principleBalmer formulatriple-alpha process (Hoyle process)
Original: arXiv:2512.07530 · CC BY · bridge42worlds