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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

In quantum chemistry, calculating molecules requires fine-tuning many parameters. The authors propose taking parts of the Jastrow factor (a function describing electron correlation) already optimized for individual atoms and using them in molecules, leaving only a few parameters to adjust for pair interactions of electrons. It turned out that this strategy not only reduces the computational effort but also improves the accuracy of the xTC-CCSD(T) method—a hybrid approach combining the transcorrelated method and a high-precision quantum chemistry scheme. It's like assembling furniture from ready-made parts instead of machining each piece from scratch—faster and more reliable.

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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