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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
Conservation of Angular Momentum01:09

Conservation of Angular Momentum

A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce internal...

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Related Experiment Video

Updated: Jun 10, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Scalable and Physics-Informed Multireference Implementation with Spin-Orbit Couplings via Modern HPC Clusters.

Runfeng Jin1,2, Chen Li1,2, Xinyu Sun3

  • 1Computer Network Information Center, Chinese Academy of Sciences, Beijing 100190, China.

The Journal of Physical Chemistry Letters
|June 9, 2026
PubMed
Summary
This summary is machine-generated.

This study presents a scalable, physics-informed computational method for multireference (MR) calculations. It significantly accelerates computations using graphics processing units (GPUs) and improves parallel scalability for complex quantum chemistry problems.

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Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
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Last Updated: Jun 10, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
08:03

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization

Published on: November 12, 2014

Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • High-Performance Computing

Background:

  • Multireference (MR) calculations are crucial for accurately describing systems with strong electron correlation.
  • Existing computational methods face challenges in scalability and efficiency for large, complex molecular systems.
  • Physics-informed (PI) approaches offer potential for optimizing computational chemistry algorithms.

Purpose of the Study:

  • To develop a scalable and efficient physics-informed computational implementation for determinant-based MR calculations.
  • To enhance the performance and parallel scalability of MR calculations on modern hardware architectures.
  • To incorporate relativistic effects, including spin-orbit coupling (SOC), into the MR framework.

Main Methods:

  • A physics-informed (PI) philosophy is integrated into both the methodology and its computational implementation.
  • Orbital entanglement guides the reconstruction of selected configuration interaction (CI) wave functions.
  • PI kernel optimization (PIKO) and PI parallel optimization (PIPO) strategies are employed for efficient computation and hardware acceleration.
  • An entropy-based performance model and hierarchical load balancing are used for optimizing the MR module on HPC clusters.

Main Results:

  • Single-GPU accelerations achieve approximately 460 times the performance of full CPU cores.
  • Strong scaling efficiency exceeds 92.5% on up to 4000 GPUs in High-Performance Computing (HPC) clusters.
  • The method consistently incorporates scalar relativistic effects and allows for the inclusion of spin-orbit coupling (SOC).

Conclusions:

  • The developed PI-driven approach offers remarkable heterogeneous computing efficiency and parallel scalability for determinant-based MR calculations.
  • This methodology significantly advances the capability to perform accurate quantum chemical calculations on large and complex systems.
  • The implementation provides a robust framework for including relativistic effects in advanced electronic structure calculations.