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Related Concept Videos

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A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
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In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
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Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
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Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
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Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
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Updated: Nov 16, 2025

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

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Vibrational heat-bath configuration interaction.

Jonathan H Fetherolf1, Timothy C Berkelbach1

  • 1Department of Chemistry, Columbia University, New York, New York 10027, USA.

The Journal of Chemical Physics
|February 20, 2021
PubMed
Summary
This summary is machine-generated.

We developed vibrational heat-bath configuration interaction (VHCI), an accurate and efficient method for calculating vibrational energy levels in complex molecules. VHCI provides highly accurate vibrational spectra with low computational cost.

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Area of Science:

  • Quantum Chemistry
  • Computational Spectroscopy
  • Molecular Vibrations

Background:

  • Calculating vibrational eigenstates of anharmonic systems is computationally demanding.
  • Existing methods often struggle with accuracy or efficiency for large molecular systems.

Purpose of the Study:

  • Introduce vibrational heat-bath configuration interaction (VHCI) as a novel method.
  • Achieve accurate and efficient calculation of vibrational eigenstates for anharmonic systems.

Main Methods:

  • VHCI is a selected configuration interaction (CI) approach.
  • Utilizes anharmonic force constants for basis state selection.
  • Incorporates screened second-order perturbation theory and extrapolation for energy estimates.

Main Results:

  • VHCI was benchmarked on four molecules (12-48 degrees of freedom).
  • Used anharmonic potential energy surfaces truncated at fourth and sixth orders.
  • Achieved sub-wavenumber accuracy for tens to hundreds of vibrational states.

Conclusions:

  • VHCI offers a significant improvement over existing methods.
  • Provides accurate vibrational spectra at low computational cost.
  • Enables efficient study of anharmonic molecular vibrations.