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Related Concept Videos

Atomic Radii and Effective Nuclear Charge03:08

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Electric Field of a Continuous Line Charge01:19

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In physics, symmetry in a system means that something in the considered system remains unchanged due to a specific operation to which it is subjected. For example, consider a horizontal square. The square looks the same if its right and left sides are interchanged. Hence, it is symmetric under a right-left interchange.
In calculations of electric fields, symmetry is of great use. For example, while calculating electric fields of continuous charge distributions.
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Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
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The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
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Magnetic Field due to Moving Charges01:23

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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
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An analytical methodology can be divided into four sequential steps: technique, method, procedure, and protocol. A technique is a scientific principle that rationalizes a specific phenomenon through chemical measurements. Adapting a technique for analyzing a sample of interest is termed a method. The procedure outlines the directions for performing the analysis via an analytical method. The protocol is the detailed guidelines on the procedure, which should be strictly followed to obtain the...
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Analytical Nuclear Gradients for the Multiconfigurational Self-Consistent Field Method Coupled with the Polarizable

Francesco Mazza1, Marco Trinari1, Chiara Sepali1

  • 1Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.

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|January 27, 2026
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Summary
This summary is machine-generated.

This study introduces an advanced multiscale model for calculating nuclear gradients in molecules. The new method accurately simulates vibronic spectra of aromatic molecules in solution, capturing both molecular and solvent dynamics.

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Area of Science:

  • Computational chemistry
  • Theoretical chemistry
  • Molecular spectroscopy

Background:

  • Accurate simulation of molecular properties requires sophisticated computational models.
  • Understanding solute-solvent interactions is crucial for predicting spectra in solution.
  • Existing models may struggle to capture both multireference electronic character and dynamic solvation effects.

Purpose of the Study:

  • To extend the multiscale multiconfigurational self-consistent field (MCSCF) and Fluctuating Charges (FQ) model to compute analytical nuclear gradients.
  • To implement and validate these gradients for simulating vibronic absorption spectra.
  • To assess the model's ability to describe molecular flexibility and solvent dynamics.

Main Methods:

  • First-principles derivation and implementation of MCSCF/FQ nuclear gradients in OpenMolcas.
  • Validation against numerical references.
  • Integration with molecular dynamics simulations for vibronic spectra calculation.

Main Results:

  • Successful implementation of analytical nuclear gradients for the MCSCF/FQ model.
  • Accurate simulation of vibronic absorption spectra for benzene and phenol in aqueous solution.
  • Excellent agreement with experimental band profiles and intensities.

Conclusions:

  • The extended MCSCF/FQ model accurately captures multireference character and solvent interactions.
  • The approach effectively simulates vibronic spectra by including conformational and dynamical solvation effects.
  • This method provides a powerful tool for studying complex molecular systems in solution.