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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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Quantum Numbers02:43

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to...
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Atomic Nuclei: Nuclear Spin State Overview01:03

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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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The Energies of Atomic Orbitals03:21

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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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Generation of Quantum Configurational Ensembles Using Approximate Potentials.

João Morado1, Paul N Mortenson2, J Willem M Nissink3

  • 1School of Chemistry, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom.

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|October 13, 2021
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A new multilevel Monte Carlo (MC) method enables accurate conformational analysis for drug design by minimizing computational cost. This approach re-parametrizes force fields (FFs) to achieve quantum mechanics (QM) accuracy efficiently.

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Area of Science:

  • Computational Chemistry
  • Drug Design
  • Molecular Modeling

Background:

  • Conformational analysis is critical for drug design, impacting pharmacological properties and molecular recognition.
  • Molecular Mechanics (MM) simulations (MC, MD) are standard for conformational sampling but limited by force field (FF) accuracy and parametrization.
  • High-level quantum mechanics (QM) methods offer accuracy but are computationally prohibitive for extensive sampling.

Purpose of the Study:

  • To develop a computationally efficient multilevel Monte Carlo (MC) method for generating accurate quantum mechanical (QM) configurational ensembles.
  • To improve the accuracy of MM simulations by re-parametrizing force fields (FFs) to better reproduce QM results.
  • To establish the MC acceptance rate as a reliable metric for assessing MM and QM theoretical similarity.

Main Methods:

  • A novel multilevel MC approach was implemented to bridge the accuracy gap between MM and QM methods.
  • Force field (FF) re-parametrization was employed to create low-cost models achieving QM-level accuracy.
  • A self-parametrizing algorithm was developed, integrating sampling and FF parametrization for advanced applications.

Main Results:

  • The multilevel MC method successfully generated quantum configurational ensembles at a reduced computational cost.
  • FF re-parametrization proved effective in enhancing MM accuracy, closely matching QM results.
  • The MC acceptance rate was identified as a robust indicator of phase space overlap and MM-QM similarity.

Conclusions:

  • The developed multilevel MC method offers an efficient strategy for accurate conformational analysis in drug design.
  • Reparametrizing FFs is a viable approach to achieve high-accuracy molecular modeling without prohibitive computational expense.
  • The methodology, including its self-parametrizing variant, is applicable to complex systems like ligand distributions in solution.