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Related Concept Videos

Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

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Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
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Force and Potential Energy in Three Dimensions01:04

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Consider a particle moving under the action of a conservative force that has components along each coordinate axis. Each component of force is a function of the coordinates. The potential energy function U is also a function of all three spatial coordinates. Force in one dimension can be written as the negative ratio of potential energy change to the displacement along that coordinate. For minimal displacement, the ratios become derivatives. If a function has many variables, the derivative only...
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In most situations, forces can be grouped into two categories: contact forces and field forces.  Contact forces occur as a result of direct physical contact between objects. Field forces, however, act without the necessity of physical contact between objects. They depend on the presence of a "field" in the region of space surrounding the body under consideration. You can think of a field as a property of space that is detectable by the forces it exerts. Scientists think there...
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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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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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Preface: Special Topic: From Quantum Mechanics to Force Fields.

Jean-Philip Piquemal1, Kenneth D Jordan2

  • 1Laboratoire de Chimie Théorique, UMR 7616 CNRS, UPMC, Sorbonne Universités, 75252 Paris Cedex 05, France.

The Journal of Chemical Physics
|November 4, 2017
PubMed
Summary
This summary is machine-generated.

Theoretical chemists are creating advanced force fields using quantum mechanics data and faster computational methods. This enables more accurate molecular simulations across various scientific disciplines.

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Area of Science:

  • Theoretical Chemistry
  • Computational Science
  • Molecular Modeling

Background:

  • Developing accurate molecular force fields is crucial for simulating complex chemical and biological processes.
  • Existing methods often require computationally expensive electronic structure calculations.
  • Bridging quantum mechanics and classical simulations is an ongoing challenge.

Purpose of the Study:

  • To present recent advances in developing next-generation accurate force fields.
  • To highlight the development of faster electronic structure methods for force field generation and testing.
  • To provide a snapshot of current theoretical progress in molecular simulations.

Main Methods:

  • Utilizing high-level electronic structure calculations to parameterize force fields.
  • Developing and applying novel, faster electronic structure methodologies.
  • Integrating quantum mechanical data into classical molecular simulation frameworks.

Main Results:

  • A collection of 35 original research articles showcasing theoretical breakthroughs.
  • Demonstrated improvements in the accuracy of force fields derived from quantum mechanics.
  • Advancements in computational efficiency for electronic structure calculations.

Conclusions:

  • The integration of quantum mechanics and advanced computational methods is revolutionizing force field development.
  • These advancements pave the way for more accurate and efficient molecular simulations.
  • The presented research impacts chemistry, physics, biophysics, and materials science.