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Related Concept Videos

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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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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The universe is composed of matter in different forms, and all forms of matter contain energy.  The different forms of energy on Earth originate from the Sun — the ultimate energy source. Plants capture light energy from the Sun, and, via the process of photosynthesis, convert it into chemical energy. This stored energy from plants can be harnessed in many ways. For example, eating plant products as food provides energy for our body to function, and burning wood or coal (fossilized...
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Free energy—abbreviated as G for the scientist Gibbs who discovered it—is a measurement of useful energy that can be extracted from a reaction to do work. It is the energy in a chemical reaction that is available after entropy is accounted for. Reactions that take in energy are considered endergonic and reactions that release energy are exergonic. Plants carry out endergonic reactions by taking in sunlight and carbon dioxide to produce glucose and oxygen. Animals, in turn, break...
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Most plants use the C3 pathway for carbon fixation. However, some plants, such as sugar cane, corn, and cacti that grow in hot conditions, use alternative pathways to fix carbon and conserve energy loss due to photorespiration. Photorespiration is the process that occurs when the oxygen concentration is high. Under such conditions, the rubisco enzyme in the Calvin cycle binds O2 instead of CO2, which halts photosynthesis and consumes energy.
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Minimum energy pathways via quantum Monte Carlo.

S Saccani1, C Filippi, S Moroni

  • 1SISSA Scuola Internazionale Superiore di Studi Avanzati and DEMOCRITOS National Simulation Center, Istituto Officina dei Materiali del CNR Via Bonomea 265, I-34136, Trieste, Italy.

The Journal of Chemical Physics
|March 8, 2013
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Summary
This summary is machine-generated.

Quantum Monte Carlo (QMC) calculations offer superior accuracy over density functional theory (DFT) for chemical reaction pathways. QMC is a viable alternative for complex reactions and larger systems where DFT methods fail.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Chemical Physics

Background:

  • Accurate prediction of chemical reaction pathways is crucial for understanding chemical processes.
  • Density functional theory (DFT) is widely used but has limitations in accuracy for certain systems.
  • High-level quantum chemistry methods are computationally expensive for larger systems.

Purpose of the Study:

  • To evaluate the performance of quantum Monte Carlo (QMC) calculations for determining minimum energy pathways of chemical reactions.
  • To compare QMC results with those from DFT and high-level quantum chemistry methods.
  • To assess the viability of QMC for challenging chemical reactions and larger systems.

Main Methods:

  • Quantum Monte Carlo (QMC) calculations were employed.
  • Minimum energy pathways, geometries, and reaction barriers were computed.
  • Results were compared against density functional theory (DFT) and other quantum chemistry methods.

Main Results:

  • QMC calculations generally demonstrated significantly higher accuracy than DFT.
  • QMC successfully treated cases where DFT failed to locate transition states or yielded inaccurate results.
  • The employed QMC wave function form is simple and transferable to larger systems.

Conclusions:

  • QMC is a viable and useful computational approach for chemical reactions where DFT is inaccurate.
  • QMC offers a promising alternative for studying larger chemical systems beyond the reach of traditional high-level quantum chemistry methods.