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Related Concept Videos

Electronic Structure of Atoms02:28

Electronic Structure of Atoms


An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum numbers:  n, l, ml, and...
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Valence Bond Theory and Hybridized Orbitals

According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
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The Quantum-Mechanical Model of an Atom

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. Schrödinger...
π Electron Effects on Chemical Shift: Overview01:27

π Electron Effects on Chemical Shift: Overview

An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0, resulting in...
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Molecular Orbital Energy Diagrams
Electron Configuration of Multielectron Atoms03:26

Electron Configuration of Multielectron Atoms

The alkali metal sodium (atomic number 11) has one more electron than the neon atom. This electron must go into the lowest-energy subshell available, the 3s orbital, giving a 1s22s22p63s1 configuration. The electrons occupying the outermost shell orbital(s) (highest value of n) are called valence electrons, and those occupying the inner shell orbitals are called core electrons. Since the core electron shells correspond to noble gas electron configurations, we can abbreviate electron...

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Development of electron-proton density functionals for multicomponent density functional theory.

Arindam Chakraborty1, Michael V Pak, Sharon Hammes-Schiffer

  • 1Department of Chemistry, 104 Chemistry Building, Pennsylvania State University, University Park, Pennsylvania 16802, USA.

Physical Review Letters
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

We developed a new quantum mechanical approach for electron-proton systems, improving accuracy in molecular property calculations. This method accurately captures hydrogen nuclear densities for complex molecular simulations.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Theoretical Chemistry

Background:

  • The Born-Oppenheimer approximation is a cornerstone of molecular simulations, but it limits accuracy for systems with light nuclei.
  • Accurate treatment of nuclear quantum effects is crucial for understanding molecular properties, especially for hydrogen.

Purpose of the Study:

  • To develop a novel strategy for electron-proton density functionals within multicomponent density functional theory.
  • To enable quantum mechanical treatment of selected nuclei alongside electrons, bypassing the Born-Oppenheimer approximation.

Main Methods:

  • Development of an electron-proton density functional.
  • Utilizing an explicitly correlated electron-proton pair density in the functional derivation.
  • Applying multicomponent density functional theory to include nuclear quantum effects.

Main Results:

  • The derived electron-proton functional accurately predicts hydrogen nuclear densities.
  • This leads to reliable calculations of molecular properties.
  • The methodology shows potential for application to larger molecular systems.

Conclusions:

  • The proposed strategy offers a robust method for incorporating nuclear quantum effects in electronic structure calculations.
  • Accurate hydrogen nuclear densities are achievable, enhancing the predictive power of theoretical chemistry.
  • This approach broadens the scope of quantum mechanically treated systems in computational chemistry.