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Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization
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The ideal gas law is based on two simplifying assumptions: first, that there are no intermolecular attractions between gas molecules, and second, that the volume occupied by the molecules themselves is negligible compared with the volume of the container. However, these assumptions don't hold up under all conditions - specifically, at high pressures and low temperatures, as gas tends to deviate from ideal gas behavior.The van der Waals equation is an enhanced version of the ideal gas law,...
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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Van der Waals Equation01:10

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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Interactive quantum chemistry: a divide-and-conquer ASED-MO method.

Mäel Bosson1, Caroline Richard, Antoine Plet

  • 1NANO-D - INRIA Grenoble - Rhône-Alpes/CNRS Laboratoire Jean Kuntzmann, Saint Ismier, France. mael.bosson@inria.fr

Journal of Computational Chemistry
|January 10, 2012
PubMed
Summary
This summary is machine-generated.

Interactive quantum chemistry simulations are now possible for large systems using a novel divide-and-conquer approach. This method offers accurate, efficient, and real-time feedback for molecular design and prototyping.

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Molecular Modeling

Background:

  • Traditional quantum chemistry simulations are computationally intensive, limiting their application to smaller systems.
  • Semiempirical methods offer a balance between accuracy and speed but often lack interactivity for complex systems.

Purpose of the Study:

  • To develop an interactive quantum chemistry simulation method for large molecular systems.
  • To implement and validate a divide-and-conquer approach for atom superposition and electron delocalization molecular orbital (ASED-MO) theory.
  • To enable real-time feedback for molecular design and prototyping.

Main Methods:

  • Utilized a divide-and-conquer (D&C) algorithm for non-self-consistent semiempirical quantum chemistry.
  • Employed direct algorithms for all computational steps, ensuring controllable and non-iterative calculations.
  • Analyzed D&C approach errors empirically and theoretically using analytically solvable toy models.

Main Results:

  • Achieved linear complexity with respect to the number of atoms and efficient scaling with the number of cores.
  • Demonstrated interactive quantum chemistry simulations for systems up to a few hundred atoms on a desktop computer.
  • Showcased immediate, intuitive feedback on chemical structures during molecular editing.

Conclusions:

  • The D&C approach provides an accurate and efficient method for interactive quantum chemistry simulations.
  • Interactive simulations at the ASED-MO level are feasible for systems of hundreds of atoms.
  • This technology holds significant potential for accelerating the understanding, design, and prototyping of molecules, devices, and materials.