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Quantum Numbers02:43

Quantum Numbers

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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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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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Fruit Development, Structure, and Function01:58

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Fruits form from a mature flower ovary. As seeds develop from the ovules contained within, the ovary wall undergoes a series of complex changes to form fruit. In some fruits, such as soybeans, the ovary wall dries; in other fruits, such as grapes, it remains fleshy. In some cases, organs other than the ovary contribute to fruit formation; such fruits are called accessory fruits.
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Methods of Sterilization II: Chemical Methods01:30

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In healthcare, the chemical method of sterilization uses chemical sterilants to treat surgical instruments and medical supplies to help prevent the transmission of infectious pathogens to patients. Due to heat sensitivity, most medical supplies and equipment should not be exposed to high temperatures. These parts include rubber, plastic, glass, and other similar elements.
Using chemical sterilization rather than heat to clean out equipment is recommended. It eradicates and removes all bacteria,...
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Moment of Inertia about an Arbitrary Axis01:20

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The moment of inertia is typically associated with principal axes, but it can also be computed for any random axis. When an arbitrary axis is under consideration, the moment of inertia is determined by integrating the mass distribution of the object along that specific axis. It is crucial in applications like the design of machinery, where components rotate about various axes, and balance and stability are essential.
In this scenario, the perpendicular distance between the chosen arbitrary axis...
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Angular Momentum about an Arbitrary Axis01:11

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Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
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Updated: Feb 5, 2026

Free Radicals in Chemical Biology: from Chemical Behavior to Biomarker Development
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Toward quantum-chemical method development for arbitrary basis functions.

Michael F Herbst1, Andreas Dreuw1, James Emil Avery2

  • 1Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany.

The Journal of Chemical Physics
|September 9, 2018
PubMed
Summary
This summary is machine-generated.

A new quantum-chemical method development framework, molsturm, enables flexible electronic structure calculations using any basis function. This open-source package facilitates testing novel approaches and integrating with existing tools for broader computational chemistry research.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Method development

Background:

  • Developing flexible computational chemistry frameworks is crucial for advancing electronic structure calculations.
  • Existing software often has limitations in supporting diverse basis functions.
  • Integration with external tools enhances the utility of computational chemistry packages.

Purpose of the Study:

  • To design and implement a flexible quantum-chemical method development framework.
  • To create a basis-function-independent self-consistent field scheme.
  • To enable seamless integration with third-party packages via versatile interfaces.

Main Methods:

  • Implementation of a light-weight program package named molsturm.
  • Development of versatile interfaces using open standards like Python.
  • Demonstration of arbitrary basis function use in coupled-cluster doubles and geometry optimization.

Main Results:

  • molsturm provides a basis-function-independent self-consistent field scheme.
  • The framework allows for rapid extension of computational methods and addition of new basis function types.
  • Successful implementation of coupled-cluster doubles and gradient-free geometry optimization using arbitrary basis functions.

Conclusions:

  • molsturm offers a flexible platform for developing and testing quantum-chemical methods.
  • The basis-function independence and integration capabilities accelerate research in electronic structure calculations.
  • The open-source nature of molsturm promotes wider adoption and collaboration in computational chemistry.