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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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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...
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Outline of Neutron Scattering Formalism.

N F Berk1

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899.

Journal of Research of the National Institute of Standards and Technology
|January 6, 2017
PubMed
Summary

This study surveys neutron scattering formalism, covering key concepts like coherent and incoherent scattering, cross-sections, and various scattering types. It provides a foundational overview for understanding neutron interactions and their applications.

Keywords:
elastic scatteringinelastic scatteringneutron scatteringneutron scattering theoryquasielastic scatteringsmall angle scattering

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Area of Science:

  • Physics
  • Materials Science
  • Condensed Matter Physics

Background:

  • Neutron scattering is a powerful technique for probing material structures and dynamics.
  • A comprehensive understanding of the underlying formalism is crucial for accurate data interpretation.

Purpose of the Study:

  • To provide a concise survey of neutron scattering formalism.
  • To introduce fundamental concepts and various scattering regimes relevant to researchers.

Main Methods:

  • Review of established theoretical frameworks for neutron scattering.
  • Discussion of key parameters including cross-sections and scattering functions.

Main Results:

  • Detailed explanation of coherent and incoherent scattering processes.
  • Overview of elastic, inelastic, quasielastic, and small-angle neutron scattering techniques.
  • Introduction to magnetic scattering and neutron optics.

Conclusions:

  • The survey covers essential aspects of neutron scattering theory.
  • Provides a valuable reference for scientists utilizing neutron scattering techniques.