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Related Concept Videos

The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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¹H NMR Signal Multiplicity: Splitting Patterns

When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
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Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.
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Phase Changes

Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
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The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).

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Related Experiment Video

Updated: Jun 4, 2026

Scattering And Absorption of Light in Planetary Regoliths
11:34

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Effective scattering phase functions for the multiple scattering regime.

Jacek Piskozub1, David McKee

  • 1Institute of Oceanology, Polish Academy of sciences, Sopot, Poland.

Optics Express
|March 4, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed simple formulas to predict light scattering in turbid media. These formulas accurately describe photon angular distribution after multiple scattering events, using only single scattering properties.

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Area of Science:

  • Optical science, including atmospheric, oceanographic, astrophysical, and medical applications.

Background:

  • Light propagation through turbid media is crucial in various scientific fields.
  • Photon angular distribution after single scattering is defined by the scattering phase function.
  • Multiple scattering events in turbid media lack a descriptive function for photon angular distribution.

Purpose of the Study:

  • To present simple analytic formulas for describing photon angular distribution after multiple scattering.
  • To provide a method for predicting light propagation in turbid media beyond single scattering events.

Main Methods:

  • Development of analytic formulas based on single scattering albedo and phase function.
  • Mathematical modeling of photon propagation through turbid media.

Main Results:

  • Formulas accurately describe photon angular distribution after multiple scattering.
  • The proposed method relies solely on single scattering properties.

Conclusions:

  • The developed formulas offer a novel way to analyze light propagation in turbid media.
  • This work simplifies the understanding of multiple scattering effects on photon distribution.