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Pressure Variation in a Fluid at Rest01:11

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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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Related Experiment Video

Updated: Jun 30, 2025

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
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Correlated libration in liquid water.

David P Shelton1

  • 1Department of Physics and Astronomy, University of Nevada, Las Vegas, Nevada 89154-4002, USA.

The Journal of Chemical Physics
|March 21, 2024
PubMed
Summary
This summary is machine-generated.

Researchers used hyper-Raman scattering to analyze liquid water's libration spectrum. This study reveals new details about water's molecular dynamics and correlations.

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Area of Science:

  • Molecular Spectroscopy
  • Physical Chemistry
  • Condensed Matter Physics

Background:

  • Understanding the dynamics of liquid water is crucial due to its ubiquitous role in nature and science.
  • Previous studies have explored water's vibrational and libration spectra, but detailed analysis of libration modes remains challenging.

Purpose of the Study:

  • To resolve and characterize the libration spectrum of liquid H2O using advanced spectroscopic techniques.
  • To investigate the influence of intermolecular interactions and correlations on water's libration dynamics.

Main Methods:

  • Utilized polarization analysis of hyper-Raman scattering (HRS) to probe the libration spectrum of liquid H2O.
  • Analyzed spectral features, including band positions, splitting, and intensity differences, to infer molecular interactions and correlations.

Main Results:

  • Resolved the libration spectrum into an octupolar twisting band (485 cm-1) and dipolar rocking-wagging bands (707, 743 cm-1).
  • Identified short-range ( < 2 nm) dipole interactions and orientation correlations responsible for band splitting.
  • Observed long-range (> 200 nm) libration correlations influencing band intensity differences, similar to ice libration modes.
  • Determined libration relaxation times between 36-54 fs.
  • Detected long-range correlations in molecular orientation, hindered translation, bending, and stretching vibrations via polarization analysis.

Conclusions:

  • The study provides a detailed characterization of liquid water's libration spectrum, distinguishing between octupolar and dipolar modes.
  • Demonstrated the significant role of both short- and long-range correlations in shaping water's libration dynamics.
  • The findings offer insights into the complex molecular interactions governing liquid water structure and dynamics.