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Related Concept Videos

Raman Spectroscopy: Overview01:20

Raman Spectroscopy: Overview

The underlying principle of Raman spectroscopy is based on the interaction between light and matter, specifically molecules' inelastic scattering of photons. When a monochromatic beam of light, typically from a laser source, interacts with a sample, most scattered light has the same frequency as the incident light. This is known as Rayleigh scattering.
However, a small fraction of the scattered light exhibits a frequency shift due to the exchange of energy between the incident photons and the...
Pressure and Volume in an Adiabatic Process01:27

Pressure and Volume in an Adiabatic Process

Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is,
Variation of Atmospheric Pressure01:18

Variation of Atmospheric Pressure

Change in atmospheric pressure with height is particularly interesting. The decrease in atmospheric pressure with increasing altitude is due to the decreasing gravitational force per unit area as we move away from the surface of the earth.
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
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Response Surface Methodology01:16

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Response Surface Methodology (RSM) is a collection of statistical and mathematical techniques used to develop, improve, and optimize processes. It is particularly valuable when many input variables or factors potentially influence a response variable.
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Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

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Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
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A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.

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Raman response function of atmospheric air.

Aleksei M Zheltikov1

  • 1Physics Department, International Laser Center. M.V. Lomonosov Moscow State University, Voro'evy gory, 119992 Moscow, Russia. zheltikov@phys.msu.ru

Optics Letters
|July 17, 2007
PubMed
Summary

A new model analyzes the full Raman response of gases, revealing that molecular rotations and vibrations significantly impact optical nonlinearity in atmospheric air, especially with short laser pulses or high temperatures.

Area of Science:

  • Physics
  • Physical Chemistry
  • Optics

Background:

  • Understanding the optical nonlinearity of atmospheric air is crucial for laser-matter interactions.
  • The Raman response function, which describes how molecules interact with light, is complex and influenced by molecular motions.

Purpose of the Study:

  • To develop and apply a comprehensive model for the Raman response function of gas mixtures.
  • To investigate the influence of molecular rotational and vibrational motions on the retarded optical nonlinearity of atmospheric air.

Main Methods:

  • Development of a theoretical model for the full Raman response function.
  • Application of the model to atmospheric air under various conditions (laser pulse characteristics, gas temperature).

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Main Results:

  • Both rotational and vibrational molecular motions significantly contribute to the Raman response of atmospheric air.
  • The interplay between rotational and vibrational contributions is sensitive to gas temperature and laser pulse temporal shape.
  • This significantly affects the retarded optical nonlinearity.

Conclusions:

  • The presented model provides a detailed understanding of Raman response in gas mixtures.
  • Accurate modeling of optical nonlinearity in atmospheric air requires considering both rotational and vibrational molecular dynamics.
  • Gas temperature and laser pulse characteristics are key parameters controlling the nonlinear optical response.