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Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
UV–Vis Spectroscopy: Beer–Lambert Law01:09

UV–Vis Spectroscopy: Beer–Lambert Law

The Beer-Lambert law describes the relationship between absorbance and concentration, which combines the principles established by scientists Johann Heinrich Lambert and August Beer. Lambert's law states that when light passes through a medium, the loss in intensity is directly proportional to the original intensity and the path length of the light. Beer's law proposed that the transmittance of a solution remains constant if the product of concentration and path length is constant. The modern...
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...
Principle of Linear Impulse and Momentum for a Single Particle01:20

Principle of Linear Impulse and Momentum for a Single Particle

Linear momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, having a magnitude equal to the product of its mass and its velocity, and direction along the object's velocity. On the other hand, linear impulse, also known as momentum impulse, is a concept in physics related to the change in the linear momentum of an object. Impulse is a vector quantity defined as the product of force and the time over which the force is applied.
Delving into...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

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Related Experiment Video

Updated: May 21, 2026

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

One-particle correlation function in evanescent wave dynamic light scattering.

Maciej Lisicki1, Bogdan Cichocki, Jan K G Dhont

  • 1Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681 Warsaw, Poland. Maciej.Lisicki@fuw.edu.pl

The Journal of Chemical Physics
|June 7, 2012
PubMed
Summary
This summary is machine-generated.

This study analyzes the long-term behavior of evanescent wave autocorrelation functions for dilute colloidal suspensions. We developed an efficient simulation method and compared it with cumulant expansions and experiments, finding existing analytical models to be inaccurate.

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Area of Science:

  • Soft Matter Physics
  • Colloid Science
  • Scattering Techniques

Background:

  • Intensity autocorrelation functions in evanescent wave scattering are crucial for interpreting experimental data.
  • Previous research focused on the initial decay rates, leaving the longer time dependence under-analyzed.
  • Accurate theoretical models are needed for dilute suspensions of spherical colloids.

Purpose of the Study:

  • To provide a theoretical analysis of the longer time dependence of evanescent wave autocorrelation functions.
  • To develop and validate an efficient simulation method for analyzing these functions.
  • To compare simulation results with cumulant expansions and experimental data.

Main Methods:

  • Development of an efficient simulation method exploiting the mathematical structure of the probability density function's time-evolution.
  • Comparison of simulation results with first and second-order cumulant expansions.
  • Experimental validation using dilute suspensions of spherical colloids.

Main Results:

  • The developed simulation method accurately captures the longer time dependence of evanescent wave autocorrelation functions.
  • First and second-order cumulant expansions show limitations in describing the full time dependence.
  • Existing analytical results neglecting hydrodynamic interactions are found to be inaccurate.

Conclusions:

  • The study presents a robust theoretical framework and simulation approach for evanescent wave autocorrelation functions.
  • The findings highlight the limitations of previous analytical models and the importance of hydrodynamic interactions.
  • The developed method provides a more accurate tool for analyzing experimental data in colloid science.