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Related Concept Videos

Sampling Plans01:23

Sampling Plans

181
Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...
181

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Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Surface phase diagrams from nested sampling.

Mingrui Yang1, Livia B Pártay2, Robert B Wexler1

  • 1Department of Chemistry and Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA. wexler@wustl.edu.

Physical Chemistry Chemical Physics : PCCP
|April 25, 2024
PubMed
Summary
This summary is machine-generated.

Nested sampling (NS) models surface phase equilibria at any temperature by calculating partition functions. This study extends NS to map adsorbate phase diagrams, revealing temperature-driven phase transitions and geometric effects on surface modeling.

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Area of Science:

  • Computational Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Calculating surface phase equilibria at finite temperatures is computationally challenging.
  • Traditional methods often focus on near-zero Kelvin temperatures.
  • Free energy calculations are crucial for understanding surface phenomena.

Purpose of the Study:

  • Extend the nested sampling (NS) algorithm for surface phase equilibria modeling.
  • Calculate adsorbate phase diagrams incorporating configurational free energy contributions.
  • Investigate phase transitions and thermodynamic properties of adsorbed particles.

Main Methods:

  • Utilized Bayesian-inference-based nested sampling (NS) for partition function calculation.
  • Applied NS to Lennard-Jones (LJ) gas adsorption on LJ solid surfaces.
  • Constructed canonical partition functions to compute ensemble averages.

Main Results:

  • Determined phase transition nature for adsorbed LJ particles on flat and stepped surfaces.
  • Observed enthalpy-driven condensation at higher temperatures and entropy-driven reordering at lower temperatures.
  • Analyzed the impact of surface geometry on triple points in phase diagrams.

Conclusions:

  • Demonstrated the capability of NS for accurate surface modeling at arbitrary temperatures.
  • Highlighted the potential of NS for calculating adsorbate phase diagrams and thermodynamic properties.
  • Provided insights into surface phase behavior influenced by temperature and geometry.