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Related Concept Videos

Phase Diagrams02:39

Phase Diagrams

46.1K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Phase Diagram01:19

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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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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Molecular Models02:00

Molecular Models

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Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
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VSEPR Theory for Determination of Electron Pair Geometries
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The fundamental mathematical principles, such as calculus and graphs, play crucial roles in analyzing drug movement and determining pharmacokinetic parameters. Differential calculus examines rates of change and helps to determine the dissolution rate of drugs in biofluids, as well as how drug concentrations change over time. For instance, it can help calculate the rate of elimination of a drug from the body based on its concentration-time profile.
On the other hand, integral calculus focuses on...
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Updated: Nov 5, 2025

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Predicting Single-Substance Phase Diagrams: A Kernel Approach on Graph Representations of Molecules.

Yan Xiang1, Yu-Hang Tang2, Hongyi Liu1

  • 1School of Chemistry and Chemical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.

The Journal of Physical Chemistry. A
|May 17, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a novel graph representation for molecules with Gaussian process regression (GPR) to accurately predict thermodynamic properties. The method achieves experimental precision and quantifies prediction reliability.

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Area of Science:

  • Computational chemistry
  • Materials science
  • Chemical engineering

Background:

  • Predicting thermodynamic properties of pure substances is crucial for chemical process design.
  • Existing methods often lack accuracy or transferability across different phases.
  • Accurate property prediction aids in material discovery and process optimization.

Purpose of the Study:

  • To develop a novel graph representation for molecules to predict thermodynamic properties.
  • To implement a Gaussian process regression (GPR) model utilizing this graph representation.
  • To assess the accuracy and reliability of the GPR model for single, double, and triple phase properties.

Main Methods:

  • A transferable molecular graph representation was developed as input for a marginalized graph kernel.
  • Gaussian process regression (GPR) models were employed, incorporating radial basis function kernels for temperature and pressure.
  • The model predicted critical temperature, vapor-liquid equilibrium (VLE) density, and pressure-temperature density for pure substances.

Main Results:

  • The GPR model achieved prediction accuracy comparable to experimental measurement precision.
  • The model demonstrated reliability through quantifiable posterior uncertainty for each prediction.
  • The proposed graph representation and GPR approach outperformed Morgan fingerprints and graph neural networks.

Conclusions:

  • The novel molecular graph representation coupled with GPR offers a highly accurate and reliable method for predicting thermodynamic properties.
  • This approach provides a robust tool for computational chemistry and materials science.
  • The ability to quantify prediction uncertainty enhances the practical applicability of the model.