Related Experiment Video
Updated: Jun 22, 2025

Obtaining 3D Chemical Maps by Energy Filtered Transmission Electron Microscopy Tomography
Published on: June 9, 2018
Accurately Computing the Interacted Volume of Molecules over Their 3D Mesh Models
Fangting Li1, Kun Lv1, Xiaohua Liu2
1College of Electrical Engineering, Sichuan University, Chengdu, Sichuan 610065, China.
This study introduces a refined method for calculating molecular interacted volumes, improving accuracy in predicting catalyst and substrate arrangements. The new approach enhances precision by precisely layering and intersecting 3D molecular models.
Area of Science:
- Computational chemistry
- Molecular modeling
- Chemical informatics
Background:
- Accurate calculation of molecular interacted volumes is crucial for predicting catalyst-substrate arrangements.
- Previous methods using 3D point clouds suffered from inaccuracies due to nonuniform density.
- A more robust method is needed for precise volume interaction calculations.
Purpose of the Study:
- To develop a more accurate and stable method for computing molecular interacted volumes.
- To address the limitations of previous methods caused by nonuniform molecular point cloud density.
- To enhance the prediction of rational arrangements of catalysts and substrates.
Main Methods:
- A two-step approach involving prematched mesh slicing of electrostatic potential isosurfaces.
- Layering 3D triangular mesh models to transform volume calculation into area intersection analysis.
- Subdividing polygonal edges for precise identification of intersecting parts within layers and incorporating bounding boxes for efficiency.
Main Results:
- The proposed method achieves high accuracy across different datasets, with an average relative error of 0.07%.
- This represents a significant improvement over the previous algorithm, which had an average relative error of 1.73%.
- The method demonstrates enhanced accuracy and stability in calculating molecular interacted volumes.
Conclusions:
- The novel two-step method significantly improves the accuracy and stability of molecular interacted volume calculations.
- This advancement provides a more reliable tool for predicting catalyst-substrate interactions and molecular arrangements.
- The refined computational approach overcomes previous limitations related to molecular point cloud density variations.
Related Concept Videos
Molecular Comparison of Gases, Liquids, and Solids
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
Molecular Models
Mesh Analysis
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
Van der Waals Interactions
Work Done During Volume Change
Consider a gas confined to a cylinder fitted with a movable piston at one end. If the gas expands from volume V1 to volume V2, it exerts a force on the piston, such that the piston moves by a distance dr.
The work done by the gas on the piston can be expressed as

