HPC SYSTEMS Inc. is actively taking on challenges in the field of multiscale simulations, applying computational chemistry [1] technologies to the CAE [2] field, which has become indispensable in various industrial sectors. This work is being carried out to expand the use of computational chemistry. As part of this effort, quantum chemistry calculation [3] has been applied to the chemical reaction model of the rotating disk CVD [4] process, which is commonly used in semiconductor manufacturing and related fields, to refine the model and verify its validity. Through this endeavor, the potential for utilizing precise calculation results obtained from quantum chemistry as input parameters for reaction-flow analysis [5] has been uncovered. HPC SYSTEMS Inc. is actively continuing to explore these PoC [6] projects.


Table of contents


1.Improvement of Chemical Reaction Models for Reaction-Flow Analysis by Quantum Chemistry Calculation

In this study, the chemical reaction model of the rotating disk CVD process [7], a use case of Chemkin-Pro [8], has been re-evaluated using quantum chemistry calculation to verify its validity for reaction-flow analysis. Specifically, the calculation has focused on the gas-phase reactions within the model (Figure 1).
For the evaluation, activation energies [9] for each elementary reaction have been calculated using the quantum chemistry method, which enables highly accurate energy calculation, and compared with the activation energy values reported in the previous paper (Table 1). Since these activation energies serve as key parameters in reaction-flow analysis, the precise energy values obtained through quantum chemistry calculation are expected to improve the prediction of interactions between chemical reactions and fluid dynamics with higher accuracy.

Figure 1The case of forming a silicon thin film on the surface of a rotating disk by supplying a source gas containing silicon to the central rotating disk [7]

Table 1 Activation energies for each elementary reaction [10]

2.Investigation Results of Quantum Chemistry Calculation

The activation energies have been obtained through the mechanism study of each elementary reaction using quantum chemistry calculation (Figure 2). The comparison with those reported in the previous paper have shown differences, indicating that the potential for utilizing the precise energy values derived from quantum chemistry calculation as input parameters for reaction-flow analysis (Figure 3).

Figure 2Mechanisms of Elementary Reactions (Partial Results)

Figure 3Activation Energies of Elementary Reactions (Partial Results)

3.Keywords & References

[1] Computational Chemistry

The field that uses computer simulation to study atomic and molecular systems as well as chemical reactions. It focuses on understanding and predicting the behavior of atoms and molecules through simulation.

[2] CAE (Computer-Aided Engineering)

The use of software tools to simulate and analyze engineering processes. Primarily used in design and development within the manufacturing industry, CAE has become indispensable across various industrial sectors. Unlike computational chemistry, which focuses on atomic and molecular systems, CAE typically deals with macroscopic engineering applications.

[3] Quantum Chemistry Calculation

The computational method based on the principles of quantum chemistry, which accurately describes the behavior of atoms and molecules. As a part of computational chemistry, it enables precise calculation of molecular properties and reactions.

[4] CVD (Chemical Vapor Deposition)

The process used to create thin films on surfaces through chemical reactions in the gas phase. This technique is widely applied in semiconductor manufacturing and other industrial fields.

[5] Reaction-Flow Analysis

The multiscale analysis method that deals with both chemical reactions and fluid flow, serving to understand their interactions. It integrates macroscopic and microscopic elements to provide a comprehensive understanding of reaction systems.

[6] PoC (Proof of Concept)

The general term referring to a preliminary test or demonstration that verifies the feasibility of an idea, method, or concept before full-scale implementation.

[7] Source Paper

Chris R. Kleijn, Computational modeling of transport
phenomena and detailed chemistry in chemical vapor
deposition - a benchmark solution, Thin Solid Films,
2000, 365, pp.294-306.

[8] Chemkin-Pro

The software tool provided by Ansys that is widely used for modeling and analyzing chemical kinetics and reaction mechanisms. It is particularly used for applications such as combustion analysis and other chemically reacting flow simulations.
Ansys Chemkin-Pro Website

[9] Activation Evergy

The minimum energy required for a chemical reaction to occur. It plays a critical role in reaction kinetics, as it determines the rate of a reaction and influences how reaction rates change under different conditions.
In reaction-flow analysis, activation energy values are used in the Arrhenius equation, the formula that relates reaction rates to temperature and activation energy. By accurately determining these values through quantum chemistry calculation, reaction rates can be simulated with high precision. These simulated rates can then be incorporated into fluid simulation, enabling a detailed understanding of the interactions between chemical reactions and fluid flow. This integration is particularly valuable in processes such as combustion, chemical vapor deposition (CVD), and other industrial applications.

[10] Reference Table

Table 2 described in the previous paper [7]

4. For More Info

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Last Update

First released on Dec. 20, 2024