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İkici Virial Katsayısının Morse Potansiyeli ile Analitik Hesaplanması ve Nötral Soygaz Atomlarına Uygulanması

1Tokat Gaziosmanpaşa University
2Giresun University
✉ Corresponding author: Bahtiyar  Mehmetoğlu · bahtiyar.mehmetoglu@gop.edu.tr
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Abstract

The noble gas plasmas have significant importance due to their high ionization energies requiring high temperature plasma investigation of neutral atom interactions through an analytical calculation of the second virial coefficient (SVC) with preferably Morse potential. The results of the calculations are very important for further investigation of the thermodynamical properties of plasmas by using the Generalized Chemical Model which has significant importance for low density partially ionized plasmas. The SVC data are taken up to a specific temperature for every noble gas due to absence of neutral atoms in the plasma after that specific value of the temperature. Results are compared with another analytical method from the literature as well as numerical results. Although some small deviations are found between the two analytical calculations of the SVC for

English-language details

Analytical Calculation of the Second Virial Coefficient Using Morse Potential and its Application to Neutral Noble Gas Atoms

The noble gas plasmas have significant importance due to their high ionization energies requiring high temperature plasma investigation of neutral atom interactions through an analytical calculation of the second virial coefficient (SVC) with preferably Morse potential. The results of the calculations are very important for further investigation of the thermodynamical properties of plasmas by using the Generalized Chemical Model which has significant importance for low density partially ionized plasmas. The SVC data are taken up to a specific temperature for every noble gas due to absence of neutral atoms in the plasma after that specific value of the temperature. Results are compared with another analytical method from the literature as well as numerical results. Although some small deviations are found between the two analytical calculations of the SVC for 𝐵 and 𝑆𝑖 semiconductors, results for the noble gases 𝐻𝑒, 𝑁𝑒, 𝐴𝑟, 𝐾𝑟 and 𝑋𝑒 are exactly the same. The maximum percent error found to be % 0.0074 between analytical and numerical value for 𝐻𝑒 gas at 21000 𝐾 for the noble gases, approving the success of the new analytical method. The reason for this specific low percent error for the noble gases might be due to the small potential well depth values for the noble gases which is one of the Morse parameters effecting the calculations.

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Cite this article

Mehmetoğlu, B., & Cacan, H. (2018). Analytical Calculation of the Second Virial Coefficient Using Morse Potential and its Application to Neutral Noble Gas Atoms. In 2nd International Symposium on Innovative Approaches in Scientific Studies (pp. 121–123). SET Technology.

Article History

Published
31 Dec 2018

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© 2018 SET Technology. This article is distributed under the terms of the CC BY 4.0.

Research Contributions (2019+)Peer reviewed by at least two reviewers
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