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A Review inside Innovation: AI and Additive Manufacturing for Advanced Bone Scaffold Design
Francis T Omigbodun
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General-science Group Research Article Article ID: igmin317

Semiclassical Potential Function of B–B Interaction: Reduction to Integrable Form

Physics DOI10.61927/igmin317
Levan Chkhartishvili *
Affiliation

Affiliation

    Engineering Physics Department, Georgian Technical University, 77 Merab Kostava Avenue, Tbilisi, 0160, Georgia

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Abstract

The paper represents Part 1 of 2 of the study aimed at constructing a semiclassical interaction potential between a pair of boron atoms in an analytical form, thus allowing one ab initio determination of the key ground state parameters of the diboron molecule B2. Based on semiclassical expressions for the electron orbitals of the B atom, the B–B potential function is reduced to a linear combination of exponential integrals, which can be calculated in elementary functions.

References

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    2. Chkhartishvili L, Berberashvili T. Intra-atomic electric field radial potentials in step-like presentation. J Electromagn Anal Appl. 2010;2(4): 205-243. https://doi.org/10.4236/jemaa.2010.24029
    3. Chkhartishvili L, Berberashvili T. Again on effective electrical charge of atomic nuclei. Nano Studies 2013;8:267-272.
    4. Chkhartishvili L, Lezhava D, Tsagareishvili O. Quasi-classical determination of electronic energies and vibration frequencies in boron compounds. J Solid State Chem. 2000;154(1):148-152. https://doi.org/10.1006/jssc.2000.8826
    5. Chkhartishvili L. On quasi-classical estimations of boron nanotubes' ground-state parameters. J Phys Conf Ser. 2009;176:012013. https://doi.org/10.1088/1742-6596/176/1/012013
    6. Chkhartishvili L, Murusidze I, Darchiashvili M, Tsagareishvili O, Gabunia D. Metal impurities in crystallographic voids of beta-rhombohedral boron lattice: Binding energies and electron levels. Solid State Sci. 2012;14(11/12):1673-1682. https://doi.org/10.1016/j.solidstatesciences.2012.06.009
    7. Sartinska L, Chkhartishvili L, Voynich E, Eren T, Frolov G, Altay E, Murusidze I, Tsagareishvili O, Gabunia D, Maisuradze N. Effect of concentrated light on morphology and vibrational properties of boron and tantalum mixtures. Heliyon. 2018 Mar 26;4(3):e00585. doi: 10.1016/j.heliyon.2018.e00585. PMID: 29862348; PMCID: PMC5968138.
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    12. Al-Raeei M. A formula of Tietz potential parameters and applying for scandium iodine, nitrogen iodine, rubidium hydride, nitrogen, and carbon monoxide molecules. Canadian J Phys. 2023;101(4):151-202. https://doi.org/10.1139/cjp-2022-0250
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