Энергетические спектры, ожидаемые значения и термодинамические свойства двуатомных молекулHClи LiH
DOI:
https://doi.org/10.31489/2024No1/124-137Ключевые слова:
приближение Грина-Олдрича, связанное состояние, теорема Хеллмана-Фейнмана, термодинамические свойстваАннотация
Уравнение Шредингера решается путем применения метода функционального анализа Никифорова-Уварова по Хюльтенус учетом экранированного потенциалаКратцера. Приближение Грина-Олдрича используется для определения выражений в замкнутой форме для уравнения энергии и волновой функции. Теорема Хеллмана-Фейнмана была использована для расчета энергетических спектров и математических ожиданий различных квантовых состояний двухатомных молекул (DM) HCl и LiH. Впоследствии использовано уравнение энергии, которое ранее было выведено для расчета статистической суммы, что, в свою очередь, позволило нам определить термодинамические свойства, связанные с двухатомными молекулами. Статистическая сумма для двухатомных молекул и LiH рассчитана при различных температурах. Результаты показывают, что статистическая сумма двух двухатомных молекул растет с повышением температуры. Полученные результаты согласуются с результатами, описанными в литературе.
Библиографические ссылки
Inyang E.P., Ayedun F., Ibanga E.A., Lawal K.M., Okon I. B., William E.S., Ekwevugbe O., Onate C.A., Antia A. D., Obisung E. O. Analytical Solutions of the N-Dimensional Schrödinger equation with modified screened Kratzer plus Inversely Quadratic Yukawa potential and Thermodynamic Properties of selected Diatomic Molecules. Results in Physics, 2022, Vol.43, 106075. https://doi.org/10.1016/j.rinp.2022.106075
Edet C.O., Mahmoud S., Inyang E.P., Ali N., Aljunid A., Endut R., IkotA.N., Asjad M. Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni-Shukla Potential Using the Asymptoptic Iteration Method. Mathematics.2022, Vol.10, pp. 2812-2824. https://doi.org/10.3390/math10152824
Inyang E.P., Obisung E.O., Iwuji P.C., Ntibi J.E., Amajama J., William E.S. Masses and thermal properties of a charmonium and Bottomonium mesons. Recent Advances in Applications of Potential Models, 2022, Vol.4, pp.875-884. https://doi.org/10.46481/jnsps.2022.884
Bayrak O., Kocak G., Boztosun I. Any l-state solutions of the Hulth´en potential by the asymptotic iteration method. Journal of Physics A, 2006, Vol.39, pp.11510-11521. https://doi.org/10.1088/0305-4470/39/37/012
Oluwadere O. J., Oyewumi K. J. Energy spectra and the expectation values of diatomic molecules confined by the shifted Deng-Fan potential. European Physical Journal plus, 2018, Vol.133, pp.410-422. https://doi.org/10.1140/epjp/i2018-12210-0
Ibekwe E.E., Okorie U.S., Emah J.B., Inyang E.P., Ekong S.A. Mass spectrum of heavy quarkonium for screened Kratzer potential (SKP) using series expansion method. European Physical Journal Plus, 2021, Vol.87, pp.1-11. https://doi.org/10.1140/epjp/s13360-021-01090-y
Inyang E.P., Inyang E.P., Ntibi J. E., Ibekwe E. E., William E. S. Approximate solutions of D-dimensional Klein-Gordon equation with Yukawa potential via Nikiforov-Uvarov method. Indian Journal of Physics, 2021, Vol.95, pp.2733-2739. https://doi.org/10.1007/s12648-020-01933-x
Omugbe E., Osafile O.E., Inyang E.P., Jahanshir A. Bound state solutions of the hyper-radial Klein-Gordon equation under the Deng-Fan potential by WKB and SWKB methods. Physica Scripta, 2021, Vol. 96, pp. 125408. https://doi.org/10.1088/1402-4896/ac38d4
Omugbe E., Osafile O.E., Okon I.B., Inyang E.P., William E.S., Jahanshir A. Any L-state energy of the spinless Salpeter equation under the Cornell potential by the WKB Approximation method: An Application to mass spectra of mesons. Few-Body Systems, 2022,Vol. 63, pp 1-7. https://doi.org/10.1007/s00601-021-01705-1
Inyang E.P., William E.S., Omugbe E., Inyang E.P., Ibanga E.A., Ayedun F., Akpan I.O., Ntibi J.E. Application of Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method. Revista Mexicana de Fisica. 2022, Vol. 68, pp.1-14. https://doi.org/10.31349/revmexfis.68.020401
Ciftci H., Kisoglu H.F. Nonrelativistic-Arbitrary l-states of quarkonium through Asymptotic Iteration method. Advances in High Energy Physics, 2018, 4549705. https://doi.org/10.1155/2018/4549705
Ikot A.N., Okorie U.S., Amadi P.O., Edet C.O., Rampho G.J., Sever R. The Nikiforov-Uvarov –Functional Analysis (NUFA) Method: A new approach for solving exponential – Type potentials. Few-Body System, 2021, Vol.62, pp.1-9. https://doi.org/10.1007/s00601-021-021-01593-5
Ibekwe E.E., Emah J.B., Inyang E.P. Akpan A. O. MASS Spectrum of Heavy Quarkonium for Combined Potentials (Modified Kratzer Plus Screened Coulomb Potential). Iranian Journal of Science and Technology, 2022, Vol.46, pp.1741-1748. https://doi.org/10.1007/s40995-022-01377-4
Inyang E.P., Inyang E.P., Ntibi J.E., William E.S. Analytical solutions of Schrodinger equation with Kratzer- screened Coulomb potential for a Quarkonium system. Bulletin of Pure and Applied Sciences, 2021, Vol.40, pp.1-12. https://doi.org/10.5958/2320-3218.2021.0002.6
Inyang E.P., Inyang E.P., William E.S., Ntibi J.E., Ibanga E.A. Bound State Solutions of the Schrödinger equation with Frost-Musulin potential using the Nikiforov-Uvarov-Functional Analysis (NUFA) method. Bulgarian Journal of Physics, 2022, Vol.20, pp. 1-11. https://doi.org/10.55318/bgjp.2022.49.4.329
William E. S., Inyang E. P., Thompson E. A. Arbitrary -solutions of the Schrödinger equation interacting with Hulthén-Hellmann potential model. Revista Mexicana Fisica, 2020, Vol. 66, pp.730-741. https://doi.org/10.31349/RevMexFis.66.730.
Okoi P.O., Edet C.O., Magu T.O. Inyang E.P. Eigensolution and Expectation values of the Hulthén and Generalized Inverse Quadratic Yukawa potential. Jordan Journal of Physics, 2022, 15, pp.137-148. https://doi.org/10.47011/15.2.4
Inyang E.P., Obisung E.O., Amajama J., Bassey D.E., William E.S., Okon I.B. The Effect of Topological Defect on The Mass Spectra of Heavy and Heavy-Light Quarkonia. Eurasian Physical Technical Journal, 2022, Vol. 9, 4(42), pp. 78 – 87. https://doi.org/10.31489/2022No4/78-87
Ikot A.N., Obagboye L.F., Okorie U.S., Inyang E.P., Amadi P.O., Abdel-Aty A. Solutions of Schrodinger equation with generalized Cornell potential (GCP) and its applications to diatomic molecular systems in D-dimensions using Extended Nikiforov–Uvarov (ENU) formalism. The European Physical Journal Plus, 2022, Vol.137, pp.1370 https://doi.org/10.1140/epjp/s13360-022-03590-x
William E.S., Inyang E.P., Akpan I.O., Obu J.A., Nwachukwu A.N., Inyang E.P. Ro-vibrational energies and expectation values of selected diatomic molecules via Varshni plus modified Kratzer potential model. Indian Journal of Physics, 2022, Vol.96,pp.3461-3476. https://doi.org/10.1007/s12648-0222-02308-0
Inyang E.P., William E.S., Obu J.O., Ita B. I., Inyang E.P., Akpan I.O. Energy spectra and expectation values of selected diatomic molecules through the solutions of Klein-Gordon equation with Eckart-Hellmann potential model. Molecular Physics, 2021, Vol.119, pp. e1956615 https://doi.org/10.1080/00268976.2021.1956615
Obogo U.P., Ubi O.E., Edet C.O., Ikot, A.N. Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential. Ecletica Quimica Journal, 2021, Vol.46, pp.63-73. https://doi.org/10.26850/1678-4618eqj.v46.4.2021.p60-73
Edet C.O., Ikot A.N., Superstatistics of Diatomic molecules with the shifted Deng-Fan potential model. Biointerface Research in Applied Chemistry. 2022, Vol.12, pp.4128-4139. https://doi.org/10.33263/BRIAC123.41264139
Edet C.O., Okorie U.S., Osobonye G., Ikot A.N., Rampho G.J., Sever R. Thermal properties of Deng-Fan- Eckart potential model using Poisson summation approach. Journal Mathematical Chemistry, 2020, Vol.10, pp.12-25. https://doi.org/10.1007/s10910-020-01107-4
Inyang E.P., William E.S., Obu J.O Eigensolutions of the N-dimensional Schro¨dinger equation interacting with Varshni-Hulthen potential model. Revista Mexicana Fisica, 2021, Vol. 67, pp. 193-205. https://doi.org/10.31349/RevMexFis.67.193.
Hassanabadi H., Ghominejad M., Zarrinkamar S., The Yukawa potential in semi relativistic formulation via supersymmetry quantum mechanics. Chinese Physics B, 2013, Vol.22, pp.060303. https://doi.org/10.1088/1674-1056/22/6/060303
Okon I.B, Omugbe E., Antia A.D., Onate C.A., Akpabio L.E., Osafile O.E. Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential. Scientific Reports, 2021, Vol. 11, pp.9- 21. https://doi.org/10.1038/s41598-020-77756-x
Ikot A.N., Okorie U.S., Sever R., Rampho G.J. Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential. European Physical Journal Plus, 2019, Vol. 134, pp 386. https://doi.org/10.1140/epjp/i2019-12783-x
Inyang E.P., Obisung E.O. The study of electronic states of NI and ScI molecules with screened Kratzer Potential. East European Journal of Physics, 2022, Vol. 3, pp.32-38. https://doi.org/10.26565/2312-4334-2022-3-04
Ikot A.N., Edet C.O., Amadi P.O., Okorie U.S., Rampho G.J., Abdullah H.Y. Thermodynamic properties of Aharanov-Bohm (AB) and magnetic fields with screened Kratzer potential. European Physical Journal D, 2020, Vol.74, pp.1-13. https://doi.org/10.1140/epjd/e2020-10084-9
Inyang E.P., Inyang E.P., Akpan I.O., Ntibi J.E., William E.S. Masses and thermodynamic properties of a Quarkonium system. Canadian Journal Physics, 2021, Vol. 99, pp.982-990. https://doi.org/10.1139/cjp-2020-0578
Tezcan C., Sever R. A general approach for the exact solution of the Schrodinger equation. International Journal of Theoretical Physics, 2009, Vol. 48, pp.328-337. https://doi.org/10.1007/s10773-008-9806-y
Greene R.L., Aldrich C. Variational wave functions for a screened Coulomb potential. Physical Review A., 1976, Vol. 14, pp. 2363-2374. https://doi.org/10.1103/PhysRevA.14.2363
Servatkhah M., Khordad R., Ghanbari A. Accurate prediction of thermodynamic functions of H2 and LiH using theoretical Calculations. International Journal of Thermophysics, 2020, Vol. 41, pp.30-37. https://doi.org/10.1009/s10775-020-2616-0