Electron’s Position Expectation Values and Energy Spectrum of Lithium Ion (Li^(2+)) on Principal Quantum Number n≤3
DOI:
10.29303/jppipa.v8i1.840Published:
2022-01-16Downloads
Abstract
The purpose of this study is to determine the electron’s position expectation values and energy spectrum on the Li2+ ion on the principal quantum number n≤3. This research using literature study methods on quantum mechanics. The expectation values of the electron position and the energy spectrum of the Li2+ ion uses numerical calculations using the Matlab 2019a program. The steps in this research method include: preparation; theory development; simulation; validation of the results of theory development; results of theory development; discussion and conclusion. The results obtained in this study are the electron’s position expectation values and energy of the Lithium ion. The electron’s position expectation values indicates the presence of electrons that often appear around the x-axis by relying on the interval used. The larger the interval, the more constant the electron’s position expectation values will be and towards an almost constant value. From the analysis results, the expectation value varies in positions from  0,0001a0 to 0,1637a0. The electron energy spectrum of the Li2+ ion is inversely proportional to the square of the principal quantum number (n),E1= -122,4 eV ; E2= -30,6 eV ; E3= -13,6 eV
Keywords:
Lithium Ion Li^(2 ) Position Expectation EnergyReferences
Beiser. (1990). Konsep Fisika Modern. 4th ed. Jakarta: Erlangga.
Cresser, J. D. (2011). Quantum Physics Notes. Australia: Faculty of Science.
Grautreau, R. & Savin, W. (2005). Schaum’s Outline of Theory and Problem of Modern Physics. 2nd ed. New Jersey: The McGraw Hill Companies Inc.
Krane, K. (2012). Modern Physics 3rd. United State of America: John & Willey Sony.
Krebs, R. E. (2006). The History and Use of Our Earth’s Chemical Elements: A Reference Guide. United State of America: Greenwoods Press.
Linden, D. & Reddy, T.B. (2002). Handbook of Batteries. 3rd ed. United State of America: The McGraw-Hills Companies, Inc.
Mohammed, O.F., Jas, G.S., Lin, M.M., & Zewail, A.H. (2009). Primary Peptide Folding Dynamics Observed with Ultravast Temperature Jump, Angew. Chem. Int. Ed., 46: 5628-5632. https://doi.org/10.1002/anie.200900513
Prastowo, S. H. B., Supriadi, B., Bahri, S., & Ridlo, Z.R. (2018). The stark effect on the spectrum energy of Tritium in excited state with relativistic condition. Journal of Physics: Conference Series. 1008 012013: 1-8. http://dx.doi.org/10.1088/1742-6596/1008/1/012013
Singh, R.B. (2009). Introduction to Modern Physics Volume I. New Delhi: New Age International Publishers.
Sudiarta, I.W. (2019). Mekanika Kuantum. Mataram: CV. Garuda Ilmu.
Sugiyono, V. (2016). Mekanika Kuantum. Yogyakarta: Center for Academic Publishing Service.
Supriadi, B. (2019). Determination of energy levels, probabilities, and expectation values of particles in the three-dimensional box at quantum numbers n≤5. Journal of Physics: Conference Series. 211 012035: 1-11. http://dx.doi.org/10.1088/1742-6596/1211/1/012035
Syukri, S. (1999). Kimia Dasar 2. Bandung: ITB.
Yusron, M., Firdausi, K.S., & Sumariyah. (2007). Review Probabilitas Menemukan Elektron dengan Fungsi Gelombang Simetri dan Antisimetri Pada Molekul H_2^+. Jurnal Fisika. 10(1):7-12. Retrieved from http://ejournal.undip.ac.id/index.php/berkala_fisika/article/view/3070/2751
Wigayati, E.M., & Purawiardi, I. (2018). Sintesis Li_1,37 Mn_2 04 dengan Metode Solid State Reaction dan Hydrotermal. Jurnal Metalurgi. 33(2): 79-90. http://dx.doi.org/10.14203/metalurgi.v33i2.435
Wijayanto, M. P., Supriadi, B., & Handayani, R.D. (2016). Koreksi Order-2 Fungsi Gelombang dan Energi Ion Lithium Dengan Pendekatan Teori Gangguan. Prosiding Seminar Nasional Pendidikan Sains 2016. Universitas Negeri Surabaya: 803-812.
Zettili, N. (2009). Quantum Mechanics: Concepts and Application. 2nd ed. Great Britain: John Wiley and Sons, Ltd. Publication.
License
Copyright (c) 2022 Aulia Riski Pratikha
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with Jurnal Penelitian Pendidikan IPA, agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution 4.0 International License (CC-BY License). This license allows authors to use all articles, data sets, graphics, and appendices in data mining applications, search engines, web sites, blogs, and other platforms by providing an appropriate reference. The journal allows the author(s) to hold the copyright without restrictions and will retain publishing rights without restrictions.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in Jurnal Penelitian Pendidikan IPA.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
