Probability of He+ Ion at Quantum Number 3 ≤ n ≤ 4 in Momentum Space

Authors

Bambang Supriadi , Sisilia Nur Hikmah Anggraeni , Merry Khanza Kusuma Wardhany , Fadia Arisma Iswardani , Nabila Ayu Rosyidah , Dwi Pangesti

DOI:

10.29303/jppipa.v10i5.6458

Published:

2024-05-31

Issue:

Vol. 10 No. 5 (2024): May

Keywords:

Helium atom, Probability, Radial waves

Research Articles

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Supriadi, B., Anggraeni, S. N. H., Wardhany, M. K. K., Iswardani, F. A., Rosyidah, N. A., & Pangesti, D. (2024). Probability of He+ Ion at Quantum Number 3 ≤ n ≤ 4 in Momentum Space. Jurnal Penelitian Pendidikan IPA, 10(5), 2545–2551. https://doi.org/10.29303/jppipa.v10i5.6458
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Abstract

Ions resulting from the ionization of helium atoms are known as helium ions. Atom of Helium The probability distribution of the particle locations and velocities inside a helium atom is referred to as probability. Using theoretical study methods, the goal of this research is to find the probability of an electron's position in a helium atom at the quantum number 3 ≤ n ≤ 4. This type of research is non-experimental research by developing previously existing theories. This type of research is non-experimental research by transforming the radial wave function of hydrogenic atoms in position space into a radial wave function in momentum space using the Fourier transformation, then including a number of Gegenbauer functions and using the probability equation of finding an electron in a Helium ion in momentum space. The results of this research provide information regarding the position and probability of the existence of electrons in the helium atom. The probability value for the Helium ion is obtained using the equation P(p) =   which is used to indicate the probability of finding an electron in a helium atom is directly proportional to the principal quantum number (n) and the value of the electron's momentum. The larger the electron momentum interval, the greater the probability.

References

Al Bawani, A., Supriadi, B., Syahdilla, M., Benani, N. B., & Zuhri, C. (2023). The Expectation Value of Electron Momentum of Li2+ ion on Principal Quantum Number n ≤ 3 in Momentum Space. Jurnal Pendidikan Fisika Dan Keilmuan, 1–7. https://doi.org/10.25273/jpfk.v9i1.16416

Alimah, S., & Sriyono, S. (2017). Kajian Sistem Pemurnian Helium Reaktor HTGR Berdaya Kecil. Jurnal Pengembangan Energi Nuklir, 18(2), 123. https://doi.org/10.17146/jpen.2016.18.2.3230

Berganza, C. J., & Zhang, J. H. (2013). The Role of Helium Gas in Medicine. Med Gas Res, 3(1), 18. https://doi.org/10.1186/posn.9912

Bransden, B., & Joachain, C. J. (1995). Fisika dari Atom dan Molekul. New York: John Wiley & Sons, Inc.

Dai, D., Ismail, M. E. H., & Wang, J. (2015). Asymptotics for Laguerre polynomials with large order and parameters. Journal of Approximation Theory, 193, 4–19. https://doi.org/10.1016/j.jat.2014.03.009

Hakim, L., & Nawir, M. (2016). Analisis Persamaan Schodinger Dimensi-D Bagian radial untuk Potensial Eckart Pus manning Rosen sebagai Bahan Pembelajaran Fisika Kuantum. Jurnal Pendidikan Teknologi dan Kejuruan Balanga, Vol. 4 No.(1), Hal. 30–39. Retrieved from https://e-journal.upr.ac.id/index.php/JBL/article/view/1391/1203

Kharismawati, I., & Supriadi, B. (2021). Probabilitas Partikel dalam Kotak Tiga Dimensi pada Bilangan Kuantum n≤ 5. Jurnal Pembelajaran Fisika, 1(1), 58–63. Retrieved from https://jurnal.unej.ac.id/index.php/JPF/article/view/23136

Lutfin, N. A., & A, F. (2020). Metoda Hartree Fock Untuk Menentukan Energi Total Inti Helium-4. Phydagogic Jurnal Fisika Dan Pembelajarannya, 3(1), 1–7. https://doi.org/10.31605/phy.v3i1.954

Marlina, E., & Rahayu, D. (2022). Desain Pembelajaran Materi Fungsi Gamma untuk Mengoptimalkan Kemampuan Berpikir Mahasiswa pada Mata Kuliah Fungsi Khusus. Jurnal Riset Matematika Dan Sains Terapan, 1, 32–40. Retrieved from https://ejournal.unibba.ac.id/index.php/jrmst/article/view/787

Ningrum, T. W., Supriadi, B., Masitoh, N. N., Silvira, L., & Anggraeni, N. P. (2023). The Wave Function of The Tritium Atom in The Representation of Momentum Space Using The Scrodinger Equation on Quantum Numbers. Jurnal Pendidikan Fisika Dan Keilmuan, 9(1), 23. https://doi.org/10.25273/jpfk.v9i1.16478

Nurroniah, Z., Supriadi, B., Cahyani, V. D., Salsabila, N., & Imaniyah, K. (2023). Radial Wave Function of Helium Ion in Momentum Space at N≤ 4. Jurnal Pendidikan Fisika Dan Keilmuan (JPFK), 9(1), 45–52. https://doi.org/10.25273/jpfk.v9i1.16523

Pandu, G., Pingak, R. K., Zicko Johannes, A., & Seba Ngara, Z. (2021). A Study on Radial Properties of Hydrogenic Ions using Laguerre Polynomials. Buletin Fisika, 23(2), 78. https://doi.org/10.24843/BF.2022.v23.i02.p01

Plotnitsky, A. (2020). Reality, Indeterminacy, Probability, and Information in Quantum Theory. Entropy, 22(7), 747. https://doi.org/10.3390/e22070747

Rillo, C., Gabal, M., Lozano, M. P., Sesé, J., Spagna, S., Diederichs, J., Sager, R., Chialvo, C., Terry, J., Rayner, G., Warburton, R., & Reineman, R. (2015). Enhancement of the Liquefaction Rate in Small-Scale Helium Liquefiers Working Near and Above the Critical Point. Physical Review Applied, 3(5), 051001. https://doi.org/10.1103/PhysRevApplied.3.051001

Saputro, W. D. (2019). Rancang Bangun Alat Sterilisasi Buah Manggis Berbasis Cold Atmospheric Plasma (CAP) 2019. Jurnal Ilmiah Teknologi Pertanian Agrotechno, 3(2), 313–318. https://doi.org/10.24843/JITPA.2018.v03.i02.p0

Setiyowati, R., & Riestiana, V. A. (2021). Simulasi Numerik Persamaan Gelombang Air Dangkal 1D dengan Topografi Tidak Datar Menggunakan Metode Beda Hingga. Limits: Journal of Mathematics and Its Applications, 18(2), 95. https://doi.org/10.12962/limits.v18i2.6170

Supriadi, B., Anggraeni, F. K. A., Faridah, N., & Jannah, E. M. (2022). Fisika Kuantum. Jember: UPT Penerbitan Universitas Jember.

Supriadi, B., Lorensia, S. L., Shahira, F., Prabandari, A. M., & Putri, A. A. W. (2023). Probability of Deuterium Atom Electrons in Momentum Space at Quantum Numbers n ≤ 3. Aceh International Journal of Science and Technology, 12(2), 239–245. https://doi.org/10.13170/aijst.12.2.32226

Supriadi, B., Mardhiana, H., Kristiawan, W. I., Kamalia, D., & Sari, I. K. (2023). Expected Value of Helium Ion Electron Momentum in Momentum Space with Primary Quantum Numbers n≤3. Jurnal Penelitian Pendidikan IPA, 9(10), 8467–8472. https://doi.org/10.29303/jppipa.v9i10.3861

Supriadi, B., Sari, N. R., Rahmawati, E., Mardhiana, H., & Firdausyiah, W. (2023). Nilai Ekspektasi Momentum Elektron Atom Tritium dalam Ruang Momentum dengan Bilangan Kuantum Utama n ≤ 3. Navigatatom Physics: Journal of Physics Educatatom, 5(1), 60–65. https://doi.org/10.30998/npjpe.v5i1.1931

Sutopo, S. (2005). Pengantar Fisika Kuantum. Malang: Jurusan Fisika FMIPA UM.

Suyanta, S. (2019). Buku Ajar Kimia Unsur. Yogyakarta: UGM Press.

Syahrial, A., Sarjan, M., Rokhmat, J., Arizona, K., Sucilestari, R., Syahidi, K., Syamsuddin, S., & Mertha, I. G. (2022). Kebermaknaan Fisika Kuantum Sebagai Solusi Membangun Karakter Peserta Didik. Jurnal Ilmiah Profesi Pendidikan, 7(2b), 672–679. https://doi.org/10.29303/jipp.v7i2b.555

Utami, F., Supriadi, B., & Lesmono, A. D. (2019). Probabilitas Posisi Elektron dalam Atom Tritium pada Bilangan Kuantum n ≤ 3. Prosiding Seminar Nasional Pendidikan Fisika, 4(1), 241–245. https://doi.org/1028204/fkipe.v04ile.7497

Yanuarief, C., & Al-Faruq, A. (2019). Solusi Metode Numerik Beda Hingga Pada Visualisasi Fungsi Gelombang Persamaan Schrodinger Potensial Non Sentral Coulombic Rosen Morse. Sunan Kalijaga Journal of Physics, 1(1), 28–36. Retrieved from http://ejournal.uin-suka.ac.id/saintek/physics/article/view/1631

Author Biographies

Bambang Supriadi, University of Jember

Sisilia Nur Hikmah Anggraeni, Universitas Jember

Merry Khanza Kusuma Wardhany, University of Jember

Fadia Arisma Iswardani, University of Jember

Nabila Ayu Rosyidah, University of Jember

Dwi Pangesti, University of Jember

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Copyright (c) 2024 Bambang Supriadi, Sisilia Nur Hikmah Anggraeni, Merry Khanza Kusuma Wardhany, Fadia Arisma Iswardani, Nabila Ayu Rosyidah, Dwi Pangesti

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