Kajian Sifat Radial Ion Hidrogenik Menggunakan Polinomial Laguerre
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https://doi.org/10.24843/BF.2022.v23.i02.p01
Abstrak
Telah dilakukan kajian awal mengenai sifat radial sistem hidrogenik menggunakan polinomial Laguerre. Tujuan dari kajian ini adalah mempelajari sifat radial dari ion hidrogenik yang ditunjukkan oleh besaran rapat probabilitas radial, jarak radial paling mungkin dan jarak rata-rata elektron dari inti ion hidrogenik. Berdasarkan hasil penelitian untuk Z=1 sampai Z=10 dengan bilangan kuantum utama (n)=1 sampai 5 menghasilkan 150 bentuk fungsi radial, 150 rapat probabilitas radial, 150 nilai jarak radial paling mungkin dan 150 nilai jarak rata-rata elektron. Jarak radial paling mungkin dari inti dibandingkan dengan model Bohr dan menunjukkan hasil yang sama dengan model Bohr.
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Referensi
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[17] B. Supriadi, Z. R. Ridlo, F. Fuadah, M. A. Halim, M. Maulana and Y. R. Santoso, Solutions of spherical equation in 3 dimensions for hydrogen atom with quantum numbers 4
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[21] A. M. Juwono, 2017, Pendahuluan Fisika Kuantum. Malang: UB Press
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[23] R. A. Sani, and M. Kadri, 2017, Fisika kuantum. Jakarta: PT. Bumi Aksara.
[24] K. W. Ford, Niels Bohr’s first 1913 paper: still relevant, still exciting, still puzzling, The Physics Teacher, Vol. 56, 2018, pp. 500-502.
[2] R. K. Pingak and U. A. Deta, A simple numerical matrix method for accurate triplet 1s2s-3S1 energy levels of some light helium-like ions, Journal of Physics: Conference Series, vol. 1491, no.1, 2020, pp. 012035.
[3] A. Kartono, T. Winata and Sukirno, Applications of non-orthogonal Laguerre function basis in helium atom, Applied Mathematics and Computation, vol. 163, no.2, 2005, pp. 879-893.
[4] E. Boimau, R. K. Pingak and Bernandus, Penentuan energi keadaan dasar sistem atom helium muonik eksotis Heμμ menggunakan prinsip variasi, Jurnal Fisika: Fisika Sains dan Aplikasinya, vol. 2, no.1, 2017, pp:1-9.
[5] S. Purwaningsih, P. Nurwantoro and A. Hermanto, Calculation of ground state energy of helium using Hylleraas trial function expansion, International Journal of Engineering Research and Technology, vol.12, no.8, 2019, pp:1178-1182.
[6] R. K. Pingak, R. Kolmate and Bernandus, A simple matrix approach to determination of the helium atom energies, Jurnal Penelitian Fisika dan Aplikasinya, vol.9, no.1, 2019, pp. 10-21.
[7] S. Purwaningsih, Ground state energy of the helium using variational methods on trial wavefunctions, International Journal of Sciences: Basic and Applied Research, Vol. 54, No.4, 2020, pp:233-241.
[8] R. K. Pingak, A. Ahab, and U. A. Deta, Ground state energies of Helium-like ions using a simple parameter-free matrix method, Indonesian Journal of Chemistry, vol.21, no.4, pp.1003-1015.
[9] R. K. Pingak and A. Z. Johannes, Penentuan tingkat-tingkat energi vibrasi molekul hidrogen pada keadaan elektronik dasar menggunakan potensial Morse, Wahana Fisika, Vol. 5, No.1, 2020, pp:1-9.
[10] R. K. Pingak, A. Z. Johannes, F. Nitti and M. Z. Ndii, A theoretical study on vibrational energies of molecular hydrogen and its isotope using a semi-classical approximation, Indonesian Journal of Chemistry, Vol. 23, No.1, 2021, pp:725-739.
[11] Sutisna, Analytical solution of Schrodinger equation of the Harmonic oscillator system with position dependent mass using transformation method, Jurnal Ilmu Dasar, Vol. 10, No.2, 2009, pp: 114-120.
[12] P. Pandiangan, Solusi persamaan Schrodinger osilator harmonik dalam ruang momentum, Jurnal Matematika Sains dan Teknologi, Vol. 6, No. 1, 2005, pp:20-30.
[13] C. S. U. Luba, A. Warsito and R. K. Pingak, Kajian komputasi numerik energi elektron dalam sumur potensial berhingga, Jurnal Fisika: Fisika Sains dan Aplikasinya, Vol. 6, No.1, 2021, pp:17-23.
[14] P. Pandiangan, S. Adi and A. Arkundato, Metode elemen hingga untuk penyelesaian persamaan Schrodinger atom hidrogenik, Jurnal Matematika Sains dan Teknologi, Vol. 7, No. 1, 2006, pp:11-23
[15] F. Fuadah, S. H. B. Prastowo and L. Nuraini, Solusi persamaan Schrodinger atom deuterium dengan bilangan kuantum n=4, FKIP e-proceeding, Vol.3, No.2, 2019, pp:142-147.
[16] B. Supriadi, S. H. B. Prastowo, S. Bahri, Z. R. Ridlo and T. Prihandono, The stark effect on the wave function of tritium in relativistic condition, Journal of Physics: Conference Series, Vol. 997, No. 1, 2018, pp:012045.
[17] B. Supriadi, Z. R. Ridlo, F. Fuadah, M. A. Halim, M. Maulana and Y. R. Santoso, Solutions of spherical equation in 3 dimensions for hydrogen atom with quantum numbers 4
[19] B. Supriadi, A. Harijanto, M. Maulana, Z. R. Ridlo, W. D. Wisesa and A. Nurdiniaya, The function of the radial wave of a hydrogen atom in the principal quantum numbers (n) 4 and 5, Journal of Physics: Conference Series, Vol. 1211, no.1, 2019, 012052.
[20] R. K. Pingak, 2015, Bahan Ajar Fisika Kuantum, Kupang: Universitas Nusa Cendana.
[21] A. M. Juwono, 2017, Pendahuluan Fisika Kuantum. Malang: UB Press
[22] A. Kohnle, A. Jackson, and M. Paetkau, The difference between a probability and a probability density, The Physics Teacher, Vol. 57, 2019, pp. 190-192.
[23] R. A. Sani, and M. Kadri, 2017, Fisika kuantum. Jakarta: PT. Bumi Aksara.
[24] K. W. Ford, Niels Bohr’s first 1913 paper: still relevant, still exciting, still puzzling, The Physics Teacher, Vol. 56, 2018, pp. 500-502.
Diterbitkan
2021-08-16
##submission.howToCite##
PANDU, Gerda et al.
Kajian Sifat Radial Ion Hidrogenik Menggunakan Polinomial Laguerre.
BULETIN FISIKA, [S.l.], v. 23, n. 2, p. 78-84, aug. 2021.
ISSN 2580-9733.
Tersedia pada: <http://103.29.196.112/index.php/buletinfisika/article/view/76048>. Tanggal Akses: 04 mar. 2026
doi: https://doi.org/10.24843/BF.2022.v23.i02.p01.
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