Numerical Solution of Radioactive Core Decay Activity Rate of Actinium Series Using Matrix Algebra Method

Authors

Anita Puji Pratiwi , Trapsilo Prihandono , Sri Handono Budi Prastowo

DOI:

10.29303/jppipa.v7i3.716

Published:

2021-07-07

Issue:

Vol. 7 No. 3 (2021): July

Keywords:

Actinium 235 Series, Chain Decay, Decay Activity, Matrical Algebra Method

Research Articles

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How to Cite

Pratiwi, A. P., Prihandono, T., & Prastowo, S. H. B. (2021). Numerical Solution of Radioactive Core Decay Activity Rate of Actinium Series Using Matrix Algebra Method. Jurnal Penelitian Pendidikan IPA, 7(3), 395–400. https://doi.org/10.29303/jppipa.v7i3.716
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Abstract

The Actinium 235 series is one of the radioactive series which is widely used as a raw material for reactors and nuclear activities. The existence of this series is found in several countries such as West USA, Canada, Australia, South Africa, Russia, and Zaire. The purpose of this study was to determine the activity value and the number of radioactive nucleus decay atoms on the actinium 235 rendered in a very long decay time of 4.3 x 109 years. The decay count in this study uses an algebraic matrix method to simplify the chain decay solution, which generally uses the concept of differential equations. The solution using this method can be computationally simulated using the Matlab program. This study indicates that the value of the decay activity experienced by each element in this series is the same, which is equal to 2,636 x 1011 Bq. This condition causes the actinium 235 series to experience secular equilibrium because the half-life of the parent nuclide is greater than the nuclide derivatives. The decay activity of the radioactive nucleus under the actinium 235 series is strongly influenced by the half-life of the nuclides, the decay constants, and the number of atoms after decay

References

Alatas, Z., Hidayati, S., Akhadi, M., Purba, M., Purwadi, D., Ariyanto, S., Winarno, H., Rismiyanto, R., Sofyatiningrum, E., Hendriyanto, H., Widyastono, H., & Syahri, S. (2015). Buku Pintar Nuklir. Serpong: Badan Tenaga Nuklir Nasional. [Indonesian]

Cetnar, J. (2006). General solution of Bateman equations for nuclear transmutations. Annals of Nuclear Energy, 33(7), 640–645. https://doi.org/https://doi.org/10.1016/j.anucene.2006.02.004.

Levy, E. (2018). A matrix exponential approach to radioactive decay equations. American Journal of Physics, 86(12), 909–913. https://doi.org/10.1119/1.5064446).

Makmur, M., Prihatiningsih, W. R., & Yahya, M. N. (2019). Penilaian Dampak Bahaya Radiologis terhadap Radionuklida Natural di Pesisir Pulau Bengkalis. Jurnal Kesehatan Lingkungan Indonesia, 18(2), 113-120. https://doi.org/10.14710/jkli.18.2.113-120. [Indonesian]

Noviarty., Haryati, I., Nisa, S. (2017). Analisis Radionuklida Dalam Batuan Menggunakan Spektrometer Gamma. Jurnal Batan. 10(19). [Indonesian]

Pamungkas, J., Supriadi, B., & Handayani, R. (2015). Simulasi numerik massa peluruhan inti zat radioaktif unsur uranium-238 dengan metode aljabar matriks. Jurnal pembelajaran fisika, 4(2). Retrieved from https://jurnal.unej.ac.id/index.php/JPF/article/view/2164. [Indonesian]

Sofyan, H., & Akhadi, M. (2004). Radionuklida Primordial Untuk Penanggalan Geologi Dan Arkeologi. Buletin Alara, 6(2), 241824. [Indonesian]

Suparjo. (2014). Menentukan Waktu Paroh dan Konstanta Analogi Disintegrasi Radioaktif dengan Alat Peraga Pembelajaran Analogi Disintegrasi Radioaktif dari Botol Plastik. Jurnal Materi Dan Pembelajaran Fisika ( JMPF ), 4(1), 36–39. [Indonesian]

Yuan, D., & Kernan, W. (2007). Explicit solutions for exit-only radioactive decay chains. Journal of Applied Physics, 101(9), 94907. https://doi.org/10.1063/1.2715785.

Yushardi, Supriadi, B., Tresnowati, D. S., & Ridlo, Z. R. (2020). Numerical simulation of mass in core decay of radioactive substance Thorium-232 series. Journal of Physics: Conference Series, 1538, 12040. https://doi.org/10.1088/1742-6596/1538/1/012040

Author Biographies

Anita Puji Pratiwi, Department of Physics Education, University of Jember, Jember

Pendidikan Fisika Fakultas Keguruan dan Ilmu Pendidikan, Universitas Jember, S.Pd

Trapsilo Prihandono, Department of Physics Education, University of Jember, Jember

Sri Handono Budi Prastowo, Department of Physics Education, University of Jember, Jember

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