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All Journal Jurnal Fisika Unand Jurnal IPTEK Jurnal Ilmiah Universitas Batanghari Jambi Jurnal SOLMA Diglosia: Jurnal Kajian Bahasa, Sastra, dan Pengajarannya Martabe : Jurnal Pengabdian Kepada Masyarakat Studi Arab Community Development Journal: Jurnal Pengabdian Masyarakat Indonesian Journal of Counseling and Development Schrodinger : Jurnal Ilmiah Mahasiswa Pendidikan Fisika Darris: Jurnal Pendidikan Madrasah Ibtidaiyah Business Management Jurnal Polimesin Jurnal Akuntansi Hukum dan Edukasi J-CEKI Ethnography: Journal of Design, Social Sciences and Humanistic Studies
Jubaidah, Jubaidah
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Journal : Jurnal IPTEK

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Solving the Fermi equation for Modeling Nuclear Decay: Approaches, Assumptions, and Limitations in the Context of the Thomas-Dirac Distribution Siagian, Ruben Cornelius; Nasution, Budiman; Jubaidah, Jubaidah
Jurnal IPTEK Vol 27, No 2 (2023): December
Publisher : LPPM Institut Teknologi Adhi Tama Surabaya (ITATS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31284/j.iptek.2023.v27i2.4424

Abstract

This study explores a sophisticated probabilistic model for radioactive decay, emphasizing decay probability in small time intervals. Equation (1), with decay constant and time interval (dt), is central. Integration yields Equations (2), (3), and (4), describing total decay (N) over larger intervals (T). The Poisson distribution links to Equation (5), depicting decay events with average rate. In radioactive decay, the binomial distribution is relevant for independent nuclei (R). Equations (7) and (8) outline the probability of observing (N) decays, utilizing the binomial distribution and coefficient. Equation (9) simplifies via the Poisson distribution and factorial (n), notably eliminating (R-N). This reveals the efficiency of representing binomial distribution properties. The study extends to analyzing radiotracers in nuclear medicine through visualized data, revealing properties like half-life and decay constants on graphs. Graphical analysis identifies time's role in deviation from true values, offering insights into radiotracer reliability. This amalgamation of probabilistic methods and radiotracer analysis significantly contributes to understanding and applying radioactive decay concepts in diverse scientific and medical contexts.
Co-Authors Afriliani, Hesti Almarind, Marisa Amenobelia, Amenobelia Anysa, Ega Aryanta Sembiring, Robi Batumahadi, Batumahadi Binsar Panjaitan, Binsar Budiman Nasution Damanik, Marini Diansyah, Diansyah Diba, Adinda Farah Eka Daryanto, Eka Eswanto, Eswanto Fajar Apriani Fatmawati Fatmawati Firmansyah Nasution, Taufik G. Sibarani, Wendy. Ginting, Ladyna Velisa Giovan Panjaitan, Asido Gunawan, Safri Hardiansyah, M. HENRY ISKANDAR Hutajulu, Romantina Ifda Tanjung, Yul Irawan, Andi Wahyu Irfani, Vania Ayu Jarkani, Muhammad Juli Dwi Astuti, Anik Khairani, Farizka Khairunnisa, Adinda Dwi Khairunnisah, Noni Antika Listiyanto, Listiyanto Lisyanto . Lova, Dea Lumbantoruan, Sri Rezeki M Gultom, Septhya Meidiansyah, Fadli Melvi, Lisa Muhammad Yusuf Muhtadin Muhtadin Nirmalasari, Ridha Noor Hujjatusnaini Noor, Muhammad Arifin Nurdin Siregar Nurkhalisa, Siti Salma Pakpahan, Binsar R. Nurfazriah, Latifah Rahma, Ukik Aisya Ramadhan, Ahmad Ananda Ramadhan, Irham Ramadhan, Risca Ariska Rasenda, Rasenda Riana Puspita, Riana Rivaldo, Samuel Rosdiyanti, Evi Rugaya, Rugaya Saputri, Arum Dwi Selamat Riadi Siagian, Ruben Cornelius Siddik, M. Silalahi, Jihan Syifa Silalahi, Renata Agustina Simatupang, Christina Triwahyuni Sinaga, Karina Angely Sinaga, Maria Putriguna Soe'oed, Rahmat Sri Hayati, Sri Suhaesty, Yeye Suprapto Suprapto Surawardi Surawardi, Surawardi Suraya, Rizky Surya Dharma Syahputri, Nurlaily Syahra, Assyfa Tamba, Ester Maesya Thomas Thomas Ulina, Sri Yeni Megalina, Yeni Yolanda Yolanda, Yolanda Yopan Rahmad Aldori Yusuf Yusuf