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Analytical evaluation of isochoric and isobaric heat capacities for actinide dioxide nuclear fuels

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Abstract

The Einstein–Debye approximation was used with the help of Simpson’s 3/8th rule to develop a method for the temperature dependence of heat capacity at constant volume and constant pressure of actinide dioxide nuclear fuels. The Debye model approximates the acoustic modes of the lattice while the Einstein model approximates the optical modes. Based on Simpson’s 3/8th rule, a simple mathematical expression was used to calculate the isochoric and isobaric heat capacities of nuclear fuels for arbitrary temperature values. When compared to prior published studies of nuclear fuels, such as UO\({}_{2}\) and PuO\({}_{2}\), the dependability, efficiency and precision of the present method are satisfactory. The obtained results are consistent with the literature, demonstrating the validity of the method.

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Acknowledgements

IAA thanks CVR for constructing a computational program in the Python language.

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Authors and Affiliations

  1. Department of General Studies, Jubail Industrial College, P.O. Box 10099, Jubail Industrial City,  31961, Saudi Arabia

    Intikhab A Ansari & C V Rao

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  1. Intikhab A Ansari
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  2. C V Rao
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Correspondence to Intikhab A Ansari.

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Ansari, I.A., Rao, C.V. Analytical evaluation of isochoric and isobaric heat capacities for actinide dioxide nuclear fuels. Pramana - J Phys 97, 79 (2023). https://doi.org/10.1007/s12043-023-02557-6

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  • DOI: https://doi.org/10.1007/s12043-023-02557-6

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