The dependence of practical width on temperature

Campos, Tânia Maria Mendonça; Martinez, Aquilino Senra

doi:10.1016/0306-4549(87)90045-4

Cited by 23 publications

(9 citation statements)

References 3 publications

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“…The solution of Eq. (10) was already obtained successfully in another paper 4) that used the power series expansion method with even exponents. This kind of expansion is successful because the equation does not have singular points and the non-homogeneous part is quite simple.…”

Section: Introductionmentioning

confidence: 86%

The Derivation of the Doppler Broadening Function using Frobenius Method

Palma

Martinez

Silva

2006

Journal of Nuclear Science and Technology

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An analytical approximation of the Doppler broadening function ð; xÞ is proposed. This approximation is based on the solution of the differential equation for ð; xÞ using the methods of Frobenius and parameters variation. The analytical form derived for ð; xÞ in terms of elementary functions is very simple and precise. It can be useful for applications related to the treatment of nuclear resonances, mainly for calculations of multigroup parameters and resonances self-protection factors, the latter being used to correct microscopic cross section measurements by the activation technique.

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Section: Introductionmentioning

confidence: 86%

The Derivation of the Doppler Broadening Function using Frobenius Method

Palma

Martinez

Silva

2006

Journal of Nuclear Science and Technology

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“…The core idea of the method proposed by (Campos and Martinez, 1987) is to transform the Doppler broadening function from its integral form into a differential partial equation subjected to the initial conditions. Differentiating equation (30) in relation to x one obtains:…”

Section: Methods Of Campos and Martinezmentioning

confidence: 99%

“…The representation in series for the Doppler broadening function, as given by equation 47, is valid only for | x.ξ | < 6. For the cases where | x.ξ | > 6, (Campos and Martinez, 1987) used the asymptotic form as given by equation 35, as well as proposed by Beynon and Grant.…”

Section: Methods Of Campos and Martinezmentioning

confidence: 99%

New Methods in Doppler Broadening Function Calculation

Palma¹,

Gonçalves²,

Martinez³

et al. 2013

Current Research in Nuclear Reactor Technology in Brazil and Worldwide

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“…According to the authors, this second method was developed as an alternative to the first due to the excessive memory space spent [ 30 ]. Considering that this justification no longer represents a concern for most researchers due to the advancement of technology, the present work will only present the first method, which is more widespread in the literature [ 3 , 22 , 23 , 25 , 28 , 31 ].…”

Section: Microscopic Cross Sections and The Doppler Broadening Functionmentioning

confidence: 99%

The Scientific Contribution of the Kaniadakis Entropy to Nuclear Reactor Physics: A Brief Review

Martinez

Abreu

2023

Entropy

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In nuclear reactors, tracking the loss and production of neutrons is crucial for the safe operation of such devices. In this regard, the microscopic cross section with the Doppler broadening function is a way to represent the thermal agitation movement in a reactor core. This function usually considers the Maxwell–Boltzmann statistics for the velocity distribution. However, this distribution cannot be applied on every occasion, i.e., in conditions outside the thermal equilibrium. In order to overcome this potential limitation, Kaniadakis entropy has been used over the last seven years to generate generalised nuclear data. This short review article summarises what has been conducted so far and what has to be conducted yet.

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The dependence of practical width on temperature

Cited by 23 publications

References 3 publications

The Derivation of the Doppler Broadening Function using Frobenius Method

The Derivation of the Doppler Broadening Function using Frobenius Method

New Methods in Doppler Broadening Function Calculation

The Scientific Contribution of the Kaniadakis Entropy to Nuclear Reactor Physics: A Brief Review

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