Representation mathematique des "photopeaks" de spectres gamma d'un scintillateur NaI

E. Musyck

doi:10.1016/0029-554X(67)90022-5

Representation mathematique des "photopeaks" de spectres gamma d'un scintillateur NaI

E. Musyck

Research output › peer-review

Abstract

Having established a mathematical formula representing the modified Gaussian curve of the photopeaks, we intend, by means of the method of least squares, to determine the parameter variations occurring in this formula as a function of gamma radiation in interaction with the NaI scintillator. The introduction of Hermite functions in the mathematical representation causes a fast convergence of the calculations due to the orthogonal properties of these functions. The calculations are done by iterations following the Newton-Raphson method.

Original language	English
Pages (from-to)	320-324
Number of pages	5
Journal	Nuclear Instruments and Methods
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/0029-554X(67)90022-5
State	Published - 3 May 1967

ASJC Scopus subject areas

General Medicine

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10.1016/0029-554X(67)90022-5

Cite this

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title = "Representation mathematique des {"}photopeaks{"} de spectres gamma d'un scintillateur NaI",

abstract = "Having established a mathematical formula representing the modified Gaussian curve of the photopeaks, we intend, by means of the method of least squares, to determine the parameter variations occurring in this formula as a function of gamma radiation in interaction with the NaI scintillator. The introduction of Hermite functions in the mathematical representation causes a fast convergence of the calculations due to the orthogonal properties of these functions. The calculations are done by iterations following the Newton-Raphson method.",

author = "E. Musyck",

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AU - Musyck, E.

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Y1 - 1967/5/3

N2 - Having established a mathematical formula representing the modified Gaussian curve of the photopeaks, we intend, by means of the method of least squares, to determine the parameter variations occurring in this formula as a function of gamma radiation in interaction with the NaI scintillator. The introduction of Hermite functions in the mathematical representation causes a fast convergence of the calculations due to the orthogonal properties of these functions. The calculations are done by iterations following the Newton-Raphson method.

AB - Having established a mathematical formula representing the modified Gaussian curve of the photopeaks, we intend, by means of the method of least squares, to determine the parameter variations occurring in this formula as a function of gamma radiation in interaction with the NaI scintillator. The introduction of Hermite functions in the mathematical representation causes a fast convergence of the calculations due to the orthogonal properties of these functions. The calculations are done by iterations following the Newton-Raphson method.

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U2 - 10.1016/0029-554X(67)90022-5

DO - 10.1016/0029-554X(67)90022-5

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