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<p>This paper presents the gamma scattering technique to determine substance' component concentrations. The experimental and simulated R/C ratios of binary oxide samples (Fe<sub>2</sub>O<sub>3</sub> and SiO<sub>2</sub>) were measured. The concentration ​​of each element were interpolated, with a bias relative less than 5% for the elements in the reference samples. The elements' experimental and theoretical Rayleigh-Compton ratio values had a robust relationship in the equation <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10967_2025_10130_Article_IEq1.gif" Format="GIF" Height="25" Rendition="HTML" Resolution="72" Type="Linedraw" Width="149" /> </InlineMediaObject> <EquationSource Format="TEX">\(R_{R/C}^{\exp } = 1.03 \times R_{R/C}^{{{\text{theo}}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>R</mi> <mo stretchy="false">/</mo> <mi>C</mi> </mrow> <mo>exp</mo> </msubsup> <mo>=</mo> <mn>1.03</mn> <mo>×</mo> <msubsup> <mi>R</mi> <mrow> <mi>R</mi> <mo stretchy="false">/</mo> <mi>C</mi> </mrow> <mtext>theo</mtext> </msubsup> </mrow> </math></EquationSource> </InlineEquation> (n = 11; r = 0.99; p-value &lt; 0.01). The Z<sub>eff</sub> interpolation results and the calculation results from the theoretical formulas have good agreement with an average difference of 5%.</p>

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Combination of experimental and simulation methods for determination of effective atomic number by Rayleigh-Compton scattering technique

  • 期刊论文

  • 发表日期：

    2025年5月6日

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  • Le Hoang Minh,
  • Van Thi Thu Trang,
  • Tran Thien Thanh

摘要

This paper presents the gamma scattering technique to determine substance' component concentrations. The experimental and simulated R/C ratios of binary oxide samples (Fe2O3 and SiO2) were measured. The concentration ​​of each element were interpolated, with a bias relative less than 5% for the elements in the reference samples. The elements' experimental and theoretical Rayleigh-Compton ratio values had a robust relationship in the equation \(R_{R/C}^{\exp } = 1.03 \times R_{R/C}^{{{\text{theo}}}}\) R R / C exp = 1.03 × R R / C theo (n = 11; r = 0.99; p-value < 0.01). The Zeff interpolation results and the calculation results from the theoretical formulas have good agreement with an average difference of 5%.