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Quantitative Analysis of Vacuum Induction Melting by Laser-induced Breakdown Spectroscopy
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Approximate Voigt function formula for laser-induced breakdown spectroscopy fitting.

Siying Chen, Yiwen Jia, He Chen

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    This summary is machine-generated.

    A new approximate Voigt function improves spectral fitting for laser-induced breakdown spectroscopy (LIBS). This faster, more accurate method enhances quantitative analysis of LIBS data, crucial for material characterization.

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    Area of Science:

    • Spectroscopy
    • Analytical Chemistry
    • Computational Physics

    Background:

    • Quantitative analysis in laser-induced breakdown spectroscopy (LIBS) relies heavily on accurate spectral line fitting.
    • The Voigt function is a standard model for fitting spectral lines in LIBS, but its computational complexity can limit analysis speed.
    • Existing fitting methods may face challenges in balancing accuracy and computational efficiency.

    Purpose of the Study:

    • To develop a novel, approximate Voigt function formula for enhanced spectral fitting in LIBS.
    • To improve the calculation speed and fitting accuracy of Voigt functions for LIBS data processing.
    • To validate the efficacy of the new formula against established methods.

    Main Methods:

    • A new approximate Voigt function formula was derived by modifying the classic Lorentz-Gauss linear combination with an added summation term involving a convolution operation.
    • The accuracy of the proposed formula was evaluated, achieving an overall accuracy of 0.31% and a full width at half-maximum internal accuracy of 0.25% for a 1:1 Lorentzian-to-Gaussian linewidth ratio.
    • The formula was applied to fit spectral lines of calcium and potassium in LIBS data.

    Main Results:

    • The new approximate Voigt function demonstrated the ability to fit at least seven data points effectively.
    • Comparative analysis showed the new formula offers superior fitting speed compared to the complex plane partition method and the classic linear combination formula.
    • The proposed method achieved better fitting accuracy for LIBS spectral lines of Ca and K.

    Conclusions:

    • The developed approximate Voigt function provides a computationally efficient and accurate alternative for spectral fitting in LIBS.
    • This advancement can significantly enhance the speed and reliability of quantitative analysis in LIBS applications.
    • The new formula represents a valuable tool for researchers working with LIBS data, particularly where rapid analysis is required.