The Monte Carlo—Library Least-Squares approach for energy-dispersive x-ray fluorescence analysis

作者: T. He , R.P. Gardner , K. Verghese

DOI: 10.1016/0969-8043(93)90089-S

关键词: Trace (linear algebra)Monte Carlo methodEnergy (signal processing)Excited stateSpectral linePhotoelectric effectX-ray fluorescenceMineralogyComputational physicsChemistryLeast squares

摘要: Abstract A new analysis principle called Monte Carlo—Library Least-Squares (MCLLS) approach has been identified and investigated for quantitative energy dispersive x-ray fluorescence analyses. The feasibility of the MCLLS with a radioisotope source excited EDXRF analytical system several standard samples known composition. With good initial elemental composition guesses, results showed excellent agreement compositions in samples. Furthermore, by taking ratio photoelectric peak counts sample experimental spectra as approximate proposed iterative algorithm works quite well, converging to correct compositions. Only one iteration was needed all major elements. For trace elements second some cases. Other possible applications future work are also discussed.

参考文章(18)
T. He, K. Verghese, R.P. Gardner, Investigation of energy-dispersive X-ray fluorescence analysis for on-line aluminum thickness/composition measurement Transactions of the American Nuclear Society. ,vol. 63, ,(1991)
J. H. Hubbell, Wm. J. Veigele, E. A. Briggs, R. T. Brown, D. T. Cromer, R. J. Howerton, Atomic form factors, incoherent scattering functions, and photon scattering cross sections Journal of Physical and Chemical Reference Data. ,vol. 4, pp. 471- 538 ,(1975) , 10.1063/1.555523
A J Rollason, R S Holt, M J Cooper, Directional Compton profiles and the electron density distribution in iron Journal of Physics F: Metal Physics. ,vol. 13, pp. 1807- 1819 ,(1983) , 10.1088/0305-4608/13/9/009
T.H. Prettyman, R.P. Gardner, K. Verghese, MCPT: A Monte Carlo code for simulation of photon transport in tomographic scanners Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment. ,vol. 299, pp. 516- 523 ,(1990) , 10.1016/0168-9002(90)90835-T
A J Rollason, J R Schneider, D S Laundy, R S Holt, M J Cooper, Electron momentum density in nickel Journal of Physics F: Metal Physics. ,vol. 17, pp. 1105- 1121 ,(1987) , 10.1088/0305-4608/17/5/011
Wm.J. Veigele, Photon cross sections from 0.1 keV to 1 MeV for elements Z = 1 to Z = 94* Atomic Data and Nuclear Data Tables. ,vol. 5, pp. 51- 111 ,(1973) , 10.1016/S0092-640X(73)80015-4
A.M. Yacout, R.P. Gardner, K. Verghese, Cubic spline techniques for fitting X-ray cross sections Nuclear Instruments and Methods in Physics Research. ,vol. 220, pp. 461- 472 ,(1984) , 10.1016/0167-5087(84)90311-9