Calculation of the Second EXAFS Cumulant of Si Using the Anharmonic Correlated Einstein Model

second EXAFS cumulant ACE model thermal disorders crystalline silicon

Authors

  • Tran Thi Huyen Giang Faculty of Fundamental Sciences, University of Fire Prevention and Fighting, Hanoi 120602, Vietnam
  • Do Ngoc Bich Faculty of Fundamental Sciences, University of Fire Prevention and Fighting, Hanoi 120602, Vietnam
  • Vu Thi Kim Lien Faculty of Fundamental Sciences, University of Fire Prevention and Fighting, Hanoi 120602, Vietnam
July 6, 2024
August 2, 2024

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The second expanded X-ray absorption fine structure (EXAFS) cumulant of the crystalline silicon (Si) has been studied in the temperature-dependent. This is calculated in explicit forms using the anharmonic correlated Einstein (ACE) model developed from the correlated Einstein model based on the anharmonic effective potential and the quantum statistical theory. The numerical results of Si in the temperature range from 0 to 1200 K are in good agreement with those obtained by the other theoretical models and experiments at several temperatures. The analytical results show that the ACE model is suitable for analyzing the experimental EXAFS data of diamond cubics.