Version 1
: Received: 7 April 2024 / Approved: 8 April 2024 / Online: 9 April 2024 (10:59:07 CEST)
How to cite:
Tian, Y.; Ning, B.; Zhang, H.; Ning, X. Hydrostatic Equation of State of BCC Bi by Direct Solving the Partition Function. Preprints2024, 2024040590. https://doi.org/10.20944/preprints202404.0590.v1
Tian, Y.; Ning, B.; Zhang, H.; Ning, X. Hydrostatic Equation of State of BCC Bi by Direct Solving the Partition Function. Preprints 2024, 2024040590. https://doi.org/10.20944/preprints202404.0590.v1
Tian, Y.; Ning, B.; Zhang, H.; Ning, X. Hydrostatic Equation of State of BCC Bi by Direct Solving the Partition Function. Preprints2024, 2024040590. https://doi.org/10.20944/preprints202404.0590.v1
APA Style
Tian, Y., Ning, B., Zhang, H., & Ning, X. (2024). Hydrostatic Equation of State of BCC Bi by Direct Solving the Partition Function. Preprints. https://doi.org/10.20944/preprints202404.0590.v1
Chicago/Turabian Style
Tian, Y., Hui-Fen Zhang and Xi-Jing Ning. 2024 "Hydrostatic Equation of State of BCC Bi by Direct Solving the Partition Function" Preprints. https://doi.org/10.20944/preprints202404.0590.v1
Abstract
Body-centered cubic bismuth (Bi) is considered an enticing pressure marker, and therefore it is highly desirable to command its accurate equation of state (EOS). However, significant discrepancies are noted among the previous experimental EOSs. In the present work, the EOS up to 300 GPa is theoretically obtained by direct solving the partition function via a direct integral approach (DIA). The calculated results nearly reproduce the hydrostatic experimental measurements below 75 GPa, and the deviations from the measurements gradually get larger with increasing pressure. Based on the ensemble theory of equilibrium state, DIA works with high precision particularly in high-pressure conditions, so the hydrostatic EOS presented in this work is expected to be a reliable pressure standard.
Keywords
equation of state; bismuth; partition function; ensemble theory of equilibrium state; direct integral approach; hydrostatic condition
Subject
Physical Sciences, Atomic and Molecular Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
