Date of Publication :8th September 2024

Abstract:In our current study, we have made theoretical predictions for high pressure compression and the Grüneisen parameter under various compression conditions for nanomaterials. To achieve this, we employed two different equations of state (EOSs): the Murnaghan EOS and the Shanker EOS. The calculated values for pressure from both EOS align with established facts and serve as validation for our research. We obtain a new computing formula for the volume of the Grüneisen parameter γ at high temperatures. Applying this formula to nanomaterials such as γ − Fe2O2, TiO2 (Rutile Phase), MgO (100 nm), 3C-SiC (30 nm), and Ge (Cubic) in different pressure ranges, we find that the calculated values of the Grüneisen parameter γ are in good agreement with the experimental value. Moreover, this agreement also suggests that these EOSs, commonly used for pressure calculations in bulk materials, can be effectively applied to nanomaterials as well. Additionally, we observed that the graph plotting the Grüneisen parameter against the volume compression ratio forms a similar curve for all nanomaterials. This finding is consistent with the existing knowledge that the ratio γ/Ω (where Ω=V/V0), representing the Grüneisen parameter to volume compression ratio, remains constant for nanomaterials. This further confirms the validity of our work.

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