Abstract
We developed a simple theoretical model to study the effect of pressure, temperature, shape and size on nanomaterials. We used the model to study the Equation of state (EOS) and pressure dependence of lattice parameter of SnO2 nanomaterial. We selected SnO2 as an example because of the fact that the required experimental data are available so that a comparison of the results may be presented. We used the model to study the compression behaviour at room temperature and compared our results with the experimental data as well as with those based on Birch- Murnaghan Equation of state (BMEOS). Our results are found to present a good agreement with the experimental data as well as with those based on BMEOS. Due to the simplicity and applicability of the model, we extended our studies at different temperatures i.e. 300 K, 500 K and 700 K. A shift in the isotherms has been obtained. We also included the effect of shape and size in the EOS model to make it widely applicable for nanosystems. The results of pressure dependence of lattice parameter for SnO2 are compared with available experimental data. A good agreement between theory and experiment supports the validity of the model developed.
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