Analysis of equation of state for nanomaterials

An equation of state (EOS) recently proposed for nanomaterials is discussed critically. Different possible forms of the EOS are discussed with their correlations. We have considered 20 nanomaterials for this purpose, viz. CdSe, Rb3C60, carbon nanotube, γ-Fe2O3, ε-Fe (hexagonal iron), MgO, γ-Al2O3 (67 nm), α-Fe2O3, α-Fe (filled nanotube), TiO2 (anatase ), 3C-SiC (30 nm), TiO2 (rutile phase), Zr0.1Ti0.9O2, γ-Si3N4, Ni-filled MWCNT, Fe-filled MWCNT, CeO2 (cubic fluorite phase and orthorhombic phase), germanium (49 nm), GaN (wurtzite phase) and SnO2 (rutile phase) (14 nm). It is found that the change in the form of EOS does not improve the results. This demonstrates the validity of the EOS proposed for nanomaterials. The EOS is also used to study the effect of temperature on compression of Ni (20 nm). It is found that there is small shift in isotherm due to increase in the temperature. The results have been found to present a good agreement with the available experimental data.