Effect of size dependent bulk modules on compression of nanomaterials
Loading...
Date
2017-07
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand)
Abstract
High pressure study is very important for better understanding of matter in the world around us and to create entirely new form of matter.
In the present thesis, a theoretical study of the effect of size dependent bulk modulus on compression of nanomaterial has been done. Murnaghan, Birch-Murnaghan, Usual tait and Shanker equations of state are modified to include the effect of size on compression of
nanomaterials. Then the applicability of these modified equations has been checked for Al2O3 (37 nm and 67 nm), Ge (13 nm and 49 nm), SnO2 (3 nm, 8 nm and14 nm), Ni (20 nm and 29 nm), PbS (2.6 nm, 5.4 nm and 8.8 nm) nanomaterials. These four equations are modified by considering linear and non-linear relation between size of nanomaterial and bulk modulus respectively, to investigate compresional behaviour of above nanomaterials. In both cases the results are compared with available experimental data. Present study reveals that modified equations which include linear relation between bulk modulus and size of nanoparticle are not valid for all chosen nanomaterials, while modified equations which include the non-linear relation between bulk modulus and size of nanoparticle are in good agreement with experimental data for all above nanomaterials. Shanker equation gives slightly different results from experimental results at high pressure. It is concluded that the general relation between bulk modulus and size of nanoparticle is not linear. Value of non-linearity parameter ϵ
can be useful to understand behaviour of small particles. The non-linear size dependent modified equations of Murnaghan, Birch-Murnaghan, Usual Tait and Shanker may be helpful for compressional study nanomaterials.
Description
Keywords
null