Open AccessChange in baric properties with decreasing size of germanium nanocrystal
Author(s) -
M. N. Magomedov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1348/1/012013
Subject(s) - nanocrystal , germanium , isothermal process , materials science , thermodynamics , isobaric process , lattice (music) , crystallography , chemistry , nanotechnology , physics , silicon , acoustics , metallurgy
The equation of state P ( v / v o ) and the baric dependences of both the lattice and the surface properties for germanium macro- and nanocrystals were calculated using the Mie-Lennard-Jones pairwise interatomic potential and the RP-model of a nanocrystal. It is shown that at a certain value of the relative volume ( v / v o )0, the isothermal dependences P ( v / v o ) for the macro- intersect with those for the nanocrystal. At the intersection point (at ( v / v o )0), the surface pressure becomes zero. The value ( v / v o )0 decreases both with an isomorphic-isomeric rise in temperature, and with an isomorphically-isothermal decrease in the number of atoms in a nanocrystal, or with an isomeric-isothermal deviation of the shape of the nanocrystal from the energy-optimal shape (a cube for the RP-model). Based on the equation of state obtained, the change in 23 properties of Ge was studied both at an isochoric ( v / v o = 1) and at an isobaric ( P = 0) decrease in the number of atoms in a nanocrystal at temperatures of 100, 300, and 1000 K.