Analytical expressions for bulk moduli and frequencies of volumetrical vibrations of fullerenes C20 and C60
Abstract
In the present paper simple analytical expressions connecting bulk moduli for fullerenes 𝐶20 and 𝐶60 with stiffness of interatomic bond and geometrical characteristics of the fullerenes are derived. Ambiguities related to definition of the bulk modulus are discussed. Nonlinear volumetrical deformation of the fullerenes is considered. Pressure-volume dependence for the fullerenes under volumetrical compression are derived. Simple analytical model for volumetrical vibrations of the fullerenes is proposed. The expression connecting frequencies of volumetrical vibrations for fullerenes 𝐶20 and 𝐶60 with parameters of interatomic interactions are obtained.
Supporting agencies: Authors are deeply grateful to Prof. A.M. Krivtsov for useful discussions and inspiration.
About the Authors
O. O. Kovalev
Saint Petersburg State Polytechnical University
Russian Federation
Russian Federation
Saint-Petersburg
V. A. Kuzkin
Institute for Problems in Mechanical Engineering, RAS
Russian Federation
Russian Federation
Saint-Petersburg
Review
For citations:
Kovalev O.O., Kuzkin V.A. Analytical expressions for bulk moduli and frequencies of volumetrical vibrations of fullerenes C20 and C60. Nanosystems: Physics, Chemistry, Mathematics. 2011;2(2):65-70.
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