Spring constant analogy for estimating stiffness of a single polyethylene molecule

Abstract

The stiffness of a simple planar polymeric chain is modeled using analogies of mechanical springs arranged in series and in parallel assemblies. The stiffness of chemical bonds is resolved into two perpendicular axes defined by the longitudinal and transverse axes in the molecular plane. Using Hooke's definition of spring stiffness, the molecular stiffness of polyethylene is obtained along the longitudinal and transverse directions. This paper demonstrates the use of physical analogies and mathematical approximations for obtaining an analytical form for the stiffness of a simple single-molecule.