Related Experiment Video
Updated: Sep 26, 2026

Surface Properties of Synthesized Nanoporous Carbon and Silica Matrices
Published on: March 27, 2019
Phonon modes and heat capacity of monolayer films adsorbed in spherical pores
R A Trasca1, A M Vidales, M W Cole
1Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Abstract:
We examine the hydrodynamic phonon spectrum of a monolayer film adsorbed on the wall of a spherical pore. Due to the boundary conditions, the monolayer film exhibits a discrete phonon spectrum. The corresponding density of states per unit frequency is thus a set of delta functions, and the heat capacity exhibits Arrhenius behavior at low temperatures. At high temperatures, the heat capacity approaches the C approximately T2 behavior of a two-dimensional monolayer film. Our results for the spherical surface film are compared to previous calculations for films confined to a cylindrical surface.
Related Concept Videos
Adsorption Isotherms II
Heat Capacities of an Ideal Gas II
Heat Capacities of an Ideal Gas III
Adsorption Isotherms I
Heat Capacities of an Ideal Gas I
Molar heat capacity quantifies the ratio of the amount of heat added (or removed) to increase (or decrease) the temperature of...
Adsorption of Gases on Solids

