In the Spherical Cluster Approximation, a cluster is modeled as a sphere with the volume of the cluster assumed equal to the number of atoms N in the cluster multiplied with the volume of one atom. Using this model, derive expressions for: (a) the radius of the cluster, Rc in terms of the radius of an atom, Ra. (b) the surface area of the cluster, Sc, in terms of the surface area of an atom, Sa. (c) the number of surface atoms, Ns (assume that this is equal to the surface area of the cluster divided by the cross sectional area of an atom)

In the Spherical Cluster Approximation, a cluster is modeled as a sphere with the volume of the cluster assumed equal to the number of atoms N in the cluster multiplied with the volume of one atom. Using this model, derive expressions for: (a) the radius of the cluster, Rc in terms of the radius of an atom, Ra. (b) the surface area of the cluster, Sc, in terms of the surface area of an atom, Sa. (c) the number of surface atoms, Ns (assume that this is equal to the surface area of the cluster divided by the cross sectional area of an atom)

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter12: Atoms And Molecules

Section: Chapter Questions

Problem 12.12E: Are mathematical expressions for the following potential energies positive or negative? Explain why...

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