Microcanonical partition

For the following molecule, indicate the number of valence electron, the electron geometry, the molecular geometry, and the polarity. Number of valence electrons: Electron geometry: Molecular geometry: Polarity: For geometries, use the table in Appendix F. This PhET simulation may be useful. For polarity, type "polar" or "nonpolar" in the box, as appropriate.3.1. Consider the standard Hamiltonian for a system of NV identical particles H =\\ PL+U(1 1, .., IN). 2m a. Show that the microcanonical partition function can be expressed in the form n ( N, V. E) - MN / dE AND6 ( E Pi E 2m DIV) d' ro ( U( r , . . . . . PN ) - E +E) . which provides a way to separate the kinetic and potential contributions to the partition function. b. Based on the result of part a, show that the partition function can, there- fore, be expressed as Eo 25m 3/27 N n(N. V.E) = NIT (IN) ha dr E-U(1. ...IN )]BN/2-19(E -U(ri. .IN)). where (z) is the Heaviside step function