(a) Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the masses of the B atoms. (b) Ca lcu late the rotationa l constant of 32S19F6, for which the S-F bond length is 158 pm.

The transition from theℓ = 2 to the ℓ = 1 state in CO is accompanied by the emission of a 9.55 x 10-4 eV photon. (a) Use this information to fi nd the rotational inertia of the CO molecule. (b) What is the bond length between the C and O atoms?

Suppose the distance between the two atoms is equal to the equilibrium distance found in part A. What minimum energy must be added to the molecule to dissociate it-that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13×10−10m and the dissociation energy is 1.54×10−18J per molecule. Find the value of the constant a. Find the value of the constant b.

In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of   and an adjacent C-H bond is at the direction . results to an angular bond of approximately 109o for a static frozen molecule.  However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.93i + 0.91j + 1.09k B = 1.02i + -0.99j + -1.08k