Additional Problems

For the preceding problem, sketch the potential energy versus separation graph for the bonding of ${\text{K}}^{+}\text{and}{\text{Fl}}^{\text{−}}$ ions. (a) Label the graph with the energy required to transfer an electron from K to Fl. (b) Label the graph with the dissociation energy.

The characteristic energy of the ${\text{Cl}}_2$ molecule is $2.95\times {10}^{\mathrm{-5}}\text{eV}$. Determine the separation distance between the nitrogen atoms.

A carbon atom can hybridize in the $s{p}^2$ configuration. (a) What is the angle between the hybrid orbitals?

Why is bonding in ${\text{H}}_2{}^{+}$ favorable? Express your answer in terms of the symmetry of the electron wave function.

Show that the moment of inertia of a diatomic molecule is $I=\mu r_0^2$, where $\mu$ is the reduced mass, and $r_0$ is the distance between the masses.

Measurements of a superconductor’s critical magnetic field (in T) at various temperatures (in K) are given below. Use a line of best fit to determine $B_{\text{c}}(0).$ Assume $T_{\text{c}}=9.3\text{K}\text{.}$

Transition in the rotation spectrum are observed at ordinary room temperature ($T=300\text{K}$). According to your lab partner, a peak in the spectrum corresponds to a transition from the $l=4$ to the $l=1$ state. Is this possible? If so, determine the momentum of inertia of the molecule.

Find the average energy of an electron in a Zn wire.

A physical model of a diamond suggests a BCC packing structure. Why is this not possible?