The dipole moment of hydrogen fluoride, HCl, is 1.91 D and the bond length is 0.917 Å.  Calculate the fractional charge on the hydrogen and chlorine atoms.

The Pauling electronegativities of fluorine and chlorine are 4.0 and 3.0 respectively.  Estimate the dipole moment of chlorine monofluoride, ClF.

Spectroscopic studies show that the dipole moment of nitrogen dioxide, NO₂, is 0.303 D and that the molecule has a bent symmetrical O–N–O geometry with an O–N bond length of 1.19 Å and an O–N–O bond angle of 134°.  Calculate the partial charge on the nitrogen atom.

Nitrous oxide, N₂O, molecules have an N₁–N₂–O linear geometry with an N₁–N₂ bond length of 1.13 Å and an N₂–O bond length of 1.18 Å.  The partial charges on the N₁ atom is –0.363e, the N₂ atom is +0.713e and the O atom is –0.350e.  Calculate the magnitude of the dipole moment of a nitrous oxide molecule.

Estimate the potential energy of interaction between the terminal atoms in the –N–H···O=C– hydrogen bond formed between adenine and thymine.  The partial charge on the N–H bond in adenine is +0.18e and on the C=O bond in thymine is –0.45e.  The length of the hydrogen bond is 1.9 Å.  Assume that the peptides are in solution and that e_R = 3.5.

Calculate the potential energy of the interaction between an ammonia, NH₃, molecule and a hydrogen ion, H⁺, separated by 5.0 Å.  The dipole moment of ammonia is 1.47 D.  Assume that the hydrogen ion lies on the axis of symmetry of the ammonia molecule closest to the nitrogen atom.

Calculate the average potential energy of interaction resulting from the dipole–induced-dipole interaction between a hydrogen-fluoride, HF, molecule and an argon, Ar, atom that are separated by 5.0 Å.  The dipole moment of hydrogen fluoride is 4.0 D and the polarizability of argon is 1.66 × 10^–40 J^–1 C² m².

Estimate the potential energy resulting from the dispersion interaction between two nitrogen, N₂, molecules at a separation of 3.00 Å.  The polarizability volume of a nitrogen molecule is 1.97 ų and the ionization energy is 15.6 eV.

The Lennard-Jones potential parameter for the strength of the interaction between carbon dioxide molecules are given in a table as

Calculate the depth of the potential-energy well.

The minimum in the potential-energy well for the interaction between methane molecules has been found to be 0.346 nm.  Determine the value of the equivalent Lennard-Jones parameter, r₀.