The structures of the \(\mathrm{NH}_{3}\) and \(\mathrm{NF}_{3}\) molecules are similar, yet the dipole moment for the \(\mathrm{NH}_{3}\) molecule is rather large (1.47 debye) and that of the NF \(_{3}\) molecule is rather small (0.24 debye). Provide an explanation for this difference in the dipole moments.

Short Answer

Expert verified
The difference in the dipole moments of \(\mathrm{NH}_{3}\) and \(\mathrm{NF}_{3}\) can be explained by the directions of their bond dipoles. In \(\mathrm{NH}_{3}\), all bond dipoles add up, creating a large overall dipole moment. In contrast, the bond dipoles in \(\mathrm{NF}_{3}\) partially cancel each other out due to the molecule's geometry, resulting in a smaller overall dipole moment.

Step by step solution

01

Identify Structures and Dipole Moments

The \(\mathrm{NH}_{3}\) and \(\mathrm{NF}_{3}\) molecules have trigonal pyramidal structures. In \(\mathrm{NH}_{3}\), hydrogen is electron-poor and nitrogen is electron-rich, creating a dipole moment directed from hydrogen to nitrogen. In \(\mathrm{NF}_{3}\), fluorine is more electronegative than nitrogen, creating individual bond dipole moments directed from nitrogen to fluorine.
02

Explain NH3 Dipole Moment

In \(\mathrm{NH}_{3}\), the individual bond dipole moments all point to the nitrogen atom. Because of the symmetric, pyramidal shape of the molecule, these bond dipoles do not cancel out, resulting in a large overall molecular dipole moment (1.47 debye).
03

Explain NF3 Dipole Moment

In \(\mathrm{NF}_{3}\), although each N-F bond has a strong dipole moment, the geometry of the molecule causes these dipoles to be oriented in such a way that they partially cancel each other out. The resulting overall dipole moment is smaller (0.24 debye).

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