Cyanamide $\left(\mathrm{H}_{2} \mathrm{NCN}\right),$ an important industrial chemical, is produced by the following steps: Calcium cyanamide (CaNCN) is used as a direct-application fertilizer, weed killer, and cotton defoliant. It is also used to make cyanamide, dicyandiamide, and melamine plastics:
a. Write Lewis structures for $\mathrm{NCN}^{2-}, \mathrm{H}_{2} \mathrm{NCN}$, dicyandiamide, and melamine, including resonance structures where appropriate.
b. Give the hybridization of the $\mathrm{C}$ and $\mathrm{N}$ atoms in each species.
c. How many $\sigma$ bonds and how many $\pi$ bonds are in each species?
d. Is the ring in melamine planar?
e. There are three different $\mathrm{C}-\mathrm{N}$ bond distances in dicyandiamide, NCNC(NH_)_2, and the molecule is nonlinear. Of all the resonance structures you drew for this molecule, predict which should be the most important.