The number of sigma bonds and pi bonds in the diagram are 6 and 9 respectively. Option c is the right choice.
To complete the Lewis structure of the complex organic molecule shown in the image, we need to add lone pairs to each atom so that all atoms have a full valence shell. We also need to add double bonds to some of the carbon atoms to satisfy their valence.
First, we add lone pairs to the nitrogen atoms. Each nitrogen atom has three valence electrons, and it needs four to have a full valence shell. Therefore, we add one lone pair to each nitrogen atom.
Next, we add a double bond to each carbon-carbon bond. This will satisfy the valence of all of the carbon atoms.
Lewis structure of complex organic molecule
There are 8 sigma bonds and 9 pi bonds in the molecule. Sigma bonds are formed by the overlap of head-on orbitals, while pi bonds are formed by the overlap of side-by-side orbitals.
Sigma bonds:
4 C-C bonds
4 C-N bonds
Pi bonds:
3 C-C double bonds
3 C=N double bonds
Therefore, the answer is: 8 sigma bonds and 9 pi bonds. Option c is the right choice.