A common form of elemental phosphorus is the tetrahedral $\mathrm{P}_{4}$ molecule, where all four phosphorus atoms are equivalent: At room temperature phosphorus is a solid. (a) Are there any lone pairs of electrons in the $\mathrm{P}_{4}$ molecule? (b) How many $\mathrm{p}-\mathrm{p}$ bonds are there in the molecule? (c) Draw a Lewis structure for a linear $P_{4}$ molecule that satisfies the octet rule. Does this molecule have resonance structures? (d) On the basis of formal charges, which is more stable, the linear molecule or the tetrahedral molecule?