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Ch.9 - Molecular Geometry and Bonding Theories
Chapter 9, Problem 83a

Assume that the MOs of diatomics from the third row of the periodic table, such as P2, are analogous to those from the second row.
a. Which valence atomic orbitals of P are used to construct the MOs of P2?

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1
Identify the valence atomic orbitals of a phosphorus (P) atom. Phosphorus is in the third period and has the electron configuration [Ne] 3s^2 3p^3.
Recognize that the valence atomic orbitals involved in bonding are the 3s and 3p orbitals.
Understand that in diatomic molecules like P2, these valence orbitals combine to form molecular orbitals (MOs).
Note that the 3s orbitals from each phosphorus atom will combine to form sigma (\(\sigma\)) bonding and antibonding MOs.
The 3p orbitals will combine to form both sigma (\(\sigma\)) and pi (\(\pi\)) bonding and antibonding MOs, similar to the MO formation in second-row diatomics.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molecular Orbitals (MOs)

Molecular orbitals are formed by the linear combination of atomic orbitals (LCAO) from the constituent atoms in a molecule. In diatomic molecules, these MOs can be bonding, antibonding, or non-bonding, depending on the phase relationship of the combining atomic orbitals. Understanding how MOs are constructed is crucial for predicting the electronic structure and properties of molecules like P2.
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Valence Atomic Orbitals

Valence atomic orbitals are the outermost orbitals of an atom that participate in chemical bonding. For phosphorus (P), the relevant valence orbitals include the 3s and 3p orbitals. Identifying which of these orbitals contribute to the formation of MOs in diatomic molecules is essential for understanding their bonding characteristics and molecular geometry.
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Periodic Trends in Orbital Energy

The energy levels of atomic orbitals vary across periods in the periodic table, influencing the formation of MOs. As you move from the second to the third row, the energy of the 3s and 3p orbitals in phosphorus is higher than that of the corresponding 2s and 2p orbitals in second-row elements. This trend affects the overlap and interaction of orbitals when forming MOs, which is key to understanding the bonding in P2.
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