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Multiple Choice
When two p orbitals are combined in molecular orbital theory, how many distinct linear combinations (molecular orbitals) can be formed?
A
1
B
2
C
3
D
4
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Verified step by step guidance
1
Recall that when atomic orbitals combine in molecular orbital theory, the number of molecular orbitals formed equals the number of atomic orbitals combined.
Since we are combining two p orbitals, we start with 2 atomic orbitals.
Each pair of atomic orbitals can combine in different ways to form molecular orbitals: typically, one bonding orbital and one antibonding orbital.
However, p orbitals are directional and can combine in multiple orientations (e.g., along different axes), which can lead to more than just two molecular orbitals.
Specifically, two p orbitals can combine to form three distinct molecular orbitals: one sigma (σ) bonding, one sigma antibonding (σ*), and one pi (π) orbital, resulting in a total of 3 molecular orbitals.