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For a 3s^2 electron in a phosphorus atom, what is the value of the third quantum number (magnetic quantum number, m_l)?
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9. Quantum Mechanics
Quantum Numbers: Spin Quantum Number
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What is the maximum number of electrons that can occupy one p orbital?
A
3
B
2
C
6
D
1
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Recall that an orbital is a region in space where there is a high probability of finding an electron. Each orbital can hold a specific maximum number of electrons based on quantum mechanical principles.
Understand that the p subshell consists of three p orbitals (px, py, pz), but the question asks about a single p orbital, not the entire p subshell.
Apply the Pauli Exclusion Principle, which states that each orbital can hold a maximum of two electrons, and these electrons must have opposite spins.
Therefore, the maximum number of electrons that can occupy one p orbital is 2.
Note that while the entire p subshell can hold 6 electrons (2 per orbital × 3 orbitals), each individual p orbital can only hold 2 electrons.
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