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In the quantum mechanical model of the atom, what does the principal quantum number n represent?
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9. Quantum Mechanics
Quantum Numbers: Principal Quantum Number
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Which principal quantum number, n, corresponds to the ground state of the hydrogen atom?
A
n = 1
B
n = 0
C
n = 2
D
n = 3
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Recall that the principal quantum number, \(n\), determines the energy level or shell of an electron in an atom.
Understand that for the hydrogen atom, the ground state corresponds to the lowest energy level, which is the smallest allowed value of \(n\).
Remember that the principal quantum number \(n\) must be a positive integer starting from 1 (i.e., \(n = 1, 2, 3, \ldots\)), so \(n = 0\) is not a valid quantum number.
Recognize that the ground state of hydrogen is when the electron is in the \(n = 1\) energy level, which is the closest shell to the nucleus and has the lowest energy.
Therefore, the principal quantum number corresponding to the ground state of hydrogen is \(n = 1\).
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