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Which subshell (for example, 1𝑠 ) is designated by each set of quantum numbers?
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9. Quantum Mechanics
Quantum Numbers: Angular Momentum Quantum Number
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Which set of quantum numbers is not possible for an electron in an atom?
A
2, 1, -1, 1/2
B
2, 0, 0, -1/2
C
1, 1, 1, -1/2
D
3, 1, -1, 1/2
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Understand the four quantum numbers: n (principal quantum number), l (azimuthal quantum number), m_l (magnetic quantum number), and m_s (spin quantum number). These numbers describe the properties of electrons in an atom.
The principal quantum number, n, can be any positive integer (1, 2, 3, ...). It represents the energy level of the electron.
The azimuthal quantum number, l, can be any integer from 0 to n-1. It represents the shape of the orbital. For n=2, l can be 0 or 1.
The magnetic quantum number, m_l, can be any integer from -l to +l, including zero. It represents the orientation of the orbital. For l=1, m_l can be -1, 0, or 1.
The spin quantum number, m_s, can be either +1/2 or -1/2, representing the two possible spin states of an electron.
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