객관식
Which of the following is a correct set of values for the magnetic quantum number, m, for one of the subshells when n = 2?
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9. Quantum Mechanics
Quantum Numbers: Magnetic Quantum Number
객관식
Which of the following best describes the allowed values for the magnetic quantum number, ml, for a given value of the angular momentum quantum number, l?
A
ml can take any integer value
B
ml can only be positive integers up to l
C
ml can only be zero
D
ml can take integer values from -l to +l, including zero
검증된 단계별 안내1
Recall that the magnetic quantum number, \(m_l\), describes the orientation of the orbital angular momentum in space relative to an external magnetic field.
Understand that for a given angular momentum quantum number \(l\), the possible values of \(m_l\) are quantized and depend on \(l\).
The allowed values of \(m_l\) are all the integer values starting from \(-l\) up to \(+l\), including zero. This means \(m_l\) can be \(-l, -(l-1), ..., -1, 0, 1, ..., (l-1), l\).
This range arises because the magnetic quantum number corresponds to the projection of the angular momentum along a chosen axis, and the quantization reflects the discrete orientations possible.
Therefore, the best description is that \(m_l\) can take integer values from \(-l\) to \(+l\), including zero.
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