객관식
For an electron in the n = 4 shell with a magnetic quantum number ml = -2, how many distinct sets of all four quantum numbers (n, l, ml, ms) are possible?
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9. Quantum Mechanics
Quantum Numbers: Magnetic Quantum Number
객관식
Which property of an electron in an atom is determined by the magnetic quantum number (m_l)?
A
The shape of the orbital
B
The energy level of the electron
C
The orientation of the orbital in space
D
The spin direction of the electron
검증된 단계별 안내1
Recall that the magnetic quantum number, denoted as \(m_l\), is one of the four quantum numbers used to describe the unique quantum state of an electron in an atom.
Understand that \(m_l\) specifically determines the orientation of the orbital in space relative to an external magnetic field. It can take integer values ranging from \(-l\) to \(+l\), where \(l\) is the azimuthal (angular momentum) quantum number.
Note that the shape of the orbital is determined by the azimuthal quantum number \(l\), not \(m_l\).
Recognize that the energy level of the electron is primarily determined by the principal quantum number \(n\), and sometimes influenced by \(l\) and \(m_l\) in multi-electron atoms, but \(m_l\) itself directly corresponds to orientation.
Remember that the spin direction of the electron is described by the spin quantum number \(m_s\), which is separate from \(m_l\).
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