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Multiple Choice
All of the orbitals in a given subshell have the same value as the ________ quantum number.
A
principal
B
magnetic
C
angular momentum
D
spin
Verified step by step guidance
1
Understand the concept of quantum numbers: Quantum numbers are used to describe the properties of atomic orbitals and the electrons in those orbitals. There are four quantum numbers: principal (n), angular momentum (l), magnetic (m_l), and spin (m_s).
Identify the role of each quantum number: The principal quantum number (n) indicates the energy level and size of the orbital. The angular momentum quantum number (l) determines the shape of the orbital. The magnetic quantum number (m_l) specifies the orientation of the orbital in space. The spin quantum number (m_s) describes the spin direction of the electron.
Focus on the subshell concept: A subshell is defined by the angular momentum quantum number (l). All orbitals within a subshell have the same angular momentum quantum number, which determines the shape of the orbitals within that subshell.
Recognize the relationship between subshells and quantum numbers: Since all orbitals in a given subshell share the same angular momentum quantum number, this is the quantum number that remains constant across orbitals in the same subshell.
Conclude with the correct quantum number: The angular momentum quantum number (l) is the one that is the same for all orbitals in a given subshell, as it defines the subshell itself.