For electrons in the \(n=3\) energy level of a Scandium atom:
a) \(n=3, l=0, m_l=0, s=+1/2\)
b) \(n=3, l=0, m_l=0, s=-1/2\)
c) \(n=3, l=1, m_l=1, s=+1/2\)
d) \(n=3, l=1, m_l=-1, s=-1/2\)
These quantum numbers uniquely describe each electron's properties.
For an electron in an atom, the set of quantum numbers includes:
1. Principal Quantum Number (\(n\)): Represents the energy level or shell of the electron.
2. Azimuthal Quantum Number (\(l\)): Defines the subshell or orbital shape.
3. Magnetic Quantum Number (\(m_l\)): Specifies the orientation of the orbital within a subshell.
4. Spin Quantum Number (\(s\)): Describes the electron's spin direction.
For the \(n = 3\) energy level in a Scandium (Sc) atom, the quantum numbers for each electron are as follows:
a) Electron 1: \(n=3, l=0, m_l=0, s=+1/2\)
b) Electron 2: \(n=3, l=0, m_l=0, s=-1/2\)
c) Electron 3: \(n=3, l=1, m_l=1, s=+1/2\)
d) Electron 4: \(n=3, l=1, m_l=-1, s=-1/2\)
These quantum numbers uniquely identify each electron in the \(n=3\) energy level of a Scandium atom.