For argon (Ar), quantum numbers include \(n = 3\), \(l = 0, 1\), \(m_l = 0, -1, 1\) for 3s and 3p orbitals, and \(m_s = \pm \frac{1}{2}\).
For the element argon (Ar), the quantum numbers describe the arrangement of electrons. In the ground state, argon has the electron configuration [Ne]3s²3p⁶, with a total of 18 electrons. The quantum numbers for electrons in argon include:
1. **Principal Quantum Number (n):** \(n = 3\) for the third energy level.
2. **Azimuthal Quantum Number (l):** \(l\) can be 0 to \(n-1\), so \(l = 0\) for the 3s subshell and \(l = 1\) for the 3p subshell.
3. **Magnetic Quantum Number (m_l):** \(m_l\) ranges from \(-l\) to \(l\), so \(m_l = 0\) for the 3s orbital and \(m_l = -1, 0, 1\) for the 3p orbitals.
4. **Spin Quantum Number (m_s):** \(m_s = \pm \frac{1}{2}\) represents the spin of the electron.