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  • Quantum Numbers for Magnesium Valence Electrons: A Step-by-Step Guide
    Here's how to determine the quantum numbers for a valence electron in a ground-state magnesium atom:

    1. Electronic Configuration:

    * Magnesium (Mg) has an atomic number of 12, meaning it has 12 electrons.

    * Its electronic configuration is 1s² 2s² 2p⁶ 3s².

    2. Identifying Valence Electrons:

    * Valence electrons are the electrons in the outermost energy level. For magnesium, these are the two electrons in the 3s orbital.

    3. Quantum Numbers:

    * n (Principal Quantum Number): This describes the energy level. For the 3s electrons, n = 3.

    * l (Azimuthal or Angular Momentum Quantum Number): This describes the shape of the orbital. For an s orbital, l = 0.

    * ml (Magnetic Quantum Number): This describes the orientation of the orbital in space. For an s orbital, there is only one orientation, so ml = 0.

    * ms (Spin Quantum Number): This describes the intrinsic angular momentum of the electron, which is also called spin. Electrons have a spin of either +1/2 or -1/2. Since we have two electrons in the 3s orbital, one will have ms = +1/2 and the other will have ms = -1/2.

    Therefore, a possible set of quantum numbers for one of the valence electrons in a ground-state magnesium atom is:

    * n = 3

    * l = 0

    * ml = 0

    * ms = +1/2 (or ms = -1/2)

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