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  • Calculating Unpaired Electrons: A Step-by-Step Guide
    Here's how to find the number of unpaired electrons in an atom or ion:

    1. Electron Configuration:

    * Write the electron configuration: Start by writing the full electron configuration for the atom or ion. For example, the electron configuration of oxygen (O) is 1s² 2s² 2p⁴.

    * Fill orbitals diagrammatically: Use Hund's rule and the Aufbau principle to fill the orbitals in a diagram. This will help you visualize the electron arrangement. For example, for oxygen's 2p subshell:

    * _ _ _

    * ↑↓ ↑ ↑

    * Count the unpaired electrons: In the diagram, the unpaired electrons are those that occupy orbitals by themselves. Oxygen has two unpaired electrons in its 2p subshell.

    2. Using the Periodic Table:

    * Identify the element's group: The group number (excluding transition metals) tells you the number of valence electrons.

    * Consider the element's position: If the element is in the first two columns or the last six columns of the periodic table (excluding transition metals), the number of unpaired electrons can be easily determined:

    * Groups 1 and 2: They have 1 and 2 unpaired electrons, respectively.

    * Groups 13-18:

    * Groups 13 and 14 have 3 and 2 unpaired electrons, respectively.

    * Groups 15-18 have 3, 2, 1, and 0 unpaired electrons, respectively.

    * Transition metals are more complex: You'll need to use electron configuration and orbital diagrams for transition metals.

    Example: Nitrogen (N)

    1. Electron configuration: 1s² 2s² 2p³

    2. Orbital diagram:

    * _ _ _

    * ↑ ↑ ↑

    3. Unpaired electrons: Nitrogen has three unpaired electrons.

    Key Points:

    * Hund's Rule: Electrons will fill orbitals individually before pairing up within the same subshell.

    * Aufbau Principle: Electrons fill orbitals in order of increasing energy.

    * Paramagnetism: Atoms with unpaired electrons are paramagnetic, meaning they are attracted to a magnetic field.

    * Diamagnetism: Atoms with all paired electrons are diamagnetic, meaning they are weakly repelled by a magnetic field.

    Let me know if you want to work through a specific example!

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