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Zinc has a filled 3d sublevel and 4s sublevel. There is more shielding from the effective nuclear charge within the filled 3d sublevel and also from the filled 4s sublevel. Copper does not have a filled 4s sublevel; recall that one of the 4s electrons "jumps up" to the 3d sublevel thereby stabilizing it by making it filled with 10 electrons. Because of this, the 4s is only half filled and there is not as much shielding within the 4s sublevel allowing the effective nuclear charge to pull the 4th energy level in more toward the nucleus. This will make the overall size of the atom smaller.

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Q: Even though zinc is after copper in the periodic table leading to an increase in the nulear charge by 1 which should therefore decrease the radius why is it larger than copper?
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