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Nuclear charge refers to the strength of nuclear pull on electrons of an atom. However, the presence of more electrons creates shielding, which lowers the nuclear pull. Z-eff refers to the value of nuclear charge - shielding.
Zeff is the effective nuclear charge of an electron. It can be calculated with Zeff= Z-S where Z is the number of protons in the nucleus and S is the electron density between the nucleus and electron. It increases going to the right and down on the periodic table.
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