Effective nuclear charge

The effective nuclear charge, also known as the kernel charge, is the net positive charge experienced by an electron in a multi-electron atom. The term "effective" is used because the shielding effect of negative electrons prevents higher orbital electrons from experiencing the full nuclear charge.

In an atom with one electron, that electron experiences the full charge of the positive nucleus. In this case, the effective nuclear charge can be calculated from Coulomb's law.

However, in an atom with many electrons the outer electrons are simultaneously attracted to the positive nucleus and repelled by the negatively charged electrons. The effective nuclear charge on such an electron is given by the following equation:

$Z_{\mbox{eff}}=Z-S$

where

Z is the number of protons in the nucleus (atomic number)

S is the average number of electrons between the nucleus and the electron in question (the number of nonvalence electrons).

S can be found by the systematic application of various rule sets, the simplest of which is known as "Slater's rules" (named after John C. Slater).

Note: Z_eff is also often known as "Z* ".

Related

• Slater's rules
• Slater-type orbitals
• Electronegativity

Resources

• Brown, Theodore; LeMay, H.E.; & Bursten, Bruce (2002). Chemistry: The Central Science (8th revised edition). Upper Saddle River, NJ 07458: Prentice-Hall. ISBN 0-61155-61141-5.