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Chemistry · Glossary

What is Slater’s rules?

Definition 13.11 University Chemistry — Year 2 · Chapter 13 — Atomic Orbitals: Shapes, Energies and Sizes

Slater’s rules estimate the effective nuclear charge Z∗=Z−σZ^* = Z - \sigma felt by an electron. The electrons are grouped as (1s) (2s, 2p) (3s, 3p) (3d) (4s, 4p) (4d) (4f) (5s, 5p) …; the screening constant σ\sigma of an electron is the sum of the contributions of the other electrons: 0.35 for each other electron of the same group (0.30 within 1s); for an s or p electron, 0.85 for each electron of the shell n−1n - 1 and 1.00 for each electron of lower shells; for a d or f electron, 1.00 for every electron of the groups below its own. Groups above contribute nothing.

electron studiedsame groupshell n−1n - 1lower shellsgroups above
1s0.30——0
nns, nnp0.350.851.000
nnd, nnf0.351.001.000
Slater’s screening constants, per screening electron. The effective principal quantum numbers are n∗=1,2,3,3.7,4.0,4.2n^* = 1, 2, 3, 3.7, 4.0, 4.2 for n=1n = 1 to 6.
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