Question

Slater's rules:

what is z_eff of an elecrton with these quantum numbers:

n=5

l= 2

m_l= -2

ms= 1/2

Answer 1

The Zeff for single (5d) electron is equal to 1, for screening of d electrons

1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p 6 5s2 5p6 6s2 5d1 (assuming this as the configuration)

Zeff(5d) can be calculated by using the slater's rule, the question is quite ambiguous put these values and get the answers.

Slater's rule:

For ns, the value will be equal to 0.35 and for 1s, the value will be equal to 0.30

For (n-1)s and (n-1)p, the value will be equal to 0.85

For (n-2)s and (n-2)p and lower orbitals, the value will be equal to 1

For every d and f orbital, the value will be equal to 1

Zeff = Z - s (where Z is atomic number and s is the above calculated value)