Question

Calculate the effective nuclear charge of 3p electron in phosphorus atom

Answer 1

The effective nuclear charge of 3p electron in phosphorus atom is, 4.8

Explanation :

As we are given that, the element is phosphorous that has atomic number 15.

The electronic Configuration of (P), phosphorous is,

$1s^22s^22p^63s^23p^3$

Formula used to calculate the effective nuclear charge is:

$(Z_{eff})_{4s}=Z-\sigma$

and,

$\sigma$ = 0.35 × (number of electrons in ns and np shell) + 0.85 × (number of electrons in (n - 1)th shell) + 1.00 × (total number of electrons in the inner shell)

= $0.35\times 4+0.85\times 8+1.00\times 2$

= 10.2

So,

$Z_{eff}=15-10.2=4.8$

Thus, the effective nuclear charge of 3p electron in phosphorus atom is, 4.8

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