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NCERT Exemplar · Q3

Q.The order of screening effect of electrons of s, p, d and f orbitals of a given shell of an atom on its outer shell electrons is:

(i) s > p > d > f
(ii) f > d > p > s
(iii) p < d < s > f
(iv) f > p > s > d
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The screening (shielding) effect depends on the penetrating power of the orbital. More penetrating orbitals shield outer electrons more effectively. The order is s > p > d > f.

The question is about the screening effect — the ability of inner-shell electrons to "block" the nuclear charge from reaching the outermost electrons. This is a core concept in understanding periodic trends like atomic size and ionization energy.

The key idea is penetration. An electron in an orbital that spends more time near the nucleus (i.e., has higher penetrating power) will shield outer electrons more effectively. Why? Because it sits closer to the nucleus on average, so it cancels out more of the nuclear charge for electrons farther out.

For a given principal quantum number nn, the order of penetrating power is:

s>p>d>fs > p > d > f

This is because s-orbitals have no nodal plane and have a significant probability density right at the nucleus. p-orbitals have a node at the nucleus, so they penetrate less. d-orbitals penetrate even less, and f-orbitals the least.

Since screening power follows the same trend as penetrating power, the correct order is:

s>p>d>fs > p > d > f

Let's break it down step by step.

  1. What is screening? An inner electron reduces the effective nuclear charge (ZeffZ_{\text{eff}}) felt by an outer electron. The more effectively an inner electron "covers" the nucleus, the more it screens.

  2. Why does penetration matter? An electron in a highly penetrating orbital (like 2s) spends a significant fraction of its time inside the region of the 1s electrons, very close to the nucleus. This means it experiences a large fraction of the full nuclear charge itself, and in turn, it blocks that charge from reaching electrons further out. A poorly penetrating orbital (like 2p) stays farther out, so it does a worse job of shielding.

  3. The radial distribution functions confirm this. For the same nn, the s-orbital has a small "bump" of probability density very close to r=0r=0 (the nucleus). The p-orbital's first peak is farther out, and d and f are farther still. This directly translates to the order of screening ability.

Watch out

A common mistake is to confuse screening power with number of electrons. While more electrons generally mean more screening, the type of orbital matters greatly. For example, a single 2s electron screens a 3s electron better than a single 2p electron does, even though both are in the same shell.

  1. Applying to the options: Option (A) gives s>p>d>fs > p > d > f, which matches the penetration order. Option (B) reverses it, which is wrong. Option (C) has a confusing inequality (p<d<s>fp < d < s > f) that doesn't represent a clean trend. Option (D) puts f first, which is incorrect.
Tip

A quick memory aid: the order of screening power is the same as the order of orbital energy for multi-electron atoms. For a given nn, s-orbitals are lowest in energy (most tightly bound), then p, then d, then f. This is because lower energy = closer to nucleus on average = better screening.

✓Final answer

The correct order is (A) s > p > d > f.

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