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Exercises · 3.34

Q.Which of the following statements related to the modern periodic table is incorrect?

(a) The p-block has 6 columns, because a maximum of 6 electrons can occupy all the orbitals in a p-shell.
(b) The d-block has 8 columns, because a maximum of 8 electrons can occupy all the orbitals in a d-subshell.
(c) Each block contains a number of columns equal to the number of electrons that can occupy that subshell.
(d) The block indicates value of azimuthal quantum number (l) for the last subshell that received electrons in building up the electronic configuration.
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The d-block has 10 columns (not 8) because a d-subshell can hold a maximum of 10 electrons across its five orbitals. The incorrect statement is (b).

The periodic table's block structure directly reflects electron configuration. Each block (s, p, d, f) corresponds to the type of subshell being filled as we move across periods. The number of columns in each block equals the maximum electron capacity of that subshell, which comes from the number of orbitals multiplied by 2 (Pauli exclusion principle: two electrons per orbital).

Let me examine each statement against this principle.

Statement (a): The p-block has 6 columns

A p-subshell has three orbitals (pxp_x, pyp_y, pzp_z), corresponding to the magnetic quantum number ml=−1,0,+1m_l = -1, 0, +1 when l=1l = 1. Each orbital holds 2 electrons, giving a maximum of 3×2=63 \times 2 = 6 electrons. The p-block indeed spans 6 columns (groups 13–18 in the modern table). This statement is correct.

Statement (b): The d-block has 8 columns

Here's where the error lies. A d-subshell has five orbitals (corresponding to ml=−2,−1,0,+1,+2m_l = -2, -1, 0, +1, +2 when l=2l = 2). The maximum electron capacity is therefore 5×2=105 \times 2 = 10 electrons. The d-block spans 10 columns (groups 3–12), not 8. This statement is incorrect.

Watch out

A common confusion arises from the fact that transition metals often show a maximum oxidation state of +8 (like osmium in OsO4\text{OsO}_4), but this has nothing to do with the number of d-block columns. The block width is determined purely by orbital capacity.

Statement (c): Each block contains columns equal to electron capacity

Let's verify this systematically:

BlockOrbitalsMax electronsColumns in table
s122 (groups 1–2)

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