Q.Which of the following species will have the largest and the smallest size? .
The key idea is that cationic size decreases sharply with increasing positive charge, while neutral atoms are larger. Among , , , and , the largest species is the neutral atom and the smallest is the ion.
Why this approach works
The size of an atom or ion depends on two competing factors: the number of electron shells (principal quantum number ) and the effective nuclear charge () pulling those electrons inward.
For neutral atoms in the same period, size decreases left to right because increases. But when an atom loses electrons to form a cation, two things happen:
- The electron count drops, often removing an entire shell.
- The remaining electrons feel a stronger pull from the same nucleus (fewer electrons to shield each other).
So cations are always smaller than their parent atoms. And among cations with the same number of electrons (isoelectronic species), the one with the higher nuclear charge is smaller.
Here, we have two neutral atoms (, ) and two cations (, ). Let’s compare them systematically.
Step-by-step reasoning
1. Locate the elements in the periodic table.
(atomic number 12) and (atomic number 13) are in the third period. is in group 2, in group 13.
2. Compare the neutral atoms: vs .
Across a period, atomic radius decreases as nuclear charge increases. has one more proton than , so its electrons are pulled in slightly tighter.
Thus: (neutral) > (neutral) in size.
3. Compare the cations: vs .
has the electron configuration of neon (), with 10 electrons and 12 protons.
also has the neon configuration, with 10 electrons but 13 protons.
These two ions are isoelectronic — same number of electrons, same shells. The ion with the larger nuclear charge () pulls the same electron cloud more strongly, so it is smaller.
Thus: > in size.
4. Compare neutral atoms with their own cations.
When loses two electrons to become , it loses its entire third shell (). The ion has only two shells (), so it is dramatically smaller than the neutral atom.
Similarly, is much smaller than neutral .
So the ordering from largest to smallest is:
(neutral) > (neutral) > > .
A common mistake is to think is larger than because aluminium has more protons. Actually, more protons decrease size across a period. Another pitfall: assuming is larger than because magnesium is below aluminium in the periodic table — but here they are isoelectronic, so nuclear charge decides.
5. Confirm the extremes.
- Largest: (neutral, two shells more than its cation).
- Smallest: (highest charge, same electron count as but more protons).
The largest species is and the smallest is .
Unlock everything free for 14 days
- Full step-by-step solutions
- Concept-first explanations
- Methods, shortcuts & mistakes
- PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.