Atomic Ionic Radii

8 MCQs9-step worked example
Source: NCERT Classification of Elements and Periodicity in PropertiesPYQ coverage: NEET 2021, 2024Official key: NTA-verifiedLast reviewed: May 2026

Lesson

The trap you need to fix: When asked to arrange elements by atomic radius across a period, students include the noble gas and wonder why the "decreasing trend" breaks. It breaks because the noble gas radius reported in data tables is a van der Waals radius — measured from non-bonded contact distances — while every other element's radius is covalent (half the internuclear distance in a bonded pair). Comparing the two is like comparing shoe sizes measured in different systems.

The core concept (NCERT Class 11 Chemistry, Chapter 3, page 12):

Atomic radius is not a sharply defined quantity. Two operational definitions matter for NEET:

  1. Covalent radius — half the bond length in a homonuclear diatomic (e.g., Cl₂). Used for elements that form covalent bonds.
  2. Van der Waals radius — half the contact distance between nuclei of adjacent non-bonded atoms in a crystal. Always larger than covalent radius for the same element.

Noble gases (He, Ne, Ar…) don't form conventional covalent bonds under normal conditions. Their radii are van der Waals only.

Periodic trend — same radius type only:

  • Across a period (left → right): covalent radius decreases (increasing Z_eff, electrons pulled closer).
  • Down a group: covalent radius increases (new shell added, shielding increases).

Ionic radii — quick rules:

  • Cation < parent atom (lost electron, same nuclear charge pulls remaining electrons tighter).
  • Anion > parent atom (gained electron, increased repulsion expands the cloud).
  • Isoelectronic series (same electron count): radius decreases as nuclear charge increases. Example: O²⁻ > F⁻ > Na⁺ > Mg²⁺ > Al³⁺ (all 10 electrons; Z increases from 8 to 13).

Watch-out for NEET: Any question asking you to compare atomic radii across a full period — check whether a noble gas is in the list. If yes, the comparison is invalid unless they specify the same radius type.


Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

Which of the following correctly represents the trend in covalent radius across Period 3 (Na to Cl)?

MCQ 2Direct ApplicationPractice

Argon's atomic radius listed in data tables is larger than chlorine's. The correct explanation is:

MCQ 3Direct ApplicationPractice

Among the following isoelectronic species (10 electrons each), which has the smallest ionic radius?

MCQ 4Easy RecallPractice

A cation is always smaller than its parent atom because:

MCQ 5Easy RecallPractice

Which of the following statements about van der Waals radius is correct?

MCQ 6Direct ApplicationPractice

In the isoelectronic pair N³⁻ and F⁻ (both with 10 electrons), which has the larger ionic radius and why?

MCQ 7CalculationPractice

Consider the species: Ne, Na⁺, and F⁻. All have 10 electrons. The correct order of their radii is:

MCQ 8Concept TrapPractice

An element X in Period 2 has a covalent radius of 77 pm. It forms an anion X⁴⁻. Compared to the neutral atom, the anion's radius will be:

Worked Example

  1. 1

    Given

    Five isoelectronic species, each with 10 electrons: - N³⁻ (Z = 7) - O²⁻ (Z = 8) - F⁻ (Z = 9) - Na⁺ (Z = 11) - Mg²⁺ (Z = 12)

  2. 2

    Required

    Arrange in order of increasing ionic radius.

  3. 3

    Concept

    In an isoelectronic series, all species have the same number of electrons. The species with the highest nuclear charge (Z) pulls the electron cloud most tightly → smallest radius. Radius decreases as Z increases.

  4. 4

    Formula

    No formula needed — this is a direct application of the isoelectronic radius rule: for constant electron count, radius ∝ 1/Z (qualitative inverse relationship).

  5. 5

    Substitution

    Order by increasing Z: N³⁻ (7) < O²⁻ (8) < F⁻ (9) < Na⁺ (11) < Mg²⁺ (12). Since radius decreases with increasing Z, the radius order is the reverse.

  6. 6

    Calculation

    Increasing radius = decreasing Z order: Mg²⁺ < Na⁺ < F⁻ < O²⁻ < N³⁻ Published values (pm): Mg²⁺ (72) < Na⁺ (95) < F⁻ (136) < O²⁻ (140) < N³⁻ (146).

  7. 7

    Final answer

    Order of increasing ionic radius: **Mg²⁺ < Na⁺ < F⁻ < O²⁻ < N³⁻** Note: Z values are exact integers (counting numbers) and do not affect any precision consideration.

  8. 8

    Common trap

    Students sometimes include Ne (Z = 10) in this series. But Ne's reported radius is van der Waals, not ionic — mixing radius types gives a misleading comparison (Trap: trap: atomic radius inert gas applied to the isoelectronic context).

  9. 9

    Similar NEET-style question

    "Arrange the following isoelectronic species in order of decreasing radius: Al³⁺, Na⁺, F⁻, O²⁻, N³⁻." (Same principle — order by increasing Z to get decreasing radius.) ---

Before solving, remember these

Across period: atomic radius decreases (effective nuclear charge increases). Down group: atomic radius increases (additional shells). Cation < neutral atom < anion (for same element).

-- NCERT Class 11 Chemistry, Ch. 3, p. 12

Formulas

Ionization energy of hydrogen-like atom

Energy required to ionize an electron from the n-th shell of hydrogen-like atom.

SymbolQuantitySI Unit
Znuclear charge-
nquantum number-

Valid when

  • One-electron atom
  • Non-relativistic

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Inorganic Exception

Student includes inert-gas radius in atomic-radius trends. But inert gases use van der Waals radius (much larger than covalent), making 'monotonic decrease across period' look broken.

When it triggers

Atomic radius comparison includes a noble gas or trends across period 2/3.

How to avoid

Compare like with like: covalent radii for non-noble gases. Noble gas radii are van der Waals (no covalent bond). Don't compare noble-gas radius directly to halogen.

Category: Inorganic Exception

Student expects monotonic increase in IE across period. Anomalies: Be(s²) > B(s²p¹); N(p³ half-filled) > O(p⁴).

When it triggers

Compare IE values across period 2 (Li, Be, B, C, N, O, F).

How to avoid

Be > B (s² stable; B's p¹ easier to remove). N > O (N has p³ half-filled stability; O loses one to attain p³). Memorise these two anomalies.

Past Year Questions

3 questions from NEET 2021, 2024. Answers verified against NTA official keys.

How NEET usually asks this

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

Sources

NCERT refs: Class 11 Chemistry Chapter 3, p.12

Test yourself on this topic with real past-paper questions:

Practice this topic →

Free NEET study resources

Get a structured 30-day study plan and a complete formula booklet — delivered to your inbox instantly.