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JEE Mains Chemistry · The p-Block Elements

Group 13: Periodic Trends and the Inert Pair Effect

Boron, aluminium, gallium, indium and thallium (ns² np¹) grow down the group with one break at gallium, and the heavier ones keep their s² pair, so thallium prefers +1 to +3.

Why this matters

Twenty-five PYQs, all multiple choice, and three from 2026. Nine test the trends in atomic and ionic radius, ionisation enthalpy, electronegativity and density; seven ask about boron's hard B₁₂ lattice, gallium's long liquid range and the uses of the elements; nine turn on the inert pair effect, from the stability of Tl⁺ to TlI₃, GaAlCl₄ and the most basic oxide.

Concept 2 of 3: Group 13 melting points, boron's lattice and gallium's liquid range

Boron is a non-metal. Its atoms form B₁₂ icosahedra linked into a giant covalent network, so boron is very hard and melts far above the others. The rest are metals. Gallium is the odd one: it melts at 303 K, just above room temperature, yet boils near 2676 K. No other element stays liquid over so wide a range, which is why gallium fills thermometers for high temperatures.

Definition

  • Boron: black, very hard, icosahedral B12\mathrm{B_{12}} units in a strong covalent lattice; highest melting and boiling points in the group.
  • Boron isotopes: 10B\mathrm{^{10}B} about 19% and 11B\mathrm{^{11}B} about 81%; the abundant one has 6 neutrons.
  • Amorphous boron burns in air to B2O3\mathrm{B_2O_3}, with boron at +3.
  • Melting points: B>Al>Tl>In>Ga\mathrm{B > Al > Tl > In > Ga}. Gallium's low value comes from its unusual structure of Ga2\mathrm{Ga_2} pairs.
  • Gallium thermometers measure high temperatures. Gallium freezes at 303 K, so it cannot read temperatures below that.
  • Uses: boron fibres in bullet-proof vests and light composites for aircraft; 10B\mathrm{^{10}B} absorbs neutrons in nuclear control rods; aluminium in alloys, wires and packaging.
ElementMelting point (K)Boiling point (K)Density (g/cm³)What to remember
B245339232.35Giant covalent B12\mathrm{B_{12}} network: very hard, highest melting point
Al93327402.70Light metal; made passive by concentrated HNO3\mathrm{HNO_3}, which coats it with oxide
Ga30326765.90Liquid from 303 K to 2676 K, the widest liquid range; used in high-temperature thermometers
The lowest melting point in the group, and still a liquid in boiling water.
In43023537.31Soft metal that melts above gallium
Tl576173011.85The densest member of the group
Melting points fall from boron to gallium and then rise a little: B > Al > Tl > In > Ga.
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

JEE Mains · 2024 · 27 Jan 2024 · Q43Moderate

Example 2 · The p-Block Elements · Group 13: Periodic Trends and the Inert Pair Effect

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Melting point of Boron (2453 K) is unusually high in group 13 elements. Reason (R): Solid Boron has very strong crystalline lattice. In the light of the above statements, choose the most appropriate answer from the options given below;

Gallium thermometers are for HIGH temperatures

Gallium is useful in thermometers because it stays liquid up to about 2676 K. It freezes at 303 K, so a gallium thermometer cannot measure a low temperature such as the freezing point of brine.

Boron's hardness is not metallic bonding

Boron is a non-metal. Its high melting point and hardness come from a giant covalent network of B12\mathrm{B_{12}} icosahedra, not from metallic bonds.

Concept 3 of 3: The inert pair effect in group 13: Tl⁺ is more stable than Tl³⁺

To reach +3 an atom must use both its s electrons and its p electron. Down the group the s pair is held more tightly, because the d and f electrons below it shield poorly, so the heavy elements prefer to keep it and show +1. The +1 state grows more stable from aluminium to thallium. For thallium, +1 is the stable state, so Tl3+\mathrm{Tl^{3+}} grabs two electrons to become Tl+\mathrm{Tl^{+}}: it is a strong oxidising agent. For aluminium, +3 is the only stable state, and Al3+\mathrm{Al^{3+}} is very hard to reduce.

Definition

  • Stability of +1: Al<Ga<In<Tl\mathrm{Al < Ga < In < Tl}. For Tl, +1 is more stable than +3.
  • Tl3+\mathrm{Tl^{3+}} is a powerful oxidising agent; Al3+\mathrm{Al^{3+}} is not easily reduced. Al3+\mathrm{Al^{3+}} and Tl+\mathrm{Tl^{+}} are both stable.
  • Boron has a very high sum of first three ionisation enthalpies, so it forms only covalent compounds; aluminium forms Al3+\mathrm{Al^{3+}} and is strongly electropositive.
  • TlI3\mathrm{TlI_3} is Tl+[I3]−\mathrm{Tl^{+}[I_3]^{-}}, like CsI3\mathrm{CsI_3}: thallium is +1, because Tl3+\mathrm{Tl^{3+}} would oxidise iodide.
  • GaAlCl4\mathrm{GaAlCl_4} is Ga+[AlCl4]−\mathrm{Ga^{+}[AlCl_4]^{-}}: gallium is +1 and is the cation; every Cl is bonded to Al.
  • Oxides M2O3\mathrm{M_2O_3}: B2O3\mathrm{B_2O_3} acidic, Al2O3\mathrm{Al_2O_3} and Ga2O3\mathrm{Ga_2O_3} amphoteric, In2O3\mathrm{In_2O_3} and Tl2O3\mathrm{Tl_2O_3} basic.
ElementMore stable oxidation stateE° for M³⁺ reduction (V)How M³⁺ behaves
Al+3 only−1.66-1.66 (Al3+/Al\mathrm{Al^{3+}/Al})Very stable; hard to reduce
Ga+3−0.56-0.56 (Ga3+/Ga\mathrm{Ga^{3+}/Ga})Stable; +1 appears only in salts such as GaAlCl4\mathrm{GaAlCl_4}
In+3−0.34-0.34 (In3+/In\mathrm{In^{3+}/In})Stable; In+\mathrm{In^{+}} is easily oxidised back to +3
Tl+1+1.26+1.26 (Tl3+\mathrm{Tl^{3+}} reduced to Tl+\mathrm{Tl^{+}})Strong oxidising agent
The positive potential is the inert pair effect in numbers: Tl³⁺ is eager to become Tl⁺.
A more positive reduction potential means the ion is more easily reduced, so a stronger oxidising agent.
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

JEE Mains · 2025 · 7 Apr 2025 · Q118Moderate

Example 3 · The p-Block Elements · Group 13: Periodic Trends and the Inert Pair Effect

The correct statements from the following are : (A) Tl3+{Tl}^{3 +} is a powerful oxidising agent (B) Al3+{Al}^{3 +} does not get reduced easily (C) Both Al3+{Al}^{3 +} and Tl3+{Tl}^{3 +} are very stable in solution (D) Tl+{Tl}^{+}is more stable than Tl3+{Tl}^{3 +} (E) Al3+{Al}^{3 +} and Tl+{Tl}^{+}are highly stable Choose the correct answer from the options given below :

Not every group 13 element has a stable +1 state

The +1 state becomes important only for the heavier elements and is truly stable only for thallium. Boron and aluminium show +3; a statement that all group 13 elements show a highly stable +1 state is false.

TlI₃ is not thallium(III) iodide

Thallium in TlI3\mathrm{TlI_3} is +1. The compound is Tl+\mathrm{Tl^{+}} with the tri-iodide ion I3−\mathrm{I_3^{-}}, because Tl3+\mathrm{Tl^{3+}} is a strong enough oxidant to turn iodide into iodine.

In GaAlCl₄, gallium is +1

The salt is Ga+[AlCl4]−\mathrm{Ga^{+}[AlCl_4]^{-}}. All four chlorines surround aluminium; gallium is the separate cation. Giving gallium +3 would leave the formula unbalanced.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Reference tables (3)

Group 13 trends in radius, ionisation enthalpy and electronegativity5 rows
ElementAtomic radius (pm)M³⁺ radius (pm)First ionisation enthalpy (kJ/mol)Electronegativity
B85278012.0
Al14353.55771.5
Ga13562.05791.6
Smaller than Al and with a slightly higher ionisation enthalpy: poor shielding by 3d electrons.
In16780.05581.7
Tl17088.55891.8
NCERT values. Read each column on its own: the atomic radius dips at Ga, the M³⁺ radius does not, and the ionisation enthalpy is lowest at In, not Tl.
Group 13 melting points, boron's lattice and gallium's liquid range5 rows
ElementMelting point (K)Boiling point (K)Density (g/cm³)What to remember
B245339232.35Giant covalent B12\mathrm{B_{12}} network: very hard, highest melting point
Al93327402.70Light metal; made passive by concentrated HNO3\mathrm{HNO_3}, which coats it with oxide
Ga30326765.90Liquid from 303 K to 2676 K, the widest liquid range; used in high-temperature thermometers
The lowest melting point in the group, and still a liquid in boiling water.
In43023537.31Soft metal that melts above gallium
Tl576173011.85The densest member of the group
Melting points fall from boron to gallium and then rise a little: B > Al > Tl > In > Ga.
The inert pair effect in group 13: Tl⁺ is more stable than Tl³⁺4 rows
ElementMore stable oxidation stateE° for M³⁺ reduction (V)How M³⁺ behaves
Al+3 only−1.66-1.66 (Al3+/Al\mathrm{Al^{3+}/Al})Very stable; hard to reduce
Ga+3−0.56-0.56 (Ga3+/Ga\mathrm{Ga^{3+}/Ga})Stable; +1 appears only in salts such as GaAlCl4\mathrm{GaAlCl_4}
In+3−0.34-0.34 (In3+/In\mathrm{In^{3+}/In})Stable; In+\mathrm{In^{+}} is easily oxidised back to +3
Tl+1+1.26+1.26 (Tl3+\mathrm{Tl^{3+}} reduced to Tl+\mathrm{Tl^{+}})Strong oxidising agent
The positive potential is the inert pair effect in numbers: Tl³⁺ is eager to become Tl⁺.
A more positive reduction potential means the ion is more easily reduced, so a stronger oxidising agent.

Watch out for (8)

Test yourself on The p-Block Elements

20 past JEE Mains questions from this chapter, timed at 48 minutes and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.