Related Formula
Group 13 elements (B, Al, Ga, In, Tl$\mathrm{B}, \mathrm{Al}, \mathrm{Ga}, \mathrm{In}, \mathrm{Tl}$) show highly anomalous periodic trends due to the intervention of filled d-orbitals (d-block contraction in Ga$\mathrm{Ga}$) and f-orbitals (lanthanoid contraction in Tl$\mathrm{Tl}$).
Core Logic
Evaluate each specified trend against official physical constants:
- Atomic radius: Due to d-block contraction, gallium (Ga$\mathrm{Ga}$) is smaller than aluminum (Al$\mathrm{Al}$):
Radius (pm): B(88) < Ga(135) < Al(143) < In(167) < Tl(170)$$\text{Radius (pm): } \mathrm{B}(88) < \mathrm{Ga}(135) < \mathrm{Al}(143) < \mathrm{In}(167) < \mathrm{Tl}(170)$$
Hence, the given order is Incorrect.
- Electronegativity: Electronegativity first decreases from B$\mathrm{B}$ to Al$\mathrm{Al}$, then increases down the group due to poor shielding of d and f electrons:
Electronegativity: Al(1.5) < Ga(1.6) < In(1.7) < Tl(1.8) < B(2.0)$$\text{Electronegativity: } \mathrm{Al}(1.5) < \mathrm{Ga}(1.6) < \mathrm{In}(1.7) < \mathrm{Tl}(1.8) < \mathrm{B}(2.0)$$
Hence, this order is Correct.
Step 1: Analyze density and ionization energy trends
- Density: Increases down the group as atomic mass increases much faster than atomic volume:
Density (g/cm³): B(2.35) < Al(2.70) < Ga(5.90) < In(7.31) < Tl(11.85)$$\text{Density (g/cm}^3\text{): } \mathrm{B}(2.35) < \mathrm{Al}(2.70) < \mathrm{Ga}(5.90) < \mathrm{In}(7.31) < \mathrm{Tl}(11.85)$$
Hence, the given order is Incorrect (it is completely reversed).
- 1st$1^{\mathrm{st}}$ Ionisation Energy: Shows an irregular trend due to ineffective shielding by d and f electrons:
IE₁~(kJ/mol): In(558) < Al(577) < Ga(579) < Tl(589) < B(801)$$\text{IE}_1\mathrm{~(kJ/mol): } \mathrm{In}(558) < \mathrm{Al}(577) < \mathrm{Ga}(579) < \mathrm{Tl}(589) < \mathrm{B}(801)$$
Hence, this order is Correct.
Step 2: Conclusion
Only the Electronegativity (B) and 1st$1^{\mathrm{st}}$ Ionisation Energy (D) orders are correct, matching Option (1).
Pattern Recognition
Group 13 elements do not follow monotonic trends. The poor shielding of 3d¹⁰$3d^{10}$ and 4f¹⁴$4f^{14}$ electrons increases the effective nuclear charge on valence electrons, causing anomalies in atomic radius (Ga < Al$\mathrm{Ga} < \mathrm{Al}$) and pulling electronegativities and ionization energies upward as you go further down.
Chapter Mix
Class 11 Chemistry: The p-Block Elements
Class 11 Chemistry: Classification of Elements and Periodicity in Properties