d and f Block ElementshardNUMERICAL

Based on the profound effect of the lanthanide contraction, the experimentally established covalent d and f Block Elements Chemistry Question

Question

Based on the profound effect of the lanthanide contraction, the experimentally established covalent radius of Zirconium ($Zr$, $Z=40$) is exactly $160$ pm. What is the approximate, universally accepted corresponding atomic radius (in pm) for Hafnium ($Hf$, $Z=72$) to the nearest whole integer?

Answer: 159

💡 Solution & Explanation

Despite Hafnium possessing an entire extra electron shell (principal quantum number $n=6$) compared to Zirconium ($n=5$), the highly ineffective shielding provided by the $14$ fully occupied $4f$ orbitals in Hafnium allows the massive $+32$ increase in nuclear protons to shrink the atomic boundaries drastically. The resulting radius for $Hf$ is approximately $159$ pm, essentially identical to $Zr$ at $160$ pm.

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