Which specific orbital shape allows for the complexity seen in coordination chemistry, like that in hemoglobin?
$d$ orbitals
The complexity of coordination chemistry, particularly involving transition metals like iron in hemoglobin, relies heavily on the unique characteristics of the $d$ orbitals. These orbitals, which typically number five per energy level ($n \ge 3$) and possess intricate shapes (often resembling four-leaf clovers), allow for more varied spatial interactions and geometric arrangements around a central metal atom compared to the simpler $s$ or $p$ orbitals. This precise spatial orientation, determined by the structure of the $d$ orbitals, is crucial for the function of hemoglobin, enabling it to pick up and release oxygen effectively through the precise electronic configuration of its central iron atom.

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