It's actually because oxygen has two lone pairs, while nitrogen has just one. Those lone pairs repel the bonded atoms more strongly, squeezing the H-O-H bonds tighter than the H-N-H ones.
In my world, modeling drug interactions, these precise angles determine how a molecule fits into a protein’s active site—like a key. A few degrees can change binding affinity completely. So I see these numbers not as abstract facts, but as the reason one compound works and another doesn’t. My whole day is chasing the consequence of a bent angle.
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