Can sulfur participate in a hydrogen bond?

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Nope. Only F, O, and N. An argument can be made that sulfur is in the same family as oxygen, but that argument doesn't apply to electronegativity (the main periodic trend involved in H-bonding) because electronegativity tends to decrease down a column.
 
If you're wanting to look at primary literature, non-classical hydrogen bonds (NCHB's) exist as well, but this is making a simple concept overly complicated.

For the MCAT, only FON's can hydrogen bond. End of story.
 
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