'non-amide-bonded' is formed in English by the negative prefix 'non-' (from Latin 'non', meaning 'not'), combined with 'amide' (the chemical term 'amide') and the past-participle/adjectival element '-bonded' (from 'bond', meaning a tie or linkage).

'amide' entered chemical vocabulary from French 'amide' (19th century), ultimately related to New Latin terms derived from 'ammonia'; 'bond' is an older Germanic word denoting a tie or joining and became used in chemistry to mean a chemical linkage. The prefix 'non-' derives from Latin 'non' and has long been used in English to form negatives.

Individually, 'non-' has consistently meant 'not'; 'amide' originally referred to derivatives related to ammonia and came to denote a specific chemical group (—CONH—); 'bond' meant a joining or tie and in chemistry came to mean a covalent linkage. Combined, the compound now specifically describes entities not connected by amide (peptide-like) linkages.