Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
mesmeric is an adjective meaning "attracting and holding interest as if by a spell". It carries one recorded sense.
attracting and holding interest as if by a spell
“read the bedtime story in a hypnotic voice”
“she had a warm mesmeric charm”
“the sheer force of his presence was mesmerizing”
“a spellbinding description of life in ancient Rome”
Definitions, synonyms and semantic relations for mesmeric come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.