The Chicago Manual Style (CMS) is used in the humanities, social sciences, and sciences. There are two styles with slightly different formatting included as part of CMS: author-date and notes and bibliography. Author-date uses in-text parenthetical citations with the author's last name and publication date, whereas notes and bibliography uses footnotes for citation information. Check with your instructor to learn which they prefer you use.
Purdue OWL (Notes and Bibliography): Chicago Style Citation Guide
CMS (Notes and Bibliography): Chicago Manual Style Notes and Bibliography Guide
CMS Author-Date: Chicago Manual Style Author-Date Guide