per-

from the GNU version of the Collaborative International Dictionary of English.

• A prefix used to signify through, throughout, by, for, or as an intensive as perhaps, by hap or chance; perennial, that lasts throughout the year; perforce, through or by force; perfoliate, perforate; perspicuous, evident throughout or very evident; perplex, literally, to entangle very much.
• (Chem.) Originally, denoting that the element to the name of which it is prefixed in the respective compounds exercised its highest valence; now, only that the element has a higher valence than in other similar compounds; thus, barium peroxide is the highest oxide of barium; while nitrogen and manganese peroxides, so-called, are not the highest oxides of those elements.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• prefix non-productive In verbs: denoting the sense "through", as in perforate.
• prefix non-productive In verbs: denoting the sense "thoroughly", as in perfect.
• prefix non-productive In verbs: denoting the sense "to destruction", as in pervert.
• prefix non-productive In adjectives and adverbs: denoting the sense "extremely", as in perfervid.
• prefix chemistry Forming nouns and adjectives denoting the maximum proportion of one element in a compound, as in peroxide.
• prefix chemistry Added to the name of an element in a polyatomic ion denote the number of that element (usually four).
• prefix non-productive Denoting the sense "by" or "per", as in perchance or perhaps.