late 14c., dispersen, "to scatter, separate and send off or drive in different directions," from Latin dispersus, past participle of dispergere "to scatter," from dis- "apart, in every direction" (see dis-) + spargere "to scatter" (see sparse). The Latin word is glossed in Old English by tostregdan. Intransitive sense of "to separate and move apart in different directions without regularity" is from 1520s. Of clouds, fears, etc., "to dissipate," 1560s (transitive), 1590s (intransitive). Related: Dispersed; dispersing.
suffix forming nouns of action from verbs, mostly from Latin and French, meaning "act of ______ing" (such as survival, referral), Middle English -aille, from French feminine singular -aille, from Latin -alia, neuter plural of adjective suffix -alis, also used in English as a noun suffix. Nativized in English and used with Germanic verbs (as in bestowal, betrothal).