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The Collaborative International Dictionary
efficience

efficience \ef*fi"cience\ ([e^]f*f[i^]sh"ens), efficiency \ef*fi"cien*cy\ ([e^]f*f[i^]sh"en*s[y^]), n. [L. efficientia.]

  1. The quality of being efficient or producing an effect or effects; efficient power; effectual agency.

    The manner of this divine efficiency being far above us.
    --Hooker.

  2. (Mech.) The ratio of useful work to energy expended.
    --Rankine.

    efficiency of a heat engine, the ratio of the work done by an engine, to the work due to the heat supplied to it.

Wiktionary
efficience

n. (archaic form of efficiency English)