lagophthalmia

from The Century Dictionary.

• noun Inability to close the eye, resulting from paralysis, spasm, or local injury: so called from the supposition that in its natural condition the eye of the hare when asleep is affected with such inability. Also lagophthalmus.

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

• noun (Med.) A morbid condition in which the eye stands wide open, giving a peculiar staring appearance.

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

• noun medicine A morbid condition in which the eye stands wide open, giving a peculiar staring appearance.