1. 
2. 
[syn: fruitlessness, aridity, barrenness]
The Collaborative International Dictionary of English v.0.48:
Barrenness \Bar"ren*ness\, n.
   The condition of being barren; sterility; unproductiveness.
   [1913 Webster]
         A total barrenness of invention.         --Dryden.
   [1913 Webster]
WordNet (r) 3.0 (2006):
barrenness
    n 1: the state (usually of a woman) of having no children or
         being unable to have children
    2: the quality of yielding nothing of value [syn:
       fruitlessness, aridity, barrenness] [ant: fecundity,
       fruitfulness]
Bouvier's Law Dictionary, Revised 6th Ed (1856):
BARRENNESS. The incapacity to produce a child. This, when arising from
impotence, is a cause for dissolving a marriage. 1 Fodere, Med. Leg. Sec.
254.