noun (n)

• the state (usually of a woman) of having no children or being unable to have children(noun.state)

  source: wordnet30
• the quality of yielding nothing of value(noun.attribute)

  Synonym:
  aridity, fruitlessness
  Antonym:
  fecundity, fruitfulness
  

  source: wordnet30
• The condition of being barren; sterility; unproductiveness.(noun)

  source: webster1913