nullity vs vacancy

nullity

noun
  • The state of being null, or void, or invalid. 

  • The difference between the rank of a matrix and the number of columns it has; the dimension of the nullspace of a matrix. 

  • A void act; a defective proceeding or one expressly declared by statute to be a nullity. 

vacancy

noun
  • Empty space. 

  • An available room in a hotel; guest house, etc. 

  • An unoccupied position or job. 

  • Lack of intelligence or understanding. 

  • A blank mind, unoccupied with thought. 

  • A defect in a crystal caused by the absence of an atom in a lattice 

How often have the words nullity and vacancy occurred in a corpus of books? (source: Google Ngram Viewer )