inflexibleness vs rigidity

inflexibleness

noun
  • The quality or state of being inflexible 

  • Obstinacy of will or temper; firmness of purpose that will not yield to importunity or persuasion; unbending pertinacity. 

rigidity

noun
  • The quality or state of being rigid; lack of pliability; the quality of resisting change of physical shape 

  • stickiness (of prices/wages etc.). Describing the tendency of prices and money wages to adjust to changes in the economy with a certain delay. 

  • Stiffness of appearance or manner; want of ease or elegance. 

  • The amount of resistance with which a body opposes change of form. 

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