antipathy vs cross-purpose

antipathy

noun
  • A feeling of dislike (normally towards someone, less often towards something); repugnance or distaste often without any conscious reasoning. 

  • Natural contrariety or incompatibility 

cross-purpose

noun
  • A contrary or conflicting purpose or understanding, especially an unintentional or misconceived one. 

How often have the words antipathy and cross-purpose occurred in a corpus of books? (source: Google Ngram Viewer )