ache vs longing

ache

verb
  • To cause someone or something to suffer pain. 

  • To suffer pain; to be the source of, or be in, pain, especially continued dull pain; to be distressed. 

noun
  • Continued dull pain, as distinguished from sudden twinges, or spasmodic pain. 

longing

noun
  • An earnest and deep, not greatly passionate, but rather melancholic desire. 

  • The buying of a financial instrument with the expectation that its value will rise 

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