longing vs unhopeful

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 

unhopeful

adj
  • Not hopeful. 

noun
  • Somebody who is unlikely to achieve success or victory. 

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