hoar frost vs permafrost

hoar frost

noun
  • Originally, any frozen dew forming a white deposit on exposed surfaces. 

  • Water vapour which has undergone deposition or desublimation (“transformation directly into ice crystals without first turning into liquid water”) when the air is cold and moist to form a white deposit on exposed surfaces. 

permafrost

noun
  • Permanently frozen ground, or a specific layer thereof. 

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