Nucleation　of　ice　embryos　on　a　planner,　a　convex　surface　and　a　concave　surface　are　calculated,　compared　and　analyzed　systematically.　The　nucleation　on　a　convex　surface　is　harder,　while　the　nucleation　on　a　concave　surface　is　relatively　easier.　When　the　ratio　of　the　size　of　the　foreign　nucleus　to　the　size　of　the　critical　nucleus　of　the　new　phase　is　larger　than　10,　there　is　no　difference　for　different　heterogeneous　nucleation　types　of　ice　embryos.　If　significant　influences　on　nucleation　are　expected　of　foreign　surface　characteristics,　the　above　ratio　should　varies　within　the　range　0　to　1.　The　experimental　results　show　that,　when　there　are　no　observable　water　drops　develop　at　the　early　stage　of　frost　formation,　the　hydrophobic　surfaces　have　no　anti-frosting　performance.　©　2019,　Science　Press.　All　right　reserved.