The night of the crime / The crime night

[ErinTexTrem]

In a summary of a short story, one of my students wrote "the crime night" when he meant to say "the night of the crime," but I'm having a hard time explaining why it's wrong.

I feel like we can say "on test day" (the day the test will take place), "on premier day" for a movie premier, "on invasion day" (but I'm not sure about "on the invasion day"...). Does it have to do with whether the event is planned? Repeated? Historical?

If anyone can give me the rules for this, I'd appreciate it. Thank you!