Could anybody tell me please if there is a rule which may indicate us when to use "BROAD" and when to use  "WIDE? 

1st example: I know it is correct to say "broad daylight" but is it wrong to say "wide daylight"?  

2nd example: "world wide"  is correct, but what about, "world broad"?

3rd example: "Wide-awake" is correct, but could "broad-awake" be also  correct? 

Dictionaries are unable to explain this or if there is a rule. Can you help please?