You Do Need power plug adapter while traveling from Martinique to Vatican City.

Here is Why You Need An Adapter

The outlet and plug type used in Vatican City are C, F and L and in Martinique are C, D and E. This is how they look like.

Martinique

In Martinique, outlets of type C, D and E are in use.

Type C

Type D

Type E

Vatican City

In Vatican City, outlets of type C, F and L are in use.

Type C

Type F

Type L