This has come up in discussing this question.
Originally I used the name "the RF" in the title because I was choosing between "the RF" and "the Russian Federation" and I thought that a longer title would look too awkward.
I didn't want to use "Russia" because it just felt too familiar. And when discussing legal issues (as this question was) familiarity seemed out of place.
Someone suggested that they had difficulty figuring out what RF was. But if such a difficulty was present, it was hard to explain given that
- the question was tagged "russian-federation" and
- the fact the question body used "Russia" and "the RF" interchangeably.
I think in general any one of the 3 names is an acceptable form of referring to The Russian Federation.
It maybe possible that some people haven't gotten used to the more formal usage. This should still be an author's choice unless there is a very compelling case that it's ambiguous in the context in which the name is used. Such a compelling case could not be made here for the reasons above.