In the film "Rasputin" with Alan Rickman, Sir Ian McKellen and others, Nicky says that Alexei will be "Alexander" as Emperor (in the German version, I don't know whether it is also in the English one).
I've heard that Alexei is a variation of Alexander, but there is one Tsar named Alexei (1645-1676) and there are three Alexanders - so, is it a mistake in the film?