Murmansk Oblast is the northernmost region of Northwestern Russia, on the Kola Peninsula, which borders Finland's Lapland to the west, Norway's Finnmark Region to the northwest, the Barents Sea to the north, the White Sea to the southeast, and Karelia to the south.
Murmansk Oblast is of interest to a tourist mostly for its novelty value—it is located in Russia's extreme north, above the Arctic Circle, and is relatively easy to get to from Saint Petersburg. The highlights of a Murmansk Oblast trip are certainly the capital itself and perhaps also an adventurous trip out to Kola. To heighten the novelty value of your trip, try to come around the summer Equinox, when the sun moves around the sky but never sets, or the winter Solstice, when the sun never rises and the city is plunged into blackness. The winter is cold, but it is also the best time to see the Northern Lights.
See Russian phrasebook.
There is also a long (about 28 hour) daily overnight train to Murmansk from Saint Petersburg, which leaves Piter around 18:00 and arrives the next day around 22:00. Trains also travel between Murmansk and Petrozavodsk.