Arthas returns to the Undead-controlled regions of Lordaeron where three dreadlords loyal to the Burning Legion - Balnazzar, Detheroc, and Varimathras - rule. Arthas informs them of the Legion's defeat and retreat before declaring himself king. While purging the kingdom of the remnants of the Alliance aided by Sylvanas Windrunner and the Lich Kel'Thuzad, Arthas notices that his powers have diminished. The Lich King telepathically contacts Arthas and explains his loss of power is a result of Illidan's attacks, and summons him to defend the Frozen Throne. Arthas leaves for Northrend where he, with the help of the Lich King's minions, defeats Illidan in a duel. Arthas shatters the ice of the throne and dons the Lich King's helmet, thereby joining their souls and becoming the new Lich King. Meanwhile, in Lordaeron, Sylvanas is freed from the Lich King's control. With the help of Varimathras, she kills the remaining two dreadlords and Garithos and declares Lordaeron the home of the free undead, rechristened the "Forsaken".
Soon after, the Prince is sent back to the frozen wastelands, as per the orders of the Lich King of the North. According to the storyline, Illidan makes a deal with the Burning Legion to destroy the Lich King. In return, he wants a new homeland for the community, consisting of the Blood Elves and Naga.
The Frozen Throne (aka Throne Chamber or Lich King's Throne Chamber) was the receptacle of the soul of the Elder Shaman Ner'zhul following his transformation into the dreaded Lich King. Arthas climbed the steps of the throne on his way to the Lich King. After he shattered the top of the throne, the remnants now serve as the actual physical throne of the new Lich King created from the fusion of the souls of Arthas and Ner'zhul.
The exact description of the original Throne Chamber before its destruction has differed in four sources. In Warcraft III: The Frozen Throne, it was described as lying within the frozen peak at the center of the valley in Icecrown, and indeed we actually got to see said peak during the cutscene and the mission. The RPG describes it as sitting at the bottom of a rift made upon impact, conflicting with The Frozen Throne in that no "frozen peak" is mentioned. The novel Arthas: Rise of the Lich King implies that the Throne Chamber was deep inside a cavern within the Icecrown Glacier itself, which sat in the middle of a valley; a description that seems to have been an attempt to merge the previous two descriptions.
Therefore, given the details, it can be speculated that the "valley" is the rift itself, and that at the center there was a frozen mountain, inside which was a huge cavern with the Frozen Throne at the center. The mountain, which also boasted the infamous Icecrown Glacier, was then fortified by the fledgling Scourge and became the first Icecrown Citadel. This would account for the passage in "The Lich King Triumphant" where Arthas, after the merger and the Throne Chamber's collapse, "is rumored to be rebuilding the citadel of Icecrown."
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