The Baronetcy of An Iméallean na nCháteair is a baronetcy in the Rockallic Federal District in Rockall, a member nation of the Seafaring Confederation. It is one of five baronetcies that together form the city of An Bhá nan Éirith Ghréine; the others are An Bhá nan Éirith Ghréine, Crannchóiste, Iònnegéadhna and Léacheannelochián. It is is the smallest baronetcy in area and the second smallest in population size, with 499,989 inhabitants.