Material for solid oxide fuel cell, cathode including the material, and solid oxide fuel cell including the same

A material for a solid oxide fuel cell including a compound of Chemical Formula 1: Chemical Formula 1 Ba a Sr b Co x Fe y M 1-x-y O 3-´ wherein M represents at least one of a transition metal element or a lanthanide element, a and the b are in a range of 0.4 ¤ a ¤ 0.6 and 0.4 ¤ b ¤ 0.6, respectively, x and y are in a range of 0.6 ¤ x ¤ 0.9, 0.1 ¤ y ¤ 0.4 and x+y < 1, respectively, and ´ is selected so that the compound of Chemical Formula 1 is electrically neutral.