Y4ZrMn5O15 crystallizes in the triclinic P1 space group. There are eight inequivalent Y sites. In the first Y site, Y(1) is bonded in a distorted body-centered cubic geometry to one O(13), one O(14), one O(15), one O(22), one O(26), one O(3), one O(4), and one O(5) atom. In the second Y site, Y(2) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(14), one O(2), one O(27), one O(3), and one O(4) atom. In the third Y site, Y(3) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(2), one O(24), and one O(3) atom. In the fourth Y site, Y(4) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(15), one O(2), one O(25), and one O(5) atom. In the fifth Y site, Y(5) is bonded in a distorted body-centered cubic geometry to one O(10), one O(16), one O(17), one O(20), one O(21), one O(29), one O(6), and one O(7) atom. In the sixth Y site, Y(6) is bonded in a 7-coordinate geometry to one O(10), one O(16), one O(19), one O(20), one O(22), one O(6), and one O(9) atom. In the seventh Y site, Y(7) is bonded in a 7-coordinate geometry to one O(17), one O(18), one O(19), one O(27), one O(7), one O(8), and one O(9) atom. In the eighth Y site, Y(8) is bonded to one O(16), one O(17), one O(18), one O(28), one O(6), one O(7), and one O(8) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one Mn(1)O5 trigonal bipyramid,  an edgeedge with one Mn(2)O5 trigonal bipyramid, and  an edgeedge with one Mn(3)O5 trigonal bipyramid. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(11), one O(14), one O(15), one O(30), one O(4), and one O(5) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  an edgeedge with one Mn(1)O5 trigonal bipyramid,  an edgeedge with one Mn(4)O5 trigonal bipyramid, and  an edgeedge with one Mn(5)O5 trigonal bipyramid. In the second Zr site, Zr(2) is bonded to one O(10), one O(18), one O(19), one O(20), one O(23), one O(8), and one O(9) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Mn(3)O5 trigonal bipyramid,  a cornercorner with one Mn(4)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid,  an edgeedge with one Y(8)O7 pentagonal bipyramid,  an edgeedge with one Mn(10)O5 trigonal bipyramid,  an edgeedge with one Mn(8)O5 trigonal bipyramid, and  an edgeedge with one Mn(9)O5 trigonal bipyramid. There are ten inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(16), one O(28), one O(29), and one O(30) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(3)O5 trigonal bipyramid,  a cornercorner with one Mn(4)O5 trigonal bipyramid, corners with two equivalent Mn(2)O5 trigonal bipyramids, corners with two equivalent Mn(5)O5 trigonal bipyramids,  an edgeedge with one Y(8)O7 pentagonal bipyramid, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. In the second Mn site, Mn(2) is bonded to one O(17), one O(2), one O(27), one O(28), and one O(29) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(4)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid, corners with two equivalent Mn(1)O5 trigonal bipyramids, corners with two equivalent Mn(3)O5 trigonal bipyramids, and  an edgeedge with one Y(8)O7 pentagonal bipyramid. In the third Mn site, Mn(3) is bonded to one O(18), one O(26), one O(27), one O(28), and one O(3) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid, corners with two equivalent Mn(2)O5 trigonal bipyramids, corners with two equivalent Mn(4)O5 trigonal bipyramids, and  an edgeedge with one Y(8)O7 pentagonal bipyramid. In the fourth Mn site, Mn(4) is bonded to one O(19), one O(26), one O(27), one O(30), and one O(4) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(2)O5 trigonal bipyramid, corners with two equivalent Mn(3)O5 trigonal bipyramids, corners with two equivalent Mn(5)O5 trigonal bipyramids, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. In the fifth Mn site, Mn(5) is bonded to one O(20), one O(26), one O(29), one O(30), and one O(5) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(2)O5 trigonal bipyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, corners with two equivalent Mn(1)O5 trigonal bipyramids, corners with two equivalent Mn(4)O5 trigonal bipyramids, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. In the sixth Mn site, Mn(6) is bonded to one O(15), one O(21), one O(22), one O(25), and one O(6) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid,  a cornercorner with one Mn(9)O5 trigonal bipyramid, corners with two equivalent Mn(10)O5 trigonal bipyramids, and corners with two equivalent Mn(7)O5 trigonal bipyramids. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(21), one O(24), one O(25), and one O(7) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(9)O5 trigonal bipyramid, corners with two equivalent Mn(6)O5 trigonal bipyramids, and corners with two equivalent Mn(8)O5 trigonal bipyramids. In the eighth Mn site, Mn(8) is bonded to one O(12), one O(23), one O(24), one O(25), and one O(8) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(6)O5 trigonal bipyramid, corners with two equivalent Mn(7)O5 trigonal bipyramids, corners with two equivalent Mn(9)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. In the ninth Mn site, Mn(9) is bonded to one O(13), one O(22), one O(23), one O(24), and one O(9) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid, corners with two equivalent Mn(10)O5 trigonal bipyramids, corners with two equivalent Mn(8)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. In the tenth Mn site, Mn(10) is bonded to one O(10), one O(14), one O(21), one O(22), and one O(23) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid, corners with two equivalent Mn(6)O5 trigonal bipyramids, corners with two equivalent Mn(9)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. There are thirty inequivalent O sites. In the first O site, O(1) is bonded to one Y(3), one Y(4), one Zr(1), and one Mn(1) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(5)Y2ZrMn tetrahedra, corners with two equivalent O(2)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the second O site, O(2) is bonded to one Y(2), one Y(3), one Y(4), and one Mn(2) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(1)Y2ZrMn tetrahedra, corners with two equivalent O(3)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra, and  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid. In the third O site, O(3) is bonded to one Y(1), one Y(2), one Y(3), and one Mn(3) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra, corners with two equivalent O(4)Y2ZrMn tetrahedra, corners with two equivalent O(2)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(26)YMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(1), one Y(2), one Zr(1), and one Mn(4) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(5)Y2ZrMn tetrahedra, corners with two equivalent O(3)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(26)YMn3 trigonal pyramid, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Y(1), one Y(4), one Zr(1), and one Mn(5) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(1)Y2ZrMn tetrahedra, corners with two equivalent O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(26)YMn3 trigonal pyramid, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Y(5), one Y(6), one Y(8), and one Mn(6) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra, corners with two equivalent O(10)Y2ZrMn tetrahedra, corners with two equivalent O(7)Y3Mn tetrahedra,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(21)YMn3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Y(5), one Y(7), one Y(8), and one Mn(7) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(8)Y2ZrMn tetrahedra, corners with two equivalent O(6)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra, and  an edgeedge with one O(21)YMn3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(7), one Y(8), one Zr(2), and one Mn(8) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(9)Y2ZrMn tetrahedra, corners with two equivalent O(7)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Y(6), one Y(7), one Zr(2), and one Mn(9) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(10)Y2ZrMn tetrahedra, corners with two equivalent O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(5), one Y(6), one Zr(2), and one Mn(10) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(9)Y2ZrMn tetrahedra, corners with two equivalent O(6)Y3Mn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(21)YMn3 trigonal pyramid, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Y(3), one Y(4), one Zr(1), and one Mn(7) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(15)Y2ZrMn tetrahedra, corners with two equivalent O(12)Y3Mn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(24)YMn3 trigonal pyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(2), one Y(3), one Y(4), and one Mn(8) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(11)Y2ZrMn tetrahedra, corners with two equivalent O(13)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra,  an edgeedge with one O(24)YMn3 trigonal pyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(1), one Y(2), one Y(3), and one Mn(9) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(14)Y2ZrMn tetrahedra, corners with two equivalent O(12)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(24)YMn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(1), one Y(2), one Zr(1), and one Mn(10) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(15)Y2ZrMn tetrahedra, corners with two equivalent O(13)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra, and  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid. In the fifteenth O site, O(15) is bonded to one Y(1), one Y(4), one Zr(1), and one Mn(6) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(11)Y2ZrMn tetrahedra, corners with two equivalent O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Y(5), one Y(6), one Y(8), and one Mn(1) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(20)Y2ZrMn tetrahedra, corners with two equivalent O(17)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Y(5), one Y(7), one Y(8), and one Mn(2) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(18)Y2ZrMn tetrahedra, corners with two equivalent O(16)Y3Mn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Y(7), one Y(8), one Zr(2), and one Mn(3) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(19)Y2ZrMn tetrahedra, corners with two equivalent O(17)Y3Mn tetrahedra,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Y(6), one Y(7), one Zr(2), and one Mn(4) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(18)Y2ZrMn tetrahedra, corners with two equivalent O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra, and  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Y(5), one Y(6), one Zr(2), and one Mn(5) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(19)Y2ZrMn tetrahedra, corners with two equivalent O(16)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra, and  an edgeedge with one O(6)Y3Mn tetrahedra. In the twenty-first O site, O(21) is bonded to one Y(5), one Mn(10), one Mn(6), and one Mn(7) atom to form distorted OYMn3 trigonal pyramids that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(22)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid, corners with two equivalent O(25)YMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra, and  an edgeedge with one O(7)Y3Mn tetrahedra. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(6), one Mn(10), one Mn(6), and one Mn(9) atom to form distorted OY2Mn3 trigonal bipyramids that share  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid, corners with two equivalent O(21)YMn3 trigonal pyramids, corners with two equivalent O(23)ZrMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra, and  an edgeedge with one O(6)Y3Mn tetrahedra. In the twenty-third O site, O(23) is bonded to one Zr(2), one Mn(10), one Mn(8), and one Mn(9) atom to form OZrMn3 trigonal pyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra, corners with two equivalent O(22)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid, corners with two equivalent O(24)YMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(8)Y2ZrMn tetrahedra, and  an edgeedge with one O(9)Y2ZrMn tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Y(3), one Mn(7), one Mn(8), and one Mn(9) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid, corners with two equivalent O(25)YMn3 trigonal pyramids, corners with two equivalent O(23)ZrMn3 trigonal pyramids,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra, and  an edgeedge with one O(13)Y3Mn tetrahedra. In the twenty-fifth O site, O(25) is bonded to one Y(4), one Mn(6), one Mn(7), and one Mn(8) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid, corners with two equivalent O(21)YMn3 trigonal pyramids, corners with two equivalent O(24)YMn3 trigonal pyramids,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra, and  an edgeedge with one O(12)Y3Mn tetrahedra. In the twenty-sixth O site, O(26) is bonded to one Y(1), one Mn(3), one Mn(4), and one Mn(5) atom to form distorted OYMn3 trigonal pyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid, corners with two equivalent O(27)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(28)YMn3 trigonal pyramid, corners with two equivalent O(30)ZrMn3 trigonal pyramids,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra, and  an edgeedge with one O(3)Y3Mn tetrahedra. In the twenty-seventh O site, O(27) is bonded to one Y(2), one Y(7), one Mn(2), one Mn(3), and one Mn(4) atom to form OY2Mn3 trigonal bipyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(30)ZrMn3 trigonal pyramid, corners with two equivalent O(26)YMn3 trigonal pyramids, corners with two equivalent O(28)YMn3 trigonal pyramids,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra, and  an edgeedge with one O(3)Y3Mn tetrahedra. In the twenty-eighth O site, O(28) is bonded to one Y(8), one Mn(1), one Mn(2), and one Mn(3) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(27)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra, and  an edgeedge with one O(17)Y3Mn tetrahedra. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Y(5), one Mn(1), one Mn(2), and one Mn(5) atom. In the thirtieth O site, O(30) is bonded to one Zr(1), one Mn(1), one Mn(4), and one Mn(5) atom to form OZrMn3 trigonal pyramids that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid, corners with two equivalent O(26)YMn3 trigonal pyramids,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra, and  an edgeedge with one O(5)Y2ZrMn tetrahedra.
Y4ZrMn5O15 crystallizes in the triclinic P1 space group. There are eight inequivalent Y sites. In the first Y site, Y(1) is bonded in a distorted body-centered cubic geometry to one O(13), one O(14), one O(15), one O(22), one O(26), one O(3), one O(4), and one O(5) atom. The Y(1)-O(13) bond length is 2.32 Å. The Y(1)-O(14) bond length is 2.37 Å. The Y(1)-O(15) bond length is 2.35 Å. The Y(1)-O(22) bond length is 2.81 Å. The Y(1)-O(26) bond length is 2.59 Å. The Y(1)-O(3) bond length is 2.33 Å. The Y(1)-O(4) bond length is 2.34 Å. The Y(1)-O(5) bond length is 2.31 Å. In the second Y site, Y(2) is bonded in a 7-coordinate geometry to one O(12), one O(13), one O(14), one O(2), one O(27), one O(3), and one O(4) atom. The Y(2)-O(12) bond length is 2.28 Å. The Y(2)-O(13) bond length is 2.30 Å. The Y(2)-O(14) bond length is 2.42 Å. The Y(2)-O(2) bond length is 2.30 Å. The Y(2)-O(27) bond length is 2.68 Å. The Y(2)-O(3) bond length is 2.26 Å. The Y(2)-O(4) bond length is 2.26 Å. In the third Y site, Y(3) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(13), one O(2), one O(24), and one O(3) atom. The Y(3)-O(1) bond length is 2.37 Å. The Y(3)-O(11) bond length is 2.32 Å. The Y(3)-O(12) bond length is 2.29 Å. The Y(3)-O(13) bond length is 2.30 Å. The Y(3)-O(2) bond length is 2.36 Å. The Y(3)-O(24) bond length is 2.42 Å. The Y(3)-O(3) bond length is 2.32 Å. In the fourth Y site, Y(4) is bonded in a 7-coordinate geometry to one O(1), one O(11), one O(12), one O(15), one O(2), one O(25), and one O(5) atom. The Y(4)-O(1) bond length is 2.37 Å. The Y(4)-O(11) bond length is 2.36 Å. The Y(4)-O(12) bond length is 2.31 Å. The Y(4)-O(15) bond length is 2.36 Å. The Y(4)-O(2) bond length is 2.35 Å. The Y(4)-O(25) bond length is 2.37 Å. The Y(4)-O(5) bond length is 2.29 Å. In the fifth Y site, Y(5) is bonded in a distorted body-centered cubic geometry to one O(10), one O(16), one O(17), one O(20), one O(21), one O(29), one O(6), and one O(7) atom. The Y(5)-O(10) bond length is 2.33 Å. The Y(5)-O(16) bond length is 2.33 Å. The Y(5)-O(17) bond length is 2.30 Å. The Y(5)-O(20) bond length is 2.38 Å. The Y(5)-O(21) bond length is 2.46 Å. The Y(5)-O(29) bond length is 2.81 Å. The Y(5)-O(6) bond length is 2.35 Å. The Y(5)-O(7) bond length is 2.36 Å. In the sixth Y site, Y(6) is bonded in a 7-coordinate geometry to one O(10), one O(16), one O(19), one O(20), one O(22), one O(6), and one O(9) atom. The Y(6)-O(10) bond length is 2.25 Å. The Y(6)-O(16) bond length is 2.28 Å. The Y(6)-O(19) bond length is 2.40 Å. The Y(6)-O(20) bond length is 2.32 Å. The Y(6)-O(22) bond length is 2.79 Å. The Y(6)-O(6) bond length is 2.26 Å. The Y(6)-O(9) bond length is 2.31 Å. In the seventh Y site, Y(7) is bonded in a 7-coordinate geometry to one O(17), one O(18), one O(19), one O(27), one O(7), one O(8), and one O(9) atom. The Y(7)-O(17) bond length is 2.24 Å. The Y(7)-O(18) bond length is 2.32 Å. The Y(7)-O(19) bond length is 2.33 Å. The Y(7)-O(27) bond length is 2.57 Å. The Y(7)-O(7) bond length is 2.33 Å. The Y(7)-O(8) bond length is 2.38 Å. The Y(7)-O(9) bond length is 2.33 Å. In the eighth Y site, Y(8) is bonded to one O(16), one O(17), one O(18), one O(28), one O(6), one O(7), and one O(8) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one Mn(1)O5 trigonal bipyramid,  an edgeedge with one Mn(2)O5 trigonal bipyramid, and  an edgeedge with one Mn(3)O5 trigonal bipyramid. The Y(8)-O(16) bond length is 2.31 Å. The Y(8)-O(17) bond length is 2.26 Å. The Y(8)-O(18) bond length is 2.36 Å. The Y(8)-O(28) bond length is 2.41 Å. The Y(8)-O(6) bond length is 2.33 Å. The Y(8)-O(7) bond length is 2.30 Å. The Y(8)-O(8) bond length is 2.39 Å. There are two inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(11), one O(14), one O(15), one O(30), one O(4), and one O(5) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  an edgeedge with one Mn(1)O5 trigonal bipyramid,  an edgeedge with one Mn(4)O5 trigonal bipyramid, and  an edgeedge with one Mn(5)O5 trigonal bipyramid. The Zr(1)-O(1) bond length is 2.20 Å. The Zr(1)-O(11) bond length is 2.18 Å. The Zr(1)-O(14) bond length is 2.28 Å. The Zr(1)-O(15) bond length is 2.25 Å. The Zr(1)-O(30) bond length is 2.29 Å. The Zr(1)-O(4) bond length is 2.16 Å. The Zr(1)-O(5) bond length is 2.12 Å. In the second Zr site, Zr(2) is bonded to one O(10), one O(18), one O(19), one O(20), one O(23), one O(8), and one O(9) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Mn(3)O5 trigonal bipyramid,  a cornercorner with one Mn(4)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid,  an edgeedge with one Y(8)O7 pentagonal bipyramid,  an edgeedge with one Mn(10)O5 trigonal bipyramid,  an edgeedge with one Mn(8)O5 trigonal bipyramid, and  an edgeedge with one Mn(9)O5 trigonal bipyramid. The Zr(2)-O(10) bond length is 2.14 Å. The Zr(2)-O(18) bond length is 2.22 Å. The Zr(2)-O(19) bond length is 2.29 Å. The Zr(2)-O(20) bond length is 2.19 Å. The Zr(2)-O(23) bond length is 2.22 Å. The Zr(2)-O(8) bond length is 2.21 Å. The Zr(2)-O(9) bond length is 2.20 Å. There are ten inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(16), one O(28), one O(29), and one O(30) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(3)O5 trigonal bipyramid,  a cornercorner with one Mn(4)O5 trigonal bipyramid, corners with two equivalent Mn(2)O5 trigonal bipyramids, corners with two equivalent Mn(5)O5 trigonal bipyramids,  an edgeedge with one Y(8)O7 pentagonal bipyramid, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. The Mn(1)-O(1) bond length is 1.94 Å. The Mn(1)-O(16) bond length is 1.91 Å. The Mn(1)-O(28) bond length is 2.14 Å. The Mn(1)-O(29) bond length is 2.01 Å. The Mn(1)-O(30) bond length is 2.09 Å. In the second Mn site, Mn(2) is bonded to one O(17), one O(2), one O(27), one O(28), and one O(29) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(4)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid, corners with two equivalent Mn(1)O5 trigonal bipyramids, corners with two equivalent Mn(3)O5 trigonal bipyramids, and  an edgeedge with one Y(8)O7 pentagonal bipyramid. The Mn(2)-O(17) bond length is 1.91 Å. The Mn(2)-O(2) bond length is 1.92 Å. The Mn(2)-O(27) bond length is 2.22 Å. The Mn(2)-O(28) bond length is 2.10 Å. The Mn(2)-O(29) bond length is 2.00 Å. In the third Mn site, Mn(3) is bonded to one O(18), one O(26), one O(27), one O(28), and one O(3) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(5)O5 trigonal bipyramid, corners with two equivalent Mn(2)O5 trigonal bipyramids, corners with two equivalent Mn(4)O5 trigonal bipyramids, and  an edgeedge with one Y(8)O7 pentagonal bipyramid. The Mn(3)-O(18) bond length is 1.94 Å. The Mn(3)-O(26) bond length is 1.99 Å. The Mn(3)-O(27) bond length is 2.15 Å. The Mn(3)-O(28) bond length is 2.10 Å. The Mn(3)-O(3) bond length is 1.91 Å. In the fourth Mn site, Mn(4) is bonded to one O(19), one O(26), one O(27), one O(30), and one O(4) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(1)O5 trigonal bipyramid,  a cornercorner with one Mn(2)O5 trigonal bipyramid, corners with two equivalent Mn(3)O5 trigonal bipyramids, corners with two equivalent Mn(5)O5 trigonal bipyramids, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. The Mn(4)-O(19) bond length is 1.93 Å. The Mn(4)-O(26) bond length is 2.00 Å. The Mn(4)-O(27) bond length is 2.16 Å. The Mn(4)-O(30) bond length is 2.13 Å. The Mn(4)-O(4) bond length is 1.91 Å. In the fifth Mn site, Mn(5) is bonded to one O(20), one O(26), one O(29), one O(30), and one O(5) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Mn(2)O5 trigonal bipyramid,  a cornercorner with one Mn(3)O5 trigonal bipyramid, corners with two equivalent Mn(1)O5 trigonal bipyramids, corners with two equivalent Mn(4)O5 trigonal bipyramids, and  an edgeedge with one Zr(1)O7 pentagonal bipyramid. The Mn(5)-O(20) bond length is 2.05 Å. The Mn(5)-O(26) bond length is 2.10 Å. The Mn(5)-O(29) bond length is 2.09 Å. The Mn(5)-O(30) bond length is 2.20 Å. The Mn(5)-O(5) bond length is 2.06 Å. In the sixth Mn site, Mn(6) is bonded to one O(15), one O(21), one O(22), one O(25), and one O(6) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid,  a cornercorner with one Mn(9)O5 trigonal bipyramid, corners with two equivalent Mn(10)O5 trigonal bipyramids, and corners with two equivalent Mn(7)O5 trigonal bipyramids. The Mn(6)-O(15) bond length is 1.95 Å. The Mn(6)-O(21) bond length is 2.05 Å. The Mn(6)-O(22) bond length is 2.14 Å. The Mn(6)-O(25) bond length is 2.10 Å. The Mn(6)-O(6) bond length is 1.93 Å. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(21), one O(24), one O(25), and one O(7) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(9)O5 trigonal bipyramid, corners with two equivalent Mn(6)O5 trigonal bipyramids, and corners with two equivalent Mn(8)O5 trigonal bipyramids. The Mn(7)-O(11) bond length is 1.98 Å. The Mn(7)-O(21) bond length is 2.05 Å. The Mn(7)-O(24) bond length is 2.13 Å. The Mn(7)-O(25) bond length is 2.14 Å. The Mn(7)-O(7) bond length is 1.95 Å. In the eighth Mn site, Mn(8) is bonded to one O(12), one O(23), one O(24), one O(25), and one O(8) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Y(8)O7 pentagonal bipyramid,  a cornercorner with one Mn(10)O5 trigonal bipyramid,  a cornercorner with one Mn(6)O5 trigonal bipyramid, corners with two equivalent Mn(7)O5 trigonal bipyramids, corners with two equivalent Mn(9)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. The Mn(8)-O(12) bond length is 1.90 Å. The Mn(8)-O(23) bond length is 2.10 Å. The Mn(8)-O(24) bond length is 2.10 Å. The Mn(8)-O(25) bond length is 2.10 Å. The Mn(8)-O(8) bond length is 1.94 Å. In the ninth Mn site, Mn(9) is bonded to one O(13), one O(22), one O(23), one O(24), and one O(9) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Mn(6)O5 trigonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid, corners with two equivalent Mn(10)O5 trigonal bipyramids, corners with two equivalent Mn(8)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. The Mn(9)-O(13) bond length is 1.90 Å. The Mn(9)-O(22) bond length is 2.09 Å. The Mn(9)-O(23) bond length is 2.11 Å. The Mn(9)-O(24) bond length is 2.06 Å. The Mn(9)-O(9) bond length is 1.93 Å. In the tenth Mn site, Mn(10) is bonded to one O(10), one O(14), one O(21), one O(22), and one O(23) atom to form MnO5 trigonal bipyramids that share  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Mn(7)O5 trigonal bipyramid,  a cornercorner with one Mn(8)O5 trigonal bipyramid, corners with two equivalent Mn(6)O5 trigonal bipyramids, corners with two equivalent Mn(9)O5 trigonal bipyramids, and  an edgeedge with one Zr(2)O7 pentagonal bipyramid. The Mn(10)-O(10) bond length is 1.95 Å. The Mn(10)-O(14) bond length is 1.95 Å. The Mn(10)-O(21) bond length is 2.06 Å. The Mn(10)-O(22) bond length is 2.09 Å. The Mn(10)-O(23) bond length is 2.21 Å. There are thirty inequivalent O sites. In the first O site, O(1) is bonded to one Y(3), one Y(4), one Zr(1), and one Mn(1) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(5)Y2ZrMn tetrahedra, corners with two equivalent O(2)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the second O site, O(2) is bonded to one Y(2), one Y(3), one Y(4), and one Mn(2) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(1)Y2ZrMn tetrahedra, corners with two equivalent O(3)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra, and  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid. In the third O site, O(3) is bonded to one Y(1), one Y(2), one Y(3), and one Mn(3) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra, corners with two equivalent O(4)Y2ZrMn tetrahedra, corners with two equivalent O(2)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(26)YMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(1), one Y(2), one Zr(1), and one Mn(4) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(5)Y2ZrMn tetrahedra, corners with two equivalent O(3)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(26)YMn3 trigonal pyramid, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Y(1), one Y(4), one Zr(1), and one Mn(5) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(1)Y2ZrMn tetrahedra, corners with two equivalent O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(26)YMn3 trigonal pyramid, and  an edgeedge with one O(30)ZrMn3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Y(5), one Y(6), one Y(8), and one Mn(6) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra, corners with two equivalent O(10)Y2ZrMn tetrahedra, corners with two equivalent O(7)Y3Mn tetrahedra,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(21)YMn3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Y(5), one Y(7), one Y(8), and one Mn(7) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(8)Y2ZrMn tetrahedra, corners with two equivalent O(6)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra, and  an edgeedge with one O(21)YMn3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(7), one Y(8), one Zr(2), and one Mn(8) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(9)Y2ZrMn tetrahedra, corners with two equivalent O(7)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Y(6), one Y(7), one Zr(2), and one Mn(9) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(10)Y2ZrMn tetrahedra, corners with two equivalent O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(24)YMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(5), one Y(6), one Zr(2), and one Mn(10) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(9)Y2ZrMn tetrahedra, corners with two equivalent O(6)Y3Mn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(20)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid,  an edgeedge with one O(21)YMn3 trigonal pyramid, and  an edgeedge with one O(23)ZrMn3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Y(3), one Y(4), one Zr(1), and one Mn(7) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(15)Y2ZrMn tetrahedra, corners with two equivalent O(12)Y3Mn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(24)YMn3 trigonal pyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(2), one Y(3), one Y(4), and one Mn(8) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(11)Y2ZrMn tetrahedra, corners with two equivalent O(13)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra,  an edgeedge with one O(24)YMn3 trigonal pyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(1), one Y(2), one Y(3), and one Mn(9) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra, corners with two equivalent O(14)Y2ZrMn tetrahedra, corners with two equivalent O(12)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(24)YMn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(1), one Y(2), one Zr(1), and one Mn(10) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra, corners with two equivalent O(15)Y2ZrMn tetrahedra, corners with two equivalent O(13)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(3)Y3Mn tetrahedra, and  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid. In the fifteenth O site, O(15) is bonded to one Y(1), one Y(4), one Zr(1), and one Mn(6) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(11)Y2ZrMn tetrahedra, corners with two equivalent O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra,  an edgeedge with one O(22)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(25)YMn3 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Y(5), one Y(6), one Y(8), and one Mn(1) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(20)Y2ZrMn tetrahedra, corners with two equivalent O(17)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Y(5), one Y(7), one Y(8), and one Mn(2) atom to form OY3Mn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(18)Y2ZrMn tetrahedra, corners with two equivalent O(16)Y3Mn tetrahedra,  a cornercorner with one O(21)YMn3 trigonal pyramid,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Y(7), one Y(8), one Zr(2), and one Mn(3) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra, corners with two equivalent O(19)Y2ZrMn tetrahedra, corners with two equivalent O(17)Y3Mn tetrahedra,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra,  an edgeedge with one O(7)Y3Mn tetrahedra,  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid, and  an edgeedge with one O(28)YMn3 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Y(6), one Y(7), one Zr(2), and one Mn(4) atom to form distorted OY2ZrMn tetrahedra that share  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(18)Y2ZrMn tetrahedra, corners with two equivalent O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(8)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra, and  an edgeedge with one O(27)Y2Mn3 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Y(5), one Y(6), one Zr(2), and one Mn(5) atom to form OY2ZrMn tetrahedra that share  a cornercorner with one O(10)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(19)Y2ZrMn tetrahedra, corners with two equivalent O(16)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra, and  an edgeedge with one O(6)Y3Mn tetrahedra. In the twenty-first O site, O(21) is bonded to one Y(5), one Mn(10), one Mn(6), and one Mn(7) atom to form distorted OYMn3 trigonal pyramids that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(17)Y3Mn tetrahedra, corners with two equivalent O(22)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid, corners with two equivalent O(25)YMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(6)Y3Mn tetrahedra, and  an edgeedge with one O(7)Y3Mn tetrahedra. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(6), one Mn(10), one Mn(6), and one Mn(9) atom to form distorted OY2Mn3 trigonal bipyramids that share  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(4)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(24)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid,  a cornercorner with one O(26)YMn3 trigonal pyramid, corners with two equivalent O(21)YMn3 trigonal pyramids, corners with two equivalent O(23)ZrMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(14)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra,  an edgeedge with one O(9)Y2ZrMn tetrahedra,  an edgeedge with one O(13)Y3Mn tetrahedra, and  an edgeedge with one O(6)Y3Mn tetrahedra. In the twenty-third O site, O(23) is bonded to one Zr(2), one Mn(10), one Mn(8), and one Mn(9) atom to form OZrMn3 trigonal pyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra, corners with two equivalent O(22)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(21)YMn3 trigonal pyramid,  a cornercorner with one O(25)YMn3 trigonal pyramid, corners with two equivalent O(24)YMn3 trigonal pyramids,  an edgeedge with one O(10)Y2ZrMn tetrahedra,  an edgeedge with one O(8)Y2ZrMn tetrahedra, and  an edgeedge with one O(9)Y2ZrMn tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Y(3), one Mn(7), one Mn(8), and one Mn(9) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(21)YMn3 trigonal pyramid, corners with two equivalent O(25)YMn3 trigonal pyramids, corners with two equivalent O(23)ZrMn3 trigonal pyramids,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(12)Y3Mn tetrahedra, and  an edgeedge with one O(13)Y3Mn tetrahedra. In the twenty-fifth O site, O(25) is bonded to one Y(4), one Mn(6), one Mn(7), and one Mn(8) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(5)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(23)ZrMn3 trigonal pyramid, corners with two equivalent O(21)YMn3 trigonal pyramids, corners with two equivalent O(24)YMn3 trigonal pyramids,  an edgeedge with one O(11)Y2ZrMn tetrahedra,  an edgeedge with one O(15)Y2ZrMn tetrahedra, and  an edgeedge with one O(12)Y3Mn tetrahedra. In the twenty-sixth O site, O(26) is bonded to one Y(1), one Mn(3), one Mn(4), and one Mn(5) atom to form distorted OYMn3 trigonal pyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(18)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(22)Y2Mn3 trigonal bipyramid, corners with two equivalent O(27)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(28)YMn3 trigonal pyramid, corners with two equivalent O(30)ZrMn3 trigonal pyramids,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(5)Y2ZrMn tetrahedra, and  an edgeedge with one O(3)Y3Mn tetrahedra. In the twenty-seventh O site, O(27) is bonded to one Y(2), one Y(7), one Mn(2), one Mn(3), and one Mn(4) atom to form OY2Mn3 trigonal bipyramids that share  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(9)Y2ZrMn tetrahedra,  a cornercorner with one O(12)Y3Mn tetrahedra,  a cornercorner with one O(13)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra,  a cornercorner with one O(30)ZrMn3 trigonal pyramid, corners with two equivalent O(26)YMn3 trigonal pyramids, corners with two equivalent O(28)YMn3 trigonal pyramids,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(19)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra,  an edgeedge with one O(17)Y3Mn tetrahedra,  an edgeedge with one O(2)Y3Mn tetrahedra, and  an edgeedge with one O(3)Y3Mn tetrahedra. In the twenty-eighth O site, O(28) is bonded to one Y(8), one Mn(1), one Mn(2), and one Mn(3) atom to form OYMn3 trigonal pyramids that share  a cornercorner with one O(1)Y2ZrMn tetrahedra,  a cornercorner with one O(8)Y2ZrMn tetrahedra,  a cornercorner with one O(2)Y3Mn tetrahedra,  a cornercorner with one O(3)Y3Mn tetrahedra,  a cornercorner with one O(6)Y3Mn tetrahedra,  a cornercorner with one O(7)Y3Mn tetrahedra, corners with two equivalent O(27)Y2Mn3 trigonal bipyramids,  a cornercorner with one O(26)YMn3 trigonal pyramid,  a cornercorner with one O(30)ZrMn3 trigonal pyramid,  an edgeedge with one O(18)Y2ZrMn tetrahedra,  an edgeedge with one O(16)Y3Mn tetrahedra, and  an edgeedge with one O(17)Y3Mn tetrahedra. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Y(5), one Mn(1), one Mn(2), and one Mn(5) atom. In the thirtieth O site, O(30) is bonded to one Zr(1), one Mn(1), one Mn(4), and one Mn(5) atom to form OZrMn3 trigonal pyramids that share  a cornercorner with one O(11)Y2ZrMn tetrahedra,  a cornercorner with one O(14)Y2ZrMn tetrahedra,  a cornercorner with one O(15)Y2ZrMn tetrahedra,  a cornercorner with one O(19)Y2ZrMn tetrahedra,  a cornercorner with one O(20)Y2ZrMn tetrahedra,  a cornercorner with one O(16)Y3Mn tetrahedra,  a cornercorner with one O(27)Y2Mn3 trigonal bipyramid,  a cornercorner with one O(28)YMn3 trigonal pyramid, corners with two equivalent O(26)YMn3 trigonal pyramids,  an edgeedge with one O(1)Y2ZrMn tetrahedra,  an edgeedge with one O(4)Y2ZrMn tetrahedra, and  an edgeedge with one O(5)Y2ZrMn tetrahedra.