K3Mn is alpha bismuth trifluoride structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent Mn(1) atoms to form distorted KK4Mn4 cuboctahedra that share corners with eight equivalent K(1)K4Mn4 cuboctahedra, corners with eight equivalent K(2)K8Mn4 cuboctahedra, corners with eight equivalent Mn(1)K12 cuboctahedra, edges with four equivalent K(2)K8Mn4 cuboctahedra, edges with four equivalent Mn(1)K12 cuboctahedra, edges with twelve equivalent K(1)K4Mn4 cuboctahedra, and faces with six equivalent K(1)K4Mn4 cuboctahedra. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent Mn(1) atoms to form KK8Mn4 cuboctahedra that share corners with four equivalent K(2)K8Mn4 cuboctahedra, corners with eight equivalent Mn(1)K12 cuboctahedra, corners with sixteen equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(2)K8Mn4 cuboctahedra, faces with four equivalent K(2)K8Mn4 cuboctahedra, and faces with six equivalent Mn(1)K12 cuboctahedra. Mn(1) is bonded to four equivalent K(2) and eight equivalent K(1) atoms to form MnK12 cuboctahedra that share corners with four equivalent Mn(1)K12 cuboctahedra, corners with eight equivalent K(2)K8Mn4 cuboctahedra, corners with sixteen equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent Mn(1)K12 cuboctahedra, faces with four equivalent Mn(1)K12 cuboctahedra, and faces with six equivalent K(2)K8Mn4 cuboctahedra.
K3Mn is alpha bismuth trifluoride structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent Mn(1) atoms to form distorted KK4Mn4 cuboctahedra that share corners with eight equivalent K(1)K4Mn4 cuboctahedra, corners with eight equivalent K(2)K8Mn4 cuboctahedra, corners with eight equivalent Mn(1)K12 cuboctahedra, edges with four equivalent K(2)K8Mn4 cuboctahedra, edges with four equivalent Mn(1)K12 cuboctahedra, edges with twelve equivalent K(1)K4Mn4 cuboctahedra, and faces with six equivalent K(1)K4Mn4 cuboctahedra. All K(1)-K(2) bond lengths are 4.08 Å. All K(1)-Mn(1) bond lengths are 4.08 Å. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent Mn(1) atoms to form KK8Mn4 cuboctahedra that share corners with four equivalent K(2)K8Mn4 cuboctahedra, corners with eight equivalent Mn(1)K12 cuboctahedra, corners with sixteen equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(2)K8Mn4 cuboctahedra, faces with four equivalent K(2)K8Mn4 cuboctahedra, and faces with six equivalent Mn(1)K12 cuboctahedra. All K(2)-Mn(1) bond lengths are 4.20 Å. Mn(1) is bonded to four equivalent K(2) and eight equivalent K(1) atoms to form MnK12 cuboctahedra that share corners with four equivalent Mn(1)K12 cuboctahedra, corners with eight equivalent K(2)K8Mn4 cuboctahedra, corners with sixteen equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent K(1)K4Mn4 cuboctahedra, edges with eight equivalent Mn(1)K12 cuboctahedra, faces with four equivalent Mn(1)K12 cuboctahedra, and faces with six equivalent K(2)K8Mn4 cuboctahedra.