Li4Zn(PS4)2 crystallizes in the triclinic P1 space group. There are twelve inequivalent Li sites. In the first Li site, Li(1) is bonded to one S(1), one S(16), one S(19), and one S(5) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra, corners with two equivalent Zn(3)S4 tetrahedra, and corners with two equivalent P(1)S4 tetrahedra. In the second Li site, Li(2) is bonded to one S(17), one S(2), one S(20), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(5)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. In the third Li site, Li(3) is bonded to one S(1), one S(13), one S(22), and one S(4) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(7)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. In the fourth Li site, Li(4) is bonded to one S(15), one S(24), one S(3), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(9)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. In the fifth Li site, Li(5) is bonded to one S(12), one S(17), one S(20), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. In the sixth Li site, Li(6) is bonded to one S(10), one S(18), one S(21), and one S(9) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, and corners with two equivalent P(3)S4 tetrahedra. In the seventh Li site, Li(7) is bonded to one S(10), one S(13), one S(22), and one S(7) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. In the eighth Li site, Li(8) is bonded to one S(11), one S(14), one S(23), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra, corners with two equivalent Zn(2)S4 tetrahedra, and corners with two equivalent P(5)S4 tetrahedra. In the ninth Li site, Li(9) is bonded to one S(12), one S(15), one S(24), and one S(9) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. In the tenth Li site, Li(10) is bonded to one S(10), one S(13), one S(19), and one S(4) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, corners with two equivalent Li(7)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. In the eleventh Li site, Li(11) is bonded to one S(12), one S(15), one S(21), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, corners with two equivalent Li(9)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. In the twelfth Li site, Li(12) is bonded to one S(17), one S(2), one S(24), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, corners with two equivalent Li(5)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one S(18), one S(21), one S(3), and one S(4) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(6)S4 tetrahedra, and corners with two equivalent P(3)S4 tetrahedra. In the second Zn site, Zn(2) is bonded to one S(14), one S(2), one S(23), and one S(5) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra, corners with two equivalent Li(8)S4 tetrahedra, and corners with two equivalent P(5)S4 tetrahedra. In the third Zn site, Zn(3) is bonded to one S(11), one S(16), one S(19), and one S(7) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra, corners with two equivalent Li(1)S4 tetrahedra, and corners with two equivalent P(1)S4 tetrahedra. There are six inequivalent P sites. In the first P site, P(1) is bonded to one S(1), one S(14), one S(19), and one S(7) atom to form PS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Li(1)S4 tetrahedra, and corners with two equivalent Zn(3)S4 tetrahedra. In the second P site, P(2) is bonded to one S(15), one S(2), one S(20), and one S(8) atom to form PS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, and corners with two equivalent Li(5)S4 tetrahedra. In the third P site, P(3) is bonded to one S(13), one S(21), one S(3), and one S(9) atom to form PS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra, corners with two equivalent Li(6)S4 tetrahedra, and corners with two equivalent Zn(1)S4 tetrahedra. In the fourth P site, P(4) is bonded to one S(10), one S(16), one S(22), and one S(4) atom to form PS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, and corners with two equivalent Li(7)S4 tetrahedra. In the fifth P site, P(5) is bonded to one S(11), one S(17), one S(23), and one S(5) atom to form PS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Li(8)S4 tetrahedra, and corners with two equivalent Zn(2)S4 tetrahedra. In the sixth P site, P(6) is bonded to one S(12), one S(18), one S(24), and one S(6) atom to form PS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, and corners with two equivalent Li(9)S4 tetrahedra. There are twenty-four inequivalent S sites. In the first S site, S(1) is bonded in a trigonal non-coplanar geometry to one Li(1), one Li(3), and one P(1) atom. In the second S site, S(2) is bonded to one Li(12), one Li(2), one Zn(2), and one P(2) atom to form corner-sharing SLi2ZnP tetrahedra. In the third S site, S(3) is bonded in a trigonal non-coplanar geometry to one Li(4), one Zn(1), and one P(3) atom. In the fourth S site, S(4) is bonded to one Li(10), one Li(3), one Zn(1), and one P(4) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(10)Li3P tetrahedra, and corners with two equivalent S(13)Li3P tetrahedra. In the fifth S site, S(5) is bonded in a trigonal non-coplanar geometry to one Li(1), one Zn(2), and one P(5) atom. In the sixth S site, S(6) is bonded to one Li(11), one Li(2), one Li(4), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids. In the seventh S site, S(7) is bonded in a trigonal non-coplanar geometry to one Li(7), one Zn(3), and one P(1) atom. In the eighth S site, S(8) is bonded to one Li(12), one Li(5), one Li(8), and one P(2) atom to form SLi3P tetrahedra that share  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(24)Li3P tetrahedra, corners with two equivalent S(2)Li2ZnP tetrahedra, corners with two equivalent S(17)Li3P tetrahedra, and  a cornercorner with one S(15)Li3P trigonal pyramid. In the ninth S site, S(9) is bonded in a trigonal non-coplanar geometry to one Li(6), one Li(9), and one P(3) atom. In the tenth S site, S(10) is bonded to one Li(10), one Li(6), one Li(7), and one P(4) atom to form SLi3P tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(4)Li2ZnP tetrahedra, and corners with two equivalent S(13)Li3P tetrahedra. In the eleventh S site, S(11) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(3), and one P(5) atom. In the twelfth S site, S(12) is bonded to one Li(11), one Li(5), one Li(9), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, corners with two equivalent S(6)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids. In the thirteenth S site, S(13) is bonded to one Li(10), one Li(3), one Li(7), and one P(3) atom to form SLi3P tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(4)Li2ZnP tetrahedra, and corners with two equivalent S(10)Li3P tetrahedra. In the fourteenth S site, S(14) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(2), and one P(1) atom. In the fifteenth S site, S(15) is bonded to one Li(11), one Li(4), one Li(9), and one P(2) atom to form SLi3P trigonal pyramids that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, and corners with two equivalent S(6)Li3P tetrahedra. In the sixteenth S site, S(16) is bonded in a trigonal non-coplanar geometry to one Li(1), one Zn(3), and one P(4) atom. In the seventeenth S site, S(17) is bonded to one Li(12), one Li(2), one Li(5), and one P(5) atom to form SLi3P tetrahedra that share  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(24)Li3P tetrahedra,  a cornercorner with one S(6)Li3P tetrahedra, corners with two equivalent S(2)Li2ZnP tetrahedra, and corners with two equivalent S(8)Li3P tetrahedra. In the eighteenth S site, S(18) is bonded in a trigonal non-coplanar geometry to one Li(6), one Zn(1), and one P(6) atom. In the nineteenth S site, S(19) is bonded to one Li(1), one Li(10), one Zn(3), and one P(1) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(4)Li2ZnP tetrahedra,  a cornercorner with one S(10)Li3P tetrahedra, and  a cornercorner with one S(13)Li3P tetrahedra. In the twentieth S site, S(20) is bonded in a trigonal non-coplanar geometry to one Li(2), one Li(5), and one P(2) atom. In the twenty-first S site, S(21) is bonded to one Li(11), one Li(6), one Zn(1), and one P(3) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(4)Li2ZnP tetrahedra,  a cornercorner with one S(10)Li3P tetrahedra,  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(13)Li3P tetrahedra,  a cornercorner with one S(6)Li3P tetrahedra, and  a cornercorner with one S(15)Li3P trigonal pyramid. In the twenty-second S site, S(22) is bonded in a trigonal non-coplanar geometry to one Li(3), one Li(7), and one P(4) atom. In the twenty-third S site, S(23) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(2), and one P(5) atom. In the twenty-fourth S site, S(24) is bonded to one Li(12), one Li(4), one Li(9), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(6)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids.
Li4Zn(PS4)2 crystallizes in the triclinic P1 space group. There are twelve inequivalent Li sites. In the first Li site, Li(1) is bonded to one S(1), one S(16), one S(19), and one S(5) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra, corners with two equivalent Zn(3)S4 tetrahedra, and corners with two equivalent P(1)S4 tetrahedra. The Li(1)-S(1) bond length is 2.45 Å. The Li(1)-S(16) bond length is 2.43 Å. The Li(1)-S(19) bond length is 2.47 Å. The Li(1)-S(5) bond length is 2.45 Å. In the second Li site, Li(2) is bonded to one S(17), one S(2), one S(20), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(5)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. The Li(2)-S(17) bond length is 2.39 Å. The Li(2)-S(2) bond length is 2.46 Å. The Li(2)-S(20) bond length is 2.38 Å. The Li(2)-S(6) bond length is 2.46 Å. In the third Li site, Li(3) is bonded to one S(1), one S(13), one S(22), and one S(4) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(7)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. The Li(3)-S(1) bond length is 2.46 Å. The Li(3)-S(13) bond length is 2.39 Å. The Li(3)-S(22) bond length is 2.39 Å. The Li(3)-S(4) bond length is 2.48 Å. In the fourth Li site, Li(4) is bonded to one S(15), one S(24), one S(3), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(9)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. The Li(4)-S(15) bond length is 2.42 Å. The Li(4)-S(24) bond length is 2.39 Å. The Li(4)-S(3) bond length is 2.45 Å. The Li(4)-S(6) bond length is 2.42 Å. In the fifth Li site, Li(5) is bonded to one S(12), one S(17), one S(20), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. The Li(5)-S(12) bond length is 2.46 Å. The Li(5)-S(17) bond length is 2.41 Å. The Li(5)-S(20) bond length is 2.38 Å. The Li(5)-S(8) bond length is 2.43 Å. In the sixth Li site, Li(6) is bonded to one S(10), one S(18), one S(21), and one S(9) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, and corners with two equivalent P(3)S4 tetrahedra. The Li(6)-S(10) bond length is 2.45 Å. The Li(6)-S(18) bond length is 2.43 Å. The Li(6)-S(21) bond length is 2.50 Å. The Li(6)-S(9) bond length is 2.47 Å. In the seventh Li site, Li(7) is bonded to one S(10), one S(13), one S(22), and one S(7) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. The Li(7)-S(10) bond length is 2.43 Å. The Li(7)-S(13) bond length is 2.44 Å. The Li(7)-S(22) bond length is 2.38 Å. The Li(7)-S(7) bond length is 2.47 Å. In the eighth Li site, Li(8) is bonded to one S(11), one S(14), one S(23), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra, corners with two equivalent Zn(2)S4 tetrahedra, and corners with two equivalent P(5)S4 tetrahedra. The Li(8)-S(11) bond length is 2.49 Å. The Li(8)-S(14) bond length is 2.40 Å. The Li(8)-S(23) bond length is 2.47 Å. The Li(8)-S(8) bond length is 2.46 Å. In the ninth Li site, Li(9) is bonded to one S(12), one S(15), one S(24), and one S(9) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. The Li(9)-S(12) bond length is 2.45 Å. The Li(9)-S(15) bond length is 2.42 Å. The Li(9)-S(24) bond length is 2.40 Å. The Li(9)-S(9) bond length is 2.44 Å. In the tenth Li site, Li(10) is bonded to one S(10), one S(13), one S(19), and one S(4) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, corners with two equivalent Li(7)S4 tetrahedra, and corners with two equivalent P(4)S4 tetrahedra. The Li(10)-S(10) bond length is 2.56 Å. The Li(10)-S(13) bond length is 2.43 Å. The Li(10)-S(19) bond length is 2.50 Å. The Li(10)-S(4) bond length is 2.69 Å. In the eleventh Li site, Li(11) is bonded to one S(12), one S(15), one S(21), and one S(6) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra,  a cornercorner with one P(3)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, corners with two equivalent Li(9)S4 tetrahedra, and corners with two equivalent P(6)S4 tetrahedra. The Li(11)-S(12) bond length is 2.64 Å. The Li(11)-S(15) bond length is 2.44 Å. The Li(11)-S(21) bond length is 2.55 Å. The Li(11)-S(6) bond length is 2.61 Å. In the twelfth Li site, Li(12) is bonded to one S(17), one S(2), one S(24), and one S(8) atom to form LiS4 tetrahedra that share  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, corners with two equivalent Li(5)S4 tetrahedra, and corners with two equivalent P(2)S4 tetrahedra. The Li(12)-S(17) bond length is 2.44 Å. The Li(12)-S(2) bond length is 2.68 Å. The Li(12)-S(24) bond length is 2.47 Å. The Li(12)-S(8) bond length is 2.58 Å. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one S(18), one S(21), one S(3), and one S(4) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(6)S4 tetrahedra, corners with two equivalent Li(6)S4 tetrahedra, and corners with two equivalent P(3)S4 tetrahedra. The Zn(1)-S(18) bond length is 2.34 Å. The Zn(1)-S(21) bond length is 2.39 Å. The Zn(1)-S(3) bond length is 2.39 Å. The Zn(1)-S(4) bond length is 2.39 Å. In the second Zn site, Zn(2) is bonded to one S(14), one S(2), one S(23), and one S(5) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one P(1)S4 tetrahedra,  a cornercorner with one P(2)S4 tetrahedra, corners with two equivalent Li(8)S4 tetrahedra, and corners with two equivalent P(5)S4 tetrahedra. The Zn(2)-S(14) bond length is 2.34 Å. The Zn(2)-S(2) bond length is 2.39 Å. The Zn(2)-S(23) bond length is 2.36 Å. The Zn(2)-S(5) bond length is 2.40 Å. In the third Zn site, Zn(3) is bonded to one S(11), one S(16), one S(19), and one S(7) atom to form ZnS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one P(4)S4 tetrahedra,  a cornercorner with one P(5)S4 tetrahedra, corners with two equivalent Li(1)S4 tetrahedra, and corners with two equivalent P(1)S4 tetrahedra. The Zn(3)-S(11) bond length is 2.37 Å. The Zn(3)-S(16) bond length is 2.35 Å. The Zn(3)-S(19) bond length is 2.38 Å. The Zn(3)-S(7) bond length is 2.41 Å. There are six inequivalent P sites. In the first P site, P(1) is bonded to one S(1), one S(14), one S(19), and one S(7) atom to form PS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Li(1)S4 tetrahedra, and corners with two equivalent Zn(3)S4 tetrahedra. The P(1)-S(1) bond length is 2.01 Å. The P(1)-S(14) bond length is 2.07 Å. The P(1)-S(19) bond length is 2.12 Å. The P(1)-S(7) bond length is 2.07 Å. In the second P site, P(2) is bonded to one S(15), one S(2), one S(20), and one S(8) atom to form PS4 tetrahedra that share  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(8)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Li(12)S4 tetrahedra, corners with two equivalent Li(2)S4 tetrahedra, and corners with two equivalent Li(5)S4 tetrahedra. The P(2)-S(15) bond length is 2.07 Å. The P(2)-S(2) bond length is 2.11 Å. The P(2)-S(20) bond length is 2.01 Å. The P(2)-S(8) bond length is 2.06 Å. In the third P site, P(3) is bonded to one S(13), one S(21), one S(3), and one S(9) atom to form PS4 tetrahedra that share  a cornercorner with one Li(10)S4 tetrahedra,  a cornercorner with one Li(11)S4 tetrahedra,  a cornercorner with one Li(3)S4 tetrahedra,  a cornercorner with one Li(4)S4 tetrahedra,  a cornercorner with one Li(7)S4 tetrahedra,  a cornercorner with one Li(9)S4 tetrahedra, corners with two equivalent Li(6)S4 tetrahedra, and corners with two equivalent Zn(1)S4 tetrahedra. The P(3)-S(13) bond length is 2.06 Å. The P(3)-S(21) bond length is 2.12 Å. The P(3)-S(3) bond length is 2.07 Å. The P(3)-S(9) bond length is 2.01 Å. In the fourth P site, P(4) is bonded to one S(10), one S(16), one S(22), and one S(4) atom to form PS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Li(10)S4 tetrahedra, corners with two equivalent Li(3)S4 tetrahedra, and corners with two equivalent Li(7)S4 tetrahedra. The P(4)-S(10) bond length is 2.05 Å. The P(4)-S(16) bond length is 2.08 Å. The P(4)-S(22) bond length is 2.01 Å. The P(4)-S(4) bond length is 2.12 Å. In the fifth P site, P(5) is bonded to one S(11), one S(17), one S(23), and one S(5) atom to form PS4 tetrahedra that share  a cornercorner with one Li(1)S4 tetrahedra,  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Li(8)S4 tetrahedra, and corners with two equivalent Zn(2)S4 tetrahedra. The P(5)-S(11) bond length is 2.06 Å. The P(5)-S(17) bond length is 2.06 Å. The P(5)-S(23) bond length is 2.07 Å. The P(5)-S(5) bond length is 2.06 Å. In the sixth P site, P(6) is bonded to one S(12), one S(18), one S(24), and one S(6) atom to form PS4 tetrahedra that share  a cornercorner with one Li(12)S4 tetrahedra,  a cornercorner with one Li(2)S4 tetrahedra,  a cornercorner with one Li(5)S4 tetrahedra,  a cornercorner with one Li(6)S4 tetrahedra,  a cornercorner with one Zn(1)S4 tetrahedra, corners with two equivalent Li(11)S4 tetrahedra, corners with two equivalent Li(4)S4 tetrahedra, and corners with two equivalent Li(9)S4 tetrahedra. The P(6)-S(12) bond length is 2.06 Å. The P(6)-S(18) bond length is 2.08 Å. The P(6)-S(24) bond length is 2.06 Å. The P(6)-S(6) bond length is 2.06 Å. There are twenty-four inequivalent S sites. In the first S site, S(1) is bonded in a trigonal non-coplanar geometry to one Li(1), one Li(3), and one P(1) atom. In the second S site, S(2) is bonded to one Li(12), one Li(2), one Zn(2), and one P(2) atom to form corner-sharing SLi2ZnP tetrahedra. In the third S site, S(3) is bonded in a trigonal non-coplanar geometry to one Li(4), one Zn(1), and one P(3) atom. In the fourth S site, S(4) is bonded to one Li(10), one Li(3), one Zn(1), and one P(4) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(10)Li3P tetrahedra, and corners with two equivalent S(13)Li3P tetrahedra. In the fifth S site, S(5) is bonded in a trigonal non-coplanar geometry to one Li(1), one Zn(2), and one P(5) atom. In the sixth S site, S(6) is bonded to one Li(11), one Li(2), one Li(4), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids. In the seventh S site, S(7) is bonded in a trigonal non-coplanar geometry to one Li(7), one Zn(3), and one P(1) atom. In the eighth S site, S(8) is bonded to one Li(12), one Li(5), one Li(8), and one P(2) atom to form SLi3P tetrahedra that share  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(24)Li3P tetrahedra, corners with two equivalent S(2)Li2ZnP tetrahedra, corners with two equivalent S(17)Li3P tetrahedra, and  a cornercorner with one S(15)Li3P trigonal pyramid. In the ninth S site, S(9) is bonded in a trigonal non-coplanar geometry to one Li(6), one Li(9), and one P(3) atom. In the tenth S site, S(10) is bonded to one Li(10), one Li(6), one Li(7), and one P(4) atom to form SLi3P tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(4)Li2ZnP tetrahedra, and corners with two equivalent S(13)Li3P tetrahedra. In the eleventh S site, S(11) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(3), and one P(5) atom. In the twelfth S site, S(12) is bonded to one Li(11), one Li(5), one Li(9), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, corners with two equivalent S(6)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids. In the thirteenth S site, S(13) is bonded to one Li(10), one Li(3), one Li(7), and one P(3) atom to form SLi3P tetrahedra that share  a cornercorner with one S(19)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra, corners with two equivalent S(4)Li2ZnP tetrahedra, and corners with two equivalent S(10)Li3P tetrahedra. In the fourteenth S site, S(14) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(2), and one P(1) atom. In the fifteenth S site, S(15) is bonded to one Li(11), one Li(4), one Li(9), and one P(2) atom to form SLi3P trigonal pyramids that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(21)Li2ZnP tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(24)Li3P tetrahedra, and corners with two equivalent S(6)Li3P tetrahedra. In the sixteenth S site, S(16) is bonded in a trigonal non-coplanar geometry to one Li(1), one Zn(3), and one P(4) atom. In the seventeenth S site, S(17) is bonded to one Li(12), one Li(2), one Li(5), and one P(5) atom to form SLi3P tetrahedra that share  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(24)Li3P tetrahedra,  a cornercorner with one S(6)Li3P tetrahedra, corners with two equivalent S(2)Li2ZnP tetrahedra, and corners with two equivalent S(8)Li3P tetrahedra. In the eighteenth S site, S(18) is bonded in a trigonal non-coplanar geometry to one Li(6), one Zn(1), and one P(6) atom. In the nineteenth S site, S(19) is bonded to one Li(1), one Li(10), one Zn(3), and one P(1) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(4)Li2ZnP tetrahedra,  a cornercorner with one S(10)Li3P tetrahedra, and  a cornercorner with one S(13)Li3P tetrahedra. In the twentieth S site, S(20) is bonded in a trigonal non-coplanar geometry to one Li(2), one Li(5), and one P(2) atom. In the twenty-first S site, S(21) is bonded to one Li(11), one Li(6), one Zn(1), and one P(3) atom to form SLi2ZnP tetrahedra that share  a cornercorner with one S(4)Li2ZnP tetrahedra,  a cornercorner with one S(10)Li3P tetrahedra,  a cornercorner with one S(12)Li3P tetrahedra,  a cornercorner with one S(13)Li3P tetrahedra,  a cornercorner with one S(6)Li3P tetrahedra, and  a cornercorner with one S(15)Li3P trigonal pyramid. In the twenty-second S site, S(22) is bonded in a trigonal non-coplanar geometry to one Li(3), one Li(7), and one P(4) atom. In the twenty-third S site, S(23) is bonded in a trigonal non-coplanar geometry to one Li(8), one Zn(2), and one P(5) atom. In the twenty-fourth S site, S(24) is bonded to one Li(12), one Li(4), one Li(9), and one P(6) atom to form SLi3P tetrahedra that share  a cornercorner with one S(2)Li2ZnP tetrahedra,  a cornercorner with one S(17)Li3P tetrahedra,  a cornercorner with one S(8)Li3P tetrahedra, corners with two equivalent S(12)Li3P tetrahedra, corners with two equivalent S(6)Li3P tetrahedra, and corners with two equivalent S(15)Li3P trigonal pyramids.