Na2Zn3(SiO4)2 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(16), one O(20), one O(21), one O(22), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, corners with two equivalent Si(5)O4 tetrahedra,  an edgeedge with one Zn(1)O4 tetrahedra, and  an edgeedge with one Zn(4)O4 tetrahedra. In the second Na site, Na(2) is bonded in a distorted see-saw-like geometry to one O(12), one O(16), one O(20), and one O(24) atom. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(12), one O(17), one O(19), one O(24), and one O(7) atom. In the fourth Na site, Na(4) is bonded to one O(17), one O(19), one O(23), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. In the fifth Na site, Na(5) is bonded to one O(10), one O(13), one O(15), one O(18), one O(2), and one O(23) atom to form NaO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra,  an edgeedge with one Zn(3)O4 tetrahedra,  an edgeedge with one Zn(7)O4 tetrahedra, and  an edgeedge with one Zn(9)O4 tetrahedra. In the sixth Na site, Na(6) is bonded in a distorted see-saw-like geometry to one O(11), one O(13), one O(2), and one O(8) atom. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(21), one O(6), and one O(8) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the second Zn site, Zn(2) is bonded to one O(14), one O(19), one O(21), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Si(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. In the third Zn site, Zn(3) is bonded to one O(10), one O(18), one O(22), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(9)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 84°. In the fourth Zn site, Zn(4) is bonded to one O(16), one O(20), one O(22), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(14), one O(3), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Zn(8)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. In the sixth Zn site, Zn(6) is bonded to one O(12), one O(17), one O(24), and one O(6) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, and corners with two equivalent Si(1)O4 tetrahedra. In the seventh Zn site, Zn(7) is bonded to one O(13), one O(15), one O(2), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the eighth Zn site, Zn(8) is bonded to one O(1), one O(15), one O(5), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. In the ninth Zn site, Zn(9) is bonded to one O(10), one O(18), one O(23), and one O(3) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent Si(4)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. There are six inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(11), one O(14), one O(24), and one O(6) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Zn(6)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the second Si site, Si(2) is bonded to one O(15), one O(19), one O(23), and one O(5) atom to form SiO4 tetrahedra that share corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Zn(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the third Si site, Si(3) is bonded to one O(10), one O(13), one O(22), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, and corners with two equivalent Zn(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-65°. In the fourth Si site, Si(4) is bonded to one O(1), one O(17), one O(18), and one O(3) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Zn(9)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Si site, Si(5) is bonded to one O(12), one O(20), one O(21), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra, and corners with two equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-65°. In the sixth Si site, Si(6) is bonded to one O(16), one O(2), one O(4), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra, and corners with two equivalent Zn(7)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Zn(5), one Zn(8), and one Si(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(5), one Na(6), one Zn(7), and one Si(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Zn(5), one Zn(9), and one Si(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zn(4), one Zn(7), and one Si(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Zn(5), one Zn(8), and one Si(2) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Zn(1), one Zn(6), and one Si(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(5) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(6), one Zn(1), and one Si(3) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Zn(3), one Zn(8), and one Si(6) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Zn(3), one Zn(9), and one Si(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Na(1), one Na(6), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Zn(6), and one Si(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Na(5), one Na(6), one Zn(7), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Zn(2), one Zn(5), and one Si(1) atom. In the fifteenth O site, O(15) is bonded to one Na(5), one Zn(7), one Zn(8), and one Si(2) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Zn(4), and one Si(6) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(6), and one Si(4) atom. In the eighteenth O site, O(18) is bonded to one Na(5), one Zn(3), one Zn(9), and one Si(4) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(2) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Zn(4), and one Si(5) atom. In the twenty-first O site, O(21) is bonded in a distorted tetrahedral geometry to one Na(1), one Zn(1), one Zn(2), and one Si(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Na(1), one Zn(3), one Zn(4), and one Si(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Na(4), one Na(5), one Zn(9), and one Si(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted tetrahedral geometry to one Na(2), one Na(3), one Zn(6), and one Si(1) atom.
Na2Zn3(SiO4)2 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(16), one O(20), one O(21), one O(22), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, corners with two equivalent Si(5)O4 tetrahedra,  an edgeedge with one Zn(1)O4 tetrahedra, and  an edgeedge with one Zn(4)O4 tetrahedra. The Na(1)-O(11) bond length is 2.54 Å. The Na(1)-O(16) bond length is 2.58 Å. The Na(1)-O(20) bond length is 2.27 Å. The Na(1)-O(21) bond length is 2.62 Å. The Na(1)-O(22) bond length is 2.67 Å. The Na(1)-O(8) bond length is 2.30 Å. In the second Na site, Na(2) is bonded in a distorted see-saw-like geometry to one O(12), one O(16), one O(20), and one O(24) atom. The Na(2)-O(12) bond length is 2.29 Å. The Na(2)-O(16) bond length is 2.44 Å. The Na(2)-O(20) bond length is 2.32 Å. The Na(2)-O(24) bond length is 2.40 Å. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(12), one O(17), one O(19), one O(24), and one O(7) atom. The Na(3)-O(12) bond length is 2.40 Å. The Na(3)-O(17) bond length is 2.35 Å. The Na(3)-O(19) bond length is 2.64 Å. The Na(3)-O(24) bond length is 2.39 Å. The Na(3)-O(7) bond length is 2.42 Å. In the fourth Na site, Na(4) is bonded to one O(17), one O(19), one O(23), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. The Na(4)-O(17) bond length is 2.42 Å. The Na(4)-O(19) bond length is 2.20 Å. The Na(4)-O(23) bond length is 2.36 Å. The Na(4)-O(7) bond length is 2.28 Å. In the fifth Na site, Na(5) is bonded to one O(10), one O(13), one O(15), one O(18), one O(2), and one O(23) atom to form NaO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra,  an edgeedge with one Zn(3)O4 tetrahedra,  an edgeedge with one Zn(7)O4 tetrahedra, and  an edgeedge with one Zn(9)O4 tetrahedra. The Na(5)-O(10) bond length is 2.50 Å. The Na(5)-O(13) bond length is 2.35 Å. The Na(5)-O(15) bond length is 2.44 Å. The Na(5)-O(18) bond length is 2.54 Å. The Na(5)-O(2) bond length is 2.45 Å. The Na(5)-O(23) bond length is 2.36 Å. In the sixth Na site, Na(6) is bonded in a distorted see-saw-like geometry to one O(11), one O(13), one O(2), and one O(8) atom. The Na(6)-O(11) bond length is 2.37 Å. The Na(6)-O(13) bond length is 2.35 Å. The Na(6)-O(2) bond length is 2.43 Å. The Na(6)-O(8) bond length is 2.35 Å. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(21), one O(6), and one O(8) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. The Zn(1)-O(11) bond length is 1.95 Å. The Zn(1)-O(21) bond length is 2.03 Å. The Zn(1)-O(6) bond length is 2.01 Å. The Zn(1)-O(8) bond length is 2.00 Å. In the second Zn site, Zn(2) is bonded to one O(14), one O(19), one O(21), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Si(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. The Zn(2)-O(14) bond length is 1.99 Å. The Zn(2)-O(19) bond length is 1.99 Å. The Zn(2)-O(21) bond length is 2.03 Å. The Zn(2)-O(7) bond length is 1.98 Å. In the third Zn site, Zn(3) is bonded to one O(10), one O(18), one O(22), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(9)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 84°. The Zn(3)-O(10) bond length is 2.01 Å. The Zn(3)-O(18) bond length is 2.06 Å. The Zn(3)-O(22) bond length is 1.99 Å. The Zn(3)-O(9) bond length is 1.96 Å. In the fourth Zn site, Zn(4) is bonded to one O(16), one O(20), one O(22), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. The Zn(4)-O(16) bond length is 1.94 Å. The Zn(4)-O(20) bond length is 1.94 Å. The Zn(4)-O(22) bond length is 2.06 Å. The Zn(4)-O(4) bond length is 2.02 Å. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(14), one O(3), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Zn(8)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. The Zn(5)-O(1) bond length is 2.00 Å. The Zn(5)-O(14) bond length is 1.96 Å. The Zn(5)-O(3) bond length is 2.00 Å. The Zn(5)-O(5) bond length is 2.02 Å. In the sixth Zn site, Zn(6) is bonded to one O(12), one O(17), one O(24), and one O(6) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, and corners with two equivalent Si(1)O4 tetrahedra. The Zn(6)-O(12) bond length is 1.98 Å. The Zn(6)-O(17) bond length is 2.02 Å. The Zn(6)-O(24) bond length is 1.95 Å. The Zn(6)-O(6) bond length is 2.00 Å. In the seventh Zn site, Zn(7) is bonded to one O(13), one O(15), one O(2), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. The Zn(7)-O(13) bond length is 1.97 Å. The Zn(7)-O(15) bond length is 2.08 Å. The Zn(7)-O(2) bond length is 1.95 Å. The Zn(7)-O(4) bond length is 2.00 Å. In the eighth Zn site, Zn(8) is bonded to one O(1), one O(15), one O(5), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. The Zn(8)-O(1) bond length is 1.99 Å. The Zn(8)-O(15) bond length is 2.01 Å. The Zn(8)-O(5) bond length is 1.97 Å. The Zn(8)-O(9) bond length is 1.99 Å. In the ninth Zn site, Zn(9) is bonded to one O(10), one O(18), one O(23), and one O(3) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent Si(4)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. The Zn(9)-O(10) bond length is 2.02 Å. The Zn(9)-O(18) bond length is 2.00 Å. The Zn(9)-O(23) bond length is 1.98 Å. The Zn(9)-O(3) bond length is 2.01 Å. There are six inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(11), one O(14), one O(24), and one O(6) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Zn(6)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. The Si(1)-O(11) bond length is 1.65 Å. The Si(1)-O(14) bond length is 1.65 Å. The Si(1)-O(24) bond length is 1.64 Å. The Si(1)-O(6) bond length is 1.67 Å. In the second Si site, Si(2) is bonded to one O(15), one O(19), one O(23), and one O(5) atom to form SiO4 tetrahedra that share corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Zn(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-62°. The Si(2)-O(15) bond length is 1.68 Å. The Si(2)-O(19) bond length is 1.63 Å. The Si(2)-O(23) bond length is 1.65 Å. The Si(2)-O(5) bond length is 1.66 Å. In the third Si site, Si(3) is bonded to one O(10), one O(13), one O(22), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, and corners with two equivalent Zn(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-65°. The Si(3)-O(10) bond length is 1.68 Å. The Si(3)-O(13) bond length is 1.64 Å. The Si(3)-O(22) bond length is 1.67 Å. The Si(3)-O(8) bond length is 1.63 Å. In the fourth Si site, Si(4) is bonded to one O(1), one O(17), one O(18), and one O(3) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Zn(9)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. The Si(4)-O(1) bond length is 1.65 Å. The Si(4)-O(17) bond length is 1.62 Å. The Si(4)-O(18) bond length is 1.68 Å. The Si(4)-O(3) bond length is 1.66 Å. In the fifth Si site, Si(5) is bonded to one O(12), one O(20), one O(21), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra, and corners with two equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-65°. The Si(5)-O(12) bond length is 1.64 Å. The Si(5)-O(20) bond length is 1.64 Å. The Si(5)-O(21) bond length is 1.68 Å. The Si(5)-O(7) bond length is 1.65 Å. In the sixth Si site, Si(6) is bonded to one O(16), one O(2), one O(4), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra, and corners with two equivalent Zn(7)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. The Si(6)-O(16) bond length is 1.64 Å. The Si(6)-O(2) bond length is 1.64 Å. The Si(6)-O(4) bond length is 1.67 Å. The Si(6)-O(9) bond length is 1.66 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Zn(5), one Zn(8), and one Si(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(5), one Na(6), one Zn(7), and one Si(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Zn(5), one Zn(9), and one Si(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zn(4), one Zn(7), and one Si(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Zn(5), one Zn(8), and one Si(2) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Zn(1), one Zn(6), and one Si(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(5) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(6), one Zn(1), and one Si(3) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Zn(3), one Zn(8), and one Si(6) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Zn(3), one Zn(9), and one Si(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Na(1), one Na(6), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Zn(6), and one Si(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Na(5), one Na(6), one Zn(7), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Zn(2), one Zn(5), and one Si(1) atom. In the fifteenth O site, O(15) is bonded to one Na(5), one Zn(7), one Zn(8), and one Si(2) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Zn(4), and one Si(6) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(6), and one Si(4) atom. In the eighteenth O site, O(18) is bonded to one Na(5), one Zn(3), one Zn(9), and one Si(4) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(2) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Zn(4), and one Si(5) atom. In the twenty-first O site, O(21) is bonded in a distorted tetrahedral geometry to one Na(1), one Zn(1), one Zn(2), and one Si(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Na(1), one Zn(3), one Zn(4), and one Si(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Na(4), one Na(5), one Zn(9), and one Si(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted tetrahedral geometry to one Na(2), one Na(3), one Zn(6), and one Si(1) atom.