Pr4N2S3 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 6-coordinate geometry to one N(4), one N(7), one S(2), one S(3), one S(7), and one S(9) atom. In the second Pr site, Pr(2) is bonded in a 7-coordinate geometry to one N(2), one N(6), one S(1), one S(11), one S(12), one S(6), and one S(7) atom. In the third Pr site, Pr(3) is bonded in a 2-coordinate geometry to one N(1), one N(7), one S(1), one S(10), one S(3), one S(6), and one S(9) atom. In the fourth Pr site, Pr(4) is bonded in a 6-coordinate geometry to one N(2), one N(8), one S(1), one S(5), one S(8), and one S(9) atom. In the fifth Pr site, Pr(5) is bonded in a 6-coordinate geometry to one N(5), one N(6), one S(10), one S(11), one S(12), and one S(5) atom. In the sixth Pr site, Pr(6) is bonded in a 6-coordinate geometry to one N(2), one N(7), one S(10), one S(12), one S(2), and one S(8) atom. In the seventh Pr site, Pr(7) is bonded in a 7-coordinate geometry to one N(4), one N(7), one S(11), one S(4), one S(5), one S(6), and one S(8) atom. In the eighth Pr site, Pr(8) is bonded in a 6-coordinate geometry to one N(4), one N(8), one S(12), one S(3), one S(5), and one S(6) atom. In the ninth Pr site, Pr(9) is bonded in a 6-coordinate geometry to one N(1), one N(6), one S(4), one S(5), one S(7), and one S(9) atom. In the tenth Pr site, Pr(10) is bonded in a 6-coordinate geometry to one N(1), one N(3), one S(12), one S(2), one S(4), and one S(6) atom. In the eleventh Pr site, Pr(11) is bonded in a 7-coordinate geometry to one N(5), one N(8), one S(10), one S(6), one S(7), one S(8), and one S(9) atom. In the twelfth Pr site, Pr(12) is bonded in a 7-coordinate geometry to one N(5), one N(6), one S(1), one S(2), one S(3), one S(4), and one S(8) atom. In the thirteenth Pr site, Pr(13) is bonded in a 7-coordinate geometry to one N(3), one N(4), one S(1), one S(10), one S(12), one S(4), and one S(7) atom. In the fourteenth Pr site, Pr(14) is bonded in a 7-coordinate geometry to one N(2), one N(8), one S(10), one S(11), one S(2), one S(3), and one S(4) atom. In the fifteenth Pr site, Pr(15) is bonded in a 2-coordinate geometry to one N(1), one N(3), one S(11), one S(3), one S(5), one S(7), and one S(8) atom. In the sixteenth Pr site, Pr(16) is bonded in a 6-coordinate geometry to one N(3), one N(5), one S(1), one S(11), one S(2), and one S(9) atom. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Pr(10), one Pr(15), one Pr(3), and one Pr(9) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(3)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 23-69°. In the second N site, N(2) is bonded to one Pr(14), one Pr(2), one Pr(4), and one Pr(6) atom to form NPr4 tetrahedra that share  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra, and  an edgeedge with one N(8)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 22-68°. In the third N site, N(3) is bonded to one Pr(10), one Pr(13), one Pr(15), and one Pr(16) atom to form NPr4 tetrahedra that share  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(1)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-79°. In the fourth N site, N(4) is bonded to one Pr(1), one Pr(13), one Pr(7), and one Pr(8) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(7)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 22-70°. In the fifth N site, N(5) is bonded to one Pr(11), one Pr(12), one Pr(16), and one Pr(5) atom to form NPr4 tetrahedra that share  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(6)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-69°. In the sixth N site, N(6) is bonded to one Pr(12), one Pr(2), one Pr(5), and one Pr(9) atom to form NPr4 tetrahedra that share  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(5)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 18-82°. In the seventh N site, N(7) is bonded to one Pr(1), one Pr(3), one Pr(6), and one Pr(7) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(4)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-81°. In the eighth N site, N(8) is bonded to one Pr(11), one Pr(14), one Pr(4), and one Pr(8) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(2)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 21-79°. There are twelve inequivalent S sites. In the first S site, S(1) is bonded to one Pr(12), one Pr(13), one Pr(16), one Pr(2), one Pr(3), and one Pr(4) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(5)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(5)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(9)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-60°. In the second S site, S(2) is bonded to one Pr(1), one Pr(10), one Pr(12), one Pr(14), one Pr(16), and one Pr(6) atom to form SPr6 octahedra that share  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  a faceface with one S(3)Pr6 octahedra, and  a faceface with one S(4)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 33-60°. In the third S site, S(3) is bonded to one Pr(1), one Pr(12), one Pr(14), one Pr(15), one Pr(3), and one Pr(8) atom to form SPr6 octahedra that share  a cornercorner with one S(12)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(7)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(2)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 20-60°. In the fourth S site, S(4) is bonded to one Pr(10), one Pr(12), one Pr(13), one Pr(14), one Pr(7), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(3)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(2)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 19-57°. In the fifth S site, S(5) is bonded to one Pr(15), one Pr(4), one Pr(5), one Pr(7), one Pr(8), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra,  a faceface with one S(11)Pr6 octahedra, and  a faceface with one S(8)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 34-59°. In the sixth S site, S(6) is bonded to one Pr(10), one Pr(11), one Pr(2), one Pr(3), one Pr(7), and one Pr(8) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(2)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(4)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(12)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-57°. In the seventh S site, S(7) is bonded to one Pr(1), one Pr(11), one Pr(13), one Pr(15), one Pr(2), and one Pr(9) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(2)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(1)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(9)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-59°. In the eighth S site, S(8) is bonded to one Pr(11), one Pr(12), one Pr(15), one Pr(4), one Pr(6), and one Pr(7) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(8)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra, and  a faceface with one S(5)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 19-59°. In the ninth S site, S(9) is bonded to one Pr(1), one Pr(11), one Pr(16), one Pr(3), one Pr(4), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra,  a faceface with one S(1)Pr6 octahedra, and  a faceface with one S(7)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. In the tenth S site, S(10) is bonded to one Pr(11), one Pr(13), one Pr(14), one Pr(3), one Pr(5), and one Pr(6) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(5)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(2)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(12)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-59°. In the eleventh S site, S(11) is bonded to one Pr(14), one Pr(15), one Pr(16), one Pr(2), one Pr(5), and one Pr(7) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(6)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra, and  a faceface with one S(5)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 20-58°. In the twelfth S site, S(12) is bonded to one Pr(10), one Pr(13), one Pr(2), one Pr(5), one Pr(6), and one Pr(8) atom to form SPr6 octahedra that share  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra,  a faceface with one S(10)Pr6 octahedra, and  a faceface with one S(6)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 40-60°.
Pr4N2S3 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 6-coordinate geometry to one N(4), one N(7), one S(2), one S(3), one S(7), and one S(9) atom. The Pr(1)-N(4) bond length is 2.31 Å. The Pr(1)-N(7) bond length is 2.31 Å. The Pr(1)-S(2) bond length is 2.90 Å. The Pr(1)-S(3) bond length is 2.95 Å. The Pr(1)-S(7) bond length is 2.95 Å. The Pr(1)-S(9) bond length is 2.87 Å. In the second Pr site, Pr(2) is bonded in a 7-coordinate geometry to one N(2), one N(6), one S(1), one S(11), one S(12), one S(6), and one S(7) atom. The Pr(2)-N(2) bond length is 2.34 Å. The Pr(2)-N(6) bond length is 2.41 Å. The Pr(2)-S(1) bond length is 3.10 Å. The Pr(2)-S(11) bond length is 3.02 Å. The Pr(2)-S(12) bond length is 3.09 Å. The Pr(2)-S(6) bond length is 3.50 Å. The Pr(2)-S(7) bond length is 3.05 Å. In the third Pr site, Pr(3) is bonded in a 2-coordinate geometry to one N(1), one N(7), one S(1), one S(10), one S(3), one S(6), and one S(9) atom. The Pr(3)-N(1) bond length is 2.31 Å. The Pr(3)-N(7) bond length is 2.40 Å. The Pr(3)-S(1) bond length is 3.48 Å. The Pr(3)-S(10) bond length is 3.08 Å. The Pr(3)-S(3) bond length is 3.07 Å. The Pr(3)-S(6) bond length is 3.09 Å. The Pr(3)-S(9) bond length is 3.04 Å. In the fourth Pr site, Pr(4) is bonded in a 6-coordinate geometry to one N(2), one N(8), one S(1), one S(5), one S(8), and one S(9) atom. The Pr(4)-N(2) bond length is 2.34 Å. The Pr(4)-N(8) bond length is 2.42 Å. The Pr(4)-S(1) bond length is 2.96 Å. The Pr(4)-S(5) bond length is 2.81 Å. The Pr(4)-S(8) bond length is 2.95 Å. The Pr(4)-S(9) bond length is 2.93 Å. In the fifth Pr site, Pr(5) is bonded in a 6-coordinate geometry to one N(5), one N(6), one S(10), one S(11), one S(12), and one S(5) atom. The Pr(5)-N(5) bond length is 2.40 Å. The Pr(5)-N(6) bond length is 2.41 Å. The Pr(5)-S(10) bond length is 2.93 Å. The Pr(5)-S(11) bond length is 2.90 Å. The Pr(5)-S(12) bond length is 2.88 Å. The Pr(5)-S(5) bond length is 2.93 Å. In the sixth Pr site, Pr(6) is bonded in a 6-coordinate geometry to one N(2), one N(7), one S(10), one S(12), one S(2), and one S(8) atom. The Pr(6)-N(2) bond length is 2.39 Å. The Pr(6)-N(7) bond length is 2.39 Å. The Pr(6)-S(10) bond length is 2.95 Å. The Pr(6)-S(12) bond length is 2.91 Å. The Pr(6)-S(2) bond length is 2.96 Å. The Pr(6)-S(8) bond length is 2.93 Å. In the seventh Pr site, Pr(7) is bonded in a 7-coordinate geometry to one N(4), one N(7), one S(11), one S(4), one S(5), one S(6), and one S(8) atom. The Pr(7)-N(4) bond length is 2.34 Å. The Pr(7)-N(7) bond length is 2.36 Å. The Pr(7)-S(11) bond length is 3.10 Å. The Pr(7)-S(4) bond length is 3.23 Å. The Pr(7)-S(5) bond length is 3.06 Å. The Pr(7)-S(6) bond length is 3.14 Å. The Pr(7)-S(8) bond length is 3.41 Å. In the eighth Pr site, Pr(8) is bonded in a 6-coordinate geometry to one N(4), one N(8), one S(12), one S(3), one S(5), and one S(6) atom. The Pr(8)-N(4) bond length is 2.34 Å. The Pr(8)-N(8) bond length is 2.35 Å. The Pr(8)-S(12) bond length is 2.93 Å. The Pr(8)-S(3) bond length is 2.95 Å. The Pr(8)-S(5) bond length is 2.94 Å. The Pr(8)-S(6) bond length is 2.94 Å. In the ninth Pr site, Pr(9) is bonded in a 6-coordinate geometry to one N(1), one N(6), one S(4), one S(5), one S(7), and one S(9) atom. The Pr(9)-N(1) bond length is 2.32 Å. The Pr(9)-N(6) bond length is 2.41 Å. The Pr(9)-S(4) bond length is 2.90 Å. The Pr(9)-S(5) bond length is 2.98 Å. The Pr(9)-S(7) bond length is 2.96 Å. The Pr(9)-S(9) bond length is 2.90 Å. In the tenth Pr site, Pr(10) is bonded in a 6-coordinate geometry to one N(1), one N(3), one S(12), one S(2), one S(4), and one S(6) atom. The Pr(10)-N(1) bond length is 2.37 Å. The Pr(10)-N(3) bond length is 2.33 Å. The Pr(10)-S(12) bond length is 2.87 Å. The Pr(10)-S(2) bond length is 2.92 Å. The Pr(10)-S(4) bond length is 3.01 Å. The Pr(10)-S(6) bond length is 2.95 Å. In the eleventh Pr site, Pr(11) is bonded in a 7-coordinate geometry to one N(5), one N(8), one S(10), one S(6), one S(7), one S(8), and one S(9) atom. The Pr(11)-N(5) bond length is 2.35 Å. The Pr(11)-N(8) bond length is 2.45 Å. The Pr(11)-S(10) bond length is 3.13 Å. The Pr(11)-S(6) bond length is 3.04 Å. The Pr(11)-S(7) bond length is 3.48 Å. The Pr(11)-S(8) bond length is 3.01 Å. The Pr(11)-S(9) bond length is 2.98 Å. In the twelfth Pr site, Pr(12) is bonded in a 7-coordinate geometry to one N(5), one N(6), one S(1), one S(2), one S(3), one S(4), and one S(8) atom. The Pr(12)-N(5) bond length is 2.38 Å. The Pr(12)-N(6) bond length is 2.37 Å. The Pr(12)-S(1) bond length is 3.11 Å. The Pr(12)-S(2) bond length is 3.07 Å. The Pr(12)-S(3) bond length is 3.21 Å. The Pr(12)-S(4) bond length is 3.25 Å. The Pr(12)-S(8) bond length is 3.21 Å. In the thirteenth Pr site, Pr(13) is bonded in a 7-coordinate geometry to one N(3), one N(4), one S(1), one S(10), one S(12), one S(4), and one S(7) atom. The Pr(13)-N(3) bond length is 2.43 Å. The Pr(13)-N(4) bond length is 2.44 Å. The Pr(13)-S(1) bond length is 3.02 Å. The Pr(13)-S(10) bond length is 3.51 Å. The Pr(13)-S(12) bond length is 3.06 Å. The Pr(13)-S(4) bond length is 3.04 Å. The Pr(13)-S(7) bond length is 3.03 Å. In the fourteenth Pr site, Pr(14) is bonded in a 7-coordinate geometry to one N(2), one N(8), one S(10), one S(11), one S(2), one S(3), and one S(4) atom. The Pr(14)-N(2) bond length is 2.40 Å. The Pr(14)-N(8) bond length is 2.32 Å. The Pr(14)-S(10) bond length is 3.13 Å. The Pr(14)-S(11) bond length is 3.24 Å. The Pr(14)-S(2) bond length is 2.99 Å. The Pr(14)-S(3) bond length is 3.31 Å. The Pr(14)-S(4) bond length is 3.18 Å. In the fifteenth Pr site, Pr(15) is bonded in a 2-coordinate geometry to one N(1), one N(3), one S(11), one S(3), one S(5), one S(7), and one S(8) atom. The Pr(15)-N(1) bond length is 2.36 Å. The Pr(15)-N(3) bond length is 2.30 Å. The Pr(15)-S(11) bond length is 3.38 Å. The Pr(15)-S(3) bond length is 3.18 Å. The Pr(15)-S(5) bond length is 3.06 Å. The Pr(15)-S(7) bond length is 3.10 Å. The Pr(15)-S(8) bond length is 3.19 Å. In the sixteenth Pr site, Pr(16) is bonded in a 6-coordinate geometry to one N(3), one N(5), one S(1), one S(11), one S(2), and one S(9) atom. The Pr(16)-N(3) bond length is 2.38 Å. The Pr(16)-N(5) bond length is 2.35 Å. The Pr(16)-S(1) bond length is 2.95 Å. The Pr(16)-S(11) bond length is 3.00 Å. The Pr(16)-S(2) bond length is 2.99 Å. The Pr(16)-S(9) bond length is 2.92 Å. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Pr(10), one Pr(15), one Pr(3), and one Pr(9) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(3)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 23-69°. In the second N site, N(2) is bonded to one Pr(14), one Pr(2), one Pr(4), and one Pr(6) atom to form NPr4 tetrahedra that share  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra, and  an edgeedge with one N(8)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 22-68°. In the third N site, N(3) is bonded to one Pr(10), one Pr(13), one Pr(15), and one Pr(16) atom to form NPr4 tetrahedra that share  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(1)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-79°. In the fourth N site, N(4) is bonded to one Pr(1), one Pr(13), one Pr(7), and one Pr(8) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(7)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 22-70°. In the fifth N site, N(5) is bonded to one Pr(11), one Pr(12), one Pr(16), and one Pr(5) atom to form NPr4 tetrahedra that share  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(6)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-69°. In the sixth N site, N(6) is bonded to one Pr(12), one Pr(2), one Pr(5), and one Pr(9) atom to form NPr4 tetrahedra that share  a cornercorner with one S(10)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra,  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra, and  an edgeedge with one N(5)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 18-82°. In the seventh N site, N(7) is bonded to one Pr(1), one Pr(3), one Pr(6), and one Pr(7) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(5)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(4)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-81°. In the eighth N site, N(8) is bonded to one Pr(11), one Pr(14), one Pr(4), and one Pr(8) atom to form NPr4 tetrahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(12)Pr6 octahedra,  a cornercorner with one S(2)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra, and  an edgeedge with one N(2)Pr4 tetrahedra. The corner-sharing octahedral tilt angles range from 21-79°. There are twelve inequivalent S sites. In the first S site, S(1) is bonded to one Pr(12), one Pr(13), one Pr(16), one Pr(2), one Pr(3), and one Pr(4) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(5)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(5)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(9)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-60°. In the second S site, S(2) is bonded to one Pr(1), one Pr(10), one Pr(12), one Pr(14), one Pr(16), and one Pr(6) atom to form SPr6 octahedra that share  a cornercorner with one S(6)Pr6 octahedra,  a cornercorner with one S(7)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  a faceface with one S(3)Pr6 octahedra, and  a faceface with one S(4)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 33-60°. In the third S site, S(3) is bonded to one Pr(1), one Pr(12), one Pr(14), one Pr(15), one Pr(3), and one Pr(8) atom to form SPr6 octahedra that share  a cornercorner with one S(12)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(7)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(2)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 20-60°. In the fourth S site, S(4) is bonded to one Pr(10), one Pr(12), one Pr(13), one Pr(14), one Pr(7), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(3)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(2)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 19-57°. In the fifth S site, S(5) is bonded to one Pr(15), one Pr(4), one Pr(5), one Pr(7), one Pr(8), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(1)Pr6 octahedra,  a cornercorner with one S(10)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  an edgeedge with one S(12)Pr6 octahedra,  an edgeedge with one S(9)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra,  a faceface with one S(11)Pr6 octahedra, and  a faceface with one S(8)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 34-59°. In the sixth S site, S(6) is bonded to one Pr(10), one Pr(11), one Pr(2), one Pr(3), one Pr(7), and one Pr(8) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(2)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(4)Pr4 tetrahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(12)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-57°. In the seventh S site, S(7) is bonded to one Pr(1), one Pr(11), one Pr(13), one Pr(15), one Pr(2), and one Pr(9) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(2)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(5)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(1)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra, and  a faceface with one S(9)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-59°. In the eighth S site, S(8) is bonded to one Pr(11), one Pr(12), one Pr(15), one Pr(4), one Pr(6), and one Pr(7) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(8)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra, and  a faceface with one S(5)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 19-59°. In the ninth S site, S(9) is bonded to one Pr(1), one Pr(11), one Pr(16), one Pr(3), one Pr(4), and one Pr(9) atom to form SPr6 octahedra that share  a cornercorner with one S(11)Pr6 octahedra,  a cornercorner with one S(4)Pr6 octahedra, corners with two equivalent S(10)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra, corners with two equivalent S(6)Pr6 octahedra, corners with two equivalent S(8)Pr6 octahedra,  a cornercorner with one N(2)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one N(1)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra,  a faceface with one S(1)Pr6 octahedra, and  a faceface with one S(7)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. In the tenth S site, S(10) is bonded to one Pr(11), one Pr(13), one Pr(14), one Pr(3), one Pr(5), and one Pr(6) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(5)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra, corners with two equivalent S(9)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(3)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(6)Pr4 tetrahedra, corners with two equivalent N(2)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(11)Pr6 octahedra,  an edgeedge with one S(3)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(5)Pr4 tetrahedra,  an edgeedge with one N(7)Pr4 tetrahedra,  an edgeedge with one N(8)Pr4 tetrahedra, and  a faceface with one S(12)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 24-59°. In the eleventh S site, S(11) is bonded to one Pr(14), one Pr(15), one Pr(16), one Pr(2), one Pr(5), and one Pr(7) atom to form distorted SPr6 octahedra that share  a cornercorner with one S(9)Pr6 octahedra, corners with two equivalent S(12)Pr6 octahedra, corners with two equivalent S(2)Pr6 octahedra, corners with two equivalent S(3)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(4)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra, corners with two equivalent N(6)Pr4 tetrahedra,  an edgeedge with one S(1)Pr6 octahedra,  an edgeedge with one S(10)Pr6 octahedra,  an edgeedge with one S(4)Pr6 octahedra,  an edgeedge with one S(6)Pr6 octahedra,  an edgeedge with one S(7)Pr6 octahedra,  an edgeedge with one S(8)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(5)Pr4 tetrahedra, and  a faceface with one S(5)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 20-58°. In the twelfth S site, S(12) is bonded to one Pr(10), one Pr(13), one Pr(2), one Pr(5), one Pr(6), and one Pr(8) atom to form SPr6 octahedra that share  a cornercorner with one S(3)Pr6 octahedra,  a cornercorner with one S(8)Pr6 octahedra, corners with two equivalent S(1)Pr6 octahedra, corners with two equivalent S(11)Pr6 octahedra, corners with two equivalent S(4)Pr6 octahedra, corners with two equivalent S(7)Pr6 octahedra,  a cornercorner with one N(1)Pr4 tetrahedra,  a cornercorner with one N(5)Pr4 tetrahedra,  a cornercorner with one N(7)Pr4 tetrahedra,  a cornercorner with one N(8)Pr4 tetrahedra,  an edgeedge with one S(2)Pr6 octahedra,  an edgeedge with one S(5)Pr6 octahedra,  an edgeedge with one N(2)Pr4 tetrahedra,  an edgeedge with one N(3)Pr4 tetrahedra,  an edgeedge with one N(4)Pr4 tetrahedra,  an edgeedge with one N(6)Pr4 tetrahedra,  a faceface with one S(10)Pr6 octahedra, and  a faceface with one S(6)Pr6 octahedra. The corner-sharing octahedral tilt angles range from 40-60°.