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Density functional theory calculation of helium segregation and decohesion effect in W110/Ni111 interphase boundary

Density functional theory (DFT) is employed to study the preferential distribution and decohesion effect of He in a W-NiFe composite consisting of W particles embedded in an Ni-based solid solution matrix. A slab containing {110}<100>W//{111}<110>Ni interface is employed as a surrogate model for the W-NiFe system. Firstly, the fracture energy of the W/Ni interphase boundary (IB) (4.37 J/m 2 ) is higher than the cleavage energy of Ni{111} (3.82 J/m^2) and lower than the cleavage energy of W{110} (6.60 J/m 2 ). The comparison shows that the cohesion of the IB is stronger than the Ni{111} planes that are away from the IB. However, the cohesion between the Ni{111} planes adjacent to the IB is found to be the weakest in this system, with a cleavage energy of 3.11 J/m 2 . Subsequently, formation energy of He is calculated in the Ni slab, W slab, and various interstitial sites in the IB. The DFT calculations show that He is significantly more stable in Ni than in W, by about 1.75 eV. Interestingly, He does not prefer to segregate at the IB as compared to bulk Ni. Nevertheless, it prefers to segregate to the region between the Ni{111} planes adjacent to the IB, and decreases the cohesion of the already weakest region. Based on an estimated amount of He gas production in 5 years under first wall neutron irradiation (neutron flux of 1.04x10 15 n/cm 2 /s), the He will decrease the cleavage energy of the weakest region by 21.2%, 15.4%, and 12.2% at 800, 1000, and 1200 C, respectively.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Materials Data on Fe2W by Materials Project

Fe2W is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. W is bonded in a 12-coordinate geometry to four equivalent W and twelve Fe atoms. There are one shorter (2.83 Å) and three longer (2.91 Å) W–W bond lengths. There are a spread of W–Fe bond distances ranging from 2.73–2.81 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six equivalent W and six equivalent Fe atoms to form a mixture of face, edge, and corner-sharing FeFe6W6 cuboctahedra. All Fe–Fe bond lengths are 2.39 Å. In the second Fe site, Fe is bonded to six equivalent W and six Fe atoms to form a mixture of face, edge, and corner-sharing FeFe6W6 cuboctahedra. There are two shorter (2.29 Å) and two longer (2.39 Å) Fe–Fe bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Fe2W2C by Materials Project

Fe2W2C crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. W is bonded in a 9-coordinate geometry to six Fe and three C atoms. There are two shorter (2.76 Å) and four longer (2.77 Å) W–Fe bond lengths. There are two shorter (2.14 Å) and one longer (2.23 Å) W–C bond lengths. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded in a distorted q6 geometry to six equivalent W and six Fe atoms. There are three shorter (2.37 Å) and three longer (2.39 Å) Fe–Fe bond lengths. In the second Fe site, Fe is bonded to six equivalent W and six equivalent Fe atoms to form FeFe6W6 cuboctahedra that share corners with six equivalent CW6 octahedra, edges with six equivalent CW6 octahedra, and faces with six equivalent FeFe6W6 cuboctahedra. The corner-sharing octahedral tilt angles are 45°. There are two inequivalent C sites. In the first C site, C is bonded to six equivalent W atoms to form CW6 octahedra that share corners with six equivalent CW6 octahedra, edges with six equivalent FeFe6W6 cuboctahedra, and faces with two equivalent CW6 octahedra. The corner-sharing octahedral tilt angles are 46°. In the second C site, C is bonded to six equivalent W atoms to form CW6 octahedra that share corners with twelve equivalent FeFe6W6 cuboctahedra and faces with four equivalent CW6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Be12W by Materials Project

Be12W crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are three inequivalent Be sites. In the first Be site, Be is bonded in a 2-coordinate geometry to nine Be and one W atom. There are a spread of Be–Be bond distances ranging from 2.15–2.35 Å. The Be–W bond length is 2.53 Å. In the second Be site, Be is bonded to ten Be and two equivalent W atoms to form a mixture of face, edge, and corner-sharing BeBe10W2 cuboctahedra. All Be–Be bond lengths are 2.10 Å. Both Be–W bond lengths are 2.76 Å. In the third Be site, Be is bonded in a 12-coordinate geometry to ten Be and two equivalent W atoms. Both Be–Be bond lengths are 2.15 Å. Both Be–W bond lengths are 2.59 Å. W is bonded in a 12-coordinate geometry to twenty Be atoms.

36 MATERIALS SCIENCE↗

Materials Data on K13Na2W7N19 by Materials Project

K13Na2W7N19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are thirteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.72–3.30 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.81–3.13 Å. In the third K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.78–3.35 Å. In the fourth K1+ site, K1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of K–N bond distances ranging from 2.76–2.97 Å. In the fifth K1+ site, K1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.85–3.15 Å. In the sixth K1+ site, K1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of K–N bond distances ranging from 2.69–3.21 Å. In the seventh K1+ site, K1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.73–3.20 Å. In the eighth K1+ site, K1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of K–N bond distances ranging from 2.70–3.12 Å. In the ninth K1+ site, K1+ is bonded in a 4-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.74–3.34 Å. In the tenth K1+ site, K1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.87–3.15 Å. In the eleventh K1+ site, K1+ is bonded in a 3-coordinate geometry to five N3- atoms. There are a spread of K–N bond distances ranging from 2.72–3.47 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.71–3.17 Å. In the thirteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of K–N bond distances ranging from 2.76–3.34 Å. There are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four N3- atoms to form distorted NaN4 tetrahedra that share corners with three WN4 tetrahedra and an edgeedge with one WN4 tetrahedra. There are a spread of Na–N bond distances ranging from 2.43–2.67 Å. In the second Na1+ site, Na1+ is bonded in a linear geometry to two equivalent N3- atoms. Both Na–N bond lengths are 2.45 Å. In the third Na1+ site, Na1+ is bonded in a distorted linear geometry to two equivalent N3- atoms. Both Na–N bond lengths are 2.68 Å. There are seven inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.80–1.93 Å. In the second W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.80–1.93 Å. In the third W6+ site, W6+ is bonded to four N3- atoms to form WN4 tetrahedra that share corners with two WN4 tetrahedra and an edgeedge with one NaN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.82–1.98 Å. In the fourth W6+ site, W6+ is bonded to four N3- atoms to form WN4 tetrahedra that share corners with two equivalent NaN4 tetrahedra and corners with three WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.80–1.91 Å. In the fifth W6+ site, W6+ is bonded to four N3- atoms to form WN4 tetrahedra that share a cornercorner with one NaN4 tetrahedra and corners with three WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.80–1.94 Å. In the sixth W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.82–1.98 Å. In the seventh W6+ site, W6+ is bonded to four N3- atoms to form corner-sharing WN4 tetrahedra. There are a spread of W–N bond distances ranging from 1.82–1.97 Å. There are nineteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a 6-coordinate geometry to five K1+ and one W6+ atom. In the second N3- site, N3- is bonded in a 1-coordinate geometry to five K1+ and one W6+ atom. In the third N3- site, N3- is bonded in a 2-coordinate geometry to five K1+, one Na1+, and one W6+ atom. In the fourth N3- site, N3- is bonded in a 1-coordinate geometry to six K1+ and one W6+ atom. In the fifth N3- site, N3- is bonded to four K1+ and one W6+ atom to form distorted NK4W trigonal bipyramids that share corners with two equivalent NK2NaW2 trigonal bipyramids and edges with two NK4W trigonal bipyramids. In the sixth N3- site, N3- is bonded in a 5-coordinate geometry to three K1+ and two W6+ atoms. In the seventh N3- site, N3- is bonded in a 5-coordinate geometry to three K1+, one Na1+, and one W6+ atom. In the eighth N3- site, N3- is bonded in a 6-coordinate geometry to five K1+ and one W6+ atom. In the ninth N3- site, N3- is bonded in a 2-coordinate geometry to two K1+ and two W6+ atoms. In the tenth N3- site, N3- is bonded in a 5-coordinate geometry to three K1+, one Na1+, and one W6+ atom. In the eleventh N3- site, N3- is bonded in a 4-coordinate geometry to three K1+ and two W6+ atoms. In the twelfth N3- site, N3- is bonded in a 6-coordinate geometry to five K1+ and one W6+ atom. In the thirteenth N3- site, N3- is bonded in a distorted see-saw-like geometry to two K1+ and two W6+ atoms. In the fourteenth N3- site, N3- is bonded in a 6-coordinate geometry to five K1+ and one W6+ atom. In the fifteenth N3- site, N3- is bonded in a 2-coordinate geometry to three K1+ and two W6+ atoms. In the sixteenth N3- site, N3- is bonded to two K1+, one Na1+, and two W6+ atoms to form distorted NK2NaW2 trigonal bipyramids that share corners with three NK2NaW2 trigonal bipyramids and an edgeedge with one NK4W trigonal bipyramid. In the seventeenth N3- site, N3- is bonded to one K1+, two Na1+, and two W6+ atoms to form distorted corner-sharing NKNa2W2 trigonal bipyramids. In the eighteenth N3- site, N3- is bonded in a 2-coordinate geometry to three K1+ and two W6+ atoms. In the nineteenth N3- site, N3- is bonded in a 2-coordinate geometry to two K1+ and two W6+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on H2WO5 by Materials Project

WH2O5 crystallizes in the monoclinic P2_1/c space group. The structure is one-dimensional and consists of two WH2O5 ribbons oriented in the (0, 1, 0) direction. W is bonded to seven O atoms to form a mixture of distorted edge and corner-sharing WO7 pentagonal bipyramids. There are a spread of W–O bond distances ranging from 1.75–2.29 Å. There are two inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are five inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one W atom. In the second O site, O is bonded in a distorted trigonal non-coplanar geometry to three equivalent W atoms. In the third O site, O is bonded in a water-like geometry to one W and two H atoms. In the fourth O site, O is bonded in a 1-coordinate geometry to one W and one O atom. The O–O bond length is 1.47 Å. In the fifth O site, O is bonded in a 1-coordinate geometry to one W and one O atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg2PbW by Materials Project

Mg2WPb is Zintl Phase-derived structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to four equivalent W atoms to form distorted MgW4 tetrahedra that share corners with four equivalent PbMg4W4 tetrahedra, corners with twenty-four MgW4 tetrahedra, edges with six equivalent PbMg4W4 tetrahedra, and faces with four equivalent MgPb4W6 tetrahedra. All Mg–W bond lengths are 2.98 Å. In the second Mg site, Mg is bonded to six equivalent W and four equivalent Pb atoms to form distorted MgPb4W6 tetrahedra that share corners with four equivalent WMg10Pb4 tetrahedra, corners with twelve equivalent PbMg4W4 tetrahedra, corners with eighteen MgW4 tetrahedra, edges with six equivalent WMg10Pb4 tetrahedra, faces with four equivalent PbMg4W4 tetrahedra, and faces with sixteen MgPb4W6 tetrahedra. All Mg–W bond lengths are 3.45 Å. All Mg–Pb bond lengths are 2.98 Å. W is bonded to ten Mg and four equivalent Pb atoms to form distorted WMg10Pb4 tetrahedra that share corners with four equivalent MgPb4W6 tetrahedra, corners with six equivalent WMg10Pb4 tetrahedra, corners with twelve equivalent PbMg4W4 tetrahedra, edges with six equivalent MgPb4W6 tetrahedra, faces with four equivalent PbMg4W4 tetrahedra, and faces with twelve equivalent WMg10Pb4 tetrahedra. All W–Pb bond lengths are 2.98 Å. Pb is bonded to four equivalent Mg and four equivalent W atoms to form distorted PbMg4W4 tetrahedra that share corners with twelve equivalent WMg10Pb4 tetrahedra, corners with sixteen MgW4 tetrahedra, edges with six equivalent MgW4 tetrahedra, edges with twelve equivalent PbMg4W4 tetrahedra, faces with four equivalent MgPb4W6 tetrahedra, and faces with four equivalent WMg10Pb4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ca2CoW by Materials Project

Ca2WCo crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Ca sites. In the first Ca site, Ca is bonded to four equivalent W atoms to form distorted CaW4 tetrahedra that share corners with twenty-four CaW4 tetrahedra and faces with four equivalent CaCo4W6 tetrahedra. All Ca–W bond lengths are 2.95 Å. In the second Ca site, Ca is bonded to six equivalent W and four equivalent Co atoms to form a mixture of distorted face and corner-sharing CaCo4W6 tetrahedra. All Ca–W bond lengths are 3.40 Å. All Ca–Co bond lengths are 2.95 Å. W is bonded in a distorted body-centered cubic geometry to ten Ca and four equivalent Co atoms. All W–Co bond lengths are 2.95 Å. Co is bonded in a distorted body-centered cubic geometry to four equivalent Ca and four equivalent W atoms.

36 MATERIALS SCIENCE↗

Materials Data on K4Li3Nb18P12(WO42)2 by Materials Project

K4Li3Nb18P12(WO42)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent K sites. In the first K site, K is bonded to eight O atoms to form distorted KO8 hexagonal bipyramids that share corners with two equivalent WO6 octahedra, corners with six NbO6 octahedra, and edges with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. There are a spread of K–O bond distances ranging from 3.16–3.24 Å. In the second K site, K is bonded in a 4-coordinate geometry to four O atoms. There are two shorter (2.83 Å) and two longer (2.84 Å) K–O bond lengths. In the third K site, K is bonded to twelve O atoms to form distorted KO12 cuboctahedra that share edges with eight NbO6 octahedra and edges with four PO4 tetrahedra. There are a spread of K–O bond distances ranging from 3.19–3.39 Å. In the fourth K site, K is bonded in a 6-coordinate geometry to four O atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) K–O bond lengths. There are three inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the second Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the third Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. There are eleven inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the second Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of Nb–O bond distances ranging from 1.91–2.06 Å. In the third Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 18–31°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the fourth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the fifth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–24°. There are a spread of Nb–O bond distances ranging from 1.86–2.21 Å. In the sixth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–24°. There are a spread of Nb–O bond distances ranging from 1.85–2.22 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of Nb–O bond distances ranging from 1.83–2.22 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of Nb–O bond distances ranging from 1.87–2.08 Å. In the ninth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, corners with four NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of Nb–O bond distances ranging from 1.86–2.09 Å. In the tenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of Nb–O bond distances ranging from 1.87–2.13 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, corners with two PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–23°. There are a spread of Nb–O bond distances ranging from 1.85–2.21 Å. W is bonded to six O atoms to form WO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–23°. There are a spread of W–O bond distances ranging from 1.80–2.16 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra, corners with two equivalent WO6 octahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–46°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–46°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–45°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 32–43°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are fifty inequivalent O sites. In the first O site, O is bonded in a linear geometry to one Nb and one W atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the third O site, O is bonded in a linear geometry to two equivalent W atoms. In the fourth O site, O is bonded in a 1-coordinate geometry to one K, one W, and one P atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Nb and one W atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Nb and one W atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Nb atoms. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Nb atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one K and two Nb atoms. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-second O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-fourth O site, O is bonded in a linear geometry to two equivalent Nb atoms. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twenty-eighth O site, O is bonded in a linear geometry to two equivalent Nb atoms. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Te4MoW3S4 by Materials Project

(WTe2)2WS2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; one WS2 sheet oriented in the (0, 0, 1) direction; and two WTe2 sheets oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.46 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the WS2 sheet, W+3.33+ is bonded to six S2- atoms to form distorted edge-sharing WS6 pentagonal pyramids. All W–S bond lengths are 2.46 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent W+3.33+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WTe2 sheet, W+3.33+ is bonded to six equivalent Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.72 Å. Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms.

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Materials Data on Te2MoW3(Se2S)2 by Materials Project

WTe2(WSe2)2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; two WSe2 sheets oriented in the (0, 0, 1) direction; and one WTe2 sheet oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.45 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In each WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.56 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the WTe2 sheet, W+3.33+ is bonded to six Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.71 Å. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the second Te2- site, Te2- is bonded in a 12-coordinate geometry to three equivalent W+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Te4MoW3(SeS)2 by Materials Project

(WTe2)2WSe2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; one WSe2 sheet oriented in the (0, 0, 1) direction; and two WTe2 sheets oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.47 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.57 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WTe2 sheet, W+3.33+ is bonded to six Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.72 Å. Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. All Te–W bond lengths are 2.72 Å.

36 MATERIALS SCIENCE↗

Materials Data on Te2Mo(WS2)3 by Materials Project

WTe2(WS2)2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; two WS2 sheets oriented in the (0, 0, 1) direction; and one WTe2 sheet oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.44 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In each WS2 sheet, W+3.33+ is bonded to six equivalent S2- atoms to form distorted edge-sharing WS6 pentagonal pyramids. All W–S bond lengths are 2.44 Å. S2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the WTe2 sheet, W+3.33+ is bonded in a 6-coordinate geometry to six Te2- atoms. All W–Te bond lengths are 2.71 Å. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the second Te2- site, Te2- is bonded in a 12-coordinate geometry to three equivalent W+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Te6MoW3Se2 by Materials Project

(WTe2)2MoTe2WSe2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoTe2 sheet oriented in the (0, 0, 1) direction; one WSe2 sheet oriented in the (0, 0, 1) direction; and two WTe2 sheets oriented in the (0, 0, 1) direction. In the MoTe2 sheet, Mo6+ is bonded to six equivalent Te2- atoms to form distorted edge-sharing MoTe6 pentagonal pyramids. All Mo–Te bond lengths are 2.73 Å. Te2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the WSe2 sheet, W+3.33+ is bonded to six Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.59 Å. There are two inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted T-shaped geometry to three equivalent W+3.33+ atoms. In the second Se2- site, Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WTe2 sheet, W+3.33+ is bonded to six equivalent Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.73 Å. Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MoW3(Se3S)2 by Materials Project

(WSe2)2MoSe2WS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoSe2 sheet oriented in the (0, 0, 1) direction; one WS2 sheet oriented in the (0, 0, 1) direction; and two WSe2 sheets oriented in the (0, 0, 1) direction. In the MoSe2 sheet, Mo6+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing MoSe6 pentagonal pyramids. All Mo–Se bond lengths are 2.54 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the WS2 sheet, W+3.33+ is bonded to six S2- atoms to form distorted edge-sharing WS6 pentagonal pyramids. All W–S bond lengths are 2.44 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent W+3.33+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.55 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms.

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Materials Data on Te2MoW3(SeS2)2 by Materials Project

MoTe2WSe2(WS2)2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoTe2 sheet oriented in the (0, 0, 1) direction; two WS2 sheets oriented in the (0, 0, 1) direction; and one WSe2 sheet oriented in the (0, 0, 1) direction. In the MoTe2 sheet, Mo6+ is bonded to six Te2- atoms to form distorted edge-sharing MoTe6 pentagonal pyramids. All Mo–Te bond lengths are 2.70 Å. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 9-coordinate geometry to three equivalent Mo6+ atoms. In the second Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In each WS2 sheet, W+3.33+ is bonded to six S2- atoms to form distorted edge-sharing WS6 pentagonal pyramids. All W–S bond lengths are 2.45 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent W+3.33+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.55 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Te4MoW3(SeS)2 by Materials Project

(WTe2)2WSe2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; one WSe2 sheet oriented in the (0, 0, 1) direction; and two WTe2 sheets oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.47 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.57 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WTe2 sheet, W+3.33+ is bonded to six Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.72 Å. Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. All Te–W bond lengths are 2.72 Å.

36 MATERIALS SCIENCE↗

Materials Data on Te4MoW3(SeS)2 by Materials Project

(WTe2)2WSe2MoS2 is Molybdenite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is two-dimensional and consists of one MoS2 sheet oriented in the (0, 0, 1) direction; one WSe2 sheet oriented in the (0, 0, 1) direction; and two WTe2 sheets oriented in the (0, 0, 1) direction. In the MoS2 sheet, Mo6+ is bonded to six S2- atoms to form distorted edge-sharing MoS6 pentagonal pyramids. All Mo–S bond lengths are 2.47 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Mo6+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent Mo6+ atoms. In the WSe2 sheet, W+3.33+ is bonded to six equivalent Se2- atoms to form distorted edge-sharing WSe6 pentagonal pyramids. All W–Se bond lengths are 2.57 Å. Se2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In each WTe2 sheet, W+3.33+ is bonded to six Te2- atoms to form distorted edge-sharing WTe6 pentagonal pyramids. All W–Te bond lengths are 2.72 Å. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent W+3.33+ atoms. In the second Te2- site, Te2- is bonded in a 12-coordinate geometry to three equivalent W+3.33+ atoms.

36 MATERIALS SCIENCE↗