Phase equilibria in the Cu<Subscript>2</Subscript>S–La<Subscript>2</Subscript>S<Subscript>3</Subscript>–EuS system

Phase equilibria in the isothermal (970 K) and polythermal LaCuS₂–EuS, Cu₂S–EuLaCuS₃, LaCuS₂–EuLa₂S₄, and EuLaCuS₃–EuLa₂S₄ sections of the Cu₂S–La₂S₃–EuS system have been studied. EuLaCuS₃ (annealing at 1170 K) is of orthorhombic system, space group Pnma, a = 8.1366(1) Å, b = 4.0586(1) Å, c = 15.9822(2) Å, is isostructural to Ba₂MnS₃, and incongruently melts by the reaction EuLaCuS_3cryst (0.50 EuS; 0.50 LaCuS₂) ? 0.22 EuS SS (0.89 EuS; 0.11 LaCuS₂) + 0.78 liq (0.39 EuS; 0.61 LaCuS₂); ΔН = 52 J/g. The Cu₂S–La₂S3–EuS system has been found to contain five major subordinate triangles. At 970 K, tie-lines lie between EuLaCuS₃ and the Cu₂S, EuS, LaCuS₂, and EuLa₂S₄ phases and between the LaCuS₂ phase and the γ-La₂S₃–EuLa2S4 solid solution. Eutectics are formed between LaCuS₂ and EuLaCuS₃ at 26.0 mol % of EuS and T = 1373 K and between EuLaCuS3 and EuLa₂S₄ at 29.0 mol % of EuLa₂S₄ and T = 1533 K.     

Phase Equilibria in the Sc2S3-Ln2S3 (Ln = Dy,Er, or Tm) Systems

Phase diagrams for the Sc₂S₃-Ln₂S₃ (Ln = Dy, Er, or Tm) systems were designed in the range from 1000 K to melting temperatures. The Ln₃ScS₆ compounds that are formed in these systems crystallize in monoclinic space group P2₁/m, and melt congruently: for Dy₃ScS₆, a = 1.118 nm, b = 1.262 nm, c = 0.354 nm, β = 94.7°, 1800 K, H = 2600 MPa; for Er₃ScS₆, a = 1.113 nm, b = 1.258 nm, c = 0.353 nm, β = 94.5°, 1830 K, H = 2800 MPa; for Tm₃ScS₆, a = 1.112 nm, b = 1.229 nm, c = 0.352 nm, β = 94.3°, 1835 K, H = 2940 MPa. The LnScS₃ (Ln = Dy or Er) complex sulfides, with orthorhombic structures, space group Pnma, melt incongruently: for DyScS₃, a = 0.700 nm, b = 0.637 nm, c = 0.943 nm, 1810 K, H = 3800 MPa; and for ErScS₃, a = 0.697 nm, b = 0.633 nm, c = 0.942 nm, 1800 K, H = 3800 MPa. As the ionic radii rLn3+ and rSc3+ approach Ln Sc to each other in the row Dy-Er-Tm, the solubility in Sc₂S₃ increases, at 1670 K being equal to 13 mol % Dy₂S₃, 30 mol % Er₂S₃, and 40 mol % Tm₂S₃. LnScS₃ (Ln = Dy or Er) forms a two-sided homogeneity region, at 1670 K lying in ranges of 43–56 mol % Ln₂S₃. The eutectic temperatures and compositions are as follows: 1700 K and 66 mol % Dy₂S₃, 1730 K and 81 mol % Dy₂S₃, 1740 K and 65 mol % Er₂S₃, 1700 K and 83 mol % Er₂S₃, 1730 K and 70 mol % Tm₂S₃, and 1755 K and 84 mol % Tm₂S₃.     

Phase Equilibria in Systems DyCuS<Subscript>2</Subscript>–EuS and Cu<Subscript>2</Subscript>S−Dy<Subscript>2</Subscript>S<Subscript>3</Subscript>−EuS

The phase diagram of system DyCuS₂–EuS has been first constructed, and the phase equilibria in the Cu₂S–Dy₂S₃–EuS triangle at 970 K have been studied. Compound EuDyCuS₃ (1DyCuS₂ : 1EuS), space group Pnma, a = 10.1901(3) Å, b = 3.9270(1) Å, c = 12.8468(3) Å, melts incongruently at 1727 ± 7 K according to the reaction: EuDyCuS_3solid ? 0.17 SS EuS (90 mol % EuS, 10 mol % DyCuS₂) + 0.83 liq (42 mol % EuS, 58 mol % DyCuS₂), ΔH = 2.9 ± 0.6 kJ/mol; microhardness of the phase is 3080 ± 35 MPa. Compound EuDyCuS₃ is transparent in the range 3000–1800 cm^–1. In system DyCuS₂–EuS, the solid solution (SS) based on EuS extends from 91 to 100 mol % at 1770 K and from 92 to 100 mol % at 1170 K. In γ-DyCuS₂, 2 mol % EuS dissolves at 1487 K. The eutectic is formed between compounds DyCuS₂ and EuDyCuS3 at 12 mol % EuS, T = 1487 ± 8 K. In system Cu₂S?Dy₂S₃?EuS, 10 secondary systems have been isolated. At 970 K, tie-lines are located between compound EuDyCuS₃ and solid solutions based on compounds β-Cu₂S, EuS, DyCuS₂, β-(DyCu₃S₃), and EuDy₂S₄; between DyCuS₂ and the solid solution of α-Dy₂S₃, DyCuS₂, and EuDy₂S₄.     

Phase diagrams of sections in the EuS-Cu2S-Nd2S3 system

Phase equilibria in the EuS-Cu₂S-Nd₂S₃ system were studied in an isothermal (970 K) section and NdCuS₂-EuS and Cu₂S-EuNdCuS₃ polythermal sections. The complex sulfide EuNdCuS₃ has an orthorhombic crystal lattice (space group Pnma; a = 1.10438(2) nm, b = 0.40660(1) nm, c = 1.14149(4) nm), is isostructural to BaLaCuS₃, and melts incongruently at 1470 K: EuNdCuS₃ (0.50 EuS; 0.50 NdCuS₂) ai 0.18 EuS ss (0.88 EuS; 0.12 NdCuS₂) + 0.82 L (0.415 EuS; 0.585 NdCuS₂); ΔH = 17.8 kJ/mol. Within the range 0.5 mol % EuS, EuNdCuS₃-based solid solutions were not found. At 970 K, the tie lines pass from the compound EuNdCuS₃ to Cu₂S, EuS, NdCuS₂, and EuNd₂S₄ phases and lie between the NdCuS₂ phase and solid solutions (ss) of γ-Nd₂S₃ with EuNd₂S₄. Eutectics are formed between the compounds NdCuS₂ and EuNdCuS₃ at 32.0 mol % EuS T = 1318 K and between the compounds Cu₂S and EuNdCuS₃ at 20.5 mol % EuNdCuS₃ and T = 1142 K. Five main subordinate triangles were identified in the system.     

Phase diagrams of the systems Ln2S3-Ln2O3 (Ln = Gd, Dy)

For the first time, the phase diagrams of the systems Gd₂S₃-Gd₂O₃ and Dy₂S₃-Dy₂O₃ were constructed within the temperature range from 870 K to the melting point. In the systems, compounds Gd₂O₂S and Dy₂O₂S form in hexagonal symmetry with the unit cell parameters a = 0.3858 nm, c = 0.6667 nm and a = 0.3802 nm, c = 0.6591 nm, respectively. The compounds melt congruently at 2430 and 2370 K, respectively. Their microhardnesses are 4900 and 5150 MPa, respectively. The coordinates of eutectics are the following: 21 mol % Gd₂O₃, T _eu = 1875 K; 83 mol % Gd₂O₃, T _eu = 2270 K; 20 mol % Dy₂O₃, T _eu = 1780 K; and 81 mol % Dy₂O₃, T _eu = 2220 K.     

Phase Equilibria Laws in the SrS-Ln2S3 (Ln = Yb-Lu,Y, or Sc) Systems

Complex sulfides with the SrS: Ln₂S₃ ratio equal to 3: 1, 1: 3, or 1: 4 for Ln = Y or Lu have been predicted on the basis of thermodynamic analysis of previously designed SrS-Ln₂S₃ (Ln = Tb, Dy, or Er) phase diagrams. Phase diagrams for the SrS-Ln₂S₃ (Ln = Tm, Lu, or Sc) systems have been designed for the first time. These systems form congruently melting compounds SrLn₂S₄ (CaFe₂O₄ type structure, orthorhombic crystal system). Unit cell parameters, heats of melting, and microhardnesses have been determined. For SrTm₂S₄, the respective values are as follows: a = 1.181 nm, b = 1.421 nm, c = 0.396 nm, 2040 K, ΔH _m = 188 kJ/mol, 3500 MPa; for SrLu₂S₄: a = 1.187 nm, b = 1.416 nm, c = 0.392 nm, 2070 K, ΔH _m = 190 kJ/mol, 3540 MPa; and for SrSc₂S₄: a = 1.180 nm, b = 1.410 nm, c = 0.390 nm, 2100 K, ΔH _m = 206 kJ/mol, 3650 MPa. The increase in the melting temperatures and the heats of melting calculated for the SrLn₂S₄ compounds correlate with their classification as thio salts.     

Phase equilibria in the BaS–Ga<Subscript>2</Subscript>S<Subscript>3</Subscript> system

In the BaS–Ga₂S₃ system, the following compounds form: congruently melting compound BaGa₄S₇ (rhombic system, space group Pmn2₁, a = 1.477 nm, b = 0.624 nm, c = 0.593 nm, and T_melt = 1490 K) and incongruently melting compounds BaGa₂S₄ (cubic system, space group Pa3, a = 1.2661 nm, and Tmelt = 1370 K), Ba₂Ga₂S₅ (monoclinic system, space group C2/c, a = 1.529, b = 1.479, c = 0.858 nm, ß = 106.04°, and T_melt = 1150 K), Ba₃Ga₂S₆ (monoclinic system, space group C2/c, a = 0.909 nm, b = 1.448 nm, c = 0.903 nm, ß = 91.81°, and T_melt = 1190 K), Ba₄Ga₂S₇ (monoclinic system, space group P2₁/m, a = 1.177 nm, b = 0.716 nm, c = 0.903 nm, ß = 108.32°, and T_melt = 1230 K), and Ba₅Ga₂S₈ (rhombic system, space group Cmca, a = 2.249 nm, b = 1.215 nm, c = 1.189 nm, and T_melt = 1480 K). The compositions of eutectics are 38 and 72 mol % Ga₂S₃, and their melting points are 1120 and 1160 K, respectively. The BaS solubility in γ-Ga₂S₃ at 1070 K reaches 3 mol %.     

Phase diagrams of the systems Sc<Subscript>2</Subscript>S<Subscript>3</Subscript>-Ln<Subscript>2</Subscript>S<Subscript>3</Subscript> for Ln = La,Nd, or Gd

Phase diagrams have been designed for the systems Sc₂S₃-Ln₂S₃ where Ln = La, Nd, or Gd. In these systems, complex sulfides crystallize in orthorhombic space group Pnma. The sulfides melt congruently and have the following parameters; for LaScS₃, a = 0.718 nm, b = 0.654 nm, c = 0.960 nm, 2000 K, 3200 MPa; for NdScS₃, a = 0.712 nm, b = 0.646 nm, c = 0.952 nm, 1960 K, 3500 MPa; and for GdScS₃, a = 0.704 nm, b = 0.640 nm, c = 0.946 nm, 1900 K, 3400 MPa. The extents of the solid solutions based on the existing phases increase as the effective ion radii of Ln³⁺ approaches that of Sc³⁺. At 1670 K, the LnScS₃ homogeneity region is 48–52 mol % Nd₂S₃ and 46–54 mol % Gd₂S₃. Sc₂S₃ dissolves 3 mol % Nd₂S₃ and 6 mol % Gd₂S₃. γ-Nd₂S₃ dissolves 2 mol % Sc₂S₃, and γ-Gd₂S₃ dissolves 4 mol % Sc₂S₃. The subsystems Sc₂S₃-LnScS₃ and LnScS₃-Ln₂S₃ are of the eutectic type. The eutectic coordinates are, respectively, 27 mol % La₂S₃, 1880 K; 75 mol % La₂S₃, 1800 K; 30 mol % Nd₂S₃, 1850 K; 74 mol % Nd₂S₃, 1770 K; 33 mol % Gd₂S₃, 1800 K; and 74 mol % Gd₂S₃, 1730 K.     

Sm<Subscript>2</Subscript>S<Subscript>3</Subscript>-Sm<Subscript>2</Subscript>O<Subscript>3</Subscript> phase diagram

The Sm₂S₃-Sm₂O₃ phase diagram was studied by physicochemical methods of analysis from 800 K up to melting. Two oxysulfides are formed in the system: Sm₁₀S₁₄O with tetragonal crystal structure (space group I41/acd; unit cell parameters: a = 1.4860 nm, c = 1.9740 nm; microhardness: H = 4700 MPa; solid decomposition temperature: 1500 K) and Sm₂O₂S with hexagonal structure (space group P-3m1; a = 0.3893 nm, c = 0.6717 nm; H = 4500 MPa; congruent melting temperature: 2370 K). Within the extent of the Sm₂O₂S-based solid solution (61–70 mol % Sm₂O₃) at 1070 K, a singular point appears at the compound composition on property-composition curves. The eutectic coordinates: 23 mol % Sm₂O₃ and 1850 K; 80 mol % Sm₂O₃ and 2290 K.     

Phase equilibria in the systems SrS-Cu<Subscript>2</Subscript>S-Ln<Subscript>2</Subscript>S<Subscript>3</Subscript> (Ln = La or Nd)

Phase equilibria in the systems SrS-Cu₂S-Ln₂S₃ (Ln = La or Nd) have been studied along the isothermal section at 1050 K and vertical sections CuLnS₂-SrS and Cu₂S-SrLnCuS₃, which are partially quasibinary joins. Compounds SrLnCuS₃ with Ln = La or Nd have been synthesized for the first time. They crystallize in orthorhombic space group Pnma, the BaLaCuS₃ structure type, with the following unit cell parameters: for SrLaCuS₃, a = 1.1157(2) nm, b = 0.41003(6) nm, c = 1.1545(2) nm; for SrNdCuS₃, a = 1.1083(1) nm, b = 0.40887(7) nm, c = 1.1477(2) nm. Noticeable homogeneity regions for SrLnCuS₃ are not found. The compounds melt congruently by the reaction SrLnCuS₃ ? SrS + L at 1365 K for SrLaCuS₃ and 1400 K for SrNdCuS₃. The tie-lines at 1050 K in the systems SrS-Cu₂S-Ln₂S₃ radiate from SrLnCuS₃ toward phases SrS, Cu₂S, CuLnS₂, and SrLn₂S₄, lying between the phases CuLnS₂ and compositions from the γ-Ln₂S₃-SrLn₂S₄ solid-solution field. Eutectics are formed between the compounds CuLaS₂ and SrLaCuS₃ at 21.0 mol % SrS, T = 1345 K; between the compounds CuNdS₂ and SrNdCuS₃ at 31.0 mol % SrS, T = 1310 K; and between the phases Cu₂S and SrLnCuS₃ at 14.0 mol % SrLaCuS₃, T = 1075 K and 8.0 mol % SrNdCuS₃, T = 1055 K.     

Sm–Sm<Subscript>2</Subscript>Se<Subscript>3</Subscript> phase diagram and properties of phases

A Sm–Sm2Se3 phase diagram has been studied from 1000 K until melting. This system forms three congruently melting compounds: SmSe (ST NaCl, a = 0.6200 nm, T_m = (2400 ± 50) K, and H = 2750 MPa), Sm₃Se₄ (ST Th₃P₄, a = 0.8925 nm, T_m = (2250 ± 30) K, and H = 3350 MPa), and Sm₂Se₃ (ST Th₃P₄, a = 0.8815 nm, T_m = (2150 ± 40) K, and H = 5300 MPa). There are eutectics between Sm and SmSe phases and between SmSe and Sm₃Se₄ phases at 2.5 at % Se, 1300 K and at 54.5 at % Se, 2100 K, respectively. Within the extent of Sm₂₊ Sm₂³⁺ Se4–Sm₂³⁺Se₃ solid solution (ST Th₃P₄), the experimentally determined percentages of Sm₂₊ ions correspond with the values calculated from the formula compositions of samples. The bandgap width for SmSe_1.45 and SmSe_1.48 phases is ΔE = (1.90 ± 0.05) eV.     

Sc<Subscript>2</Subscript>S<Subscript>3</Subscript>–Cu<Subscript>2</Subscript>S phase diagram

A phase diagram is constructed for the Sc₂S₃–Cu₂S system. The system forms two incongruently melting complex sulfides: hexagonal CuScS₂ (1Cu₂S: 1Sc₂S₃): a = 0.3734 nm, c = 0.6102 nm, space group P3m1, Т_m = 1635 K, ΔH_m = 1670 kJ/mol; and cubic CuSc₃S₅ (1Cu₂S: 3Sc₂S₃), a = 1.0481 nm, space group Fd3m, Т_m = 1835 K. In the 45–62 mol % Cu2S solid solution (ss) range, there is a singular point corresponding to the composition of compound CuScS₂ (50 mol % Cu₂S). The Sc₂S₃-based solubility at 1070 K is 14 mol % Cu₂S. In the γ-Cu₂S-based solid solution range, there is a peritectic point at 7 mol % Sc₂S₃, 1423 K.     

Phase diagram of the MgS-Ga2S3 system

The MgGa₂S₄ phase, which forms in the MgS-Ga₂S₃ system, crystallizes in monoclinic system with the parameters a = 1.275 nm, b = 2.255 nm, c = 0.641 nm, β = 108.8°. Its congruent melting temperature is 1365 K. The eutectics have compositions of 31 and 62 mol % Ga₂S₃ and melt at 1280 and 1140 K, respectively. The MgS solubility in γ-Ga₂S₃ at 1070 K reaches 7 mol % MgS.     

Section EuNdGa3S7-EuGa4S7 of the ternary system Nd2S3-Ga2S3-EuS

The section EuNdGa₃S₇-EuGa₄S₇ of the ternary system Nd₂S₃-Ga₂S₃-EuS was studied by physicochemical analysis methods (differential thermal, X-ray powder diffraction, and microstructural analyses and microhardness and density measurements). The data obtained were used to construct the state diagram of the section EuNdGa₃S₇-EuGa₄S₇. The section was found to be a quasi-binary section of the ternary system and is of the eutectic type. The coordinates of the eutectic are 64 mol % EuGa₄S₇ and T _melt = 1170 K. A region of solid solutions based on both components was found.     

Phase equilibria in the BaS-Cu<Subscript>2</Subscript>S-Gd<Subscript>2</Subscript>S<Subscript>3</Subscript> system

Phase equilibria in the BaS-Cu₂S-Gd₂S₃ system have been studied along the 800 K isothermal section and the CuGdS₂-BaS, Cu₂S-BaGdCuS₃, BaGdCuS₃-Gd₂S₃, and BaGdCuS₃-BaGd₂S₄ polythermal sections. Complex sulfide BaGdCuS₃ is formed in the title system; it has an orthorhombic KZrCuSe₃-type structure (space group Cmcm) with the unit cell parameters equal to a = 0.40529(2) nm, b = 1.34831(6) nm, c = 1.02940(5) nm. This sulfide melts congruently at 1685 K. BaGdCuS₃ is in equilibrium with sulfides Cu₂S, BaS, Gd₂S₃, CuGdS₂, BaGd₂S₄, BaCu₄S₃, and BaCu₂S₂ and with compositions in the C₀ solid-solution region of the Cu₂S-Gd₂S₃ system. Eutectics are formed between compounds CuGdS₂ and BaGdCuS₃ at 7.0 mol % BaS and T = 1325 K, between BaGdCuS₃ and BaS at 64.0 mol % BaS and T = 1625 K, between Cu₂S and BaGdCuS₃ at 8.0 mol % BaGdCuS₃ and T = 1125 K, between Gd₂S₃ and BaGdCuS₃ at 64.0 mol % Gd₂S₃ and 1495 K, and between BaGdCuS₃ and BaGd₂S₄ at 35 mol % BaGd₂S₄ and T = 1660 K.     

Cu2S-EuS phase diagram

In the Cu₂S-EuS system, a eutectic is formed between Cu₂S- and EuS-based solid solutions (ss) at (1069 ± 2) K, 24.5 mol % EuS. EuS dissolves 7.0 (at 1770 K), 5.0 (1170 K), and 3.0 (770 K) mol % Cu₂S. A ??-Cu₂S-based ss is of the open type, has an extent (mol %) of 15.5 (at 1069 K), 7.5 (970 K), 4.5 (770 K), 2.5 (520 K), and 1.5 (379 K) EuS, and melts incongruently at 1186 K, 7.0 mol % EuS. ??-Cu₂S at 379 K dissolves 6.5 mol % EuS; ??-Cu₂S at (1186 ± 3) K dissolves 3.5 mol % EuS.     

Phase equilibria in the SrS-Ga2S3 system

In the SrS-Ga₂S₃ system, there exist two individual compounds: SrGa₂S₄ (a = 2.084 nm, b = 2.050 nm, c = 1.220 nm; congruent melting at 1530 K) and Sr₂Ga₂S₅ (a = 1.253 nm, b = 1.203 nm, c = 1.117 nm; peritectic melting at 1330 K); both are orthorhombic. We discovered a compound of composition Sr₄Ga₂S₇; this compound crystallizes in cubic system with the unit cell parameter a = 0.6008 nm, space group Pa3, and decomposes by a solid-phase reaction at 870 K. Eutectic compositions are 42 and 73 mol % Ga₂S₃; eutectic melting temperatures are 1210 and 1170 K, respectively. The SrS solubility in γ-Ga₂S₃ at 1070 K reaches 4 mol %.     

Phase equilibria in the MgS–In<Subscript>2</Subscript>S<Subscript>3</Subscript> system

Phase equilibria in the MgS–In₂S₃ system were studied. This system is of the dystectic type with a limited region of a solid solution based on β-In₂S₃. In the MgS–In₂S₃ system, a compound of the composition MgIn₂S₄ forms, which forms congruently at 1180 K and crystallizes in the cubic system (space group Fd3m) with the unit cell parameter a = 1.0689 nm. Eutectics have the compositions 47 and 62 mol % In₂S₃ and the melting points 1150 and 1120 K, respectively. The MgS solubility in β-In₂S₃ at 1070 K reaches 9 mol % MgS.     

MnS-Ln2S3 (Ln = La, Nd, or Gd) phase diagrams; thermodynamics of phase transitions

The MnS-La₂S₃ phase diagram has been constructed where the incongruently melting compound Mn₂La₆S₁₁ is formed. Complex sulfide Mn₂La₆S₁₁ is characterized by monoclinic structure; its incongruent melting temperature is 1535 K. Eutectic coordinates are 31 mol % La₂S₃, 1490 K. The extent of the ??-La₂S₃ based solid solutions at 1570 K is 8 mol % MnS; at 770 K, ??-La₂S₃ dissolves 3 mol % MnS. The MnS-Gd₂S₃ system is a eutectic with limited solid solutions. Eutectic coordinates are 35.5 mol % Gd₂S₃, 1640 K. Solubility in ??-Gd₂S₃ is 28 mol % MnS at 1570 K, in ??-Gd₂S₃ is 13 mol % MnS at 1170 K, and in MnS is 1 mol % Gd₂S₃. Thermochemical equations have been composed for eutectic and eutectoid phase transformations. A MnS-Nd₂S₃ phase diagram has been predicted.     

Study of phase equilibria and boundary elements in the KBr-KVO3-K2MoO4 ternary system

By differential thermal analysis, the coordinates of the following characteristic points in the KBr-KVO₃-K₂MoO₄ system were determined: a eutectic in the KBr-KVO₃ system (12% KBr, 88% KVO₃, T _melt = 458°C), a eutectic in the KBr-KVO₃-K₂MoO₄ ternary system (12.8% KBr, 84.7% KVO₃, 2.5% K₂MoO₄,T _melt = 430°C), and also three points of polymorphic transitions in K₂MoO₄ ((1) δ ? γ: 21.7% KBr, 72.3% KVO₃, 6% K₂MoO₄,T _melt = 476°C; (2) γ ? β: 19% KBr, 78% KVO₃, 3% K₂MoO₄,T _melt = 450°C; and (3) γ ? β: 6% KBr, 89% KVO₃, 5% K₂MoO₄,T _melt = 450°C). For elements of the ternary system, phase equilibria were described.