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Platinum Metals Rev., 2011, 55, (3), 186


Phase Diagram of the Rhenium-Rhodium System: State of the Art

    • By Kirill V. Yusenko
    • solid-chem GmbH, Universitätsstr. 136,
    • D-44799 Bochum, Germany



Article Synopsis

The available experimental data for metallic solid solutions in the rhenium-rhodium binary metallic system are incomplete. This paper reviews recent data on the Re-Rh system which enables the solidus parts of the equilibrium phase diagram to be constructed. Experimental data for solid solutions prepared by different techniques and theoretical modelling show that the single phase regions are wider than previously reported. The maximum solid phase solubility of Re in Rh is 15 at%, and that of Rh in Re is 75 at%. In this paper, a phase diagram for the Re-Rh system which serves as a reliable model for the representation of the available experimental data is proposed.


Polymetallic compositions containing platinum group metals (pgms) and rhenium are widely used in industry as high-temperature materials, in superalloys and as catalysts (1). Re-Rh solid solutions are used in high-temperature thermocouples (2), as coatings with high thermal, mechanical and chemical stability (3) and in applications where high hardness is required (4).

The properties of solid solutions depend on the composition, the preparation conditions and particularly on the presence of impurities in the alloy. Metallic phase behaviour is most commonly predicted using the relationship between composition or temperature and properties. However, the information currently available about the Re-Rh system is poor and contradictory due to the difficulties that arise during the preparation of solid solutions. This, together with the high cost of the materials, limits the practical applications of Re-Rh solid solutions and composites. Construction of the correct equilibrium phase diagram would provide a firm foundation for future investigations of chemical, physical and material properties of Re-Rh solid solutions and could enable their usefulness to be extended. Comprehensive knowledge of two-component systems is also essential for the construction of ternary and quaternary phase diagrams. The collection of equilibrium data is made difficult by the extremely high melting points of the metal components. The present paper aims to critically analyse recent experimental data on Re-Rh solid solutions and calculate the equilibrium phase diagram for the Re-Rh system using the regular solution model.

The Rhenium-Rhodium System

In the early 1960s, the first experimental data on the Re-Rh system was obtained using high-temperature melting and annealing of fine metallic powders in vacuum. The first phase diagram was constructed based on the analysis of bimetallic solid solutions prepared at a wide range of concentrations (5). As shown in Figure 1, the peritectic phase diagram has three regions in the solid state: face-centred cubic (fcc) solid solutions in the Rh part, hexagonal close-packed (hcp) solid solutions in the Re part and a two-phase region between the single phase sections. According to published data, this two-phase region is wide. The maximum solubility at 1000°C of Re in Rh has been estimated as 15 at% and that of Rh in Re as 24 at%, and the peritectic temperature was determined to be 2620°C.

Fig. 1.

Proposed phase diagram for the rhenium-rhodium system according to data from experiment (5), Kaufman (6) and the present study. A two-phase sample with 80 at% Rh is shown as a black circle. Other compositions and preparatory temperatures are given in Table I

Proposed phase diagram for the rhenium-rhodium system according to data from experiment (5), Kaufman (6) and the present study. A two-phase sample with 80 at% Rh is shown as a black circle. Other compositions and preparatory temperatures are given in Table I


Kaufman later calculated the two-component phase diagrams for Re with all pgms, using the regular solution model (6). Further measurements of mixing volumes and formation enthalpy for high melting point metallic systems confirmed the accuracy of this model. Although Kaufman's calculations were partly based on non-validated thermodynamic data, they were in tolerable concordance with the experimental diagrams. The calculated and experimentally obtained phase diagrams were adequate for the majority of metallic systems, but not for Re-Rh. This may be explained by the inapplicability of the model or by the inaccuracy of the corresponding experimental data. Direct thermodynamic measurements for a binary Re-Rh system could help to improve the usefulness of the model in this case. This information is available for pure pgms and pure Re (7–10), and for some of the bimetallic solid solutions. The criteria for analysing the accuracy of data used to construct experimental and calculated phase diagrams were discussed by Schmid-Fetzer et al. in 2005 (11). Based on these criteria, the available experimental phase diagram for the binary Re-Rh system (5) seems to be incorrect, at least in the liquidus part (hcp ↔ liquid).

Korenev and coauthors developed the ‘single source precursor strategy’ for the preparation of solid solutions of pgms under mild conditions using bimetallic double complex salts as precursors (12). This approach allows the reproducible preparation of a broad range of pgm solid solutions with precise compositions. Heating the obtained metallic solid solutions up to the melting point does not change the phase composition and cell parameters; in other words, the phases prepared are thermodynamically stable and in equilibrium. The working temperatures are usually below 800°C. This approach has also been applied to the preparation of Re-Rh solid solutions (13–18). For example, the Re0.50Rh0.50 solid solution can be obtained by thermal decomposition of [Rh(NH3)5Cl][ReCl6] in a hydrogen or argon stream at 600°C (16). The variation of the precursor composition and preparatory conditions results in different metallic materials based on polymetallic nanoparticles, which can be also prepared on porous supports for catalytic applications (19). To improve the accuracy of the data used to construct the phase diagrams, Re-Rh solid solutions were also synthesised by heating fine powders of the highly pure metals at 1000–1100°C under vacuum for 100–200 h (20, 21) as well as using the thermobaric treatment (2000°C, 4 GPa) (22). The solid solutions obtained were characterised by powder X-ray diffraction (XRD), elemental analysis and scanning electron microscopy (SEM), with the measurements of the cell parameters and atomic volumes taken for all phases. The crystallographic characteristics and preparatory conditions for all known Re-Rh solid solutions are summarised in Table I. According to the data obtained, the two phase region in the Re-Rh phase diagram at 1000°C should be placed between Re0.15Rh0.85 (fcc) and Re0.25Rh0.75 (hcp), indicating that the maximum solid phase solubility of Re in Rh is 15 at%, and that of Rh in Re is 75 at%.

Table I.

Crystallographic Data on Known Phases in the Rhenium-Rhodium System

Composition (Reference)Cell parameters, a, Å c, ÅCell parameters, c/aSpace groupDensity, Dx, g cm−3Atomic volume, V/Z, Å3Preparation conditions
Re (23, No. 5-702) 2.760 4.458 1.615 P63/mmc 21.026 14.705 Melting point 3180°C
Re0.75Rh0.25 (20, 21) 2.753(1) 4.396(2) 1.597 P63/mmc 19.098 14.43(2) Annealing in vacuum (1250°C, 80 h)
Re0.75Rh0.25 (13) 2.749(2) 4.395(3) 1.599 P63/mmc 19.094 14.38(4) Thermal decomposition in He of [Rh(NH3)5Cl]2[Re6S8(CN)6]·3H2O (1200°C, 1 h)
Re0.67Rh0.33 (20, 21) 2.746(1) 4.387(2) 1.598 P63/mmc 18.380 14.34(2) Annealing in vacuum (950°C, 450 h)
Re0.67Rh0.33 (14) 2.746(1) 4.387(2) 1.598 P63/mmc 18.398 14.32(2) Thermal decomposition in H2 of [Rh(NH3)5Cl](ReO4)2 (950°C, 400 h)
Re0.60Rh0.40 (15) 2.7473(2) 4.3886(4) 1.597 P63/mmc 17.704 14.34(4) Thermal decomposition in H2 of [Rhpy4Cl2]4[Re6S8(CN)6]·1.5H2O (850°C, 1 h)
Re0.50Rh0.50 (20, 21) 2.730(1) 4.354(2) 1.595 P63/mmc 17.082 14.05(2) Annealing in vacuum (1100°C, 200 h)
Re0.50Rh0.50 (16) 2.733(5) 4.364(6) 1.597 P63/mmc 17.006 14.11(8) Thermal decomposition in H2 of [Rh(NH3)5Cl][ReCl6] (600°C, 1 h)
Re0.50Rh0.50 (16) 2.727(5) 4.352(6) 1.596 P63/mmc 17.128 14.01(8) Thermal decomposition in Ar of [Rh(NH3)5Cl][ReBr6], (550°C, 1h)
Re0.50Rh0.50 (16) 2.730(5) 4.355(6) 1.595 P63/mmc 17.078 14.05(8) Thermal decomposition in H2 of [Rhpy4Cl2]ReO4, (470°C, 1 h)
Re0.33Rh0.67 (20, 21) 2.721(1) 4.348(2) 1.598 P63/mmc 15.533 13.94(2) Annealing in vacuum (1200°C, 145 h)
Re0.33Rh0.67 (18) 2.722(5) 4.350(6) 1.598 P63/mmc 15.514 13.96(8) Thermal decomposition in H2 of [Rh(NH3)5Cl]2[ReCl6]Cl2 (700°C, 1 h)
Re0.30Rh0.70 (20, 21) 2.721(1) 4.348(2) 1.599 P63/mmc 15.257 13.94(2) Annealing in vacuum (1100°C, 200 h)
Re0.20Rh0.80 (20, 21)a 2.716(1) 4.350(2) 1.599 P63/mmc 13.89(2) Annealing in vacuum (1200°C, 75 h)
3.814(1) Fm3m 13.86(1)
Re0.10Rh0.90 (20, 21) 3.810(1) Fm3m 13.358 13.83(3) Annealing in vacuum (1100°C, 200 h)
Rh (23, No. 5-685) and (24) 3.8031 Fm3m 12.425 13.752 Melting point 1960°C

[i] aMixture of hcp and fcc solid solutions

To analyse the hcp-fcc bimetallic system, the atomic volume, V/Z (where V is the volume of the elemental cell and Z corresponds to the number of atoms in the elemental cell, with Z = 6 for hcp and Z = 4 for fcc), is plotted against the composition of the obtained metallic phase according to Zen's law (25, 26). All solid solutions in the Re-Rh system show a nearly linear dependence of V/Z on composition, with a negative deflection of no more than 2% (Figure 2), which roughly reflects the idealness of the system. Reported values for the cell parameters of the cubic solid solution Re0.12Rh0.88 (a = 3.64 Å, V/Z = 12.06 Å3), prepared by melting the pure metals at 2500°C (5), appear to be incorrect since the atomic volume is less than that of pure Rh. This solid solution was therefore not considered in the present study. The V/Z dependence can be fitted by the second-order polynomial (Equation (i)):

V/Z = 14.75 − 15.4 × 10−3 × XRh + 5.45 × 10−5 × XRh2 (i)

Fig. 2.

Atomic volumes for known hcp (hexagons) and fcc (squares) Re-Rh solid solutions. The corresponding compositions and atomic volumes, V/Z, are given in Table I

Atomic volumes for known hcp (hexagons) and fcc (squares) Re-Rh solid solutions. The corresponding compositions and atomic volumes, V/Z, are given in Table I


where XRh is the at% of Rh in a binary solution. The phases were prepared by melting and the thermal decomposition of bimetallic compounds follows a standard curve, indicating that solid solutions prepared by thermal decomposition of single source precursors are nearly in equilibrium. This polynomial curve can be used for estimating the composition of Re-Rh solid solutions with known cell parameters.

A powerful tool for understanding the properties of metals with extremely high melting points is the thermodynamic modeling of the binary phase diagrams in equilibrium, which gives information about the possible solubility limits and peritectic temperature. The technique can also be used for materials design and industrial process optimisation. For the present study, the phase diagram was calculated using the PANDAT 8 software (27) based on the CALPHAD method (28) and using the Scientific Group Thermodata Europe (SGTE) v. 4.4 thermodynamic database (29). Figure 1 shows that the calculated solid solubility limits are inconsistent with the existing experimental phase diagram (5). However, there is good compatibility between the theoretical phase diagram and recently obtained experimental data for the Re-Rh solid solutions. The comparison clearly shows that the previous experimental phase diagram for the Re-Rh system should be reconsidered and corrected below the peritectic temperature. The Rh part (fcc solid solutions) of the experimental phase diagram seems to be accurate, whereas the Re part (hcp solid solutions) requires correction.

Conclusion and Further Work

In conclusion, the proposed phase diagram for the Re-Rh system serves as a reliable model for representing the experimental data which are available to date. Further thermodynamic studies of solid solutions derived from high purity metals are recommended in order to improve the phase diagram. A critical analysis of the available experimental data on the solid solutions of pgms and rhenium should be carried out to construct a consistent set of thermodynamic data and phase diagrams for these systems. Improved data on binary systems will enable ternary and quaternary phase diagrams to be predicted with greater accuracy. Investigation of the physical properties of Re-Rh solid solutions such as their hardness, electrical and thermal conductivity and thermoelectric characteristics will improve the practical usefulness of this system.


The author is grateful to Dr Maria V. Yusenko (Ruprecht-Karls University of Heidelberg, Germany) for helpful discussions.



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The Author

Kirill Yusenko studied chemistry at the Novosibirsk State University, Russia, and received his PhD in 2005 at the Nikolaev Institute of Inorganic Chemistry, Novosibirsk, Russia, in the area of coordination and material chemistry of platinum group metals (pgms). After a year as a postdoctoral researcher at the University of Hohenheim, Stuttgart, Germany, he spent 3 years as a researcher at the Ruhr-University Bochum, Germany. Since 2011 he holds a position of the leader of the analytical laboratory at solid-chem GmbH based in Bochum, Germany. His scientific interests are focused on the chemistry of pgms and nanomaterials based on metallic particles, thin films and porous coordination polymers as well as solid-state chemistry of pharmaceutical materials.

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