Formation of Diffusion Pairs as an Initial Stage in the Process of Decomposition of Alloys

The paper discusses the researches that formed the basis of the study of the transition of “ordering-phase separation” and the reasons for such transition occurrence. Experimental results have presented what diffusion pairs are and how they occur in binary and multicomponent alloys. The paper illustrates that the chemical bonds between atoms are realized on the principle of pair interaction in both solid and liquid states of the alloy. The process of separating a multi-component ABC alloy into diffusion pairs A/B, A/C, and B/C occurs in a liquid solution, where the diffusion mobility of atoms is very high, and the resistance of the environment is relatively low. The driving force of such a process is the chemical attraction between like and unlike atoms, that is, the tendency to phase separation and the tendency to ordering. Quenching the liquid alloy into the water fixes a microstructure consisting of microscopic areas corresponding in composition to one or another diffusion pairs. The paper shows what exactly should be done so that such a branch of science as Materials Science could get rid of the empirical approach when creating new alloys.


Introduction
The contradictions discovered in the study of phase transformations in alloys were first seriously considered way back in the 1970s. The discussion held at that time on the initiative of Асta Metallurgica [1]- [6] did not lead to anything that could reasonably explain the appearance of particles of the second phase after quenching alloys from the solid solution range. However, this does not mean that such a discussion was useless. On the contrary, it helped to understand that an error crept somewhere in our ideas regarding diffusion phase transitions.
Moreover, later this error was found. The bottom line was that when interpreting data of X-ray phase analyses, no one paid attention to the existing limitations of the X-ray method. This method does not allow registering particles of a new phase if their size is smaller than the X-ray coherent scattering regions. At one time, A. Guinier [7] forewarned of these limitations. However, despite this warning, almost all phase diagram compilers utilized the X-ray phase analysis method without any doubt. When they have not detected particles of the second phase in the alloy structure they argued that such structure was a disordered solid solution. At the same time, it has been established that the resolution of the particles of the precipitated phase while using the transmission electron microscopy method (TEM) is by several orders higher than when using Х-ray phase analysis. TEM allows identifying such fine particles at a resolution where the X-ray phase analysis is powerless to compete.
The "ordering-phase separation" transition occurs in many binary alloys. It lies in the fact that at a quite certain temperature for every alloy, a seemingly surprising phenomenon occurs-the sign of the chemical interaction between dissimilar atoms changes. Consequent to such change, the microstructure type also changes: the previous microstructure dissolves and a microstructure forms corresponding to the new sign of the chemical interaction energy. Such transitions existence in nature means that all previous ideas about a solid solution, and its decomposition that occurred supposedly due to a decrease in solubility while lowering the temperature, are not consistent with reality [8].
For the first time, the "ordering-phase separation" transition was experimentally detected in alloys of the Fe-Cr system [9] by TEM. This transition in various binary alloys has definite characteristic features that become apparent at the level of microstructure changes: the sign of the energy of the chemical interaction between dissimilar atoms changes for each system at a specific temperature (the temperature of the transition of the "ordering-phase separation"). The microstructure that existed before the transition, for example, due to the tendency of the alloy to ordering (a solid solution with particles of chemical compounds) dissolves, and a microstructure forms in its place thanks to the tendency to phase separation (a solid solution with clusters or particles of the dissolved component). In some systems, such change in signs (and therefore the change in microstructure) can happen at more than at one temperature. When the energy of the chemical interatomic interaction turns out to be zero at the transition temperature, the microstructure of the alloy can have the form of a homogeneous solid solution (for example, in the Fe-Cr system). However, ranges of a uniform solid solution located between the phase separation areas and the areas of ordering were detected not all systems where such a transition occurred. In some cases, there was no sharp distinction, and particles of phases formed simultaneously on the same areas of the foil: ones-as a result of the tendency to ordering and others-as a result of phase separation [10]. Advances in Materials Physics and Chemistry A total absence of homogeneous solid solutions, detected by TEM in these alloys, indicates that all phase diagrams which represent these areas are based on incorrect interpretations of experimental results obtained using Х-ray phase analysis. In this case, "the solid solutions range" quenching seems to be a completely unnecessary operation. In some cases, a disordered solid solution was not detected even on the "ordering-separation" transition line. Authors [11] studying the Ni-Co system faced the situation when particles of the phase separation and particles of the ordering phases were detected near the transition temperature at the same time. Such a transition was called a diffuse "ordering-phase separation" transition.
The reasons for the attraction between dissimilar atoms, which lead to the formation of chemical compounds in alloys (tendency to ordering), and the reasons for the attraction between similar atoms, which lead to the formation of clusters or particles of atoms of the dissolved components (tendency to phase separation), have found now an adequate explanation in the framework of the existing electronic theory [12]. Assuming that a 100% metallic bond exists only in pure metals while in alloys, a certain part of valence electrons participate in the formation of other components of a strong chemical bond, the author [12] analyzed what kind of bonds exist between components using electronic theory. He came to the conclusion that the ionic bond arises in alloys when one or more pairs of valence electrons that, were supposed to participate in the formation of an electron gas are localized on the two nearest opposite atoms, leading to the formation of common orbitals in them. In this case, the formation of chemical compounds takes place in the alloy structure due to the attraction between the two nearest dissimilar neighbors. A covalent bond is formed when one or more pairs of valence electrons are involved in the formation of hybridized orbitals between two similar atoms. In this case, clusters or particles of the dissolved component are formed in the alloy structure due to the attraction between two similar atoms. This means that the property of alloys to change the sign of the chemical bond when the heating temperature changes, is derived from the very essence of the electronic structure of alloys [12].
This paper brings up an issue of how the formation of two-component phases occurs in multicomponent alloys under the conditions of paired chemical interaction between the nearest neighbors.

Materials and Methods
To answer the question of what structure the alloy has in the liquid state, the studied alloys were quenched by pouring out a small amount of liquid metal directly from the ladle into the water. We supposed that pouring out the metal not into any intermediate container, but directly into the water, would cast aside any doubts that we are fixing the microstructure of the liquid state in the alloy. Four binary alloys-Co 3 V, Ni 68 Cr 32 , Ni 46 Cr 54 and Ni 40 Cr 60 -and the ternary alloy Co 53 Mo 35 Cr 12 were used as examples for the study the latter is close in composition to the well-known Tribaloy alloys based on Co-E400C and E-800. They

Y. Ustinovshikov Advances in Materials Physics and Chemistry
were melted in a vacuum induction furnace. Blanks for thin foils were cut from the obtained castings and foils were made using standard procedure. The study was carried out on an EM-125 electron microscope at an accelerating voltage of 100 kV using standard procedure.

Binary Alloys
Previously, the author of this paper found that after water-quenching the Co 3 V alloy from 1550˚C, there were found the rounded form particles of vanadium atoms in the microstructure of the alloy [13]. Detection of crystalline particles of a more refractory component in the structure of samples quenched from high temperatures was explained previously by the fact that such particles "did not have time to dissolve" at this temperature. We decided to verify this explanation. We melted the same alloy as in [13] and kept it at 1550˚C for 2 hours, and after that, it was quenched into the water. Figure 1 shows the microstructure of this alloy. It turned out that the microstructure of the alloy quenched in water from 1550˚C at no exposure and at 2 hours exposure are identical. This means that precisely this phase separation microstructure is equilibrium for the liquid state of the alloy at 1550˚C. Neither precipitates in the microstructure nor are satellites found near the matrix reflections at some microscopic distance from that point of the foil which structure is shown in Figure 1. A microstructure is visible that at initial approximation can be characterized as a section of a solid solution. This arrangement of vanadium particles in the microstructure suggests that they were precipitated into the liquid alloy in the first place than the rest of the matrix.
An even more interesting picture appeared in the Ni-Cr system. After quenching the Ni 40 Cr 60 and Ni 68 Cr 32 alloys from 1450˚C in water, two types of particles are fixed in the microstructure. In the Ni 40 Cr 60 alloy, we can observe elongated Ni 2 Cr particles with boundaries consisting of a dense network of dislocations ( Figure 2) as a consequence of the tendency towards ordering. In the Ni 68 Cr 32 alloy, the rounded dark clusters of chromium atoms (with diffuse edges) These results allowed the author [14] to conclude that the "ordering-phase separation" transition occurs not only when the temperature of the alloy changes but also when its composition changes.
In Figure 4, we were able to fix the boundary between the two types of microstructure-the structure of Cr clusters formed due to the tendency to phase separation ( Figure 3) and Ni 2 Cr particles formed due to the tendency to ordering ( Figure 2). In contrast to alloys of the Fe-Cr system where regions of a disordered solid solution are located between these types of microstructure, these types of microstructure are in contact in alloys of the Ni-Cr system (Figure 4).
Possibly, it was exactly this feature of the Ni-Cr alloys that previously led the   . Microstructure. The boundary between two diffusion pairs: in one of them, there is a tendency towards phase separation (above), in the other, towards ordering. Advances in Materials Physics and Chemistry author to conclude that the "ordering-phase separation" transition in these alloys can occur in different Ni-Cr alloys at different temperatures [15].
The detection of a microstructure that is not a disordered solid solution after quenching from a liquid state (Figures 1-4) may indicate that chemical interactions exist in both crystalline and liquid states. This fact does not contradict the electronic theory of alloys.
Under the conditions of paired interactions existence, it is not difficult for us to understand the process of the formation of the chemical compounds (during ordering) or clusters (during phase separation) in binary alloys. At the same time, when such a process occurs in a three-component alloy it is hard to imagine how this can happen, if not to assume that particles of the three-component phases are formed in them. Apparently, this is precisely the reason why many researchers concluded that there is a possibility of precipitation of three-component Laves phases in ternary alloys, even though the electronic theory of alloys does not allow this possibility.

Co53Mo35Cr12 Superalloy
The experimental results obtained by using TEM on the three-component Co 53 Mo 35 Cr 12 alloy [16] show that only two-component chemical compounds as well as two-component clusters or one-component particles of a dissolved element can be detected in them [8]. Because covalent and ionic bonds arise in alloys thanks to pairwise interactions between the nearest neighbors, three-component phases cannot be formed in principle. The following question immediately arises: how should the redistribution of atoms of each of the three components occur so that the two-component phase can form from a disordered solution? As noted above, when a binary alloy is in a liquid state, because of the very high diffusion rate the atoms of each of the components reach the equilibrium distribution of the chemical potential throughout the entire volume of the alloy easily enough. This means that at such a diffusion rate in the ABC alloy sections of the alloy with approaching in composition to AB, AC, or BC pairs are formed easily if there is a tendency to ordering in these pairs. The pairs AA, BB, and СС are formed if there is a tendency to phase separation. If such a liquid alloy is quenched into the water, then the structure of such an equilibrium state can be revealed.
Unfortunately, the concept of the "diffusion pair" has not yet been included in the everyday life of materials scientists since there is no convincing experimental evidence of its real existence. The present author introducing the concept of a diffusion pair tried to prove that the formation of such pairs occurs precisely in molten metal [8]. When the alloy solidifies, the structure consisting of such diffusion pairs is preserved, and corresponding phase particles can be formed inside of such pairs. All these explanations are like fantasy since we are used to believing that there are no chemical bonds in alloys at high temperatures. It is believed that the mutual arrangement of atoms of different types is completely chaotic in the liquid state and that chemical bonds "arise" only at relatively low Advances in Materials Physics and Chemistry heating temperatures.
Alloys of such composition as Co 53 Mo 35 Cr 12 superalloy belong to a group of wear-resistant alloys, which, as it is considered [17], obtains high strength and hardness due to the formation of coarsely dispersed intermetallic Laves phase particles. Its composition is similar to that of known Cobalt-based Tribaloy alloys-T-400C and T-800, containing approximately the same amount of Mo and Cr as in the Co 53 Mo 35 Cr 12 alloy [17]. Alloys of this composition are generally regarded as hyper eutectic alloys, containing 30% -70% of intermetallic distributed in a relatively soft solid solution [18]. The solid primary phase is a three-component Laves phase having a melting point of about 1560˚C and a composition approximately corresponding to compositions of Co 3 Mo 2 Si or CoMoSi [18]. Figure 5(a) shows a bright-field image of the microstructure of the Co 53 Mo 35 Cr 12 alloy after its quenching in water from a liquid state (1550˚C). Alternating dark and light elongated grains of the Co 3 Mo phase can be observed in the form of slightly flexed arcs. Inside light arcs we can observe narrow transverse dark bands, which occur in the crystal lattice during quenching. It is apparent, that these particles of the Co 3 Mo phase are located inside the Co/Mo diffusion pair. Figure 5(b) shows the electron diffraction pattern taken from the microstructure in Figure 5(a). The pattern indicates that such particles have the hexagonal structure D0 19 , which is characteristic of the Co 3 Mo phase. These grains form at 1340˚C, i.e. at the moment when the Co 3 Mo phase solidifies. Along with reflections from a chemical compound, randomly scattered reflections are observed apparently from Cr particles.
In Figure 6, we presented the location of diffusion pairs and binary phases in the Co 53 Mo 35 Cr 12 ternary alloy at a temperature above the melting point of the alloy. Dashed lines indicate hypothetical boundaries of diffusion pairs. Inside these diffusion pairs, precipitates 3 (Co 3 Mo chemical compound) or 4 (clusters or particles of Cr atoms) are formed. Space 5 marks the "boundary" separating microscopic sites 1 and 2. Figure 7 shows the cellular microstructure which was formed due to the tendency to phase separation at 1300˚C in the Co 70 Mo 30 binary alloy [19]. This alloy has almost the same amount of Mo as the three-component alloy under study.    there is a tendency to phase separation, particles (clusters) of a corresponding solute are formed. If in any binary alloy, the "ordering-phase separation" transition occurs with a change in temperature then the same transition will also occur in diffusion pair close to it in composition and temperature

Y. Ustinovshikov Advances in Materials Physics and Chemistry
Sizes and composition of diffusion pairs preserve until the next re-melting, regardless of whether an alloy was subjected to heat treatment when it was in a crystalline state. With a change in the heat treatment temperature only the microstructure inside each type of diffusion pair changes.

Conclusions
Introduction to such a concept as a "diffusion pair" completely changes our way of thinking about how the process of the nucleation of new phases in alloys, including in multi-component, occurs and why the precipitated phases can only be one-or two-component, but not multi-component.
It was experimentally found that the starting point for the decomposition of an alloy is not the formation of a disordered solid solution after quenching, but the liquid state the alloy is in during its smelting, when in it diffusion pairs are formed thanks to the existence of ionic and covalent chemical bonds between the nearest neighbors. The initial structure for the decomposition of the alloy is the microstructure, which is fixed by quenching in water from a liquid state (structure of diffusion pairs).
A structure of diffusion pairs comprises microscopic sites, each of which represents one or other binary micro-solution enriched by atoms of one solute.
Theoretically, a multi-component alloy in the course of its smelting is divided into as many types of diffusion pairs as its composition allows. Heat treatment at various temperatures below the melting point leads to the formation inside diffusion pairs of particles of two types. These are chemical compounds (tendency to ordering) or two-component clusters and particles comprising atoms of one component (tendency to phase separation).
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

Conflicts of Interest
The author declares no conflicts of interest regarding the publication of this paper.