Bimetallic Nanomaterials: Functional Efficacy towards Synthesis, Photocatalytic Degradation, and Biomedical CatalystsView this Special Issue
Ag-Cu Colloid Synthesis: Bimetallic Nanoparticle Characterisation and Thermal Treatment
The Ag-Cu bimetallic colloidal nanoparticles (NPs) were prepared by solvothermal synthesis from metalloorganic precursors in a mixture of organic solvents. The nanoparticles were characterized by dynamic light scattering (DLS) and small angle X-ray scattering (SAXS). The properties of metallic core and organic shell of the nanoparticles were studied by direct inlet probe mass spectrometry (DIP/MS), Knudsen effusion mass spectrometry (KEMS), double-pulse laser-induced breakdown spectroscopy (DPLIBS), and differential scanning calorimetry (DSC). The transmission electron microscopy (TEM) and scanning electron microscopy (SEM) were used for particle characterization before and after thermal analysis. The experiment yielded results that were for AgCu nanoparticles for the first time. The detected liquidus temperature has been compared with the prediction obtained from calculation of the phase diagram of Ag-Cu nanoalloy. The experimental results show that of near-eutectic composition AgCu nanoparticles possess the fcc crystal lattice. Surprisingly, spinodal decomposition was not observed inside the AgCu nanoparticles at temperatures up to 230°C. The depression of the eutectic AgCu melting point was calculated but not observed. The eutectic AgCu microparticles are formed before melting.
The nanomaterial sciences have contributed to solving constantly increasing number of complex problems in the past decades. The same is true in the field of colloidal solutions of inorganic substances including pure metals and their alloys. In the field of colloidal solutions of pure noble metals, a significant progress has been made in the last few years, which allows us to proceed towards more complex systems including bimetallic colloidal nanoparticles.
Working with nanoparticles of base metals in pure state or with their alloys (nanoalloys) is challenging because of their instability in a common laboratory environment (high reactivity, oxidation). For this reason, it is necessary to protect the nanoparticles. Protection is realized by using the surface layer (protective shell) formed by surfactants or adsorbed substances [1, 2]. The inner core of the nanoparticles is thus shielded from adverse reactions (e.g., from oxidation by atmospheric oxygen) or from mutual particle contacts. Metal nanoparticles must be stored in a liquid to present stable nanodispersion solutions (colloids). For this purpose, especially in aqueous solutions, the use of surfactants forming a shell with surface charge ( potential) is advantageous .
Colloids of metals are systems, which involve solid nanoobjects that consist of a metallic core surrounded by a protective shell, which have either steric (nonpolar solvents) or electrostatic (polar solvents) stabilization function , as well as of ions and neutral molecules. After solvent evaporation we can obtain nanopowders, which have to be stabilized by adsorbed molecules or by other protective coating. The frequently studied colloids are often solutions of nanoparticles of noble metals (Au, Ag, and Pt) [5, 6] or colloids of metal oxide nanopowders [7, 8], which are naturally stable in air.
Robust conventional materials (bulk) formed from oxides, pure metals, and alloys are usually stable systems with well-defined crystallographic structures. The growing importance of surface-free energy and stress with decreasing particle size must be considered. It is possible to observe changes in thermodynamic stability associated with size. Decreasing particle size can induce modification of cell parameters and/or structural transformations . The increased surface/volume ratio leads to observation of many other effects [10, 11] and nanoparticles exhibit unique properties, which are not seen in the bulk materials . A typical nanoeffect is the melting point depression (MPD), which was thermodynamically predicted  to be the result of increased proportion of surface to volume atoms. This effect is commonly observed for pure metal nanoparticles .
Experimental work with nonnoble bimetallic nanoparticles (binary nanoalloys) is challenging for the synthesis but a large application potential is expected. The changes of liquidus temperatures and also in other phase transformations (including reduction of the eutectic temperatures ) of nanoalloys occur. Moreover, the properties of binary nanoparticles are closely linked to their chemical composition.
Bimetallic nanoparticles, particularly those with well-defined alloy structures of noble metals, such as Pt-Ru, Cu-Pd, Pt-Mo, Pt-W, Pt-Ni, and Au-Ag provide practical examples of the influence of composition and structure on their catalytic properties [16, 17]. Au-Ag nanoparticles of alloy-type structure exhibit high catalytic activities for low temperature CO oxidation  and aerobic oxidation of alcohols . Interesting optical properties are displayed by metal core/metal shell nanoparticles, for example Au@Cu  and Au@Ag .
The properties and hence the applicability of metallic nanoparticles depend not only on their size but also on the shape that can be controlled by chemical synthesis. Metal nanoparticles have been prepared in various shapes (other than a spherical), such as rods, cubes, and wires, and also in the form of nanocrystals having an unexpected symmetry. The shape of the nanostructure is equally important for controlling different properties . In the case of silver nanoparticles, the pentamerous symmetry was observed, which is prohibited for the bulk materials . Pentamerous symmetry corresponds to the presence of metal nanoparticles in the form of the decahedron [24, 25] or icosahedron .
Enhanced catalytic activity can be expected for copper. Copper nanoparticles and nanorods were synthesized by thermal decomposition of copper precursors in the presence of surfactants. Colloidal solutions of copper nanoparticles also have strong antifungal  and antimicrobial  properties, similar to silver [29–31].
The preparation of the Cu NPs is problematic due to their easy oxidation. However, one can prepare CuO [32, 33] nanoparticles that are of great interest due to their potential applications in a wide variety of areas including electronic and optoelectronic devices. The behavior of bulk alloys of copper and silver is generally well known as they form a eutectic system. Metal core/metal shell (Cu@Ag) microparticles were also prepared for use in soldering . The interaction between Ag NPs and Cu substrate was studied in work [10, 11]. Very interesting results were obtained also in an experimental study that deals with the properties of Au@Ag@Cu nanoparticles (three-metal core-shell structure) .
The Ag-Cu system exhibits a limited mutual solubility of Ag- and Cu-rich phases in solid. Therefore, a special structure of nanoparticles can be expected. Calculations of the Ag-Cu nanoalloy phase diagram of this system were presented in the papers [36, 37] but no experimental information on reliability of calculated values is given till now. One of the unresolved issues is what a tendency for Ag and Cu to the spinodal decomposition at the nanometer level is.
This work is focused on the Ag-Cu colloid nanoalloy system of near-eutectic composition Ag-28 wt% Cu. The aim is to synthesize nanoparticles chemically so as to prevent oxidation of the nanoparticles. For this reason, the synthesis in organic solvents in which the solubility of oxygen is negligible was selected. Subsequent characterization is concentrated on the study of both the metallic core and the protective shell, which is supposed to consist of organic molecules. The aim is also to assess the thermal stability of the obtained AgCu nanoparticles and compare it with theoretical calculation of the Ag-Cu nanoalloy phase diagram based on equilibrium thermodynamics.
2. Synthesis of Ag-Cu Colloid
The samples of the Ag-Cu nanoalloy colloids were synthesized by chemical solvothermal coreduction of silver acetate and copper acetylacetonate Cu(acac)2 in a particular stoichiometric ratio (metal input equivalent to Ag-42 at % Cu in NPs, that is, eutectic composition) in oleylamine and octadecene at 230°C under an inert atmosphere of nitrogen.
The molecular precursors were dissolved in oleylamine and this solution was injected into a hot solvent composed of 1-octadecene and oleylamine at 230°C. As a heating bath, Sn-Pb solder was used. In the reaction mixture, the precursor metal cations were reduced at this temperature and formed the Ag-Cu nanoalloy colloid. The product was separated by centrifugation for 20 min on a Heraeus Labofuge 400 centrifuge usually at 6000 rpm. The product was separated by precipitation with methanol, centrifugation for 10–30 min on the same centrifuge at usually 3500 rpm, and washing with methanol/hexane solution. The powders were washed to remove organic-soluble residues by three or more cycles of resuspending them in hexane or light petroleum and subsequent centrifugations. Thus the colloidal solution of the AgCu NPs in hexane was prepared. The colloids were of yellow-brown color (absorption maxima 390–420 nm) and 20 mL volume, and they typically contained (5–30) mg of the solid fraction.
The above described synthetic procedure has been repeated many times and tens of Ag-Cu colloidal samples were characterized and studied by the methods described in next sections. The order number of synthesis is included in the sample designation (e.g., AgCu43).
3. Characterization of Ag-Cu Colloidal Solution
The colloids of the synthetized nanoparticles were characterized by various techniques: UV-VIS spectroscopy (maximum 420 nm), dynamic light scattering (DLS), small-angle X-ray scattering (SAXS), and conventional and high resolution transmission electron microscopy (TEM and HRTEM). The aim was to measure size and shape of the synthetized nanosized particles in organic solvent solution.
The hydrodynamic diameter of the Ag-Cu colloidal nanoparticles was measured by the DLS method on a Zetasizer Nano ZS ZEN 3500 DLS instrument at the angle of 173° in a hexane solution at 25°C. The results are based on the intensity of scattered light, with the source being He-Ne red laser with a wavelength of 632.8 nm. The DLS measurements were always carried out immediately after the synthesis; some measurements were also carried out at time intervals. A typical measurement result is shown in Figure 1. The measured hydrodynamic average sphere diameters of the nanometer-sized particles of the Ag-Cu colloids immediately after the synthesis were between 20 and 40 nm.
The size and shape of the nanometer-size particles of the Ag-Cu colloids were measured by the SAXS method on a Rigaku BioSAXS-1000 instrument. The results of the SAXS analysis indicate that the nanometer-sized objects in the Ag-Cu colloids display an average shape presented in Figure 2. (Sample AgCu36 was prepared from bis-(dodecylamino)silver(I) nitrate.) The measurements indicated that the nanometer-sized objects in the colloid samples are of a shape close to sphere or lenticular. The size of these particles was between 20 and 35 nm.
Transmission electron microscopy (TEM) observations were carried out on a Philips CM12 STEM transmission electron microscope operated at 120 kV and a high resolution TEM (HRTEM) JEOL JEM2010 FEG operated at 200 kV with a point resolution of 2.3 Å. Both instruments were equipped with an energy dispersive X-ray (EDX) detector. To prepare samples for TEM, a drop of dilute Ag-Cu colloid suspension was placed on a carbon-coated grid and allowed to dry by evaporation at ambient temperature.
Both TEM and HRTEM results display only the AgCu metallic core of the nanoparticles. The solvent/protective organic shell is a subject of evaporation and/or destruction due to vacuum inside the microscope and in addition the method is less sensitive to light elements (C, H, O, and N), which constitute the shell. Detailed TEM and HRTEM images of the metallic core of the AgCu nanoparticles are shown in Figures 3 and 4. The size distributions of the metallic cores given in Figure 1 are consistent with the distribution in Figure 3.
If we look at Figure 3 in detail, it can be seen (HRTEM, the big particle at the bottom) that the metallic cores are not strictly spherical but they are bounded by crystal planes. Bigger particles are often multiply twinned  and in some cases it is possible to discern seemingly pentamerous symmetry that has been observed also for different nanomaterials by other authors [25, 26]. The averaged diameters of the metallic cores obtained from TEM of AgCu were (15–25) nm. The high resolution image of a small particle in Figure 4 confirms the expected face-centred cubic crystal lattice.
4. Characterization of AgCu Nanoparticles
Our further investigation of the AgCu nanoparticles (AgCu NPs) was aimed at both the AgCu metallic core and the protective shell formed by organic compounds. For this reason two methods were used, namely, differential scanning calorimetry (DSC) and mass spectrometry (MS).
4.1. AgCu Metallic Core Investigation
Thermal properties of the Ag-Cu NPs were investigated by simultaneous thermal analysis (STA) involving DSC. The experiments were carried out on a Netzsch STA 409 CD/3/403/5/G apparatus, a specially-adapted type of the commercial STA 409 CD-QMS 403/5 Skimmer Coupling instrument  under flowing (70 cm3 min−1) of pure (6N) argon with the heating rate of 10°C min−1 from room temperature to 1250°C. The samples (approximately 10 mg) were contained in Y2O3-coated alumina crucibles covered with a lid. The oxygen-free atmosphere was maintained by a metallic zirconium trap located in the hot zone of the calorimeter. This equipment allows theoretical reduction of the oxygen content in the flowing gas in the furnace to a partial equilibrium oxygen pressure above ZrO2 oxide (at real conditions to a partial pressure equivalent to 9N inert gas at 1000°C). In other words, oxygen was removed from the inert gas. This is important because, among other things, oxygen affects the melting point of pure Ag. The tabulated melting point of Ag is shifted by 9.1°C in air (see Netzsch STA 409 manual for calibration procedure ). A similar effect is present for copper and very likely also for the Ag-Cu bulk alloy. Thus, the eutectic temperature 779°C (eutectic composition Ag-28.1 wt% Cu) for bulk Ag-Cu  is uncertain and may be shifted during the DSC measurement.
The DSC signal of sample AgCu26 in Figure 5 reveals the thermal behavior of the eutectic bulk alloy. The nanoparticle melting point depression (MPD) (calculated in Section 5) in the first heating sequence was not experimentally observed because the AgCu NPs form bulk microsized particles somewhere at temperatures below the first melting. The absence of MPD was observed in all our DSC experiments. Some samples reveal a small eutectic signal only. A few samples reveal surprisingly no signal as if the nanoparticles were lost. The reason will be explained in discussion (Section 6).
The DSC signal in Figure 6 (sample AgCu27) reveal an exemplary shape for the bulk Ag-Cu hypoeutectic alloy at the second and third remelting. The first heating onset at 769.2°C in Figure 6 agrees reasonably with the tabulated Ag-Cu eutectic temperature of 779°C. When the sample undergoes the second and third heating, we can detect an extra signal at 840°C. The occurrence of the combined signal at 840°C and 779°C is typical for cases of hyper- or hypoeutectic Ag-Cu alloys. Conversely, the absence of signal at 840°C and maintaining signal at 780°C is a confirmation of the eutectic composition of the alloys at the start of the DSC experiment. This difference indicates that the alloy composition changes during the analysis from eutectic to noneutectic.
Transmission electron microscopy (TEM) and scanning electron microscopy (SEM) were used for morphology study of the AgCu NPs before and after the thermal treatment in the differential scanning calorimeter (DSC). The TEM image of synthesized AgCu nanoparticles (sample AgCu26) before the DSC measurement is in Figure 7. The situation after DSC analysis was investigated by a TESCAN LYRA 3 XMU FEG/SEM × FIB scanning electron microscope (SEM). The result after repeated heating and cooling during DSC measurement is in Figure 8. Moreover, we can see that the AgCu NPs sample after DSC consists of black carbonized powder decorated with metallic spheres (the bulk Ag-Cu eutectic alloy has a color close to gold).
The AgCu nanoparticles before DSC in Figure 7 reveal clearly that the situation is consistent with Figure 3 (sample AgCu43). A completely different view is seen after DSC in Figure 8 that clearly shows the microsized balls with typical phase constitution of a fine Ag-Cu eutectic alloy. The EDX microanalysis identifies an average metal composition of Ag-42 wt% Cu (sample AgCu26). The composition of the phases was Ag-65 wt% Cu (grey regions) and Ag-10 wt% Cu (white regions). It should be noted that analyses of thinner grey regions were inevitably more affected by the presence of surrounding Ag-rich phase. The equilibrium Ag-Cu phase diagram  reveals a phase composition (Ag-92.0 wt% Cu and Ag-8.8 wt% Cu) at the eutectic temperature of 779°C.
The inductively-coupled plasma atomic emission spectroscopy (ICP-OES) analysis of micron-sized particles was performed after the DSC measurements. In all cases, a lower copper content with respect to the starting composition of the nanoparticles was observed.
4.2. Organic Shell Investigation
To understand the degradation changes during heating of the AgCu NPs, direct inlet probe mass spectrometry (DIP/MS) was used. In this procedure, performed on a TSQ Quantum XLS (Thermo Scientific) instrument equipped with a NIST 11 spectral library, the samples were quickly heated from 30°C to 450°C with the dwell time at the starting temperature for 30 s and at the final temperature for 60 s with the heating rate 100°C min−1 and mass spectral information regularly acquired after ionization at electron energy of 70 eV every 1 s. The resulting thermogram complemented with information on the respective organic compounds is shown in Figure 9, whereas the comparison of the acquired mass spectra with the tabulated ones from the NIST 11 spectral database is shown in Figure 10.
As the results from these measurements indicate, the surface effects on the alloy nanoparticles caused by the organic compounds can be expected. For a more detailed understanding of the phenomena, Knudsen effusion mass spectrometric (KEMS) measurements using a Netzsch STA 409 instrument (specified already in Section 4.1) were performed. In this case, the samples underwent slow heating and cooling process at conditions consistent with the DSC measurement (heating from 30 to 940°C with the heating rate of 5°C min−1) and the mass spectra were recorded within each 40 s. As follows from Figure 11, the expected organic compounds are still detectable at temperatures much higher than their tabulated boiling temperatures (~500°C).
This finding indicates a surface reaction of organic compounds with the alloy nanoparticles which is also supported by the fact that after the heating a pink thin coating was observed in the Knudsen cell around the inner small alumina crucible in which the sample was placed while the remaining sample in the alumina crucible was grey (see Figure 12).
A chemical analysis by double-pulse laser-induced breakdown spectroscopy (DPLIBS) showed the pink coating to be rich in copper and the remaining black sample in silver. The respective spectra are shown in Figure 13.
The mass transfer of copper-containing substances from the alumina crucible and Cu deposition in the Knudsen cell (see Figure 12) indicate copper form organic compound(s) which is deposited at colder places. Thus, the chemical composition of the AgCu nanoparticles is changing to a higher Ag content during heating as copper is leaving the AgCu NPs sample.
5. Calculation of Ag-Cu Nanoalloy Phase Diagram
The surface-to-volume ratio increases with decreasing nanoparticle size and brings therefore a substantial contribution of the surface energy to the Gibbs energy in thermodynamic considerations. The contribution of the surface energy to the total Gibbs energy of the particles with dimensions 5–100 nm can be thermodynamically estimated by coupling of surface contribution to the Gibbs energy of phase in the CALPHAD approach.
The method presented by Park and Lee , which is based on the minimization of the molar Gibbs energy of the entire system represented by the sum of the molar Gibbs energy of the phases occurred in the system, is used in this work for calculation of the phase diagram of the Ag-Cu system in the CALPHAD method. The Gibbs energy of a phase (liquid or solid) is given by where is the Gibbs energy of the phase in form of bulk binary alloy and means the surface Gibbs energy contribution of nanoparticles.
The Gibbs energy of the bulk is expressed by the standard CALPHAD way where and are molar fractions of components (i.e., Ag) and (i.e., Cu), and are standard Gibbs energies of and in the given phase , is the gas constant, and is the temperature. is the excess Gibbs energy of the bulk of phase, expressed usually by the Redlich-Kister polynomial where and parameters are temperature dependent. Consider
The temperature dependent parameters can be extracted from a thermodynamic database .
The Gibbs energy of the surface of phase is expressed for isotropic spherical particles by where is the surface tension, is the molar volume, is the radius of the particle, and is the correction factor considering effects from the shape, the surface strain due to nonuniformity, and the uncertainty of the surface tension measurements . The value of for an fcc solid structure as well as for a liquid was estimated to be 1.00 .
Input data for the calculation of surface tension and molar volume needed for Gibbs energy of the surface evaluation for the Ag-Cu system are summarized in Appendix A. With respect to limited mutual solubility (maximum 10 at%) of these components in a solid fcc-phase, only the concentration dependence of surface tension in liquid phase was calculated by the Butler equation [43, 44]. The result is given in Figure 14.
The Gibbs energies of the bulk for liquid and solid (fcc) phases consisting of Ag and Cu species were calculated using thermodynamic description based on input data for the Ag-Cu binary alloy given in Appendix B. Details of the calculation are described for the case of CuNi nanoparticles by Sopousek et al. .
The Gibbs energy of the surface and Gibbs energies of the bulk were summed (see (1)) for liquid as well as for solid (fcc) phases. The phase energies involving surface contribution were treated by a standard way using CALPHAD method applying ThermoCalc software . The resulting phase diagram for the Ag-Cu nanoalloy is presented in Figure 15. The phase boundaries were calculated for a diameter of 20 nm (i.e., ) and they are compared with the phase diagram for conventional (bulk) Ag-Cu alloy ().
6. Discussion of Results
Solvothermal synthesis was used for the sample preparation of the Ag-Cu bimetallic colloids. We managed to prepare samples suitable for further characterization and analysis. The yield of the synthesis was limited. The preparation of large quantities would not lead to a good dispersion of nanoparticles. The isolated yield was also affected by purifying samples via centrifugation and decantation. The intention was to prepare the nanoparticles with eutectic composition. The stability of the obtained colloid was sufficient for the subsequent use of samples for further characterization.
The obtained colloidal samples were transferred into hexane and characterized by various methods. By comparing the size distribution of the nanoparticles obtained by the TEM and DLS methods (see Figure 1), it was found that the hydrodynamic diameter of nanoparticles is about 45% larger than the radius of the core (i.e., the difference of the radii of about 3.5 nm). This great difference indicates that also in the nonpolar medium there is the stabilizing shell composed of several layers of organic molecules. This hypothesis is also supported by SAXS measurements (Figure 2). Moreover, SAXS indicates a slight preference for lenticular shape of the AgCu nanoparticles.
The pentamerous symmetries were found in some particles via HRTEM (Figure 3). It is possible to consider the AgCu nanoparticles giving priority to the shape of decahedron. This shape can explain the lenticular models offered by SAXS.
The atomic arrangements inside individual nanoparticles were also studied by HRTEM (see Figure 4). The segregation of Ag from Cu, which occurred for the equilibrated bulk Ag-Cu alloy (Figures 8(c) and 15), was excluded in nanoparticles produced at 230°C. Simultaneously, it was confirmed that Ag and Cu form a substitutional solid solution with the face centered cubic lattice. The disturbances in the crystal lattice are boundaries of twin crystals (twins). No oxides were observed on the AgCu nanoparticle surface. This confirms that the thermal synthesis in organic solvent with a minimum solubility of oxygen is a suitable method for the preparation of oxide-free metallic nanoparticles.
An experiment has also dealt with the thermal behavior of nanoparticles at gradually increasing temperature. The AgCu metallic core was examined by DSC. Behavior of stabilizing protective shell was monitored by mass spectrometry.
By DSC method, it was found that the AgCu nanoparticles do not show the melting point depression. The eutectic melting point of the AgCu bulk (Figure 6) and the DSC signal of bulk Ag-Cu alloy having no eutectic composition (Figure 5) were detected. All together, the changes of the DSC signals of samples during the heat treatments and the chemical analyses of the samples after DSC by the ICP-OES method show that there are changes in the chemical composition of nanoparticles accompanied by a loss of copper from the samples. The changes in the concentration of Cu cannot be explained by increased evaporation of Cu, because the vapor pressure of Cu and Ag is negligible at the monitored temperatures even if we allow discretion of the Kelvin equation.
The final stage of the thermal treating of the Ag-Cu NPs is a compact eutectic bulk alloy (Figure 8). Organic molecules carbonize during heating to high temperatures (1000°C) and they create a carbon-rich residue, which is visible in Figure 8 (top micrograph).
The DIP mass spectrometry showed important information about what is released from the stabilization shell of AgCu NPs with increasing temperature. During this experiment, nanoparticles are heated at high speed (about 100 K/min) to 450°C. The DIP/MS thermogram (Figure 9) demonstrates that increasing temperature gives rise to removal of organic molecules (successively: 7-octadecene, oleylamine, and 14-octadecenal), which are related to the composition of the reaction mixture in the synthesis of Ag-Cu colloid. At the highest temperatures, the MS spectrum of outgoing substances corresponds to 14-octadecenal with a large signal at 207 m/z.
The experiment of heating of the AgCu NPs with stabilizing shell was repeated with a higher accuracy by the Knudsen effusion mass spectrometry (KEMS) at defined slow heating rate of 5 K/min and the maximum temperature about 1000°C. The MS spectra given in Figure 11. were observed. An important finding was that the signals of fragments of organic molecules were detected at temperatures well above 450°C. In particular, the peak at 207 m/z (see Figure 11) is detected with the maximum intensity at the temperature of 420°C (in agreement with DIP/MS in Figure 9) and later increases at temperatures close to the highest temperature of 940°C. The explanation for this effect is that the organic fragments are generated during deposition of Cu inside the Knudsen cell (see Figure 12).
The calculation of the phase diagram of AgCu nanoalloy by the CALPHAD method using surface tension of the bulk Ag-Cu alloy in liquid and solid (fcc) states is in the theoretical Section 5 of this paper. The result in Figure 15 demonstrates the shift of the phase boundaries when the sample is composed only of spherical AgCu nanoparticles with a diameter of 20 nm. This calculation does not include the effect of the organic stabilization shell, whose presence on the AgCu NPs surface has been proven in this work. However, this result allows calculating the temperature depression of the phase transformations for spherical AgCu nanoparticles in a first approximation. From this calculation (Figure 15), it is clear that the eutectic melting temperature of the Ag-Cu alloy in the form of bulk is 780°C and for 20 nm nanoparticles is theoretically reduced to 756°C. This phenomenon was not observed experimentally due to the interaction between the nanoparticles themselves and their surroundings before reaching the melting point.
(i)The solvothermal synthesis of Ag-Cu colloid and storing of AgCu nanoparticles in nonpolar hydrocarbons exhibiting negligible solubility of oxygen is a suitable method for the preparation of oxide-uncontaminated samples.(ii)The investigated AgCu nanoparticles have the fcc crystal lattice. It is possible that the nanoparticles attain a shape with pentamerous symmetry.(iii)Spinodal decomposition was not observed inside the AgCu nanoparticles at temperatures below 230°C. The reason can be the metastable state of the nanoparticles but there are also other unknown effects at the nanoscale level that hinder the Cu- and Ag-rich phase separation. General equilibrium thermodynamics cannot be used to describe this system at these conditions. The eutectic microparticles are formed before melting.(iv)A spontaneous separation of copper and silver atoms was observed during the heating of the AgCu nanoparticles under high vacuum. This effect was accompanied by high organic fragment concentrations in MS spectra.(v)The depression of the eutectic Ag-Cu alloy melting point was calculated but not observed.
A. Table I
Physical properties of pure Ag and Cu elements (L: liquid and S: solid (i.e., fcc) phases)
Surface Tension in [Nm−1]
Molar Volume in [m3mol−1]
Ag : Cu:
B. Table II
Thermodynamic parameters of pure elements  in liquid and solid (fcc) phases and binary excess molar Gibbs energy of bulk Ag-Cu alloy in liquid and solid (fcc) phases  complemented by surface energy contribution are dependent on reciprocal radius (see in bold below).
PARAMETER G(LIQUID,AG;0) 298.15 3815.564 + 2.462e − 5RR + 109.310993*T − 1.906e − 9*RR*T − 23.8463314TLN(T) − 1.790585E − 3T2 − 5.18e − 13RRT2 − 0.398587E − 6T3 − 12011T− 1044.905E − 23T7; 1234.93 Y − 3587.111 2.462e 5RR + 180.964656T 1.906e 9RRT − 33.472TLN(T) − 5.18e 13RRT2; 3000 N !
PARAMETER G(FCC_A1,AG:VA;0) 298.15 − 7209.512 + 3.224e − 5RR + 118.202013T − 5.1104e − 9RRT − 23.8463314TLN(T) − 1.790585E − 3T2 − 0.398587E − 6T3 −12011T(−1); 1234.93 Y − 15095.252 + 3.224e − 5RR + 190.266404T −5.1104e − 9RRT − 33.472TLN(T) + 1411.773E + 26T(−9); 3000 N !
PARAMETER G(LIQUID,CU;0) 298.15 5194.277 + 2.258E − 5RR + 120.973331T − 5.1669E −10RRT − 24.112392TLN(T) − 2.65684E − 3T2 − 3.6522E − 13RRT2 + 0.129223E − 6T3 + 52478T(−1) − 584.89E − 23T7; 1357.77 Y − 46.54 + 2.258E − 5RR +173.881484T − 5.1669E − 10RRT − 31.38TLN(T) −3.6522E−13RRT2; 3200 N !
PARAMETER G(FCC_A1,CU:VA;0) 298.15 − 7770.458 + 2.77E − 5RR + 130.485235T − 3.2047E − 9RRT − 24.112392TLN(T) − 2.65684E − 3T2 + 0.129223E − 6T3 + 52478T(−1); 1357.77 Y − 13542.02 + 2.77E − 5RR + 183.803828T − 3.2047E − 9RRT −31.38TLN(T) + 364.167E + 27T(−9); 3200 N !
Alloys PARAMETER G(LIQUID,AG,CU;0) 298.15 17384.37 − 10.89e − 6RR − 4.46438T + 4.25e − 9RRT; 6000 N ! PARAMETER G(LIQUID,AG,CU;1) 298.15 1660.74 − 13.65e − 6RR − 2.31516T + 7.35e − 9RRT; 6000 N ! PARAMETER G(LIQUID,AG,CU;2) 298.15 − 6.67e − 6RR + 2.70e − 9RRT; 6000 N ! PARAMETER G(FCC_A1,AG,CU:VA;0) 298.15 36772.58 − 11.02847T; 6000 N ! PARAMETER G(FCC_A1,AG,CU:VA;1) 298.15 − 4612.43 + 0.28869T; 6000 N !
Conflict of Interests
The authors declare that there is no conflict of interests regarding the publication of this paper.
Financial support of the Ministry of Education of the Czech Republic under Project LD 11046 (within COST MP0903 Action, “nanoalloys”), RVO:68081723, CEITEC-MU CZ.1.05/1.1.00/02.0068, and GA CR 108/14-12653S “stability and phase equilibria of bimetallic nanoparticles” are gratefully acknowledged. Authors thank Dr. T. Klumpler (Single Crystal X-ray Diffraction Core Facility CEITEC) for the SAXS measurements.
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