Variable temperature in situ TEM mapping of the thermodynamically stable element distribution in bimetallic Pt–Rh nanoparticles

We report here the first variable temperature in situ transmission electron microscopy (TEM) study on smaller Pt–Rh nanoparticles (≤24 nm) under vacuum conditions. Well-defined 50 at% Pt/50 at% Rh Pt–Rh solid solution and Rh(core)–Pt(shell) nanoparticles, obtained via colloidal synthesis routes, were investigated between room temperature and 650 °C to elucidate the tendency of elemental mixing/segregation. Key findings are that Pt–Rh nanoparticles <13 nm are stable in a solid solution configuration over the entire studied temperature range, whereas nanoparticles >13 nm tend to segregate upon cooling. Such a cross-over in element distribution with nanoparticle size has not been reported for the Pt–Rh system previously. The results demonstrate the technique's ability to extract valuable information concerning the intricate dynamic processes that take place in the bimetallic Pt–Rh system at the nanoscale, which may be indispensable when optimizing, e.g., the metal composition in catalytically active materials.


Introduction
In the industrial scale production of synthetic nitrogen-based fertilizers, bimetallic Pt-Rh alloys in the form of wires, knitted or woven into gauzes, are widely used as catalysts for the ammonia (NH 3 ) oxidation step. 1 This makes bimetallic Pt-Rh nanoparticles candidate catalysts for efficient abatement of NH 3 slip from the maritime sector by selective oxidation to nitrogen (N 2 ).Such catalysis is already utilized in a two-step process for emission abatement in diesel engines, and with the rst engines suited for NH 3 combustion to be expected in 2025 (ref. 2  and 3) the establishment of even more robust NH 3 abatement catalysts is becoming a pressing need.Notably, product selectivity toward N 2 , NO, and N 2 O depends on the Pt-Rh alloying in the surface atomic layers of the catalyst, reaction temperature, gas composition, and pressure. 4Thus, full control of the Pt-Rh alloying as well as knowledge of how the element distribution is dictated by process temperature and gas atmosphere are prerequisites for the design of optimized nanostructured Pt-Rh nanoparticles for selective NH 3 oxidation.
In recent years, the collective competence in the eld of colloidal nanoparticle synthesis has developed to yield well-dened bi-or multielement monodisperse nanoparticles with controlled faceting and element distribution. 5,6The assynthesized nanoparticles can be trapped in certain metastable element distribution congurations, hindered by kinetic limitations to reach the thermodynamically preferred state. 7onsequently, the nanoparticles may reconstruct and even undergo chemical reactions (e.g., oxidation) when exposed to the intended operational temperature-pressure conditions. 8undamental insight into the chemical state and elemental nano-structuring is therefore indispensable in understanding the catalytic reaction mechanisms and optimizing catalysts for applications.An excellent aid to unravel the elemental conguration and chemical state of such particles is in situ or operando TEM.
Based on theoretical modelling, Raub et al. 9 predicted an immiscibility gap below 760 °C in the binary bulk Pt-Rh phase diagram.More recent reports [10][11][12] (and references therein) conclude that instead of a miscibility gap, ordered low temperature (<−23 °C) structures occur. 10Notably, corresponding binary phase diagrams are not readily available for the nanoscale due to the complexity of the thermodynamic driving forces in play, e.g., relative surface energies of the elemental constituents in question, presence of interfaces, nanoparticle size effects, faceting, and stabilizing ligands.Different surface energies of the two metals in a bimetallic nanoparticle can cause the metal with the lowest surface energy to migrate to the surface. 13Likewise, strain effects due to mismatch in atomic size may lead to segregation of the metal with the smallest atomic size to occupy parts of the nanoparticle under compressive strain. 13Furthermore, these effects can compete, as exemplied in the Ni-Rh system where Rh has a 20% higher surface energy than Ni but also an 8% larger atomic radius. 14The effect of strain energy on surface segregation is temperature dependent.For the bimetallic Ni-Rh, Au-Pt, Au-Pd, Cu-Pt and Ag-Pd systems the effect weakens with increasing temperature, see the ref. 14 and references therein.The particle faceting is also strongly correlated to the strain and affects the surface-to-volume ratio. 13Faceting is thus an important parameter.The various driving forces scale differently with particle size, implying the nanoparticle size itself is a parameter that affects the thermodynamic equilibrium.A Monte Carlo simulation based study of the size-dependence of low-temperature order-disorder transitions in the Pt-Rh system (7.8 nm, 4.3 nm, and 3.1 nm) has been reported by Pohl et al. 15 Compared to the bulk, the disorder-order transition temperature was found to decrease as the nanoparticle size decreased. 15he literature also addresses several examples of nanoparticle or grain-size-dependent thermodynamic shis for some bimetallic systems.For example, for the binary Ag-Sn system, a solid solution is stabilized for grains smaller than a critical size of 8 nm, 16 whereas for Ag-Ni and Ag-Bi the corresponding critical nanoparticle/grain sizes for stabilizing a solid solution are reported to be 7 and 6 nm, respectively. 17,18Notably, for the binary Ag-Ni and Ag-Bi systems, computational simulations support the experimental ndings.
A thorough literature review has not yielded any publication focused on the understanding of alloying properties of Pt-Rh nanoparticles in vacuum at variable temperatures by means of transmission electron microscopy (TEM).Inspired by the need to evaluate the suitability of bimetallic Pt-Rh nanoparticles as selective catalysts for NH 3 slip abatement, we report here the rst variable temperature in situ TEM study on the Pt-Rh nanoparticle system at vacuum conditions.Firstly, well-dened ∼50-50 at% Pt-Rh solid solution and Rh(core)-Pt(shell) nanoparticles were synthesized by means of colloidal routes using PVP as surface stabilizing agent.The in situ TEM experiments were carried out between room temperature and 650 °C to elucidate the tendency of elemental mixing/segregation of well-dened Pt-Rh solid solution and Rh(core)-Pt(shell) nanoparticles with respect to nanoparticle size and temperature.The scope of this work is limited to the investigation of nanoparticles (#24 nm) unaffected by agglomeration and sintering effects.

Synthesis of Pt-Rh nanoparticles
In the current work, we followed the sample preparation procedures as rst published in ref. 6.They are summarized here.

Rh(core)-Pt(shell) nanoparticle synthesis
The Rh(core)-Pt(shell) nanoparticles were synthesized via a twostep sequential reduction reaction to grow a Pt-shell on Rh seeds.The Rh seeds were produced by rst mixing 0.50 mmol (monomer unit) of PVP in 20 mL 1,4-butanediol, followed by removal of water through heating at 150 °C for 15 min under Ar-ow.Aer cooling to 100 °C, 0.050 mmol Rh(acac) 3 was added and dissolved.A condenser was connected before the temperature was increased to 220 °C by switching to a higher temperature pre-heated heating block.The system was kept inert under Ar-ow during the reaction.Aer 120 min reaction time the system was allowed to cool to room temperature.
To grow the Pt-shell onto the pre-formed Rh seeds, 0.10 mmol of Pt(acac) 2 and 0.50 mmol (monomer unit) of PVP were transferred to the reaction mixture containing the preformed Rh-seeds before the temperature was increased to 100 °C again under Ar-ow.The solution was stirred for 10 min to dissolve the Pt-precursor and PVP before heating to 190 °C for 18 h, followed by cooling to room temperature.

Pt-Rh solid solution nanoparticle synthesis
Single-phase solid-solution Pt-Rh nanoparticles were synthesized via co-reduction of the metal precursors.Firstly, a solution containing 2.0 mmol (monomer unit) of PVP in 20 mL EG was dried by heating at 150 °C for 15 min under Ar-ow.The solution was cooled to 100 °C before the addition of the metal precursors; 0.10 mmol Rh(acac) 3 and 0.30 mmol Pt(acac) 2 , which is expected to give particles with 50-50 at% Pt-Rh. 6A condenser was connected before the temperature was increased to 195 °C by switching to a higher temperature pre-heated heating block.The system was kept inert (Ar) and quenched to room temperature aer 15 min of reaction time.
All nanoparticle samples were isolated by the nanoparticle washing procedure described in ref. 6 and re-dispersed in methanol in preparation for electron microscopy experiments.

In situ TEM characterization
Scanning Transmission Electron Microscopy (STEM) images using a High-Angle Annular Dark Field (HAADF) detector, and Energy Dispersive X-ray Spectroscopy (EDS) maps, were acquired on a FEI Titan G2 60-300 kV equipped with a CEOS DCOR probe-corrector and Super-X-EDS detectors.The Field Emission Gun (FEG) electron source was operated at an acceleration voltage of 300 kV.For the in situ electron microscopy characterization, a Protochips Fusion Select® system was used with a silicon nitride type Heating E-chip with nine windows.The temperature accuracy and uniformity of the system were >95% and 99.5%, respectively. 19The heating/cooling (quenching) rates were >140 °C s −1 .All EDS analyses were performed using the Velox® soware package (Version 3).
According to the literature, the electron beam can cause redistribution of elements within a nanoparticle sample, and the effect is exponentially correlated to temperature. 20o avoid effects from the electron beam on the element distribution dynamics during the in situ TEM experiments, we

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Nanoscale Advances therefore took several precautions.As electron beam effects occur as a result of electron dose, 20 we used a low electron beam current (screen current of 50 pA), made sure that none of the windows in the E-chip were exposed to the beam before the experiment started, and we kept track of which particles were exposed to the beam during the propagation of the experiment.
In addition, HAADF-STEM images and corresponding EDS maps were only acquired on particles previously unexposed to the beam.Prior to data analysis, the sequence of frames obtained during the EDS-scan was scrutinized to determine when beam effects started to be detected.Consequently, only the rst few frames in each of the EDS elemental map data sets, without detectable beam effects, were used -excluding beam effects from the data analysis.This implies that the sole external input to affect the observed dynamics in the elemental distribution within the individual nanoparticles is the temperature set for the experiment.

Thermal stability of Pt-Rh nanoparticles
The scope of the current study is to explore the dynamics in element distribution of bimetallic Pt-Rh nanoparticles (#24  Nanoscale Advances Paper nm), unaffected by agglomeration and sintering effects, at variable temperature in vacuum.Both core-shell and solid solution Pt-Rh nanoparticles were utilized, and the average composition of the core-shell batch 1, core-shell batch 2, and the solid solution nanoparticles was approximately 50 at% Pt and Rh (see ESI sections 1-3 † for details).Three different experiments were carried out in the temperature range from 25 to 650 °C.However, to prevent distortion of data and conclusions due to electron beam effects, high-resolution HAADF-STEM imaging and EDS mapping were limited to a maximum temperature of 600 °C.
1. Combined in situ TEM and TEM characterization of Rh(core)-Pt(shell) nanoparticles heated to 650 °C.In this experiment, Rh(core)-Pt(shell) nanoparticles (batch 1) were instantly heated from room temperature to 650 °C and annealed for 14 h before quenching, see the temperature program and the four zones of data acquisition in Fig. 1.
Fig. 2a-d show representative HAADF-STEM images and corresponding EDS elemental maps of the Rh(core)-Pt(shell) nanoparticles prior to heating, zone 1 in Fig. 1 (see also ESI, section 1 †).The sample is well-dened in terms of element distribution, and from the high-resolution HAADF image (Fig. 2c), a sharp separation between the two constituents, the Pt-rich shell and the Rh-rich core, is clear.This is in line with our previous ndings. 6nitially, we attempted to carry out high-magnication in situ HAADF-STEM imaging and EDS mapping at 650 °C (zone 2, Fig. 1), but electron beam induced damage occurred too fast at this temperature (see Experimental section for explanation).Therefore, we report high magnication HAADF-STEM images and EDS elemental maps collected on nanoparticles unexposed to the electron beam aer quenching from 650 °C (zone 4, Fig. 1); see Fig. 2e-h.From an analysis of 34 nanoparticles (average size D avg = 9.0 ± 2.5 nm, zone 4), 29 particles formed a Pt-Rh solid solution, four were partly segregated, and one was fully segregated.Interestingly, the solid solution particles were signicantly smaller with average size D avg = 8.4 ± 1.7 nm (size range 6-13 nm) than the fully segregated one at 16 nm.The partially mixed particles had D avg = 11.3 ± 4.0 nm, in the size range 7-17 nm.We take this as an indication that the preferred element distribution at 650 °C for smaller nanoparticles is solid solution.
In an endeavor to overcome the electron beam damage at 650 °C (zone 2, Fig. 1) and to collect in situ images, we continued the experiment by working at lower magnication and limiting the characterization to HAADF-STEM imaging only, to signicantly lower the electron dose (zone 3, Fig. 1).The TEM results collected in zone 3 are reported in Fig. 3. From the results, qualitatively we see that aer 1 h 19 min at 650 °C (Fig. 3a-c), the nanoparticle size distribution had drastically changed.
The contrast in the HAADF-STEM images, however, implies that Pt and Rh are mixed in a solid solution conguration for all particle sizes.This observation is in line with a redistribution of Pt and Rh into a solid solution conguration, accompanied by particle growth.Notably, aer 13 h 9 min at 650 °C the situation has dramatically changed.We observe clear segregation by Zcontrast in some of the larger particles in the HAADF-STEM images in Fig. 3d-f.No such contrast is evident aer 1 h 19 min.Correlating nanoparticle size to element distribution, apparently only nanoparticles above approximately 13 nm are

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Nanoscale Advances fully segregated, see Fig. 4.This indicates there is a nanoparticle size induced reversal in elemental distribution in the Pt-Rh system, with a critical size of approximately 13 nm: i.e., below ∼13 nm the nanoparticles are stabilized as a solid solution.To explain all ndings in the TEM images reported in Fig. 3a-f, one must take into consideration that in parallel with the elemental reconguration process, agglomeration and particle growth by sintering also take place.We thus should expect to nd some of the larger particles to still be in a mixed solid solution conguration, and some that are segregated; see Discussion section for a justication.

2.
In situ TEM characterization of Pt-Rh solid solution nanoparticles heated to 600 °C.To elaborate on the hypothesis that Pt-Rh nanoparticles ( 13 nm are stable in a solid solution conguration over the full temperature range (25-650 °C), well-dened solid solution Pt-Rh nanoparticles were heated to 600 °C and cooled down stepwise to room temperature following the temperature program sketched in Fig. 5.With focus on analysis of smaller, not agglomerated and sintered nanoparticles, and selecting a maximum temperature of 600 °C to avoid electron beam damage, EDS elemental mapping in addition to acquiring HAADF-STEM images at the various temperature steps were feasible.
Fig. 6a and b show a representative selection of the assynthesized nanoparticles.Both HAADF-STEM and EDS maps show the particles to be single-phase solid solution, in line with previous ndings. 6Representative nanoparticles were analyzed in the same way at 600 °C, 300 °C, and aer cooling to room temperature (more details are given in ESI, section 2 †).The results show that the element distribution does not change with temperature variations, indicating the nanoparticles are stable in a solid solution conguration over the entire temperature range.
The nanoparticles analyzed at 600 °C, 300 °C and at room temperature aer cooling had D avg = 8.3 ± 1.9 nm, D avg = 9.0 ± 1.2 nm and D avg = 9.3 ± 2.4 nm, with size ranges 6-12 nm, 8-11 nm and 5-15 nm, respectively.Thus, all the particles were either smaller than or close to the critical segregation size of ∼13 nm.The average size of all nanoparticles analyzed in this temperature range was D avg = 8.9 ± 2.0 nm.
3. In situ TEM characterization of larger Rh(core)-Pt(shell) nanoparticles heated to 600 °C.In view of the segregation occurring in some of the larger (T13 nm) core-shell nanoparticles aer heating to 650 °C (Fig. 4), we investigated if larger (D avg = 15.0 ± 3.0 nm, range 9-24 nm) Rh(core)-Pt(shell) nanoparticles would segregate when exposed to the same heating program as employed for the as-synthesized solid solution nanoparticles described in Section 2.
We therefore carried out an extra in situ TEM experiment where the slightly larger size fraction (batch 2) relative to batch 1 of Rh(core)-Pt(shell) nanoparticles was investigated by HAADF-STEM imaging and complementary EDS mapping following the heating program sketched in Fig. 7.
For the record, HAADF-STEM images and corresponding EDS elemental maps of the Rh(core)-Pt(shell) nanoparticles (batch 2) were shown to be well dened before heating (Fig. 8ad  Since the two fully mixed nanoparticles were imaged just aer returning to ambient temperature, we revisited the sample aer keeping it at room temperature in vacuum for 11 days; see Fig. 8q and r and ESI section 3.5.† All nanoparticles with D avg = 14.9 ± 2.9 nm (range 11-22 nm) were now found to be segregated.The average size of all segregated nanoparticles in total aer cooldown was D avg = 14.7 ± 2.9 nm.It should be noted that the particles with diameter ( 13 nm were all residing in very close vicinity to other particles and had sintered together.This means it is unclear if they should be interpreted as a single entity with respect to element distribution, as mass transport is likely to occur throughout the particle assembly.Although the segregated particles at room temperature are similar to the as-synthesized sample, they differ in one aspect: The Rh-rich phase does not reside in the center of the particles, but is decentralized, which is evidence that the particles have undergone change with respect to the assynthesized element spatial distribution, which is also observed in the Au-Ni system. 21The experimental results obtained can be subject to multiple interpretations, and a comprehensive discussion of these different perspectives is presented in the Discussion section.

Discussion
This work describes the evolution in elemental restructuring in well-dened as-synthesized Pt-Rh solid solution and Rh(core)-Pt(shell) PVP surface-stabilized nanoparticles upon heating using in situ TEM from room temperature to 650 °C in vacuum.
The net composition of the particles is approximately 50 at% Pt and 50 at% Rh.Special care is taken to prevent electron beam effects, leading to three key ndings (see also Fig. 9): (i) As-synthesized Rh(core)-Pt(shell) (D avg = 9.0 ± 2.5 nm), and Pt-Rh solid solution (D avg = 8.9 ± 2.0 nm) nanoparticles exposed to 650 and 600-25 °C (Fig. 2 and 6), respectively, demonstrate the smaller nanoparticles ((13 nm) to be stable in the form of a solid solution over the entire temperature interval (25-650 °C).
(ii) For the slightly larger as-synthesized Rh(core)-Pt(shell) nanoparticles, upon heating to 600 °C, the element distribution is either transformed to a situation with complete (D avg = 15.1 ± 3.0 nm) or partial (D avg = 15.0 ± 2.6 nm) mixing of Pt and Rh into a solid solution.Upon cooling to room temperature, the solid solution/partially mixed Pt-Rh nanoparticles segregate (D avg = 14.7 ± 2.9 nm) to yield the Rh(core)-Pt(shell) conguration (Fig. 8).
(iii) Pt-Rh solid solution nanoparticles grown by sintering to a diameter T 13 nm segregate when given sufficient time (13 h 9 min) at 650 °C to reach equilibrium (Fig. 3 and 4).
The observation of (i) complete miscibility of the smallest size fraction of Pt-Rh nanoparticles in the entire studied temperature interval, (ii) the evidence of complete or partial element mixing at 600 °C and Pt-Rh segregation in the slightly larger nanoparticles upon cooling to room temperature, and (iii) full segregation taking place in some of the largest particles (T13 nm) exposed to 650 °C for a long dwell time, allows us to conclude that this specic Pt-Rh system provides a nanoparticle size-induced miscibility gap or a cross-over in the energetics of the phase diagram to favor phase separation at lower temperatures for larger nanoparticle sizes.The critical diameter is around 13 nm, however, as will be discussed, this diameter is not expected to be very well dened.Due to the method of determining the size of the nanoparticles by measuring their diameter across their largest cross-section, which assumes an ideal spherical shape, the critical diameter is expected to be imprecise.Furthermore, we do not consider any other characteristics, such as faceting, in the current

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Nanoscale Advances argumentation on the nanoparticle stability.The uncertainty in the critical size for segregation is evident from our observations that the as-synthesized slightly larger Rh(core)-Pt(shell) nanoparticles were seen to transform to fully mixed (10-18 nm) and partly segregated (12-19 nm) congurations at 600 °C, despite the size ranges somewhat exceeding the lower size limit (∼13 nm) for full segregation observed in the experiment at 650 °C.However, we also observed partly segregated particles in the size range 7-17 nm aer a long dwell time at 650 °C.These ndings do not overshadow the fact that practically all particles T13 nm segregated when cooled to room temperature from 600 °C, clearly suggesting the presence of an immiscibility dome which is shied to higher temperature for this slightly larger nanoparticle size fraction, compared to the smaller ones ((13 nm) (see Fig. 9a).
One can question if the observed difference in behavior between the smaller and larger Pt-Rh solid solution nanoparticles upon cooling is caused by insufficient atomic mobility or too short dwell time to equilibrate.We rule out that our conclusion is hampered by nanoparticles being given insufficient time for equilibration, for two reasons.Firstly, a large solid solution particle requires longer atomic transport paths relative to the smaller particles.Secondly, it has been established that diffusivity is enhanced in smaller nanoparticles. 22Hence, as within the same time scale larger solid solution nanoparticles are observed to segregate upon cooling whereas the smaller ones stay in solid solution (Fig. 9a), we conclude we have given the nanoparticles sufficient time to undergo the required elemental reconstruction.To the best of our knowledge, no such nanoparticle size dependent differences have been reported for the Pt-Rh system.Notably, our nding is in line with results from other bimetallic systems.In the Introduction section, we discussed literature reporting a critical lower size for obtaining a stable single phase solid solution conguration in the systems Ag-Sn, 16 Ag-Bi, 18 and Ag-Ni. 17However, detailed studies for evaluating the exact particle sizeelemental distribution correlation at different compositions are suggested as future work.In this context, also the effect of external factors such as ligands (PVP) will be evaluated.
It is worth noting that not all the nanoparticles with diameter T 13 nm were fully segregated aer 13 h 9 min at 650 °C (Fig. 3d-f).This observation contrasts with our conclusion that solid solution nanoparticles with a diameter T 13 nm segregate at this temperature.A plausible explanation for the coexistence of large segregated and solid solution nanoparticles is that when nanoparticles are annealed at elevated temperatures, several dynamic processes occur simultaneously, but at different time scales.
More concretely, in parallel with the thermodynamically driven nanoparticle size dependent elemental mixing/de-mixing processes, coalescence and sintering of the nanoparticles may take place.The change in nanoparticle size due to these processes may in itself induce cross-over in stable element distribution conguration within the particles, as well as the diffusion distances increase and the atomic mobility decreases 22 (Fig. 9).The acquisition of in situ TEM data as a function of time (Fig. 3) enables the decoupling of the various processes.The starting time

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for the sintering of a particular particle ensemble dictates how far elemental reconguration has progressed when the TEM image and EDS map are acquired.Depending on the progress of the sintering process, we may nd some larger assemblies, with atomic mobility sufficiently low and with long diffusion distances, that have not yet reached equilibrium (Fig. 9b).Therefore, a more solid solution situation was observed in these larger ensembles even though the nanoparticle size was larger than the apparent thermodynamical phase segregation critical size of T13 nm.On the other hand, for particles where the sintering process started much earlier, these particles have had time to age and thus equilibrate (phase separation).This explains why some of the large particles in Fig. 3d-f have reached the segregated equilibrium situation while others still have more solid solution elemental distribution.However, the potential role of interface effects or the relative grain size in the particles is not included in this reasoning.Importantly, the as-synthesized solid solution particles are free from interfaces, whereas both smaller and larger Rh(core)-Pt(shell) nanoparticles contain interfaces.As pointed out by Tiwari et al., 23 additional interfaces present in biphasic alloy nanoparticles, as compared to nanoparticles composed of a single-phase alloy, can signicantly affect the phase transformation behavior.This effect is also particle size dependent.

Concluding remarks and perspectives
In this work we have shown experimentally for the rst time that the tendency for elemental mixing-or segregation to occur in Pt-Rh nanoparticles depends on the nanoparticle size and temperature.The nding is based on in situ TEM investigations of well-dened 50 at% Pt/50 at% Rh Pt-Rh solid solution and Rh(core)-Pt(shell) nanoparticles (#24 nm) in vacuum.The nanoparticles were produced via colloidal synthesis routes using PVP as stabilizing agent, and were investigated in the temperature range between room temperature and 650 °C.We identied that smaller nanoparticles ((13 nm) are stable in the As seen in the element distribution versus size effect (a); throughout the entire temperature range, solid solution is favored below a certain size limit (suppression of miscibility dome).As the nanoparticle size is varied from small to larger above the approximate critical size of 13 nm, segregation is favored (left to right).Particles smaller than the critical size may first mix to form a solid solution at 650/600 °C, and then grow into a particle larger than this size by sintering.As shown in (b), large solid solution particles may segregate if given sufficient time (green arrow), or be kinetically trapped in this state for a long time due to diffusion and time limitations (red arrow) before segregation occurs, and thus both segregated and fully mixed particles coexist after long dwell times at 650 °C.

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Nanoscale Advances solid solution conguration over the entire studied temperature range.Larger nanoparticles (T13 nm) tended to segregate when cooled to room temperature.The current study demonstrates in situ TEM to be a powerful technique capable of giving insight into and decouple the many dynamic processes that occur in bimetallic nanoparticle systems in the explored temperature range.The results obtained are of importance to understand the thermodynamics of this specic Pt-Rh nanoparticle system, but also to compare to other metallic nanoparticle systems.One natural next step is to elaborate experimentally by in situ TEM on the extent of a possible miscibility dome with respect to Pt-Rh composition and nanoparticle size, including the role of interfaces and grain structure.In a wider perspective, our ndings will add value towards applications like catalysis, whereof e.g.supported Pt-Rh nanoparticles are attractive candidates for NH 3 slip abatement processes.In this context, in situ/operando experiments using reactive gases as O 2 and NH 3 on element distribution will shed light on the stable element distribution at operative conditions.The nanoparticles used in this study are excellent model materials, even though they are stabilized with ligands.For more direct correlations concerning the thermodynamics of Pt-Rh alloys and for catalytic applications, gentle surfactant removal will be attempted.
Finally, it should be noted that the in situ/operando TEM technique at elevated temperatures requires awareness of system specic intrinsic properties such as metal evaporation at high vacuum or in inert gas atmosphere, 24 the role of reactive gases on the formation of volatile metal containing species, 24 size dependent stabilization of metal particles on various supports (strong metal support interaction) 25 as well as various beam effects. 20lear-cut ndings extracted from the current TEM experiments rely fully on access to well-dened solid solution and core-shell Pt-Rh nanoparticles with equal net composition and nanoparticle size.Obtaining such nanoparticles requires high-level control of the synthesis, which is an art in itself. 6

Fig. 1 Fig. 2
Fig. 1 Temperature program used in the in situ TEM heating experiments of the Rh(core)-Pt(shell) nanoparticles (D avg = 9.0 ± 2.5 nm) heated to 650 °C.The experiment is divided into 4 zones.

Fig. 4
Fig. 4 Element distribution versus nanoparticle size.Nanoparticle size of fully segregated ( ) particles at 650 °C from lower magnification HAADF-STEM images (including the one in Fig. 3d).Only the fully segregated nanoparticles were measured from the lower magnification overview images (see justification in ESI section 1.2 †).Nanoparticle size of solid solution ( ), partly segregated (A), and fully segregated ( ) particles from high magnification, high-resolution HAADF-STEM images and complementary EDS maps at room temperature after quenching from 650 °C (Fig. S5, † ESI section 1.2 †).

Fig. 5
Fig. 5 Temperature program used in the in situ TEM heating experiments of the Pt-Rh solid solution nanoparticles (D avg = 8.9 ± 2.0 nm) heated to 600 °C and stepwise cooled to room temperature (RT).
and ESI, section 3.1 †).The nanoparticles heated to 600 °C Fig. 6 Representative selection of HAADF-STEM images and EDS elemental maps of Pt-Rh solid solution nanoparticles at the respective temperature steps.Nanoscale Advances Paper (Fig. 8e-h) are distinctively different from the images at room temperature in terms of element distribution.Overall, based on the analysis (ESI, section 3.2 †), ve nanoparticles are in a solid solution conguration with D avg = 15.1 ± 3.0 nm (range 10-18 nm), seven are partly segregated with D avg = 15.0 ± 2.6 nm (range 12-19 nm), while two are more segregated (11-13 nm).Notably, the two more clearly segregated nanoparticles are observed at the two earliest time points at 600 °C, thus might not have had time to fully transform.An explanation for the observed larger size range of the solid solution nanoparticles at 600 °C, which exceeds the previously identied size limit from the 650 °C experiment (Section 1), is provided in the Discussion section.Upon cooling to 300 °C, nine of the particles are solid solution with D avg = 15.8 ± 3.3 nm (range 11-21 nm), one particle is partly segregated (17 nm) with ve particles exhibiting more distinct segregation with D avg = 13.7 ± 1.8 nm (range 12-16 nm); Fig. 8i-j and ESI, Section 3.3.† When returning to room temperature, only two of the 19 analyzed particles were in the solid solution conguration (19-24 nm) (Fig. 8k-p; ESI section 3.4 †).The segregated particles with D avg = 14.4 ± 2.9 nm (range 9-21 nm) show resemblance to the assynthesized sample, with Rh-rich volumes encapsulated by a Pt-rich shell.

Fig. 7
Fig. 7 Temperature program used in the in situ TEM heating experiment of the larger (D avg = 15.0 ± 3.0 nm) Rh(core)-Pt(shell) nanoparticles heated to 600 °C and step wise cooled back to room temperature (RT) in a controlled manner.

Fig. 8
Fig. 8 Representative selection of HAADF-STEM images and EDS elemental maps of Rh(core)-Pt(shell) nanoparticles at the respective temperature steps.

Fig. 9
Fig.9Schematic illustration of various dynamic processes occurring in the Pt-Rh nanoparticle samples during the in situ TEM heating experiments in vacuum.As seen in the element distribution versus size effect (a); throughout the entire temperature range, solid solution is favored below a certain size limit (suppression of miscibility dome).As the nanoparticle size is varied from small to larger above the approximate critical size of 13 nm, segregation is favored (left to right).Particles smaller than the critical size may first mix to form a solid solution at 650/600 °C, and then grow into a particle larger than this size by sintering.As shown in (b), large solid solution particles may segregate if given sufficient time (green arrow), or be kinetically trapped in this state for a long time due to diffusion and time limitations (red arrow) before segregation occurs, and thus both segregated and fully mixed particles coexist after long dwell times at 650 °C.