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Article

Synthesis and Characterization of Sintered and Double-Sintered Invar Alloy from Mechanically Alloyed Powders

by
Călin-Virgiliu Prica
1,2,*,
Argentina Niculina Sechel
1,2,
Traian Florin Marinca
1,2 and
Florin Popa
1,2
1
Material Science and Engineering Department, Technical University of Cluj-Napoca, 103-106, Muncii Ave., 400641 Cluj-Napoca, Romania
2
EUT+ Institute of Nanomaterials and Nanotechnologies-EUTINN, European University of Technology, European Union, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Crystals 2026, 16(5), 330; https://doi.org/10.3390/cryst16050330
Submission received: 9 April 2026 / Revised: 6 May 2026 / Accepted: 11 May 2026 / Published: 14 May 2026
(This article belongs to the Special Issue Nanocrystalline Materials Processing and Characterization)

Abstract

The alloy with a chemical composition of 64 at. % Fe and 36 at. % Ni is known as Invar36 and is characterized by a coefficient of thermal expansion (CTE) less than 2 × 10−6 °C−1 below Curie temperature (about 250 °C). The conventional method of obtaining Invar36 alloys consists of melting and casting, followed by a series of heat treatments. In recent years, research has focused on unconventional technologies for Invar36 preparation such as the sintering of Fe and Ni elemental powders. Also, Invar36 in powder form can be synthesized by mechanical alloying (MA). The aim of this paper is the characterization of Invar36 compacts obtained by conventional sintering of mechanically alloyed Fe and Ni elemental powders. MA was performed in a high-energy planetary ball mill (Ar atmosphere). Mechanically alloyed powders were densified by conventional sintering (simple and double). The sintering parameters used are those specific to the sintering of ferrous parts. After simple sintering, the relative density was 74%. Re-pressing and double sintering lead to an increase in the relative density to 78.6%. The microstructure of Invar36 compacts consists of two phases. The coefficient of thermal expansion (CTE) was determined for Invar36 compacts obtained by both simple and double sintering at 1120 °C in endogas. The CTE values of Invar36 simple sintered (α = 0.6 × 10−6 °C−1) and double sintered (α = 0.5 × 10−6 °C−1) are very low, up to 195 and 225 °C, respectively. HV0.05 values of the Invar-ss sample are lower than the values of the Invar-ds sample. Thus, the HV0.05 value in areas where the γ phase predominates increases from 203 to 218, while in areas where the α phase is predominant it increases from 257 to 271. The results of this study have potential applicability in obtaining Invar parts by sintering under the specific conditions used for ferrous parts, without requiring any modification of the production flow.

1. Introduction

Invar is the name of the Fe-Ni alloy with chemical compositions of 64% Fe and 36% Ni. Its most important characteristic is the low value of the coefficient of thermal expansion (CTE) and the fact that it does not vary in a wide temperature range (below Curie temperature) [1]. Invar’s CTE at the ambient temperature is less than 2 × 10−6 °C−1, as compared with the coefficient of thermal expansion of most metals, which is at (10–20) × 10−6 °C−1 [2]. Also, due to the high content of Ni, Invar alloy has good corrosion resistance. Invar alloy was developed by Swiss physicist Charles Édouard Guillaume in 1896 [3]. Due to its properties, Invar alloys have many uses, especially in the defense and aerospace industries, navigation systems, high-precision mechanical instruments, electronic industry, or large cryogenic liquid containers [4,5]. Invar alloy represents a real challenge regarding machinability, due to its high plasticity (30–40% elongation) and as a result of its strong work-hardening, with negative effects on machining tools [6]. Another disadvantage that makes the machining of Invar difficult is its low thermal conductivity [7]. A different way to obtain Invar parts without these disadvantages is powder metallurgy technology. The basic principle of this technology is the sintering of a mixture of Fe (64%) and Ni (36%) elemental powders. However, the costs of obtaining Invar in this way are quite high due to the high sintering temperature (1350–1400 °C), the long holding time (60 min or more), and the special sintering atmosphere (hydrogen/argon gas) [8]. In addition to the high costs, following classical sintering, the resulting structure is usually a two-phase one, in accordance with the Fe-Ni equilibrium diagram [9]. The two phases that appear in the structure are: a Ni-based solid solution with a FCC network and a Fe-based solid solution with a BCC network. It is known that the Invar crystalline network is FCC, so the phase with the BCC network is an undesirable one. This will have a negative effect on the CTE value and on the temperature range, in which this value is low [10]. Usually, in order to obtain a single phase in the Invar structure when it is obtained by classical technologies (melting and casting), a series of heat treatments is applied [4,11]. These heat treatments also increase the cost of Invar alloys. To eliminate these inconveniences, unconventional techniques to obtain Invar and Invar matrix composites, far from equilibrium, such as mechanical alloying and spark plasma sintering, have been used [12,13,14]. Mechanical alloying followed by spark plasma sintering has also been successfully applied for the synthesis of metal matrix composites (Invar, superalloy) reinforced with ceramic particles (Al2O3, TiC) with the aim of maintaining the nanocrystalline structure resulting from mechanical alloying [15,16]. However, these techniques are difficult to implement on a large scale in industry. Mechanical alloying is a powder-processing technique for producing materials in a non-equilibrium state. It is well known that mechanical alloying leads to the refinement of the microstructure, resulting in powder particles with very fine crystallites, often down to nanometer levels. By obtaining nanometric crystallites, the resulting large specific surface will facilitate diffusion processes during sintering. Also, the high defect densities induced by MA accelerate diffusion processes. Due to the increased diffusivity in nanocrystalline materials, sintering (and therefore densification) takes place at temperatures much lower than those in coarse-grained materials. This is likely to reduce the grain growth [17]. The aim of this work is to obtain Invar compacts by classical sintering in industrial conditions (sintering temperature, holding time, and sintering atmosphere specific to sintering ferrous parts) from mechanically alloyed Invar powders and study the influence of these conditions on density, structure, coefficient of thermal expansion, and hardness. Also, in order to compensate for the difference between the sintering temperatures of Invar and those of ferrous parts obtained by sintering, as well as to attempt to increase the density of the sintered compacts, in this work we propose to apply double sintering to mechanically alloyed Invar powder (work-hardened), along with an intermediate re-pressing step between the two sintering stages.
The novelty of this research lies in producing sintered Invar parts (an expensive material used in the aerospace industry) under industrial conditions specific to ferrous alloys (i.e., at a lower sintering temperature), thereby reducing costs.

2. Materials and Methods

Two types of samples with Invar composition were obtained by simple and double sintering from mechanically alloyed powders. In the first experiment, Invar powders were synthesized by a mechanical alloying technique from a mixture of 64% Fe and 36% Ni elemental powders. NC100.24 iron powder (minimum of 99.2% Fe purity) and 123-carbonyl nickel (minimum of 99.5% Ni purity) were used. The apparent density of NC100.24 Fe powder (Hoganas supplier) was 2.45 g/cm3 and the density that was obtained after pressing at 500 MPa was 6.79 g/cm3. The 123-carbonyl Ni powder (Vale supplier) used had an apparent density of 2.3 g/cm3 and a Fisher Sub-Sieve Size of less than 4 µm. The mechanical alloying time was 16 h. There was a 30 min break after each hour of mechanical alloying. MA was performed in a high-energy planetary ball mill (Fritch Pulverisette 6, Fritch GmbH, Idar-Oberstein, Germany) using hardened steel vials and balls (the ball to powder mass ratio—BPR—was 10:1 and the vial rotation speed was 350 rpm). The milling process was carried out in an argon atmosphere in order to prevent the oxidation of the sample. Also, the mechanical alloying process was performed without using any type of PCA. From the Invar mechanically alloyed powders, we made cylindrical samples with diameters of 1.2 mm by pressing at 500 MPa in a cylindrical die. A total of 10 g of Invar powder was used for each sample. MoS2 was used to lubricate punches. The green compacts were then sintered in a continuous belt furnace (CREMER Thermoprozessanlagen GmbH, Düren-Konzendorf, Germany) at 1120 °C with 30 min holding time in endogas. The cooling rate was 25 °C/min from sintering temperature to 300 °C. Hereafter, these samples will be referred to as Invar-ss. Part of the sintered samples were re-pressed at 500 MPa and then sintered once more at the same temperature with the same holding time. These samples will be referred to as double-sintered samples (Invar-ds). The schematic representation of the work methodology is illustrated in Figure 1.
In order to investigate the microstructure of the sintered samples and map distribution of elements, an Optika inversed metallographic microscope (Optika Srl, Ponteranica, Italy) and A JEOL-JSM 5600 LV (JEOL, Tokyo, Japan) scanning electron microscope (SEM) coupled with an energy-dispersive X-ray (EDX) spectrometer (Oxford Instruments UltimMax65, High Wycombe, UK) were used. The metallographic samples were prepared by grinding, polishing, and subsequently etched with aqua regia. The Archimedes method (extrapolation technique) was used to measure the sintered samples densities. The measurements were made in distilled water at 25 °C. The identification of the phases present in the structure was carried out by X-ray diffraction, using an Inel Equinox 3000 diffractometer (INEL, Artenay, France) with a Co radiation (λCo Kα = 0.17903 nm) diffractometer. The diffraction patterns were recorded in the angular range of 2θ = 40–100°. Acquisition was performed in one step in the entire 2 theta range, specific for an INEL diffractometer, and the exposure time for each diffraction was 10 min. The detection limit was 2%. The crystallite size was computed using a well-crystallized (annealed and with a crystallite size larger than 10 µm) Ni sample, using the Williamson Hall and Scherrer methods. CTE was computed based on dilatometric measurements that were performed with an Ulbricht–Weiss vertical dilatometer (Christian Ulbricht GmbH & Co. KG, Seiffen, Germany) using a heating rate of 5 °/min. The heating process was carried out in air. The hardness was determined with micro-Vickers hardness tester equipment manufactured by INSIZE (INSIZE Co., Ltd., Suzhou, China). Intender loading was 0.05 kg. The space between indents was 0.5 mm, and the hold time was 10 s. HV0.05 median values were computed as the average of three tests.

3. Results and Discussions

In order to obtain the Invar powder, the mixture of Fe and Ni elemental powders was subjected to mechanical alloying for 16 h. The SEM images of elemental powders mixture and Invar mechanically alloyed powder are shown in Figure 2. Ni (small particles) and Fe (large particles) are indicated on Figure 2a with arrows.
It can be observed that the Invar particles (Figure 2b) are flattened with a multilayer structure, and its shape is irregular. Both large particles (larger than 100 µm) resulting from cold-welding and small particles (smaller than 20 µm) resulting from fragmentation processes characteristic of the mechanical alloying process are identified. The particle sizes distribution of Invar 16 h mechanical alloyed powder is shown in Figure 3. It can be noticed that the Invar powders present a wide (0.3–250 µm) multimodal distribution. Three modes of powder distribution can be observed. A very fine powder with less than 2% and with a particle size less than 1 µm was obtained. The second one, which represents the major particles, ranged from 10 to 100 µm, which represents about 76%, and the third represents about 22%. Itis worth mentioning that the second type of particles that are the major part have two main maxima at 45 and 80 µm. The third one has particle sizes ranging from 100 to 250 µm. The D50 value of Invar mechanically alloyed powder is 60.7 µm. Following the mechanical alloying process, Invar powder exhibits a wide particle size distribution range between 26.8 µm (D10) and 180.6 µm (D90). These results are in agreement with SEM analyses.
Figure 4 shows the X-ray diffraction pattern of Fe-36 at.% Ni unmilled powder mixture and Invar 16 h mechanically alloyed powder. Only Invar characteristic peaks were identified, which shows that after 16 h of milling the mixture of elemental Fe and Ni powders, an Invar alloy powder with a FCC structure (γ-phase) was obtained (JCPDS file 47-1405 [18]). Also, in Figure 4, a detail is presented showing the most intense peaks of Fe (110) and Ni (111) from the initial powder mixture and of Invar after 16 h of milling. The disappearance of the peaks corresponding to Fe and Ni after 16 h of milling is highlighted, as well as the presence of only the Invar (111) characteristic peak. The average crystallite size of Invar milled powder is 14.5 nm and was computed using the Williamson–Hall method [19]. The nanocrystalline structure and the presence of defects typically induced by the mechanical allying process enhance the sintering process. Cylindrical samples were made from Invar powders by uniaxial pressing.
In Table 1, the densities and relative density of Invar compacts are shown, sintered (ss) and double-sintered (ds) at 1120 °C. To measure the densities of the sintered samples, the Archimedes method was used. The samples were weighed first in air and then in liquid; the difference between the two weights was multiplied by the liquid density. The relative density was determined by the ratio between the sample density and the theoretical density of Invar (ρInvar = 8.11 g/cm3 [20]).
The relative densities of the sintered samples obtained from Invar powder are relatively low (74% for Invar-ss and 78.6% for Invar-ds samples). These low values can be attributed to the fact that, because of the mechanical alloying process, the obtained Invar powder was work-hardened. For this reason, compressibility is negatively affected, with consequences on the density values of Invar sintered samples. Invar-ds exhibits a 7.4% higher relative density compared to Invar-ss as a result of re-pressing and the longer (twice as long) sintering time. The longer sintering time promotes densification by enhancing both the growth of sintering necks and their diameter due to diffusion processes [21].
The X-ray diffraction patterns of Invar-ss and Invar-ds are presented in Figure 5. Compared to the diffraction pattern of mechanically alloyed Invar powder, in the case of sintered compacts, both in the diffraction patterns of the Invar-ss and that of Invar-ds samples, characteristic peaks of a Fe-based solid solution with the BCC crystal network are also identified (JCPDS file 37-0474 [22]). The volumetric fraction of the Fe base phase with the BCC structure (α-phase) was determined using the following relation, which applies to the Co radiation used by the diffractometer:
V b c c = 1 1 + 0.75 · I b c c I f c c ,   %
where: Ibcc—integrated intensity of (110) peak and Ifcc—integrated intensity of (111) peak [23]. Accordingly, the volume fraction of the α-phase in the Invar-ss sample is 9% and 2% in the Invar-ds sample.
The α-phase appears in the structure of the Invar-ss sample after sintering because the Invar powder obtained by mechanical alloying is in a metastable state, inhomogeneous at the atomic level, and the sintering temperature will favor the formation of the α-phase in the structure. After mechanical alloying, the Invar powder is not homogenous at the nanoscale level, even for the longest milling time [24]. During the mechanical alloying process, some iron impurification occurs from milling bodies and this impurification, along with the atomic-level inhomogeneity in the mechanically alloyed powder, acts like a crystallization center following sintering. Its quantity decreases after the double-sintering process because the homogenization of the structure occurs, with Ni stabilizing the γ-phase in this case. This is confirmed by the change in the lattice parameter of the γ phase, which increases from 0.353 nm (Invar-ss sample) to 0.356 nm for the Invar-ds sample, which is closer to the lattice parameter of Invar (0.359 nm—JCPDS file no. 47-1405).
The average crystallite size and the lattice strain of the Invar phase from MA powder and sintered samples were determined using the Williamson–Hall formula [19]:
β · c o s θ = k · λ D + 4 · ε · s i n θ
where: β—full width at half maximum (FWHM) of the diffraction peak (in radians extracted by Gaussian fitting), θ —Bragg angle (θ = 2θ/2), k—shape factor (0.9), λ is the X-ray wavelength (1.7903 Ǻ), D—average crystallite size, and ε—lattice strain.
Williamson–Hall plots of Invar 16 h MA, Invar-ss, and Invar-ds samples are shown in Figure 6. In order to compute the crystallite sizes, we used a value of the Y-axis intercept equal to the product of β·cosθ. The lattice stains represent the slope of the line. Thus, the obtained values were used to plot the average grain sizes and lattice strain of Invar mechanically alloyed powders and of Invar sintered and double-sintered samples (Figure 7). For the α-phase, the Scherrer Formula (3) was used to calculate the average crystallite sizes, since only the most intense peak (110) was identified in the X-ray diffraction pattern from Figure 5 [25].
D = k · λ β · c o s θ
where: β —FWHM of the diffraction peak (in radians), θ —Bragg angle (θ = 2θ/2), k—shape factor (0.9), λ is the X-ray wavelength (1.7903 Ǻ), and D—average crystallite size.
To compute the crystallite sizes and lattice strains of Invar mechanically alloyed powder, simple-sintered sample (Invar-ss), and double-sintered sample (Invar-ds), the Y-axis intercept and slope values from Williams–Hall plots (Figure 6) were used and are listed in Table 2.
After sintering, the crystallite size of the Invar-ss sample reached approximately 70 nm for the γ-phase and about 52 nm for the α-phase. The mean crystallite size of the Invar-ds sample is approximately 90 nm for the γ-phase and 65 nm for the α-phase. The crystallite growth observed in the Invar-ss sample (from 14.5 nm to around 70 nm) compared to the crystallite size of Invar mechanically alloyed powder can be explained by the fact that the mechanically alloyed powder was heavily cold-worked, containing numerous defects induced during the milling process. As a result, recrystallization is activated at a lower energy level. The crystallite growth in the Invar-ds sample (by approximately 20 nm compared to Invar-ss sample) is much smaller because, after the first sintering stage, internal stresses and the cold-worked state are eliminated, and keeping in mind that the recrystallization process is one which implies growth by diffusion, a prolonged sintering time increases the crystallite size. In this case, a much higher energy is implied, and crystallite growth is prominent. Thus, the crystallites of the γ-phase grow by approximately 25% after double sintering. The α-phase has small crystallites (52 nm) because they nucleate during the first sintering stage of the mechanically alloyed Invar powder. Following double sintering, crystallite growth occurs via diffusion but is less pronounced since most internal stresses are relieved during the first sintering step. Consequently, the average crystallite size of α-phase in the Invar-ds sample reaches 65 nm. The crystallites growth following double sintering amounts to 28%, a value very close to the growth of the γ-phase crystallites.
The SEM images obtained by secondary electrons (SEIs) and the back-scattering electrons (BSEs) and the EDX spectra of Invar sintered samples are shown in Figure 8. It can be observed that the Invar-ss sample shows larger and more numerous pores (Figure 8a,b) compared to the Invar-ds sample (Figure 8c,d), which is in agreement with the calculated relative density values (compactness). The pores are distributed towards the edge of the Invar particles. Also, α and γ phases are identified in both the Invar-ss and Invar-ds microstructures. The EDX spectra (Figure 8c,f) of both samples show that the Fe content is higher than that corresponding to Invar, probably due to Fe contamination during milling. Also, in the EDX spectra, we can identify Al, Si, Mo, and O. The values of these extra elements are below a range of 0.3–0.5%. The presence of Al and Si can be attributed to the preparation process of the metallographic samples (from sandpaper and alumina used for polishing). Also, oxygen may have come from alumina used in the polishing process. Because the die and punches used to obtain the green compacts were lubricated with MoS2, Mo was also identified in the spectra. The presence of O is attributed to superficial oxides that may have appeared during the sintering process. It can be seen that sintering was carried out under industrial conditions specific to ferrous materials. The atmosphere, sintering temperature, and holding time were chosen so as to reduce any oxides absorbed on the green compacts, and, moreover, to avoid any contamination during sintering.
From the EDX spectra results, it can be seen that the atomic Fe/Ni ratio in the Invar-ss compacts reaches 66/34. At this composition, the Invar alloy is shifted in the two-phase region (Fe-rich) of the Fe–Ni equilibrium phase diagram, which thermodynamically favors the formation of the α phase. This deviation affects the CTE, as it is well known that any deviation from the Fe64Ni36 (at. %) composition significantly changes its value.
The distribution maps of the elements in the Invar-ss sample are illustrated in Figure 9 by overlapping the results on SEM images. Despite the relative homogeneity shown by the Fe (Figure 9b) and Ni (Figure 9c) distribution maps, Fe-rich zones identified as the α-phase can be observed in Figure 9a. Figure 10 shows the SEM and EDX analyses of the Invar-ds sample. Similar to the EDX analysis of the Invar-ss sample, the distribution maps of the Invar-ds sample also show a relatively homogeneous distribution of Fe and Ni (Figure 10b,c), but small Fe-rich areas (clusters) can be observed, indicating the presence of the α-phase.
The α-phase can be observed along the edges of the former Invar particles and around the pores (Figure 10a). This confirms our supposition that the α-phase is formed by pre-existent α clusters, most probably caused by contamination.
Both the sintered samples, Invar-ss and Invar-ds, were heated up to 300 °C to determine the coefficient of thermal expansion (CTE). Figure 11 shows the ΔL versus temperature evolution.
The expansion curve of the Invar-ss sample exhibits two distinct regions. The inflection point, which represents the intersection of the linear fits of the two distinct regions, is marked with a red arrow.
In the first region, up to 195 °C, a negligible variation of ΔL with increasing in temperature was observed, indicating that the sample slightly expanded. In the temperature range between 195 °C and 300 °C, ΔL increases proportionally with the increasing temperature. The expansion curve corresponding to the Invar-ds sample also exhibits the same two distinct regions. Also, the inflexion point of the linearly fitted zones is marked with a black arrow. Compared to Invar-ss, the range corresponding to the expansion curve in which ΔL is almost invariant with the temperature increase is larger, up to 225 °C, which indicates better dimensional stability of the double-sintered sample. Each of the two regions on the expansion curves corresponds to a distinct coefficient of thermal expansion (CTE). The CTE values were computed with the following:
α = 1 l 0 × L T   [ ° C 1 ]
where l0—initial length of the sample, ΔL—sample extension, and ΔT—temperature range.
In Table 3, the values of the CTE correspond to each zone from the expansion curves of the Invar-ss and Invar-ds samples.
The CTE value of the Invar-ss samples is 0.6 × 10−6 °C−1 up to 195 °C, close to values corresponding to Invar obtained by melting and casting [26,27], spark plasma sintering [28], or sintering of elemental Fe and Ni powders at a temperature of 1350 °C [8]. In the temperature range of 195–300 °C, the CTE increases over 20 times reaching 11.5 × 10−6, °C−1, a value characteristic of ordinary steels [29]. Additionally, the increase in the coefficient of thermal expansion is strongly influenced by the presence of the alpha phase in the structure (the Fe-rich solid solution with a bcc lattice), which has a CTE of around 12 × 10−6, °C−1 [30].
A low CTE value (0.5 × 10−6, °C−1), characteristic of Invar, was also identified for the Invar-ds sample. The primary distinction from the Invar-ss sample lies in the considerably broader temperature range (25–225 °C) over which this low CTE value is sustained. This behavior is attributed to the significantly reduced fraction of the α-phase present within the microstructure. Between 225 and 300 °C, the CTE values are close and show a similar trend to those of the Invar-ss sample.
The microhardness of the Invar-ss and Invar-ds samples was investigated by Vickers method. In order to determine the microhardness values, two areas were selected in each sample: one where the γ-phase formed the majority, and the other at the edge of the former Invar particles (where the α-phase predominates). Table 4 shows the HV0.05 values of both samples: Invar-ss and Invar-ds.
It can be observed that the HV0.05 values of the Invar-ss sample are lower than the values of the Invar-ds sample in both analyzed areas. Also, at the edge of the former Invar particles (α-phase), the HV0.05 values are higher than in the center of the particle (γ-phase). The higher values of the Invar-ds sample can be explained by its higher compactness. Also, the higher hardness of the area where the α-phase predominates can be attributed to its BCC crystal lattice.

4. Conclusions

Invar alloy was obtained by the simple and double sintering of Fe-36 at.% Ni mechanically alloyed powders. In both cases, the α-phase was identified in the Invar structure. The α-phase was higher in the Invar sintered samples compared to the Invar double-sintered sample (4.5 times) due to the metastable state of the mechanically alloyed powder, which, upon sintering, passed into the equilibrium state (according to the Fe-Ni equilibrium diagram) characterized by a two-phase structure (α and γ phases). The Invar mechanically alloyed powder, due to its nanometric-order crystallite range and high defect densities, contributes to accelerating diffusion processes, thus lowering the sintering temperature and duration. Also, the crystallite size increased for both samples (Invar sintered and double-sintered) due to diffusion processes compared to the Invar mechanically alloyed powder. Thus, the average crystallite sizes of γ-phases increased from 14.5 nm (Invar 16 h MA powder) to 72 nm in the Invar simple-sintered compact and reached 90 nm in the Invar double-sintered sample. Also, the average particle sizes of the α-phase are 52 nm in the Invar sintered sample and 65 nm in the Invar double-sintered sample. The CTE values of the Invar sintered samples are 0.6 × 10−6 °C−1 up to 195 °C and 0.5 × 10−6 °C−1 up to 225 °C for the Invar double-sintered sample. The temperature range in which the CTE remains low is wider for the Invar-ds sample due to the lower amount of α-phase in the microstructure (2%), compared to the Invar-ss sample (9%). The higher microhardness values (HV0.05) in the case of the Invar double-sintered sample can be attributed to its higher relative density (78.6%) compared to that of the Invar sintered sample (74%).
In order to improve the densities of Invar sintered compacts, in future research, we intend to apply stress-relief heat treatment to the mechanically alloyed powder, with the aim of eliminating work-hardening. Thus, the result of this heat treatment will improve the compressibility of these types of powders and, consequently, their density, with positive effects on the mechanical properties.

Author Contributions

Conceptualization, C.-V.P. and A.N.S.; methodology, C.-V.P. and T.F.M.; software, F.P.; validation, C.-V.P., A.N.S., T.F.M. and F.P.; formal analysis, C.-V.P., F.P. and T.F.M.; investigation, A.N.S., F.P. and T.F.M.; resources, C.-V.P.; data curation, F.P. and A.N.S.; writing—original draft preparation, C.-V.P.; writing—review and editing, C.-V.P., A.N.S., T.F.M. and F.P.; visualization, C.-V.P.; supervision, A.N.S., F.P. and T.F.M.; project administration, C.-V.P.; funding acquisition, C.-V.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by Technical University of Cluj-Napoca grant number 38/01.07.2024.

Data Availability Statement

The original contributions presented in this study are included in the article. Further inquiries can be directed to the corresponding author.

Acknowledgments

This research was supported by the “Invar/Si3N4-type composite materials with a low coefficient of thermal expansion, obtained by spark plasma sintering from mechanically alloyed powders grant funded by the National Grant Competition—GNaC ARUT 2023”.

Conflicts of Interest

The authors declare no conflicts of interest.

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Figure 1. The schematic representation of the work methodology.
Figure 1. The schematic representation of the work methodology.
Crystals 16 00330 g001
Figure 2. SEM images of elemental powder mixture (a) and Invar 16 h mechanically alloyed powder (b).
Figure 2. SEM images of elemental powder mixture (a) and Invar 16 h mechanically alloyed powder (b).
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Figure 3. Particle sizes distribution of Invar 16 h MA powder.
Figure 3. Particle sizes distribution of Invar 16 h MA powder.
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Figure 4. X-ray diffraction pattern of Fe-36 at.% Ni unmilled powder mixture (black color) and Invar 16 h MA powder (red color).
Figure 4. X-ray diffraction pattern of Fe-36 at.% Ni unmilled powder mixture (black color) and Invar 16 h MA powder (red color).
Crystals 16 00330 g004
Figure 5. X-ray diffraction pattern of Invar-ss (black color) and Invar -ds samples (red color).
Figure 5. X-ray diffraction pattern of Invar-ss (black color) and Invar -ds samples (red color).
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Figure 6. Williamson–Hall plots of Invar 16 h MA (black line), Invar-ss (red line), and Invar-ds (blue line) samples.
Figure 6. Williamson–Hall plots of Invar 16 h MA (black line), Invar-ss (red line), and Invar-ds (blue line) samples.
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Figure 7. Average crystallite sizes (red line) and microstrains (blue line) of γ-phase and α-phase of Invar 16 h MA, Invar-ss, and Invar-ds samples.
Figure 7. Average crystallite sizes (red line) and microstrains (blue line) of γ-phase and α-phase of Invar 16 h MA, Invar-ss, and Invar-ds samples.
Crystals 16 00330 g007
Figure 8. SEM images (SEI and BSE) and EDX spectra of sintered samples. Invar-ss (ac) and Invar-ds (df).
Figure 8. SEM images (SEI and BSE) and EDX spectra of sintered samples. Invar-ss (ac) and Invar-ds (df).
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Figure 9. The EDX distribution maps of the elements in the Invar-ss sample overlapping the SEM image (a), Fe map distribution (b), and Ni map distribution (c).
Figure 9. The EDX distribution maps of the elements in the Invar-ss sample overlapping the SEM image (a), Fe map distribution (b), and Ni map distribution (c).
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Figure 10. The EDX distribution maps of the elements in the Invar-ds sample overlapping the SEM image (a), Fe map distribution (b), and Ni map distribution (c).
Figure 10. The EDX distribution maps of the elements in the Invar-ds sample overlapping the SEM image (a), Fe map distribution (b), and Ni map distribution (c).
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Figure 11. ΔL versus temperature plots of Invar-ss (red curve) and Invar-ds (black curve) samples.
Figure 11. ΔL versus temperature plots of Invar-ss (red curve) and Invar-ds (black curve) samples.
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Table 1. Density and compactness of Invar sintered samples.
Table 1. Density and compactness of Invar sintered samples.
SampleDensity, g/cm3Relative Density, %
Invar-ss5.96 ± 0.0174.0
Invar-ds6.33 ± 0.0278.6
Table 2. Y-axis intercept and slope values.
Table 2. Y-axis intercept and slope values.
SampleY-Axis InterceptSlope
Invar MA0.0090.0420
Invar-ss0.0030.0070
Invar-ds0.0020.0027
Table 3. CTE values of sintered samples.
Table 3. CTE values of sintered samples.
SampleTemperature Range, °Cα, ×10−6 °C−1
Invar-ss25 ÷ 195
195 ÷ 300
0.6
11.5
Invar-ds25 ÷ 225
225 ÷ 300
0.5
12.3
Table 4. HV0.05 values of Invar-ss and Invar-ds samples.
Table 4. HV0.05 values of Invar-ss and Invar-ds samples.
SampleHV0.05 (α-Phase)HV0.05 (γ-Phase)
Measured ValuesAverage ValueMeasured ValuesAverage Value
Crystals 16 00330 i001257
254
261
257 ± 3194
219
197
203 ± 7
Crystals 16 00330 i002269
273
270
271 ± 3210
223
221
218 ± 5
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MDPI and ACS Style

Prica, C.-V.; Sechel, A.N.; Marinca, T.F.; Popa, F. Synthesis and Characterization of Sintered and Double-Sintered Invar Alloy from Mechanically Alloyed Powders. Crystals 2026, 16, 330. https://doi.org/10.3390/cryst16050330

AMA Style

Prica C-V, Sechel AN, Marinca TF, Popa F. Synthesis and Characterization of Sintered and Double-Sintered Invar Alloy from Mechanically Alloyed Powders. Crystals. 2026; 16(5):330. https://doi.org/10.3390/cryst16050330

Chicago/Turabian Style

Prica, Călin-Virgiliu, Argentina Niculina Sechel, Traian Florin Marinca, and Florin Popa. 2026. "Synthesis and Characterization of Sintered and Double-Sintered Invar Alloy from Mechanically Alloyed Powders" Crystals 16, no. 5: 330. https://doi.org/10.3390/cryst16050330

APA Style

Prica, C.-V., Sechel, A. N., Marinca, T. F., & Popa, F. (2026). Synthesis and Characterization of Sintered and Double-Sintered Invar Alloy from Mechanically Alloyed Powders. Crystals, 16(5), 330. https://doi.org/10.3390/cryst16050330

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