Mechanical properties of Cu₆PS₅І superionic crystals and thin films

The hardness and Young’s modulus dependences on the instrumented indentation depth profiles in Cu₆PS₅І single crystals and Cu₆PS₅І-based thin films were investigated. The measurements of mechanical parameters were performed at room temperature by instrumented indentation in the continuous stiffness...

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Veröffentlicht in:Semiconductor Physics Quantum Electronics & Optoelectronics
Datum:2019
Hauptverfasser: Bilanych, V.V., Bendak, А.V., Skubenych, K.V., Lofaj, F., Studenyak, I.P., Bilanych, V.S., Rizak, V.M.
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Veröffentlicht: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2019
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Zitieren:Mechanical properties of Cu₆PS₅І superionic crystals and thin films / V.V. Bilanych, А.V. Bendak, K.V. Skubenych, F. Lofaj, I.P. Studenyak, V.S. Bilanych, V.M. Rizak // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 1. — С. 47-52. — Бібліогр.: 26 назв. — англ.

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author Bilanych, V.V.
Bendak, А.V.
Skubenych, K.V.
Lofaj, F.
Studenyak, I.P.
Bilanych, V.S.
Rizak, V.M.
author_facet Bilanych, V.V.
Bendak, А.V.
Skubenych, K.V.
Lofaj, F.
Studenyak, I.P.
Bilanych, V.S.
Rizak, V.M.
citation_txt Mechanical properties of Cu₆PS₅І superionic crystals and thin films / V.V. Bilanych, А.V. Bendak, K.V. Skubenych, F. Lofaj, I.P. Studenyak, V.S. Bilanych, V.M. Rizak // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 1. — С. 47-52. — Бібліогр.: 26 назв. — англ.
collection DSpace DC
container_title Semiconductor Physics Quantum Electronics & Optoelectronics
description The hardness and Young’s modulus dependences on the instrumented indentation depth profiles in Cu₆PS₅І single crystals and Cu₆PS₅І-based thin films were investigated. The measurements of mechanical parameters were performed at room temperature by instrumented indentation in the continuous stiffness measurement mode with harmonic modulation of load during its linear increase. The variations of the hardness and Young’s modulus in Cu₆PS₅І single crystals were interpreted in the framework of the deformation gradient model. The decrease of micro-hardness in Cu₆PS₅І-based thin film observed with copper content increase was explained by the formation of conductive clusters and dendrites.
first_indexed 2026-03-23T18:51:19Z
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fulltext ISSN 1560-8034, 1605-6582 (On-line), SPQEO, 2019. V. 22, N 1. P. 47-52. © 2019, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine 47 Semiconductor physics Mechanical properties of Cu6PS5І superionic crystals and thin films V.V. Bilanych 1 , А.V. Bendak 1 , K.V. Skubenych 1 , F. Lofaj 2 , I.P. Studenyak 1 , V.S. Bilanych 1 , V.M. Rizak 1 1 Uzhhorod National University, 46, Pidhirna Str., 88000 Uzhhorod, Ukraine 2 Institute of Materials Research of SAS, 47 Watsonova Str., 04001 Kosice, Slovakia * Corresponding author phone: +380 997973016 E-mail: studenyak@dr.com Abstract. The hardness and Young’s modulus dependences on the instrumented indentation depth profiles in Cu6PS5I single crystals and Cu6PS5I-based thin films were investigated. The measurements of mechanical parameters were performed at the room temperature by instrumented indentation in the continuous stiffness measurement mode with harmonic modulation of load during its linear increase. The variations of the hardness and Young’s modulus in Cu6PS5І single crystals were interpreted in the framework of deformation gradient model. The decrease of micro-hardness in Cu6PS5I-based thin film observed with copper content increase was explained by formation of conductive clusters and dendrites. Keywords: superionic crystals, thin films, hardness, Young’s modulus, nano- and micro- indentation. doi: https://doi.org/10.15407/spqeo22.01.47 PACS 71.70.Gm, 61.43.Fs Manuscript received 01.02.19; revised version received 18.02.19; accepted for publication 20.02.19; published online 30.03.19. 1. Introduction Cu6PS5І compound belongs to the superionic conductors with argyrodite structure [1]. It crystallizes in the cubic crystal system (space group mF 34 ) at room temperature. At low temperatures, the Cu6PS5І crystal undergoes two phase transitions (PTs), one of them being a first-order superionic and ferroelastic PT at TI = 144…169 K, the other is second-order structural PT at ТII = (269±2) K [2, 3]. Gagor et al. [3] noted that at TI < T < TII the Cu6PS5І crystals belong to a cubic system (space group cF 34 ), while at T < TI it belongs to the monoclinic system (space group Cc). Electrical, acoustical and optical properties of Cu6PS5І crystals as well as the influence of structural and compositional disordering onto physical properties of Cu6PS5І-type superionic conductors were studied in numerous works [4-9]. Due to the high electrical conductivity, they are promising materials for wide application as the solid electrolytes, supercapacitors, ion-selective membranes, and others electrochemical devices. Moreover, they are also interesting materials for the fundamental studies of the order-disorder processes as well as of the structural relaxation ones. Information about physical parameters in submicron regions is important for the development of nano- composites and thin layers based on these superionic materials. It is well known that if the volume of solid- state sensing decreases (< 100 nm), the physical parameters will approach to theoretically possible values [10]. Instrumented indentation belongs to few effective techniques that are able to detect mechanical properties in this size range [11]. However, instrumented indentation has not been used for the study of Cu6PS5І single crystals and Cu6PS5І-based thin films up to now. Therefore, the aim of this work was to investigate the hardness and Young’s modulus dependences on the penetration depth in Cu6PS5І single crystals and Cu6PS5І- based thin films as a function of their chemical composition by using nanoindentation. 2. Material and methods The nanoindentation studies include measurements on single crystals and thin films. Single crystals of Cu6PS5І with the size of 5×5×3 mm were obtained using the chemical transport evaporation method. Cu6PS5І-based thin films were deposited onto silicate glass substrates with non-reactive radiofrequency magnetron sputtering. SPQEO, 2019. V. 22, N 1. P. 47-52. Bilanych V.V., Bendak А.V., Skubenych K.V. et al. Mechanical properties of Cu6PS5І superionic crystals … 48 To obtain the thin films with different copper content, a system with the glass substrate moving with respect to pure copper and Cu6PS5І compound targets. Thus, the ratio of chemical elements in the coating continuously changed in dependence on the distance from the corresponding targets. The chemical composition of the thin films was determined using energy dispersive X-ray spectroscopy (EDX). The hardness H and indentation modulus E measurements were performed using G200 (Agilent, USA) nanoindenter at room temperature by using the continuous stiffness measurement (CSM) mode in the load control regime [11]. The load Fm on indenter linearly increased up to 100 mN at a rate of 10 mN/s, and simultaneously the harmonic force F1 with 1 mN amplitude and frequency f = 45 Hz was applied to the indenter. As a result, the time dependence of the resulting load on the indenter can be described by the equation: )sin(1 tFt dt dF F ω⋅+⋅= , (1) where smN10= dt dF , fπ=ω 2 , F1 = 1 mN. Microhardness measurements in Cu6PS5І-based thin films with different copper content were performed using PMT-3 microindenter (with the Vickers indenter) at room temperature. 3. Results and discussion 3.1. Nanoindentation in single crystals Fig. 1 shows the typical load – indentation depth “P–h” curve in Cu6PS5І single crystal. The loading rate was chosen in such a manner that the time of loading to the maximum load was 10 s. The dwell time at the maximum load was 10 s and 100 s. Qualitatively, the “P–h” curves at both dwell times were identical, but the numerical values of E and H for Cu6PS5І crystal were slightly different (see Table). Small decrease in H at longer dwell time indicates larger plastic deformation and simultaneous increase of the indentation depth to more pronounced hardening the crystal structure under the indenter. Fig. 2 shows the indentation modulus E and hardness H depth profiles in Cu6PS5І single crystals. Fig. 1. “P–h” diagram for Cu6PS5І crystal at the load P = 100 mN during 10 s. Each point for E and H in these plots was obtained by averaging the measurements of these parameters at a fixed depth of hi during 20 periods of harmonic load on the indenter [11]. It can be seen that the most significant changes of mechanical properties occurred at the depths below 150 nm. At larger depths, monotonous decrease of Eit and Hit at considerably lower rate was observed. These changes in hardness are usually called indentation size effects (ISE), and they are related to generation and accumulation of geometrically necessary dislocations and activation of slip systems [12]. It is also known [10] that when the contact region decreases to nanometer range, the values of hardness and elastic modulus increase, and the σm/Е ratio approaches theoretical limit of strength of an ideal crystal lattice ( 1.0≈ σ E m ), where σm is the maximum theoretical stress the solid can withstand. At the same time, changes in E(h) and H(h) dependences for h < 150 nm may be the consequence of a finite radius of the indenter tip, which strongly influences contact area at small depths [21]. Fig. 2 shows continuous decrease of Hit and Eit also at larger depths h > 150 nm (just the slope is much lower than at smaller depths). It can be assumed that the basic mechanisms of plastic deformation resulting in formation of the indent remained the same as at smaller depths just the contributions of different mechanisms involved in deformation changed with stress (and indentation depth) Table. Mechanical parameters of Cu6PS5І single crystals and Cu6.4P1.2S4.6I0.8 thin film as a result of nanoindentation. N Material H, GPa 10 s E, GPa 10 s H, GPa 100 s E, GPa 100 s H, GPa h = 250 nm E, GPa h = 250 nm Hmax, GPa hmax, nm 1 Cu6PS5I single crystal 3.3 69.9 3.2 73.9 4.4 79.6 7.1 95 2 Cu6.4P1.2S4.6I0.8 thin film 2.2 75.4 2.0 74.7 1.4 45.4 – – SPQEO, 2019. V. 22, N 1. P. 47-52. Bilanych V.V., Bendak А.V., Skubenych K.V. et al. Mechanical properties of Cu6PS5І superionic crystals … 49 Fig. 2. Dependences of the hardness H (1) and Young’s modulus E (2) of Cu6PS5І crystal on the penetration depth of indenter. increase. The specified mechanisms can be related to formation of various deformation zones in the contact region, to migration of structural defects related changes in the deformation mechanisms of the crystal. In particular, under the sharp indenter in the investigated materials the following areas of deformation such as hydrostatic zone, gradient zone, elastoplastic zone, and elastic zone are observed [13, 14]. The change in the magnitude of these zones and their movement into the depth of the film, to the substrate, leads to a change in the stiffness in the region of the nanocontact and, accordingly, to a change in the values of E and H. When the possible effects of ISE and indenter tip geometry are neglected, a dominance of the elastic mechanism of crystals deformation can be assumed. Then, the dependence P = f (h) can be approximated by the equation [15], 3 3 4 rhEP R ⋅⋅= , (2) where ER is the reduced modulus ( ) ( ) i i s s R EEE 22 111 ν− + ν− = , r – radius at the indenter top, ν and E are Poisson’s ratio and Young’s modulus of the investigated material (s) and indentor (i), respectively. Eq. (2) from the Hertzian theory of mechanical contact of ideal elastic bodies corresponds to a purely elastic deformation [15]. Fig. 3 displays a part of “P-h” curve within the load range 0…2.5 µN and the result of their approximation by using Eq. (2). It is visible that the P(h) dependence is well approximated by the Hertzian equation. After neglecting possible indenter radius effects, we can assume that the maximum depth value, for which Eq. (2) is valid, determines the radius of hydrostatic pressure zone. Fig. 2 shows that the slopes of E and H dependences at nm150≥h are reduced as compared to those at smaller depths. This indicates that the main Fig. 3. “P–h” diagram approximation by the Hertzian model for Cu6PS5І in nanoregion. deformation mechanism at nm150≥h gradually stabilizes. It is generally accepted that plastic deformation in the bulk crystalline materials involves the movement of existing defects and formation of new ones, especially dislocations in the contact region [10]. Generation and motion of point defects at the initial stage of plastic deformation of Cu6PS5І crystals may also take place. The observed hardness dependence in Cu6PS5І crystals with increasing the indentation depth can be interpreted in the framework of the deformation gradient model (MSG) [16-19]. The indentation of crystals would be accompanied by generation of circular loops of geometrically necessary dislocations [16] with Burgers vectors normal to the plane surface of the crystal, according to the strain gradient plasticity theory [18]. Formation of these dislocations leads to the deformation strengthening the crystal. According to this model, the H(h) dependence can be described by the equation [20]: h h H H ∗ += 1 0 , (3) where H is the hardness for a given depth of imprint h, H0 – hardness in the limit of infinite depth (hardness in the absence of strain gradient effects [17]) and h * – characteristic length that depends on the indenter shape, the shear modulus and H. According to Eq. (3), H 2 should be linearly dependent on h –1 . Fig. 4 shows the dependences H(h) in the coordinates “H 2 –h –1 ” for Cu6PS5І crystals. The experimental dependence is well approximated by Eq. (3) in the depth range nm600≥h . Thus, the dislocation mechanism in Cu6PS5І crystals according to the gradient model (MSG) [16-20] can be applied in this depth region. Transformation of Eq. (3) allowed us to obtain the value of H0 = 2.4 GPa from the “H 2 –h –1 ” dependence. Subsequently, the value of h * = 0.89 µm was determined from the slope of this line. In the transient 150 to 600 nm SPQEO, 2019. V. 22, N 1. P. 47-52. Bilanych V.V., Bendak А.V., Skubenych K.V. et al. Mechanical properties of Cu6PS5І superionic crystals … 50 Fig. 4. The size effects approximation of H(h) dependence for the Cu6PS5І crystal in the model of gradient deformations in the micro-region. The inset shows the H(h) dependence of the Cu6PS5І crystal, normalized to H0, in the “ 1 2 0 2 −−         h H H ”coordinates (1 – experiment, 2 – result of a linear approximation). region, a mixed mechanism of plastic deformation seems to be valid. Formation of plastic deformation occurs at the expense of both point defects and dislocations movement. 3.2. Nanoindentation in thin films Fig. 5 illustrates the hardness and indentation modulus depth profiles in Cu6.4P1.2S4.6I0.8 thin film. These profiles differ substantially from the analogous ones in Cu6PS5І single crystals (Fig. 1) because of strong substrate effect. There is a rapid increase of the H and E parameters within the range h = 20…150 nm due to the effects of indenter tip geometry. At nm150≥h , the slope decreases, and small plateau is observed. It corresponds Fig. 5. Dependences of the hardness H (1) and Young’s modulus E (2) of Cu6.4P1.2S4.6I0.8 thin film on penetration depth of indenter. to the hardness of the coating. At larger depths, gradual increase of the hardness and an approach to the hardness of the substrate are observed. It should be noted that the depth profiles in thin films at nm100≤h are strongly influenced by indenter tip radius and tip radius-to-coating thickness ratio [21] and therefore, cannot be used for consideration of physical mechanisms, as it was done in the bulk materials. The H(h) and E(h) depth profiles at h > 100 nm can be explained using a model of soft thin film on a rigid substrate [22]. During gradual increase of indenter loading, the elastic (and later plastic) deformation zones under the indenter gradually extend across the thickness of the film and reach the substrate at certain load. Prior to that, the properties of film are mostly measured; after that, the measured H and E values are defined by a gradually changing combination of mechanical properties of the film and substrate. Obviously, the elastic substrate has a greater influence on the contact stiffness related to the elastic deformation than on hardness related to the plastic deformation that occurs later [21-23]. Hardness of the studied Cu6.4P1.2S4.6I0.8 film is given by the plateau in the depth region 150…250 nm (Fig. 5). Plateau means that const)( ≈hH and the general rule that the obtained value should be from maximum 10% of the coating thickness is fulfilled. At nm250≥h , contribution of stiffer and harder substrate results in the increase of measured values. Fig. 6 illustrates microhardness dependence of Cu6PS5І-based thin films on their composition. At 42 at.% Cu content, the hardness of the film was around 1.9 GPa. Cu content increase caused rapid decrease of the films hardness to around 0.7 GPa. At the same time, the conductivity of these films increased [24, 25]. It is well known that high ionic conductivity of the investigated thin films is caused by formation of conductive channels from dendrites and crystal clusters by spinodal decom- position when the copper content increases [26]. Fig. 6. Compositional dependences of the hardness H (1) and electrical conductivity σ (2) for Cu6PS5І-based thin films. SPQEO, 2019. V. 22, N 1. P. 47-52. Bilanych V.V., Bendak А.V., Skubenych K.V. et al. Mechanical properties of Cu6PS5І superionic crystals … 51 In this case, the film would consist of rigid nanocrystallites and their clusters distributed in more ductile amorphous matrix [26]. Hardness may increase due to this nanocomposite structure if the content of soft matrix phase is sufficiently small. However, no such effect was observed in Fig. 6. Apparently, plastic deformation during indentation occurred by the displacement of rigid clusters in the soft matrix and therefore, the hardness of the film seems to be determined by the stiffness of the matrix without the influence of nanocrystals. 4. Conclusions The hardness and indentation modulus of Cu6PS5І crystals and thin films based on them were determined by nanoindentation exhibited significant changes with the increase of indentation depth. Deformation behavior in Cu6PS5І crystals at small depths (<150 nm) can be explained by a dislocation mechanism and the hardness changes at larger indentation depths changes in accord with the deformation gradient model. The corresponding dependences of the hardness for Cu6PS5І-based thin films were explained using the model of soft thin film on a rigid substrate. The hardness of a thin films based on Cu6PS5І decreased, and conductivity increased with the increase of copper concentration. These effects can be attributed to spinodal decomposition resulting in formation of conducting clusters and dendrites in an amorphous matrix. References 1. Kuhs W.F., Nitsche R., Scheunemann K. The argyrodites – a new family of the tetrahedrally close-packed structures. Mat. Res. Bull. 1979. 14. P. 241–248. 2. Studenyak I.P., Kranjčec M., Kovacs Gy.Sh., Panko V.V., Mitrovcij V.V., Mikajlo O.A. Structural disordering studies in Cu6+δPS5I single crystals. Mater. Sci. Eng. 2003. B 97. P. 34–38. 3. Gagor A., Pietraszko A., Kaynts D. Diffusion paths formation for Cu + ions in superionic Cu6PS5I single crystals studied in terms of structural phase transition. J. Solid State Chem. 2005. 178. P. 3366– 3375. 4. Studenyak I.P., Stefanovich V.O., Kranjčec M., Desnica D.I., Azhnyuk Yu.M., Kovacs Gy.Sh., Panko V.V. Raman scattering studies of Cu6PS5Hal (Hal = Cl, Br and I) fast-ion conductors. Solid State Ionics. 1997. 95. P. 221–225. 5. Samulionis V., Banys J., Vysochanskii Y., Studenyak I. Investigation of ultrasonic and acoustoelectric properties of ferroelectric- semiconductor crystals. Ferroelectrics. 2006. 336. P. 29–38. 6. Studenyak I.P., Kranjčec M., Kurik M. Urbach rule and disordering processes in Cu6P(S1-xSex)5Br1-yIy superionic conductors. J. Phys. Chem. Solids. 2006. 67. P. 807–817. 7. Studenyak I.P., Kranjčec M., Kovacs Gy.Sh., Desnica I.D., Panko V.V., Slivka V.Yu. Influence of compositional disorder on optical absorption processes in Cu6P(S1-xSex)5I crystals. J. Mater. Res. 2001. 16. P. 1600–1608. 8. Studenyak I.P., Kranjčec M., Kovacs Gy.S., Desnica-Franković I.D., Panko V.V., Guranich P.P. Electric conductivity and optical absorption edge of Cu6P(SexS1-x)5I fast-ion conductors in the selenium- rich region. J. Phys. Chem. Solids. 2001. 62. P. 665–672. 9. Kranjčec M., Studenyak I.P., Bilanchuk V.V., Dyordyaj V.S., Panko V.V. Compositional behaviour of Urbach absorption edge and exciton- phonon interaction parameters in Cu6PS5I1-xBrx superionic mixed crystals. J. Phys. Chem. Solids. 2004. 65. P. 1015–1020. 10. I. Golovin Yu.I. Nanoindentation and mechanical properties of solids in submicrovolumes, thin near- surface layers and films: A review. Physics of Solid State. 2008. 50. P. 2205–2236. 11. Li X., Bhushan B. A review of nanoindentation continuous stiffness measurement technique and its applications. Materials Characterization. 2002. 48. P. 11–36. 12. Milman Yu.V., Golubenko A.A., Dub S.N. Indentation size effect in nanohardness. Acta Materialia. 2002. 59. P. 7480–7487. 13. Giannakopoulos A.E., Suresh S. Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 1999. 40. P. 1191–1198. 14. Golovin Yu.I. Nanoindentation and Its Capabilities. Moscow, Mashinostroenie, 2009 (in Russian). 15. Mason J.K., Lund A.C., Schuh C.A. Determining the activation energy and volume for the onset of plasticity during nanoindentation. Phys. Rev. B. 2006. 73. P. 054102:1–14. 16. Ashby M.F. The deformation of plastically non- homogeneous materials. Phil. Mag. 1970. 21. P. 399–424. 17. Gao H., Huang Y., Nix W.D. Hutchinson J.W. Mechanism based strain gradient plasticity – I. Theory. J. Mech. Phys. Solids. 1999. 47. P. 1239– 1263. 18. Nix W.D., Gao H. Indentation size effects in crystalline materials: A law for strain gradient plasticity. J. Mech. Phys. Solids. 1998. 46. P. 411– 425. 19. Matthew R., Begley J., Hutchinson W. The mechanics of size-dependent indentation. J. Mech. Phys. Solids. 1998. 46. P. 2049–2068. 20. Zong Z., Lou J., Adewoye O.O., Elmustafa A.A., Hammad F., Soboyejo W.O. Indentation size effects in the nano and microhardness of FCC single crystal metals. Materials and Manufacturing Processes. 2007. 22. P. 228–237. SPQEO, 2019. V. 22, N 1. P. 47-52. Bilanych V.V., Bendak А.V., Skubenych K.V. et al. Mechanical properties of Cu6PS5І superionic crystals … 52 21. Lofaj F., Nemeth D. The effects of tip sharpness and coating thickness on nanoindentation measurements in hard coatings on softer substrates by FEM. Thin Solid Films. 2017. 644. P. 173–181. 22. Tsui T.Y., Pharr G.M. Substrate effects on nanoindentation mechanical property measurement of soft films on hard substrates. J. Mater. Res. 1999. 14. P. 292–301. 23. Bilanych V.S., Lofaj F., Flachbart K., Csach K., Kuzma V.V., Rizak V.M. Nanoindentation of amorphous films of the Ge-As-Se system. Physics of Solid State. 2014. 56. P. 1163–1167. 24. Studenyak I., Rybak S., Bendak A., Izai V., Guranich P., Kúš P., Mikula M. Structural disordering studies of Cu6PS5I-based thin films deposited by magnetron sputtering. EPJ Web of Conferences. 2017. 133. P. 02002:1–3. 25. Studenyak I.P., Bendak A.V., Izai V.Yu., Guranich P.P., Kúš P., Mikula M., Grančič B., Zahoran M., Greguš J., Vincze A., Roch T., Plecenik T. Electrical and optical parameters of Cu6PS5I-based thin films deposited using magnetron sputtering. Semiconductor Physics, Quantum Electronics & Optoelectronics. 2016. 19. P. 79–83. 26. Studenyak I.P., Izai V.Yu., Bendak A.V., Guranich P.P., Azhniuk Yu.M., Kúš P., Zahn D.R.T. Optical and electrical properties of Cu6PS5I-based thin films versus copper content variation. Ukr. J. Phys. Opt. 2017. 18. P. 232–238. Authors and CV Vasyl V. Bilanych, born in 1996. This time, he studies at the magistracy of Uzhhorod National University at the Faculty of Physics. Authored 2 publications. The area of his scientific interests includes relaxation pheno- mena in chalcogenide materials. Andrii V. Bendak, born in 1992. Researcher at the Applied Physics Department of Uzhhorod National University, Ukraine. Authored 14 publications and 4 patents. The area of his scientific interests includes physical properties of superionic conductors. Kateryna V. Skubenych, born in 1985. She has completed post graduate studies. Head of the department of Patent and Licensing Providing and Commercialization of the Intellectual Property Objects at Uzhhorod National University. Authored 5 publications. The area of her scientific interests includes relaxation phenomena in chalcogenide materials. František Lofaj, Assoc. Prof. RNDr. DrSc., Head of department of structural ceramics, Institute of materials research, Kosice, Slovakia. Scientific activities: PVD deposition technologies for hard coatings, nanoindentation and tribology of PVD coatings, electron microscopy of ceramic materials, atomic force microscopy, development of the methods for testing mechanical properties of brittle materials. Ihor P. Studenyak, born in 1960, defended his Dr. Sc. degree in Physics and Mathematics in 2003 and became full professor in 2004. Vice-rector for scientific work at Uzhhorod National University, Ukraine. Authored over 200 publications, 120 patents, 15 text- books. The area of his scientific interests includes physical properties of semiconductors, ferroics and superionic conductors. Vitaliy S. Bilanych, born in 1963, defended his PhD thesis in Physics and Mathematics in 1993. Became associate professor in 2003 and works at the Applied Physics Department of Uzhhorod National University. Authored over 80 publications. The area of his scientific interests includes physical properties of non-crystalline semiconductors, relaxation phenomena in chalcogenide materials. Vasyl M. Rizak, Doctor of Physical and Mathematical Sciences, Professor, Head of Department of solid-state electronics, information security head of the Transcarpathian branch of the Ukrainian Physical Society. The area of scientific interests is solid state physics.
id nasplib_isofts_kiev_ua-123456789-215428
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1560-8034
language English
last_indexed 2026-03-23T18:51:19Z
publishDate 2019
publisher Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
record_format dspace
spelling Bilanych, V.V.
Bendak, А.V.
Skubenych, K.V.
Lofaj, F.
Studenyak, I.P.
Bilanych, V.S.
Rizak, V.M.
2026-03-16T11:00:21Z
2019
Mechanical properties of Cu₆PS₅І superionic crystals and thin films / V.V. Bilanych, А.V. Bendak, K.V. Skubenych, F. Lofaj, I.P. Studenyak, V.S. Bilanych, V.M. Rizak // Semiconductor Physics Quantum Electronics &amp; Optoelectronics. — 2019. — Т. 22, № 1. — С. 47-52. — Бібліогр.: 26 назв. — англ.
1560-8034
PACS: 71.70.Gm, 61.43.Fs
https://nasplib.isofts.kiev.ua/handle/123456789/215428
https://doi.org/10.15407/spqeo22.01.47
The hardness and Young’s modulus dependences on the instrumented indentation depth profiles in Cu₆PS₅І single crystals and Cu₆PS₅І-based thin films were investigated. The measurements of mechanical parameters were performed at room temperature by instrumented indentation in the continuous stiffness measurement mode with harmonic modulation of load during its linear increase. The variations of the hardness and Young’s modulus in Cu₆PS₅І single crystals were interpreted in the framework of the deformation gradient model. The decrease of micro-hardness in Cu₆PS₅І-based thin film observed with copper content increase was explained by the formation of conductive clusters and dendrites.
en
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
Semiconductor Physics Quantum Electronics &amp; Optoelectronics
Semiconductor physics
Mechanical properties of Cu₆PS₅І superionic crystals and thin films
Article
published earlier
spellingShingle Mechanical properties of Cu₆PS₅І superionic crystals and thin films
Bilanych, V.V.
Bendak, А.V.
Skubenych, K.V.
Lofaj, F.
Studenyak, I.P.
Bilanych, V.S.
Rizak, V.M.
Semiconductor physics
title Mechanical properties of Cu₆PS₅І superionic crystals and thin films
title_full Mechanical properties of Cu₆PS₅І superionic crystals and thin films
title_fullStr Mechanical properties of Cu₆PS₅І superionic crystals and thin films
title_full_unstemmed Mechanical properties of Cu₆PS₅І superionic crystals and thin films
title_short Mechanical properties of Cu₆PS₅І superionic crystals and thin films
title_sort mechanical properties of cu₆ps₅і superionic crystals and thin films
topic Semiconductor physics
topic_facet Semiconductor physics
url https://nasplib.isofts.kiev.ua/handle/123456789/215428
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