crystals Article Properties of LiGa0.5In0.5Se2: A Quaternary Chalcogenide Crystal for Nonlinear Optical Applications in the Mid-IR Ludmila Isaenko 1,2 , Alexander Yelisseyev 1 , Sergei Lobanov 1 , Vitaliy Vedenyapin 1 , Pavel Krinitsyn 1 and Valentin Petrov 3, * 1 2 3 * Laboratory of Crystal Growth, Institute of Geology and Mineralogy, SB RAS, 3 Ac. Koptyuga Ave., 630090 Novosibirsk, Russia; [email protected] (L.I.); [email protected] (A.Y.); [email protected] (S.L.); [email protected] (V.V.); [email protected] (P.K.) Laboratory of Semiconductor and Dielectric Materials, Novosibirsk State University, 2 Pirogova Str., 630090 Novosibirsk, Russia Max-Born-Institute for Nonlinear Optics and Ultrafast Spectroscopy, 2A Max-Born-Str., D-12489 Berlin, Germany Correspondence: [email protected]; Tel.: +49-30-6392-1272 Academic Editor: Ning Ye Received: 22 June 2016; Accepted: 22 July 2016; Published: 28 July 2016 Abstract: LiGaSe2 (LGSe) and LiInSe2 (LISe) are wide band-gap nonlinear crystals transparent in the mid-IR spectral range. LiGa0.5 In0.5 Se2 (LGISe) is a new mixed crystal, a solid solution in the system LGSe–LISe, which exhibits the same orthorhombic structure (mm2) as the parent compounds in the same time being more technological with regard to the growth process. In comparison with LGSe and LISe its homogeneity range is broader in the phase diagram. About 10% of the Li ions in LGISe occupy octahedral positions (octapores) with coordination number of 3. The band-gap of LGISe is estimated to be 2.94 eV at room temperature and 3.04 eV at 80 K. The transparency at the 0-level extends from 0.47 to 13 µm. LGISe crystals exhibit luminescence in broad bands centered near 1.7 and 1.25 eV which is excited most effectively by band-to-band transition. From the measured principal refractive indices and the fitted Sellmeier equations second-harmonic generation from 1.75 to 11.8 µm (fundamental wavelength) is predicted. The nonlinear coefficients of LGISe have values between those of LGSe and LISe. 6 LGISe crystals are considered promising also for detection of thermal neutrons. Keywords: nonlinear optical crystals; ternary and quaternary chalcogenides; solid solution; mid-IR 1. Introduction The orthorhombic lithium ternary chalcogenides with the chemical formula LiBC2 where B=In and Ga, C=S and Se, occupy a special position among the non-oxide nonlinear optical crystals because they are characterized by the widest band-gaps [1–7]. Thus, their main advantage consists in the possibility to pump them at rather short wavelengths (in the near-IR), without two-photon absorption (TPA), generating tunable mid-IR radiation by frequency down-conversion nonlinear optical processes [8]. The wider band-gap, in comparison e.g., to their chalcopyrite type AgBC2 analogues, also leads to increased damage threshold and relatively weak refractive index dispersion in the infrared which is important for frequency conversion of short laser pulses. In addition, the thermal conductivity of the four LiBC2 compounds is also higher compared to their AgBC2 counterparts, which is an essential advantage at high average powers. Whereas the chalcopyrites AgBC2 exhibit strong anisotropy of the thermal extension with opposite sign of the coefficients along different crystallographic directions (parallel and perpendicular to the optical axis c), these coefficients show only slight anisotropy in the Crystals 2016, 6, 85; doi:10.3390/cryst6080085 www.mdpi.com/journal/crystals Crystals 2016, 6, 85 2 of 10 LiBC2 compounds. The latter makes it possible to select any desirable orientation for the seed in the process of crystal growth. In the chalcopyrite family of nonlinear crystals AgBC2 , all four types of solid solutions have been studied but in the limit of AgInC2 , the birefringence is too low for phase-matching. Ternary sulfides and selenides with the general formula AgBC2 and chalcopyrite structure readily form continuous series of isovalent substitutional solid solutions and this is true in particular for the AgGaSe2 –AgInSe2 system [9–11]. Mixed crystals of AgGa1´x Inx Se2 with In content up to 42% were grown [9] and it was shown that AgGa1´x Inx Se2 nonlinear crystals possess considerable potential for the realization of noncritically phase-matched three-photon interactions [9,11]. In contrast to the AgInC2 family, all four wurtzite type LiBC2 compounds possess sufficient birefringence and obviously all their properties can be continuously tuned by engineering the composition. The growth of two such solid solutions, LiIn(S1´x Sex )2 [12] and LiGa1´x Inx Se2 [13], has been reported for x = 0.5. The present work is devoted to the characterization of LiGa0.5 In0.5 Se2 (LGISe). Crystal engineering in the system LiGaSe2 (LGSe)´LiInSe2 (LISe) is potentially interesting because although most of the properties of the two parent compounds are quite similar and interpolation is expected to provide a reliable estimate of the expected characteristics, the difference for a given three-wave interaction process pumped by a specific laser system can be rather large. Thus, e.g., amplified Ti:sapphire laser systems, the most advanced sources of high energy femtosecond pulses, can be used for pumping parametric amplifiers based on LGSe but not LISe although the latter exhibits the highest nonlinearity among the LiBC2 compounds. This limitation is a consequence of the different band-gaps: as a result of this the TPA coefficient measured at 820 nm is <0.07 cm/GW for LGSe but as large as 0.6 cm/GW for LISe [2]. The situation is similar in another important application of the Li-containing chalcogenides, namely for detection of thermal neutrons, where also a trade-off of properties is required. This application is based on the high thermal neutron cross section (938 barns) of the 6 Li isotope which converts thermal neutrons to highly ionizing particles through the nuclear reaction 6 Li(n,α)3 H, while the LiBC2 semiconductors detect the electron-hole pairs induced by either tritium ions or α-particles [14]. Among the LiBC2 crystals maximum response has been demonstrated with LISe which exhibits the minimum band-gap. On the other hand, thermal neutrons can be detected by recording the light pulses generated as a result of the interaction of the crystal with ionizing particles: in this case LISe operates as a scintillator [15]. The problem is the natural abundance of 6 Li which amounts to only 7.5%. To increase the detection efficiency LISe crystals with lithium as 6 Li can be grown [16]. However, 115 In (with natural abundance of 95.7%) present in LISe also captures neutrons, which results in gamma decay rather than charge creation. From this point of view, replacing In- by Ga-ions can potentially increase the efficiency of the neutron detection [17]. Compositions with 25%, 50%, and 85% substitution were grown in [17]. The present paper presents information on the growth procedure, crystal structure, and the linear and nonlinear optical properties (including photoluminescence, dispersion of refractive indices, phase-matching conditions) of LGISe. 2. Crystal Growth and Structure LGISe was obtained from the two compounds LISe and LGSe, taken in stoichiometric ratio. The two ternary lithium selenides were first synthesized by the methodology described in previous work [3,5]. The melting temperature of the quaternary LGISe is lower (830 ˝ C) than the melting temperatures of both LISe (905 ˝ C) and LGSe (915 ˝ C). The synthesis of the quaternary compound was carried out in a glass graphite crucible located inside a silica container, for 4 h at T = 970 ˝ C in Ar atmosphere. The obtained charge of the quaternary compound was backfilled into a glass graphite crucible. A conical bottom of the crucible provides a separation of the single crystal nucleus during the growth process. The crucible was then inserted into a silica ampoule. The ampoule was evacuated to 10´3 Pa, then filled with dry Ar to provide some overpressure (about 1000 Pa) and finally sealed. Crystals 2016, 6, 85 3 of 10 Crystals 2016, 6, 85 3 of 10 In [18] the process of incongruent evaporation was studied in detail for both LISe and LGSe In [18] the process of incongruent evaporation was studied in detail for both LISe and LGSe compounds at temperatures near the melting point. The perfection of a bulk crystal of certain compounds at temperatures near the melting point. The perfection of a bulk crystal of certain composition depends on the growth conditions such as the maximum temperature and the time composition depends on the growth conditions such as the maximum temperature and the time of of melt overheating. According to our data, an overheating exceeding 50 ˝ C results in strong shift melt overheating. According to our data, an overheating exceeding 50 °C results in strong shift of the of the compound composition away from the stoichiometric one. Volatile components with a high compound composition away from the stoichiometric one. Volatile components with a high partial partial pressure of Ga(In)2 Se3 escape from the reaction area and migrate into the free area of the reactor. pressure of Ga(In)2Se3 escape from the reaction area and migrate into the free area of the reactor. Ar Ar overpressure in the reactor solves partly the problem. The lower synthesis and growth temperatures overpressure in the reactor solves partly the problem. The lower synthesis and growth temperatures of LGISe suppress the effect of incongruent sublimation and thus from the point of view of crystal of LGISe suppress the effect of incongruent sublimation and thus from the point of view of crystal growth, the quaternary compound seems quite promising for achieving good optical quality. growth, the quaternary compound seems quite promising for achieving good optical quality. The growth of LGISe single crystals was carried out by a modified vertical Bridgman-Stockbarger The growth of LGISe single crystals was carried out by a modified vertical technique. The ampoule technique. was quiescently located inwas thequiescently furnace, in alocated position temperature gradient Bridgman-Stockbarger The ampoule inwith the furnace, in a position ˝ C/cm. The furnace was heated at a rate of 100 ˝ C/h to a temperature exceeding the melting of 15 to 30 with temperature gradient of 15 to 30 °C/cm. The furnace was heated at a rate of 100 °C/h to a point by 50 ˝ C. This temperature was maintained 10 h and then the furnace was slowly temperature exceeding the melting point by 50 °C.for This temperature was maintained for 10 cooled h and down following program which ensured crystal growth rate ofwhich 0.1 to ensured 1.0 mm/day during the entire then the furnacea was slowly cooled downafollowing a program a crystal growth rate growth process. Finally,during the furnace was switched-off. The Finally, as-grown had a diameter of 20 The mm of 0.1 to 1.0 mm/day the entire growth process. thecrystals furnace was switched-off. and a length of up to 50 amm but were milky 1a). This required additional annealing in vacuum as-grown crystals had diameter of 20 mm(Figure and a length of up to 50 mm but were milky (Figure 1a). ˝ C for a period of 3 h to obtain high transparency. The resulting color varied from or in Se vapor at 750 This required additional annealing in vacuum or in Se vapor at 750 °C for a period of 3 h to obtain yellow to pink depending on the deviation fromfrom stoichiometry. In Figure 1b, twoonsemiprisms of LGISe high transparency. The resulting color varied yellow to pink depending the deviation from are shown in transmitted light: they were used to study the dispersion of the refractive indices and stoichiometry. In Figure 1b, two semiprisms of LGISe are shown in transmitted light: they were used the birefringence. The annealed LGISe crystals show a dark red luminescence under UV excitation at to study the dispersion of the refractive indices and the birefringence. The annealed LGISe crystals 365 nma(Figure 1c). show dark red luminescence under UV excitation at 365 nm (Figure 1c). (a) (b) (c) Figure1. 1. (a) As-grown LGISe (b)boule; LGISe insemiprisms in transmitted light; (c) Figure (a) As-grown LGISe boule; LGISe (b) semiprisms transmitted light; (c) Photoluminescence Photoluminescence (PL) pattern of annealed LGISe under UV excitation. (PL) pattern of annealed LGISe under UV excitation. Thecrystal crystalstructure structureof of LGISe LGISe was was studied studied on on single single crystals crystals with with Oxford Oxford Diffraction Diffraction Gemini The Gemini R R Ultra(Oxford (Oxford Diffraction Diffraction Ltd., Ltd., Abingdon, Abingdon, UK) UK) and and Bruker Bruker P4 P4 (Bruker (Bruker Advanced Ultra Advanced X-Ray X-Ray Solutions, Solutions, Madison, WI, USA), MoKα λ = 0.71073 Å diffractometers, using the SHELXL-97 program Madison, WI, USA), MoKα λ = 0.71073 Å diffractometers, using the SHELXL-97 program (George (George Sheldrick, Göttingen, Germany). The LGISe structure is similar to that of the two parent Sheldrick, Göttingen, Germany). The LGISe structure is similar to that of the two parent ternary 9 2 structure with space group Pna219or C 2 v (Table 1). The structure of ternary compounds: β-NaFeO compounds: β-NaFeO 1). The structure of the 2 structure with space group Pna21 or C2v (Table 2 compounds is formed by LiSe 4 and BSe4 tetrahedrons, the orthorhombic (point group mm2) LiBSe orthorhombic (point group mm2) LiBSe2 compounds is formed by LiSe4 and BSe 4 tetrahedrons, and the and the Se-ions are arranged in hexagonal packing with tetragonal and octahedral cavities Se-ions are arranged in hexagonal packing with tetragonal and octahedral cavities (tetrapores and (tetraporesOnly and octapores). Only half of tetrapores are normally occupied Li- and B-ions while octapores). half of the tetrapores arethe normally occupied by Li- and B-ionsby while all octapores are all octapores are normally empty. The structure of the parent components LISe and LGSe exhibits normally empty. The structure of the parent components LISe and LGSe exhibits some characteristic some characteristic features. ions occupy two (in tetrafeatures. Li ions occupy two Li nonequivalent sitesnonequivalent (in tetra- andsites octapores) inand LISeoctapores) but there in is LISe only but such theresite is only one such site (in tetrapores) in LGSe. structure the mixed LGISe crystal one (in tetrapores) in LGSe. The structure of theThe mixed LGISe of crystal inherits this feature inherits this component: feature from the 10% LISeofcomponent: about octapores 10% of the Li ions from the LISe about the Li ions occupy (Tables 2 andoccupy 3, Figureoctapores 2). Thus, (Tables 2 and 3, Figure 2). Thus, the LGISe structure is considered to contain the two subsystems. the LGISe structure is considered to contain the two subsystems. The unit cell parameters of LGISe are unit cellÅ, parameters of LGISe = 7.0376(2) b =unit 8.3401(3) Å, and is c =392.4 6.6855(2) Å. The unit cell aThe = 7.0376(2) b = 8.3401(3) Å, andare c =a 6.6855(2) Å.Å, The cell volume Å3 , larger compared 3, larger compared to LGSe and smaller compared to LISe. The composition of the volume is 392.4 Å to LGSe and smaller compared to LISe. The composition of the bulk crystals was determined by a bulk crystals was determined by a high-accuracy chemical analysis, and the phase state was controlled by X-ray diffraction. Assuming linear change of the lattice parameters with composition Crystals 2016, 6, 85 4 of 10 high-accuracy chemical analysis, and the phase state was controlled by X-ray diffraction. Assuming linear change of the lattice parameters with composition of the LiGax In1´x Se2 solid solutions, the experimentally measured lattice parameters would correspond to a composition with x = 0.42–0.43. Table 1. Crystal data and structure refinement details for LiGa0.5 In0.5 Se2 . Formula LiGa0.5 In0.5 Se2 formula weight (g/mol) crystal system space group 257.13 orthorhombic Pna21 a = 7.0376(2), b = 8.3401(3), c = 6.6855(2) 392.40(2)/4 4.352 0.1 ˆ 0.2 ˆ 0.2 24.809 3.79–32.57 ´10 ď h ď 10, ´12 ď k ď 11, ´5 ď l ď 10 3883/1213 (R(int) = 0.0250) 1213/1/39 0.663 R(F) = 0.0129, wR(F2 ) = 0.0486 R(F) = 0.0183, wR(F2 ) = 0.0594 0.040(19) 0.0107(8) 0.338/´0.424 unit cell dimensions (Å) V (Å3 ); Z calculated density (g/cm3 ) crystal size (mm) µ (MoKα) (mm´1 ) θ range (deg) for data collection Miller index ranges reflections collected/unique data/restraints/parameters goodness-of-fit on F2 (GOF) final R indices (I > 2σ(I)) R indices (all data) absolute structure parameter extinction coefficient largest difference peak/hole (e¨Å´3 ) Table 2. Atomic coordinates and equivalent isotropic atomic displacement parameters for LiGa0.5 In0.5 Se2 . Atom x/a y/b z/c Ueq (Å2 ) In/Ga * Se(1) Se(2) Li(1) ** Li(2) *** 0.57623(3) 0.41137(5) 0.57352(4) 0.5841(10) 0.257(10) 0.62606(2) 0.87170(4) 0.62421(4) 0.1209(7) 0.114(6) 0.38637(16) 0.50826(6) 0.01222(8) 0.378(4) 0.142(11) 0.0157(1) 0.0207(2) 0.0204(2) 0.024(3) 0.03(3) * refined site occupancy factor (sof): 0.52(1)/0.48(1) for In/Ga, respectively; ** sof: 0.90(5); *** sof: 0.10(5). Table 3. Selected interatomic distances (Å) in LiGa0.5 In0.5 Se2 . In-Tetrahedron Li(1)-Tetrahedron Li(2)-Pyramid In–Se(2 a ) 2.4850(6) In–Se(1) 2.4915(5) In–Se(1 b ) 2.4954(5) In–Se(2) 2.5015(13) <In–Se> 2.4934 Li(1)–Se(2 a ) 2.56(1) Li(1)–Se(1 c ) 2.47(3) Li(1)–Se(2 d ) 2.57(1) Li(1)–Se(1e ) 2.56(1) <Li(1)–Se> 2.54 Li(2)–Se(1 c ) 2.50(7) Li(2)–Se(1 f ) 2.52(6) Li(2)–Se(2 g ) 2.61(6) <Li(2)–Se> 2.54 Symmetry codes: a ´x + 1, ´y + 1, z + 1/2; b x + 1/2, ´y + 3/2, z; c ´x + 1, ´y + 1, z ´ 1/2, ´z + 1; d ´x + 3/2, y ´ 1/2, z + 1/2; e x, y ´ 1, z; f x ´ 1/2, ´y + 1/2, z; g ´x + 1/2, y ´ 1/2, z. Crystals 2016, 6, 85 Crystals Crystals 2016,2016, 6, 85 6, 85 5 of 10 5 of 10 5 of 10 0.5Se In20.5Se 2 possesses β-NaFeO 2-type structure as the ternary 2 Figure 2. LiGa Figure 2. LiGa 0.5In0.5 possesses the the samesame -NaFeO 2-type structure as the fourfour ternary LiBCLiBC 2 Figure 2. LiGa0.5 In0.5 Se2 possesses the same β-NaFeO2 -type structure as the four ternary LiBC2 compounds. At room temperature and normal pressure the major part of the Li ions occupy compounds. At room temperature and normal pressure the major part of the Li ions occupy compounds. At room temperature and normal pressure the major part of the Li ions occupy tetrapores tetrapores in LGISe the LGISe structure about of Li theions Li ions are localized inside octapores. tetrapores in the structure and and onlyonly about 10%10% of the are localized inside octapores. in the LGISe structure and only about 10% of the Li ions are localized inside octapores. Transmission and Luminescence 3. Transmission andand Luminescence 3.3.Transmission Luminescence The transmission ofthe the as-grown yellow LGISe crystals was measured using conventional The transmission of of the as-grown yellow LGISe crystals was measured using a conventional The transmission as-grown yellow LGISe crystals was measured using a aconventional spectrophotometer in the UV to near-IR and a Fourier-transform spectrophotometer in the mid-IR, spectrophotometer in the UV to near-IR and a Fourier-transform spectrophotometer in the mid-IR, spectrophotometer in the UV to near-IR and a Fourier-transform spectrophotometer in the mid-IR, Figure extends roughly from 0.47 to13.5 13.5 µm atthe the 0-level mm thick LGISe samples. Thus, Figure 3. 3. It3.extends roughly from 0.47 to to 13.5 µ mµm at at the 0-level forfor 7for mm thick LGISe samples. Thus, Figure ItItextends roughly from 0.47 0-level 7 7mm thick LGISe samples. Thus, LGISe can be pumped at 1064 nm without TPA. Variations of LGISe color from yellow to pink are LGISe can be pumped at 1064 nm without TPA. Variations of LGISe color from yellow to pink are LGISe can be pumped at 1064 nm without TPA. Variations of LGISe color from yellow to pink are possible: the corresponding transmission spectra are given in Figure 3. Yellow and pink crystals possible: the given in inFigure Figure3.3.Yellow Yellow and pink crystals possible: thecorresponding correspondingtransmission transmissionspectra spectra are are given and pink crystals have have similar transmission spectra with broad absorption bands around 2.6 and 10.3 in the have similar transmission spectra with broad absorption bands around 2.6 and 10.3 μm in the similar transmission spectra with broad absorption bands around 2.6 and 10.3 µm in theµm infrared. infrared. In the visible region there is a broad band around 0.6 µm. In pink samples the fundamental infrared. In the visible region there is a broad band around 0.6 µ m. In pink samples the fundamental In the visible region there is a broad band around 0.6 µm. In pink samples the fundamental absorption absorption shifts to 0.515 an additional absorption feature appears inrange. the 0.6–0.8 µm absorption edge shifts to and 0.515 m µm andand an absorption additional absorption feature appears inµm the 0.6–0.8 μm edge shifts toedge 0.515 µm anµadditional feature appears in the 0.6–0.8 For thin range. For thin LGISe plates of light yellow color, the fundamental absorption edge shifts to 0.42 µm range. For thin LGISe plates of light yellow color, the fundamental absorption edge shifts to 0.42 μm LGISe plates of light yellow color, the fundamental absorption edge shifts to 0.42 µm at 300 K and to at 300 K at and to K (Figure at 0.395 300 Kµm and to800.395 µ m µm at3). 80atK80(Figure 3). 3). K 0.395 (Figure 80 transmission [%] 1 60 40 20 2a 2b 1a 1b 0 0.4 0.6 0.8 2 4 6 wavelength [µm] 8 10 12 Figure 3. Unpolarized transmisson spectra of LiGa0.5 In0.5 Se2 crystals, 7 mm (1) and 60 µm (2) Figure 3. Unpolarized transmisson spectra of LiGa 0.5Se In20.5crystals, Se2 crystals, 7 mm (1) and (2) thick. Figure 3. Unpolarized transmisson spectra of LiGa 0.5In0.5 7 mm (1) and 60 µ60 m µm (2) thick. thick. Fragments 1a and 1b were recorded at 300 K in areas of yellow and pink color, respectively. Fragments 1a and 1b were recorded at 300 in areas of yellow color, respectively. Fragments 1a and 1b were recorded at 300 K inK areas of yellow and and pinkpink color, respectively. Fragments 2a and 2b were recorded for a 60 µm thick light yellow plate at 80 and 300 K, respectively. Fragments 2a and 2b were recorded 60 thick µm thick yellow 80 and 300respectively. К, respectively. Fragments 2a and 2b were recorded for afor 60 aμm lightlight yellow plateplate at 80atand 300 К, The band-gap was estimated from measurements of the absorption coefficient α with a 60 µm thin band-gap estimated from measurements of the absorption coefficient α with 60 µm TheThe band-gap waswas estimated from measurements of the absorption coefficient α with a 60aμm plate of LGISe, Figure 4. From linear fits of the (αhν)2 dependence on hν (the case of direct allowed 2 dependence on hν (the case of direct 2 dependence plate of LGISe, Figure 4. From linear of the (αhν) thinthin plate of LGISe, Figure 4. From linear fits fits of the (αhν) on hν (the case of direct transitions between parabolic bands) one arrives at 2.94 eV at 300 K which corresponds to 0.42 µm. allowed transitions between parabolic bands) arrives at 2.94 eV300 at 300 К which corresponds allowed transitions between parabolic bands) one one arrives at 2.94 eV at К which corresponds to to At 80 K, the band-gap Eg is 3.04 eV. For comparison, the band-gaps of LGSe and LISe are 3.34 and AtK, 80the K, the band-gap is 3.04 comparison, band-gaps of LGSe 0.420.42 μm.µm. At 80 band-gap Eg isEg3.04 eV. eV. For For comparison, the the band-gaps of LGSe andand LISeLISe are are 2.86 eV, respectively [1,6]. It is necessary to note that the Eg value for LGISe is closer to LISe than to respectively [1,6]. is necessary to note Eg value for LGISe is closer to LISe 3.343.34 andand 2.862.86 eV, eV, respectively [1,6]. It isItnecessary to note thatthat the the Eg value for LGISe is closer to LISe LGSe. This means that the electric conductivity of LGISe should be closer to that of LISe and as a result to LGSe. means electric conductivity of LGISe should be closer to that of LISe thanthan to LGSe. ThisThis means thatthat the the electric conductivity of LGISe should be closer to that of LISe andand their response to thermal neutrons should be similar. Moreover, as mentioned before, substituting a result response to thermal neutrons should be similar. Moreover, as mentioned before, as aasresult theirtheir response to thermal neutrons should be similar. Moreover, as mentioned before, roughly half of the In-ions by Ga-ions improves the efficiency of the neutron detection. substituting roughly half of the In-ions by Ga-ions improves the efficiency of the neutron detection. substituting roughly half of the In-ions by Ga-ions improves the efficiency of the neutron detection. Crystals 2016, 6, 85 Crystals 2016, 6, 85 6 of 10 6 of 10 3.4 15 LGSe 6 of 10 band-gap [eV] 2 2 2 0 5 2.8 2.9 3.0 3.1 3.2 band-gap [eV] 2 1 10 6 -2 5 3.2 3.4 2.94 eV (300 K) 3.04 eV (80 K) 15 (αhν) [10 cm eV ] 2 1 10 6 -2 2 (αhν) [10 cm eV ] Crystals 2016, 6, 85 2.94 eV (300 K) 3.04 eV (80 K) LGSe 3.23.0 LGISe LISe 3.02.8 LISe0.0 0.2 photon energy hν [eV] 0 2.8 2.9 (a) 3.0 3.1 0.4 LGISe 0.6 0.8 1.0 x, Ga fraction 3.2 2.8 0.0 photon energy hν [eV] 0.2 0.4 (b) 0.6 0.8 1.0 x, Ga fraction Figure4. (a) 4. Fundamental (a) Fundamental absorption edge for a 60-µm-thick LGISe plate,as represented Figure (αhν)2 = f(hν),as (a)absorption edge for a 60-µm-thick LGISe plate, represented (b) 2 = f(hν), at T = 300 K (1) and 80 K (2); (b) Band-gap values for LiInSe2 (LISe), LiGaSe2 (LGSe), (αhν) at T = 300 K (1) and 80 K (2); (b) Band-gap values for LiInSe2 (LISe), LiGaSe2 (LGSe), and LGISe, derived (a) Fundamental absorption edge for a 60-µm-thick LGISe plate, represented as andFigure LGISe, 4. derived from room-temperature absorption measurements. from room-temperature absorption measurements. (αhν)2 = f(hν), at T = 300 K (1) and 80 K (2); (b) Band-gap values for LiInSe2 (LISe), LiGaSe2 (LGSe), and LGISe, derived from absorptionatmeasurements. Photoluminescence (PL)room-temperature spectra were recorded 300 and 80 K using a diffraction luminescence Photoluminescence (PL) spectra were recorded at 300 and 80 K using a diffraction luminescence spectrometer SDL1 SDL1 (LOMO JSC, St.St.Petersburg, Russia) andand a cooled FEU-83 photomultiplier (Ekran spectrometer (LOMO JSC, Petersburg, cooled FEU-83 photomultiplier Photoluminescence (PL) spectra were recorded Russia) at 300 and 80 Kausing a diffraction luminescence Optical Systems, Novosibirsk, Russia). By means ofand anofaMDR2 monochromator (LOMO JSC, St. (Ekran Optical Systems, Novosibirsk, Russia). By means an MDR2 monochromator spectrometer SDL1 (LOMO JSC, St. Petersburg, Russia) cooled FEU-83 photomultiplier(LOMO (Ekran JSC, Petersburg, Russia), different spectral ranges were selected from the 1 kW Xe lamp spectrum Optical Systems, Novosibirsk, Russia). ranges By means of an MDR2from monochromator (LOMO JSC, St. toto St. Petersburg, Russia), different spectral were selected the 1 kW Xe lamp spectrum excite PL in LGISe. Typical PL spectra recorded at 80 K for excitation with 3.1, 2.75 2.48 eV Russia), different spectral ranges at were from the 1 kW lamp to excitePetersburg, PL in LGISe. Typical PL spectra recorded 80 Kselected for excitation with 3.1,Xe 2.75 andspectrum 2.48and eV photon photon energy 450 and respectively) 500 respectively) shown in5.Figure 5. Emission occurs excite PL450 in (400, LGISe. Typical PL nm, spectra recorded at are 80inK for excitation with 3.1, 2.75 basically and 2.48 basically eV energy (400, and 500 nm, are shown Figure Emission occurs in two photon energy (400, 450 and 500eV nm, respectively) are shown in Figure 5. Emission occurs basically in two spectral ranges: 1.5 to 2.0 and 1.1 to 1.4 eV. spectral ranges: 1.5 to 2.0 eV and 1.1 to 1.4 eV. in two spectral ranges: 1.5 to 2.0 eV and 1.1 to 1.4 eV. 1.0 1.0 1.0 1.0 A Eg 0.5 C PL [a.u.] 0.5 PL [a.u.] PL [a.u.] PL [a.u.] A C Eg 0.5 0.5 2 B B 0.0 0.0 1.0 1.0 2.0 1.51.5 2.0 photon energy h ν [eV] photon energy hν [eV] (a)(a) 1 1 0.00.0 1 1 3 2 3 2 2 3 4 3 4 photon energy h ν [eV] photon energy hν [eV] 5 5 (b) (b) Figure 5. (a) PL spectra recorded with LiGa0.5In0.5Se2 crystals at 80 K for excitation at 3.1 eV (400 nm, Figure LiGa InIn Figure5.5.(a) (a)PL PLspectra spectrarecorded recordedwith with LiGa 0.5Se Se22 crystals crystals at at 80 80KKfor forexcitation excitationatat3.1 3.1eV eV(400 (400nm, nm, 0.50.5 0.5 curve A), 2.75 eV (450 nm, B), and 2.48 eV (500 nm, C). The arrows in (a) indicate the photon energies curve A), 2.75 eV (450 nm, B), and 2.48 eV (500 nm, C). The arrows inin(a) indicate the photon energies curve A), 2.75 eV (450 nm, B), and 2.48 eV (500 nm, C). The arrows (a) indicate the photon energies (hν = 1.265, 1.38, and 1.65 eV) for which the photoluminescence excitation (PLE) spectra were (hν 1.265, 1.38, and 1.65 eV) for which the photoluminescence excitationexcitation (PLE) spectra were measured; (hν= measured; = 1.265, 1.38, 1.65 eV) forLiGa which the photoluminescence (PLE) spectra were (b) 80and K PLE spectra of 0.5In0.5Se2 recorded for emission at 1.65 eV (750 nm, curve 1), (b) 80 K PLE spectra of LiGa In Se recorded for emission at 1.65 eV (750 nm, curve 1), 1.38 eV 0.5 eVof 0.5 2 nm, measured; (b) 80 K2), PLE LiGa 0.5In Se2 arrow recorded emission at 1.65 eVEg(750 1), 1.38 eV (900 nm, andspectra 1.265 (980 3).0.5The in (b)for indicates the band-gap at 80nm, К. curve (900 and 1.265 eV (980 The arrow in (b) indicates the band-gap Eg at 80 K. 1.38nm, eV 2), (900 nm, 2), and 1.265nm, eV 3). (980 nm, 3). The arrow in (b) indicates the band-gap Eg at 80 К. Table 4. Results from a Gaussian deconvolution analysis of the PL spectra of LiGa0.5In0.5Se2. Table 4. 4. Results from a Gaussian deconvolution analysis of of thethe PLPL spectra of of LiGa InIn Se Table Results from a Gaussian analysis spectra LiGa Se 0.5 0.5 0.50.5 2 .2. Positiondeconvolution of Peak Maximum FWHM # eV nm eV Position Maximum FWHM Positionof ofPeak Peak Maximum FWHM # 1.247 994 0.164 #1 eV nm eV eV nm eV 2 1.291 960 0.187 1 1.247 994 0.164 1.350 918 0.247 13 1.247 994 0.164 2 1.291 960 0.187 1.702 728 0.329 24 1.291 960 0.187 3 1.350 918 0.247 3 1.350 918 0.247 4 1.702 728 0.329 1.702 728of the PL spectra 0.329yielding four components The results from a Gaussian deconvolution analysis are summarized in Table 4: they include the peak positions in photon energies (eV) and wavelengths (nm) as wellfrom as thea full width at half-maximum (FWHM). recorded for four 3.1 eV excitation Theresults results from a Gaussian deconvolution analysis of the PLAspectra yielding four components The Gaussian deconvolution analysis of Spectrum the PL spectra yielding components are consists of components 4, 3, 2 from Table 4, whereas spectra B and C are constituted mainly by (nm) are summarized in Table 4: include they include the positions peak positions in photon energies (eV)wavelengths and wavelengths summarized in Table 4: they the peak in photon energies (eV) and (nm) as well as the full width at half-maximum (FWHM). Spectrum A recorded for 3.1 eV excitation consists of components 4, 3, 2 from Table 4, whereas spectra B and C are constituted mainly by Crystals 2016, 6, 85 7 of 10 as well as the full width at half-maximum (FWHM). Spectrum A recorded for 3.1 eV excitation consists of components 4, 3, 2 from Table 4, whereas spectra B and C are constituted mainly by components 2 and 1, respectively. The PL intensity is rather low at room temperature but it increases by two orders of magnitude as the crystal is cooled down to 80 K. Similar PL emission with a main peak near 1.8 eV has been observed in LISe [16] and LGSe. Another PL band was observed in LISe near 2.4 eV [16]: both bands, at 1.8 and 2.4 eV, were associated with a radiative recombination in donor-acceptor pairs (DAPs) [16]. Photoluminescence excitation (PLE) spectra recorded at different photon energies are shown in Figure 4b. One can see that the dominating red PL is excited most effectively in a group of narrow bands at 2.998, 3.147 and 3.275 eV (413, 394 and 378 nm, respectively). The arrow in Figure 4b marks the band-gap value of 3.04 eV for LGISe derived from the low-temperature absorption measurements. Thus, the main band near 3.2 eV in the PLE spectra of LGISe agrees well with the band-gap value and corresponds to band-to-band electronic transitions. There are no other appreciable bands in the PLE spectra for 1.7 eV emission in LGISe and this agrees with the model of DAP recombination [16]. DAP recombination takes place following band-to-band transitions when free charge carriers of different sign (electrons and holes) are generated. Subsequently these free electrons and holes are captured by traps and stay there for a long time at low temperature. At a later stage, there may be a radiative recombination between such captured charge carriers (donors and acceptors) [16]. The low energy group of PL bands near 1.25 eV is observed not only by band-to-band excitation but also by excitation in a broad band near 2.2 eV (Figure 4b, curves 2, 3). This is an indication of an intracenter PL mechanism while the 2.2 eV signal corresponds to an absorption band of some point defect (presumably a cation antisite defect). The variety of PL emission and the fine structure of the PLE spectra near 3.2 eV may be a result of several nonequivalent positions of the Li+ ions in LGISe. 4. Dispersion, Birefringence and Nonlinearity Two semiprisms (inset Figure 6a), with a reflecting face parallel to a principal plane, were prepared from LGISe (yellow color) for measurement of the three principal refractive indices by the autocollimation method. The three refractive indices were measured by the autocollimation method at 23 wavelengths between 0.48 and 12 µm [13]. The data were fitted by one-pole Sellmeier equations with quadratic IR correction term. The Sellmeier coefficients are summarized in Table 5. Figure 6a shows the measured refractive index values and the calculated curves using the fitted Sellmeier equations. Interestingly, ny and nz of LGISe exceed, in a substantial part of the mid-IR transmission range, the corresponding values for LISe (which in turn are larger than those for LGSe). Table 5. Sellmeier equations for LGISe, n2 = A + B/(λ2 ´ C) ´ Dλ2 , where λ is in µm, valid in the 0.48–12 µm range. n A B C D nx ny nz 5.03847 5.24012 5.26219 0.18748 0.21386 0.21331 0.07033 0.07033 0.07550 0.00204 0.00193 0.00209 The Sellmeier equations predict index crossing of ny and nz near the cut-off edges. However, in the major part of the transmission window the correspondence between the dielectric and crystallographic axes in the orthorhombic LGISe is xyz = bac and this relationship can be adopted for reporting the phase-matching angles (defined in the xyz frame) and the nonlinear coefficients (defined in the abc frame). This means that the two optic axes which determine the propagation directions where the index of refraction is independent of polarization move from the x–z principal plane (in the major part of the clear transmission) to the x–y plane (towards the edges). The angle Vz between the two optic axis 1{2 and the z-principal axis, is determined by sinVZ “ 2 ´n2 q n Z p nY X 1{2 nY pn2Z ´n2X q . It approaches 90˝ towards the crossing points where absorption is already substantial but in the interesting for practical applications clear transmission range the angle Vz is almost constant, around 75˝ . Thus the optically negative (Vz > 45˝ ) Crystals 2016, 6, 85 8 of 10 biaxial LGISe crystal can be regarded as quasi-uniaxial, which is a consequence of the fact8 ofthat the Crystals 2016, 6, 85 10 two indices ny and nz are very close. Therefore no phase-matching can be expected for propagation whichinisthe a consequence of x-principal the fact thataxis. the two indices ny and nz are very close. Therefore no directions vicinity of the phase-matching can be expected for propagation directions in the vicinity of the x-principal axis. 90 2.6 ny 2.5 nz fit nx 2.4 fit ny fit nz 2.3 x-z oo-e 60 45 eo-e x-y 30 15 2.2 0 75 angle θ, ϕ [°] refractive index nx 2 4 6 8 10 wavelength [µm] 12 0 oe-o 2 y-z oe-o 4 6 8 10 12 fundamental wavelength [µm] (a) (b) Figure 6. (a) Measured refractive indices of LGISe (symbols) and calculated curves using the Figure 6. (a) Measured refractive indices of LGISe (symbols) and calculated curves using the Sellmeier coefficients from Table 5 (the inset shows the semiprisms fabricated for the measurements); Sellmeier coefficients from Table 5 (the inset shows the semiprisms fabricated for the measurements); and (b) Second harmonic generation (SHG) phase-matching curves in the three principal planes of and (b) Second harmonic generation (SHG) phase-matching curves in the three principal planes of LGISe. The symbols correspond to experimental SHG points at 4.63 µm in the x–z plane and at 4.42 LGISe. The symbols correspond µm in the x–y principal plane.to experimental SHG points at 4.63 µm in the x–z plane and at 4.42 µm in the x–y principal plane. This can be seen from the second harmonic generation (SHG) phase-matching curves calculated which arebepresented in the Figure 6b. The predicted phase-matching agree very curves well with the This can seen from second harmonic generation (SHG) angles phase-matching calculated SHG measurements performed in the x–y and x–z planes with femtosecond pulses. In the x–z plane which are presented in Figure 6b. The predicted phase-matching angles agree very well with the SHG the deviation at 4.63 µm within accuracy while in the x–y pulses. plane, atInathe fundamental measurements performed in was the x–y andthe x–zcutplanes with femtosecond x–z plane the wavelength of 4.42 µm, the internal experimental phase-matching angle was roughly 1° larger than deviation at 4.63 µm was within the cut accuracy while in the x–y plane, at a fundamental wavelength the calculated one. The SHG range for the fundamental wavelength, covered by interactions in the of 4.42 µm, the internal experimental phase-matching angle was roughly 1˝ larger than the calculated principal planes that possess non-vanishing effective nonlinearity deff, extends from 1.75 to 11.8 µm. one. The SHG range for the fundamental wavelength, coveredinteractions by interactions planes Phase-matching calculations for general type three-wave in the in x–ythe andprincipal x–z planes, that possess non-vanishing effective deff , extends from 1.75 to 11.8and µm. where broad tuning can be realizednonlinearity for optical parametric generators, amplifiers oscillators were Phase-matching calculations for general type three-wave interactions in the x–yLGSe, and x–z planes, presented in [13]. As already mentioned, similar to the two parent compounds LISe and LGISe wherewill broad can beTPA realized optical parametric generators, and oscillators not tuning suffer from at a for pump wavelength of 1.064 µm andamplifiers phase matching for suchwere down-conversion is feasible in the principal planes. presented in [13]. Asnonlinear alreadyprocesses mentioned, similar to x–y theand twox–z parent compounds LISe and LGSe, In not the principal planes, theatexpressions for the effective deff ofphase LGISematching read: LGISe will suffer from TPA a pump wavelength of nonlinearity 1.064 µm and for such eoe 2 down-conversion nonlinear processes x–y principal planes. (x–yx–z plane) d eff = d effoeeis=feasible − ( d 24 sin 2 φin+ the d15 cos φ )and (1a) In the principal planes, the expressions for the effective nonlinearity deff of LGISe read: deoe ef f “ deffoeo = deffeoo = −d24 sinθ (y–z plane) “ooe´pd24 sin2 φ ` d15 cos2 φq px ´ y d eff = d 31 sin θ (x–z plane, θ < Vz) “ deoo doeo ef f e f f “ ´d24 sinθ py ´ z planeq doee ef f (1b) planeq (1c) (1a) (1b) with superscripts “o” and “e” denoting the ordinary and extraordinary beams. LGISe behaves as an optically negative uniaxial crystal in the x–y and x–z (for θ < Vz) planes, and as an optically positive (1c) dooe e f f “ d31 sinθ px ´ z plane, θ ă Vz q uniaxial crystal in the y–z plane. Under Kleinman symmetry, d15 = d31 is satisfied. with superscripts “o” and the ordinary andinvestigated extraordinary beams. The elements dil of “e” the denoting nonlinear tensor have been by SHG usingLGISe type-I behaves or type-IIas an optically negative crystal in of theLGISe. x–y and x–z (for θ < Vzpulses ) planes, and as anthe optically positive interactions in uniaxial the principal planes Since femtosecond were applied, use of very uniaxial inLGISe the y–z Under Kleinman symmetry, d15 =itdpossible thincrystal oriented andplane. reference samples (LISe and LGSe) makes to neglect the effects of 31 is satisfied. absorption, beam walk-off, and focusing with thebeen data analysis in theby low-depletion derived The elements dil of the nonlinear tensor have investigated SHG usinglimit type-I or type-II from standard plane-wave SHG theory. The conversion efficiency was kept low, and we corrected interactions in the principal planes of LGISe. Since femtosecond pulses were applied, the use of very the relative measurements only for the crystal thickness and the slightly of refraction thin oriented LGISe and reference samples (LISe and LGSe) makes it different possibleindex to neglect the effects and Fresnel reflections. Unfortunately, only for type-I interaction, the spectral acceptance of all three of absorption, beam walk-off, and focusing with the data analysis in the low-depletion limit derived samples was much larger than the spectral bandwidth of the femtosecond pulses near 4.6 µm. from standard plane-wave SHG theory. The conversion efficiency was kept low, and we corrected the relative measurements only for the crystal thickness and the slightly different index of refraction and Fresnel reflections. Unfortunately, only for type-I interaction, the spectral acceptance of all three samples was much larger than the spectral bandwidth of the femtosecond pulses near 4.6 µm. Crystals 2016, 6, 85 9 of 10 The femtosecond source at 1 kHz repetition rate was a KNbO3 -based optical parametric amplifier. The single pulse energy was in the 2–3 µJ range. The measurements were performed simultaneously with the two reference (LISe and LGSe) samples. The coefficient d31 was estimated by type-I SHG in the x–z plane from Equation (1c). The LGISe sample for SHG in the x–z plane was cut at θ = 53.6˝ and had a thickness of 0.7 mm. The reference LGSe (0.9 mm thick) and LISe (0.86 mm thick) samples were cut at θ = 56.4˝ and θ = 46.7˝ , respectively. We obtained d31 (LGISe) = 0.94d31 (LISe) and d31 (LGISe) = 1.03d31 (LGSe). The ratio of the nonlinear coefficients of LISe and LGSe was 1.1, close to the ratio of 1.19 estimated at 2.3 µm from previous measurements [2,6]. Thus, it can be concluded that within the experimental accuracy, ˘10% in the relative measurements, LGISe has nonlinearities of the same order of magnitude as the other two selenide compounds. While similar measurements were also performed for type-II SHG in the x–y plane to determine d24 from Equation (1a), the thickness of the samples did not permit reliable estimation because the spectral acceptance was not sufficient in order to consider samples of different thickness unaffected by this factor. 5. Conclusion LGISe, a new quaternary nonlinear crystal for the mid-IR grown as a solid-solution in the system of the two ternary lithium selenides LGSe and LISe, exhibits the same orthorhombic structure (mm2) as the parent compounds but is more technological with regard to the growth process since its homogeneity range is broader in the phase diagram. It is transparent between 0.47 and 13 µm with a band-gap of 2.94 eV at room temperature. The Sellmeier equations, constructed on the basis of refractive index measurements, reproduce well SHG phase-matching angles in the principal dielectric planes. The fundamental wavelength range for the SHG process extends from 1.75 to 11.8 µm. The second-order nonlinearity of LGISe has an intermediate value, between those of LGSe and LISe. Since the band-gap of LGISe is much closer to that of LISe, the electrical conductivity and response to thermal neutrons are expected to be also similar. Additional gain in efficiency for thermal neutron detection is expected due to substitution of half of the 115 In ions by Ga and the resulting weakening of the competing interaction mechanism with the neutrons. Intense DAP luminescence allows one to use LGISe also as a scintillator for detection of thermal neutrons. Acknowledgments: We thank Sergey F. Solodovnikov for the X-ray structural analysis and Vladimir L. Panyutin for the useful discussions and his help in the SHG experiments and in the preparation of this manuscript. This work was supported by the Russian Foundation of Basic Research (Grant No. 15-02-03408a). Author Contributions: Ludmila Isaenko and Alexander Yelisseyev conceived and realized the structural studies, the transmission and photoluminescence measurements; Sergei Lobanov and Pavel Krinitsyn grew the crystals, Vitaliy Vedenyapin performed the refractive index measurements and analyzed the phase-matching; Valentin Petrov studied the SHG and determined the nonlinear coefficients; Ludmila Isaenko, Alexander Yelisseyev and Valentin Petrov wrote the paper. Conflicts of Interest: The authors declare no conflict of interest. The founding sponsors had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results. Abbreviations The following abbreviations are used in this manuscript: LGSe LISe LGISe TPA PL PLE FWHM DAP SHG LiGaSe2 LiInSe2 LiGa0.5 In0.5 Se2 two-photon absorption photoluminescence photoluminescence excitation full width at half-maximum donor-acceptor pair second harmonic generation Crystals 2016, 6, 85 10 of 10 References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. Isaenko, L.; Yelisseyev, A.; Lobanov, S.; Titov, A.; Petrov, V.; Zondy, J.-J.; Krinitsin, P.; Merkulov, A.; Vedenyapin, V.; Smirnova, J. Growth and properties of LiGaX2 (X = S, Se, Te) single crystals for nonlinear optical applications in the mid-IR. Cryst. Res. Technol. 2003, 38, 379–387. [CrossRef] Petrov, V.; Yelisseyev, A.; Isaenko, L.; Lobanov, S.; Titov, A.; Zondy, J.-J. Second harmonic generation and optical parametric amplification in the mid-IR with orthorhombic biaxial crystals LiGaS2 and LiGaSe2 . Appl. Phys. B 2004, 78, 543–546. 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