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Article

AgGaGeSe4: An Infrared Nonlinear Quaternary Selenide with Good Performance

1
College of Chemistry and Chemical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
2
Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China
3
State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, China
*
Author to whom correspondence should be addressed.
Symmetry 2022, 14(7), 1426; https://doi.org/10.3390/sym14071426
Submission received: 14 February 2022 / Revised: 16 May 2022 / Accepted: 1 June 2022 / Published: 12 July 2022
(This article belongs to the Special Issue Advances in Nonlinear Optics and Symmetry)

Abstract

:
The symmetry of crystals is an extremely important property of crystals. Crystals can be divided into centrosymmetric and non-centrosymmetric crystals. In this paper, an infrared (IR) nonlinear optical (NLO) material AgGaGeSe4 was synthesized. The related performance analysis, nonlinear optical properties, and first-principle calculation of AgGaGeSe4 were also introduced in detail. In the AgGaGeSe4 structure, Ge4+ was replaced with Ga3+ and produced the same number of vacancies at the Ag+ position. The low content of Ge doping kept the original chalcopyrite structure and improved its optical properties such as the band gap. The UV-Vis diffuse reflection spectrum shows that the experimental energy band gap of AgGaGeSe4 is 2.27 eV, which is 0.48 eV larger than that of AgGaSe2 (1.79 eV). From the perspective of charge-transfer engineering strategy, the introduction of Group IV Ge elements into the crystal structure of AgGaSe2 effectively improves its band gap. The second harmonic generation (SHG) effect of AgGaGeSe4 is similar to that of AgGaSe2, and at 1064 nm wavelength, the birefringence of AgGaGeSe4 is 0.03, which is greater than that of AgGaSe2 (∆n = 0.02). The results show that AgGaGeSe4 possessed better optical properties than AgGaSe2, and can been broadly applied as a good infrared NLO material.

1. Introduction

Infrared lasers have been widely used in the civil and military fields and are generally obtained by converting the frequency of a laser light source from infrared nonlinear optical materials [1,2,3,4,5,6]. With the development of science and technology, infrared nonlinear optical crystal materials have been popularized in the applications. Demand for the requirements of infrared nonlinear optical crystal materials has emerged in the practical use. At present, many crystals can achieve frequency conversion in principle, but in fact, only few crystals, such as AgGaS2, AgGaSe2, and ZnGeP2, are commercially mature [7,8,9]. Although the application of chalcopyrite infrared crystals has been promoted via the progress of high-quality crystal growth and processing technology, these infrared crystals still have shortcomings in terms of their properties, for instance, the low laser damage threshold of AgGaS2 and AgGaSe2, the small band gap of AgGaSe2 (1.79 eV), and the serious two-photon absorption of ZnGeP2 [10,11,12]. All these existing problems limit their wide application.
Generally, the second harmonic generation is generated by non-centrosymmetric crystals, and a large energy band gap benefits from improving the laser damage threshold and the transparency of nonlinear optical crystals [13,14,15]. This is not only of great significance to the functional optimization of infrared nonlinear optical crystals but also has an important impact on the reasonable structural design of other functional materials with a broad band gap [16,17,18,19,20,21]. Therefore, the exploration of infrared nonlinear optical crystal materials with excellent properties, such as large band gap, high laser damage threshold, and good nonlinear optical effect, remains challenging [22,23,24,25]. In order to overcome this problem, researchers have carried out a lot of experimental exploration work. Through continuous exploration and research, it is found that the introduction of lighter Group IV Si and Ge elements can effectively enhance their band gap [26,27,28,29,30,31,32,33,34,35,36,37]. For example, the energy band gap of the synthesized Ag3Ga3SiSe8 compound is 2.30 eV, which is larger than that of AgGaSe2 [38]. The energy band gap of the synthesized AgGaGe5Se12 compound is 2.20 eV, which is larger than that of AgGaSe2 [39,40].
In 1980, O.H. Hughes et al. synthesized AgGaGeSe4 powder by adding the Ge element on the basis of AgGaSe2 [41]. However, there is no comprehensive investigation of the synthesis of AgGaGeSe4 crystal and its related performance analysis, nonlinear optical properties, and first-principle calculation. In this work, the AgGaGeSe4 crystal with a tetragonal chalcopyrite structure was synthesized by introducing lighter Group IV Ge elements in the AgGaSe2 crystal, and the corresponding performance was tested and analyzed. The nonlinear optical properties and first-principle calculation were also investigated in detail. In addition, the band gap of AgGaGeSe4 was analyzed and discussed by using a charge-transfer engineering strategy.

2. Experimental Section

2.1. Synthetic Samples

The synthesis of AgGaGeSe4 powder samples consists of two steps. In the first step, ternary AgGaSe2 and binary GeSe2 were prepared by high-temperature solid-state synthesis technology with Ag 99.9%, Ga 99.9%, Ge 99.9%, and Se 99.9% as raw materials. The elements were loaded into silica glass tubes with the required stoichiometry and sealed with hydrogen at a vacuum pressure of less than 10−3 Pa. The annealing temperature of AgGaSe2 was 900 °C and that of GeSe2 was 680 °C. The second step is to mix an appropriate amount of AgGaSe2 and GeSe2 in a molar ratio of 1:1 in a glove box filled with argon, put them into a silica glass tube, and seal them with hydrogen under a vacuum pressure of less than 10−3 Pa. Then, put them into a computer-controlled muffle furnace, set the program to heat it to 950 °C for 20 h, keep it at this temperature for 10 h, and then cool it to room temperature. The reaction was repeated three times and ground intermittently to synthesize the quaternary compound of AgGaGeSe4.

2.2. Single Crystal Growth

Mix an appropriate amount of AgGaSe2 and GeSe2 in a molar ratio of 1:1 in a glove box filled with argon, put them into a silica glass tube, and seal them with hydrogen under a vacuum pressure of less than 10−3 Pa. Then, put them into the computer-controlled muffle furnace, set the program to heat it to 900 °C for 20 h, keep it at this temperature for 24 h, cool it to 600 °C at the rate of 3 °C per hour, and then cool it to room temperature to obtain the single crystal of AgGaGeSe4.

2.3. Determination of Crystal Structure

A high-quality single crystal was firstly selected under an electron microscope. The crystal structure data of AgGaGeSe4 was collected and analyzed by using a Bruker single-crystal diffractometer (Billerica, MA, USA) equipped with graphite-monochromatized Mo Kα radiation (λ = 0.71073 Å). It should be noted that the voltage and current of the X-ray tube were set at 50 kV and 30 mA, respectively. The SHELXTL [42,43] software package (Cambridge, UK) was used to solve the crystal structure directly, and the matrix least square method was used to refine the structure of AgGaGeSe4. The related crystal structure data and specific details are summarized in Tables S1 and S2.

2.4. Energy Dispersive X-ray Spectrometer

Energy dispersive X-ray spectrometer (EDS) testing was performed on an Oxford NT 80 instrument (Oxford, UK), and the result showed that the atomic ratio of Ag, Ga, Ge, and Se in AgGaGeSe4 are 14.59%, 17.42%, 14.94%, and 53.06% (Figure S1).

2.5. UV-Vis Diffuse Reflectance Spectroscopy Analysis

The diffuse reflectance spectra of the AgGaGeSe4 powder were tested by a Shimadzu UV-3600 spectrophotometer (Shimadzu, Kyoto, Japan) with a test range of 200–1500 nm. BaSO4 powder was chosen to be the 100% reflectance standard.

2.6. Second Harmonic Generation Measurement

A 2 μm Q-switch laser was used to measure the SHG response of the AgGaGeSe4 power sample with a particle size of 70–90 μm by the Kurtz–Perry method. At the same time, the reference material was a powder sample of AgGaSe2 with the same particle size.

2.7. X-ray Photoelectron Spectroscopy (XPS)

Use Al Kα (hv = 1487 eV), accept XPS with an average of 5 scans and an energy step of 0.05 eV, collect XPS data under the acceleration voltage of 13 kv and the emission current of 9 mA, and take the carbon signal with a binding energy of 284.8 eV as the reference for displacement correction. The XPS survey scan data of AgGaGeSe4 is shown in Figure S2 and Table S3.

2.8. Theoretical Calculation

We optimized the structure using the first-principle calculation method. The first-principle calculation of the electronic structures in AgGaGeSe4 were performed by the plane-wave pseudopotential method implemented in the CASTEP [44] package based on the density functional theory (DFT) [45,46]. The Perdew–Burk–Ernzerhorf (PBE) function of the general gradient approximation (GGA) and the local density approximation (LDA) Ceperley–Alder (CA) approach form was used to describe the exchange-correlation energy [47,48,49]. To deal with the interaction between the atomic kernel and valence electrons accurately, the optimized norm-conserving pseudopotential [50] was chosen. Ag 5s14d10, Ga 4s24p13d10, Ge 4s24p2, and Se 4s24p4 were treated as valence electrons, which allowed us to employ a relatively small basis set without compromising the computational accuracy. The kinetic energy cutoff 650 eV and the intensive Monkhorst–Pack [51] k-points 2 × 2 × 2 mesh guarantee the reliability of our results. The refractive index (n) was determined using the Kramers–Kronig transform [52].

3. Results and Discussion

3.1. Crystal Structure

AgGaGeSe4 has a a tetragonal chalcopyrite structure (I 4 ¯ 2d) and is a non-centrosymmetric crystal with second harmonic generation. The cell parameters of AgGaGeSe4 are a = 5.8056(5) Å, α = 90°, b = 5.8056(5) Å, β = 90°, c = 10.3488(10) Å, and γ = 90°, V = 348.81(7) Å3. The crystal structure diagram is shown in Figure 1. In this structure, Ge4+ replaces Ga3+, and an equivalent number of vacancies were generated at the Ag+ position [53,54]. Then, Ag+ was rearranged and filled in the tetrahedral vacancy to complete the charge compensation mechanism. Ag atoms and Ge/Ga atoms are, respectively, connected with four Se atoms to form AgSe4 and (Ge/Ga)Se4 tetrahedral structures, and then AgSe4 and (Ge/Ga)Se4 tetrahedrons are connected through common vertices to form a three-dimensional frame structure.

3.2. Powder XRD Pattern

The XRD patterns of polycrystalline products were collected by using the automatic Bruker D2-206918 X-ray diffractometer. XRD simulation was carried out by findit software. According to the single-crystal crystallographic data of AgGaGeSe4, the powder X-ray diffraction pattern obtained from the experiment coincided quite well with the simulated pattern (Figure 2).

3.3. Optical Properties

The band gap of AgGaGeSe4 was measured by the UV-Vis diffuse reflection method. As shown in Figure 3, the diffuse spectrum of AgGaGeSe4 using the upper tangent method [55,56] has a band gap of AgGaGeSe4 is 2.27 eV, and its absorption edge is 546 nm. In addition, the direct band gap of AgGaGeSe4 obtained by the Tauc method was 2.01 eV (Figure S3), which was larger than that of commercial AgGaSe2 (1.79 eV) and larger than that of Kim et al. [26] 1.862 eV and Goodchild et al. [27] 1.85 eV. This may be related to different test methods and different sample purities. Obviously, introducing light Group IV Ge elements into the crystal structure of AgGaSe2 effectively improved the band gap of AgGaGeSe4. It is widely acknowledged that the energy band gap of crystals is closely related to the laser damage threshold and approximately matches the exponential relationship. The large band gap generally helps to improve the laser damage of crystal materials and avoid two-photon absorption. Our results showed that the optical properties of the crystal were significantly enhanced compared with AgGaSe2. AgGaGeSe4 may have a larger laser damage threshold and can be potentially applied in the field of nonlinear optics.
The SHG intensity comparison between the AgGaGeSe4 sample and AgGaSe2 were conducted by using a 2.0 μm laser radiation. The test results showed that AgGaGeSe4 has a similar SHG effect to AgGaSe2 (Figure S4). This can be ascribed to the fact that AgGaGeSe4 and AgGaSe2 have a similar three-dimensional dense structure.

3.4. Theoretical Calculation and Analysis

The band gaps of AgGaGeSe4 calculated by the general gradient approximation (GGA) and the local density approximation (LDA) Ceperley–Alder (CA) approach are 1.207 eV (Figure 4) and 1.25 eV (Figure S5), respectively. The calculation results of the two methods are similar and are lower than the experimentally measured band gap (2.27 eV). Meanwhile, Figure 5 showed the projected density of states (DOS) and the partial density of states (PDOS) of the constituent atoms of AgGaGeSe4. The results demonstrated that the top of the valence band (VB) of AgGaGeSe4 is occupied by the hybrid orbitals of Ag (4d) and Se (4p). The bottom of the conduction band (CB) consists entirely of atomic orbitals (Ag (5s), Ga (4s4p), Ge (4s4p), and Se (4s4p) orbitals). Therefore, the band gap of the AgGaGeSe4 crystal can be evaluated by the electronic transitions in Ag-Se and (Ge/Ga)-Se groups. In AgGaSe2, the Ag 4d orbital is located at the top of the valence band (the energy of the 4d orbital is from ~−5.0 to ~−2.0), which increases the maximum energy level of the valence band. Compared with AgGaGeSe4, the Ag orbital is located in the deeper valence band (the energy of 4d orbital is from ~−4.0 to ~−3.0), which has no effect on the band gap. From the perspective of atomic electronegativity and the charge-transfer engineering strategy, the band gap of AgGaGeSe4 was determined by an electrostatic interaction between an anion Se2− and two cations Ag+ and Ge4+, and the induction effect of Ge on Ag-Se bond can be qualitatively evaluated by the electronegativity difference between Ag and Ge. The electronegativity of Ge (about 2.01) is greater than that of Ag (about 1.90); this led to the charge transfer from AgSe4 tetrahedron to (Ge/Ga)Se4 tetrahedron, which weakened the covalence of Ge-Se bond and increased the band gap of AgGaGeSe4. Therefore, the band gap of AgGaGeSe4 is larger than that of AgGaSe2.
The first-principle-calculation of the refractive index in AgGaGeSe4 was performed by the plane-wave pseudopotential method implemented in the CASTEP [44] package based on the density functional theory (DFT) [45,46]. The Perdew–Burk–Ernzerhorf (PBE) function of the general gradient approximation (GGA) form was used to describe the exchange-correlation energy [47,48,49]. The kinetic energy cutoff 650 eV and intensive Monkhorst–Pack [51] k-points 2 × 2 × 2 mesh guarantee the reliability of our calculating results. The refractive index (n) was determined using the Kramers–Kronig transform [52]. Calculate the polarization spectra of the optical dielectric function; Figure S6 is the real part Ɛ1 of the dielectric function of AgGaGeSe4, and Figure S7 is the imaginary part Ɛ2 of the dielectric function of AgGaGeSe4. The results showed that the optical birefringence of the crystal is ∆n > 0.03 (as shown in Figure 6), greater than the birefringence of AgGaSe2 (∆n = 0.02), and phase matching can be achieved at 3000 nm to meet the phase-matching conditions of SHG in the IR region. In further research, we will try to synthesize large and high-quality AgGaGeSe4 single crystals and measure their birefringence.

4. Conclusions

In this paper, the AgGaGeSe4 crystal with a tetragonal chalcopyrite structure was synthesized by introducing lighter Group IV Ge elements to the crystal of AgGaSe2. In the AgGaGeSe4 structure, Ge4+ replaces Ga3+ to produce an equal number of vacancies at the Ag+ position. AgSe4 and (Ge/Ga)Se4 tetrahedrons were connected by common vertices to form a three-dimensional frame structure. From the diffuse reflection spectrum, the band gap width of AgGaGeSe4 increased from 1.79 eV of AgGaSe2 to 2.27 eV. The introduction of light Group IV Ge elements into the crystal structure of AgGaSe2 effectively improves the band gap of AgGaGeSe4. According to the calculated PDOS diagram analysis, the optical performance parameters of the AgGaGeSe4 crystal largely depend on the Ag-Se and (Ge/Ga)-Se groups. The structural calculation showed that in the 1064 nm wavelength, the birefringence of AgGaGeSe4 is 0.03, which is greater than that of AgGaSe2 (∆n = 0.02). In addition, AgGaGeSe4 has an SHG effect comparable to AgGaSe2. The low content of Group IV Ge doping maintains its original chalcopyrite structure and improves its band gap and other optical properties. Therefore, compared with the traditional AgGaSe2 crystal materials, many properties of the AgGaGeSe4 crystal have been significantly improved. The addition of the Ge element not only improves the band gap of the material but also improves the birefringence of the material. A large band gap helps to enhance the laser damage threshold of the crystal and improve its transmittance to avoid two-photon absorption. Therefore, AgGaGeSe4 is an excellent new infrared nonlinear optical material with great potential for application in infrared nonlinear optics.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/sym14071426/s1. Figure S1: EDS analyses of AgGaGeSe4; Figure S2: XPS survey scan data of AgGaGeSe4; Figure S3: Tauc plot of direct band gap in AgGaGeSe4; Figure S4: The SHG intensity of a AgGaGeSe4 sample compared to that of AgGaSe2 using a 2.0 μm laser; Figure S5: The calculated band structure of AgGaGeSe4 using the local density approximation (LDA) Ceperley–Alder (CA) approach; Figure S6: The real part ε1 of dielectric function of AgGaGeSe4; Figure S7: The imaginary part ε2 of dielectric function of AgGaGeSe4; Table S1: Crystallographic data and details of structure refinement for AgGaGeSe4; Table S2: Selected bond lengths (Å) and angles (deg) of AgGaGeSe4; Table S3: Binding energy values of constituent element core-level electrons of AgGaGeSe4.

Author Contributions

Conceptualization, J.D. and D.M.; theoretical calculation, N.W. and Z.L.; writing—original draft preparation, J.D.; writing—review and editing, J.D. and D.M.; and supervision, D.M., J.Y. and Y.W. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Natural Science Foundation of China (51972208).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

CCDC 2151148 contains the supplementary crystallographic data for this paper. These data can be obtained free of charge via www.ccdc.cam.ac.uk/data_request/cif or by emailing [email protected]. Other data generated or analyzed during this study are included in this published article.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. The structure of AgGaGeSe4.
Figure 1. The structure of AgGaGeSe4.
Symmetry 14 01426 g001
Figure 2. The powder X-ray diffraction patterns of AgGaGeSe4.
Figure 2. The powder X-ray diffraction patterns of AgGaGeSe4.
Symmetry 14 01426 g002
Figure 3. The diffuse spectrum of AgGaGeSe4 using the upper tangent method.
Figure 3. The diffuse spectrum of AgGaGeSe4 using the upper tangent method.
Symmetry 14 01426 g003
Figure 4. The calculated band structure of AgGaGeSe4 using the GGA method.
Figure 4. The calculated band structure of AgGaGeSe4 using the GGA method.
Symmetry 14 01426 g004
Figure 5. The partial density of states projected on respective atoms in AgGaGeSe4 using the GGA method.
Figure 5. The partial density of states projected on respective atoms in AgGaGeSe4 using the GGA method.
Symmetry 14 01426 g005
Figure 6. The calculated refractive index of AgGaGeSe4.
Figure 6. The calculated refractive index of AgGaGeSe4.
Symmetry 14 01426 g006
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Dang, J.; Wang, N.; Yao, J.; Wu, Y.; Lin, Z.; Mei, D. AgGaGeSe4: An Infrared Nonlinear Quaternary Selenide with Good Performance. Symmetry 2022, 14, 1426. https://doi.org/10.3390/sym14071426

AMA Style

Dang J, Wang N, Yao J, Wu Y, Lin Z, Mei D. AgGaGeSe4: An Infrared Nonlinear Quaternary Selenide with Good Performance. Symmetry. 2022; 14(7):1426. https://doi.org/10.3390/sym14071426

Chicago/Turabian Style

Dang, Junhui, Naizheng Wang, Jiyong Yao, Yuandong Wu, Zheshuai Lin, and Dajiang Mei. 2022. "AgGaGeSe4: An Infrared Nonlinear Quaternary Selenide with Good Performance" Symmetry 14, no. 7: 1426. https://doi.org/10.3390/sym14071426

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