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<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1259000</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2023.1259000</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The synthesis of novel lanthanum hydroxyborate at extreme conditions</article-title>
<alt-title alt-title-type="left-running-head">Ibragimova et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fchem.2023.1259000">10.3389/fchem.2023.1259000</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ibragimova</surname>
<given-names>Olga</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2378333/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Vaquero</surname>
<given-names>Lia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Hussein</surname>
<given-names>Zain</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Drozd</surname>
<given-names>Vadym</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<contrib contrib-type="author">
<name>
<surname>Chariton</surname>
<given-names>Stella</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Prakapenka</surname>
<given-names>Vitali</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chuvashova</surname>
<given-names>Irina</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2252213/overview"/>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Chemistry and Biochemistry</institution>, <institution>Florida International University</institution>, <addr-line>Miami</addr-line>, <addr-line>FL</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Physics Department</institution>, <institution>Florida International University</institution>, <addr-line>Miami</addr-line>, <addr-line>FL</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Mechanical and Materials Engineering</institution>, <institution>Florida International University</institution>, <addr-line>Miami</addr-line>, <addr-line>FL</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Center for Advanced Radiation Sources</institution>, <institution>The University of Chicago</institution>, <addr-line>Chicago</addr-line>, <addr-line>IL</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2082249/overview">Gunter Heymann</ext-link>, University of Innsbruck, Austria</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2380272/overview">Hubert Huppertz</ext-link>, University of Innsbruck, Austria</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2385046/overview">Miriding Mutailipu</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Irina Chuvashova, <email>irina.chuvashova@fiu.edu</email>; Olga Ibragimova, <email>oibra005@fiu.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1259000</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>09</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ibragimova, Vaquero, Hussein, Drozd, Chariton, Prakapenka and Chuvashova.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ibragimova, Vaquero, Hussein, Drozd, Chariton, Prakapenka and Chuvashova</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The novel structure of lanthanum hydroxyborate La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> was synthesized by the reaction of partially hydrolyzed lanthanum and boron oxide in a diamond anvil cell under high-pressure/high-temperature (HPHT) conditions of 30&#xa0;GPa and &#x223c;2,400&#xa0;K. The single-crystal X-ray structure determination of the lanthanum hydroxyborate revealed: <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mover accent="true">
<mml:mn>3</mml:mn>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>c</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>a</italic> &#x3d; 6.555(2)&#xa0;&#xc5;, <italic>c</italic> &#x3d; 17.485(8)&#xa0;&#xc5;, Z &#x3d; 6, R<sub>1</sub> &#x3d; 0.056. The three-dimensional structure consists of discrete planar BO<sub>3</sub> groups and three crystallographically different La ions: one is surrounded by 9, one by 10, and one by 12 oxygen anions. The band gap was estimated using <italic>ab initio</italic> calculations to be 4.64&#xa0;eV at ambient pressure and 5.26&#xa0;eV at 30&#xa0;GPa. The current work describes the novel HPHT lanthanum hydroxyborate with potential application as a deep-ultraviolet birefringent material.</p>
</abstract>
<kwd-group>
<kwd>high pressure</kwd>
<kwd>high temperature</kwd>
<kwd>synthesis</kwd>
<kwd>birefringence</kwd>
<kwd>lanthanum borate</kwd>
<kwd>rare-earth borates</kwd>
<kwd>new compound</kwd>
<kwd>diamond anvil cell</kwd>
</kwd-group>
<contract-sponsor id="cn001">Florida International University<named-content content-type="fundref-id">10.13039/100007681</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Solid State Chemistry</meta-value>
</custom-meta>
</custom-meta-wrap>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In recent decades, borates have garnered significant interest as versatile materials due to their varied crystal structures, impressive linear and nonlinear optical (NLO) properties, and favorable machining characteristics (<xref ref-type="bibr" rid="B7">Chen et al., 1995</xref>; <xref ref-type="bibr" rid="B59">Wu et al., 1996</xref>; <xref ref-type="bibr" rid="B8">Ch&#xe9;nais et al., 2002</xref>; <xref ref-type="bibr" rid="B28">Jia et al., 2017</xref>; <xref ref-type="bibr" rid="B61">Zou and Ok, 2020</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2022</xref>). Notably, considerable research efforts have been devoted to the development of novel borate-based birefringent materials for potential application in the deep-ultraviolet (DUV) region (longer wavelength portion of UV-C; 190&#xa0;nm &#x2264; &#x3bb;<sub>0</sub> &#x2264; 280&#xa0;nm; 4.43&#xa0;eV &#x2264; E<sub>0</sub> &#x2264; 6.53&#xa0;eV) (<xref ref-type="bibr" rid="B60">Zhang et al., 2020</xref>).</p>
<p>Despite the different principles in crystal symmetries of NLO and birefringent materials, sufficiently large optical anisotropy plays a crucial role in the applications for both types (<xref ref-type="bibr" rid="B18">Guo et al., 2022</xref>). It is widely recognized that the small double refraction of NLO crystals limits their ability to achieve the shortest phase-matching wavelength, thereby negatively affecting potential applications in the DUV region (<xref ref-type="bibr" rid="B30">Jiang et al., 2015</xref>). Birefringent materials play an important role in modulating light polarization in the optical communication and laser industries (<xref ref-type="bibr" rid="B34">Li and Ma, 2012</xref>). Several commercially available crystals like calcite (<xref ref-type="bibr" rid="B14">Ghosh, 1999</xref>), YVO<sub>4</sub> (<xref ref-type="bibr" rid="B9">DeShazer, 2002</xref>), &#x3b1;-BaB<sub>2</sub>O<sub>4</sub> (<xref ref-type="bibr" rid="B19">Guoqing et al., 1998</xref>; <xref ref-type="bibr" rid="B52">Solntsev et al., 2002</xref>), and MgF<sub>2</sub> (<xref ref-type="bibr" rid="B10">Dodge, 1984</xref>) have found utility in the optical spectrum spanning from the infrared (IR) to the UV range with wavelengths below 400&#xa0;nm. However, these four compounds are not suitable for application in the DUV region because:<list list-type="simple">
<list-item>
<p>&#x2022; The low transmittance in the DUV range of &#x3b1;-BaB<sub>2</sub>O<sub>4</sub>, calcite, and YVO<sub>4</sub> restricts their application in shorter-wavelength regions;</p>
</list-item>
<list-item>
<p>&#x2022; An extremely small birefringence (&#x394;n &#x3d; 0.0128 at 235.7&#xa0;nm) limits the application of MgF<sub>2</sub> in the DUV region (<xref ref-type="bibr" rid="B48">Scott, 1962</xref>; <xref ref-type="bibr" rid="B10">Dodge, 1984</xref>).</p>
</list-item>
</list>
</p>
<p>Consequently, an ideal crystal must possess high transmittance in the DUV range, large birefringence (&#x394;n &#x3e; 0.08) (<xref ref-type="bibr" rid="B16">Gong et al., 2020</xref>), and a short UV cutoff edge (the smaller the better) (<xref ref-type="bibr" rid="B18">Guo et al., 2022</xref>). Today, the scarcity of such materials meeting these criteria underscores the importance of exploring novel DUV crystals with substantial birefringence.</p>
<p>In terms of borates, there are three basic groups that form unique structures: linear BO<sub>2</sub>, trigonal-planar BO<sub>3</sub> and tetrahedral BO<sub>4</sub>, which occur as discrete oxyanions or polymerize to form finite clusters, chains, sheets, and frameworks. Anionic group theory gives the understanding of structure-property relationships. The key factor that affects optical properties is if the anionic unit is capable to produce a wide band gap, high polarizability anisotropy, and hyperpolarizability (<xref ref-type="bibr" rid="B26">Huang et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Mutailipu et al., 2021</xref>). The triangle &#x3c0;-conjugated BO<sub>3</sub> group has the largest hyperpolarizability (&#x3b2;<sub>max</sub> &#x3d; 10.80) among BO<sub>2</sub> (&#x3b2;<sub>max</sub> &#x3d; 0) and BO<sub>4</sub> (&#x3b2;<sub>max</sub> &#x3d; 3.61), and a good relation between the other two parameters: band gap (E<sub>g</sub> &#x3d; 8.48&#xa0;eV) and polarizability anisotropy (<italic>&#x3b4;</italic> &#x3d; 7.01) (<xref ref-type="bibr" rid="B40">Mutailipu et al., 2021</xref>). The birefringence originates from the dependence of dipole oscillators and refractive index, and it can be considered as a result of the functional unit`s arrangement (<xref ref-type="bibr" rid="B56">Wang F. et al., 2021</xref>). Therefore, the solution for the large optical anisotropy lies in metal cations and the type of functional anion (<xref ref-type="bibr" rid="B31">Jin et al., 2021</xref>). The metal cations can form MO<sub>n</sub> polyhedra with large deformability and thereby increase the optical anisotropy (<xref ref-type="bibr" rid="B58">Wu et al., 2019</xref>). But with the positive influence on birefringence, there is a negative effect on DUV transmittance: the crystals with big metal cations have a smaller band gap and as a consequence may hardly transmit in the DUV spectral region. The birefringence is not sensitive to the exact orientation of the BO<sub>3</sub> groups because it is almost optically isotropic within the BO<sub>3</sub> plane (<xref ref-type="bibr" rid="B6">Chen et al., 2012</xref>). It was shown that all borates crystal structures with only triangle borate groups could be divided into three structural types according to the arrangement of these groups: 1) the BO<sub>3</sub> planes arranged in a nearly coplanar pattern, 2) in a coaxial pattern, 3) and in the other inclined patterns (<xref ref-type="bibr" rid="B30">Jiang et al., 2015</xref>). The crystals with coplanar arrangement generally have the largest birefringence, while those with disordered patterns have the smallest (<xref ref-type="bibr" rid="B29">Jiang et al., 2014</xref>; <xref ref-type="bibr" rid="B36">Lin et al., 2014</xref>).</p>
<p>Along with alkali and transition metals borates, rare-earth (RE) borates (and lanthanum borates in particular) have raised significant interest due to their stable physical and chemical properties, wide bandwidth, and good light transmittance. The system La-B-O is represented by several compositionally different borates: &#x3bb;-LaBO<sub>3</sub> (<xref ref-type="bibr" rid="B47">Sari et al., 2017</xref>), high-temperature modification H-LaBO<sub>3</sub>, LaB<sub>3</sub>O<sub>6</sub> (ambient pressure), and its two high-pressure modifications &#x3b3;-LaB<sub>3</sub>O<sub>6</sub> (<xref ref-type="bibr" rid="B11">Emme et al., 2004</xref>) and &#x3b4;-LaB<sub>3</sub>O<sub>6</sub> (<xref ref-type="bibr" rid="B22">Heymann et al., 2006</xref>), La<sub>4</sub>B<sub>14</sub>O<sub>27</sub> (<xref ref-type="bibr" rid="B41">Nikelski et al., 2008</xref>), La<sub>26</sub>O<sub>27</sub>(BO<sub>3</sub>)<sub>8</sub> (<xref ref-type="bibr" rid="B35">Lin et al., 1996</xref>), La<sub>4</sub>B<sub>10</sub>O<sub>21</sub> (isotypic to Pr<sub>4</sub>B<sub>10</sub>O<sub>21</sub>) (<xref ref-type="bibr" rid="B24">Hinteregger et al., 2012</xref>) and La<sub>2</sub>B<sub>8</sub>O<sub>15</sub> (isotypic to Ce<sub>2</sub>B<sub>8</sub>O<sub>15</sub>) (<xref ref-type="bibr" rid="B15">Gl&#xe4;tzle et al., 2016</xref>). Except for the high-pressure modifications (&#x3b3;-LaB<sub>3</sub>O<sub>6</sub>, &#x3b4;-LaB<sub>3</sub>O<sub>6,</sub> and La<sub>4</sub>B<sub>10</sub>O<sub>21</sub>), all known lanthanum borates are synthesized by heating stoichiometric mixtures of La<sub>2</sub>O<sub>3</sub> and B<sub>2</sub>O<sub>3</sub> under ambient pressure conditions. However, this simple synthesis fails to produce pure crystalline phases (<xref ref-type="bibr" rid="B51">Shmyt&#x2019;ko et al., 2013</xref>). Hence, HPHT synthesis serves as a viable alternative. There is a common trend in high-pressure borates where the boron atoms tend to prefer four-fold coordination as pressure increases. Typically, trigonal-planar BO<sub>3</sub> groups transform into tetrahedral BO<sub>4</sub> groups beyond 10&#xa0;GPa pressure (<xref ref-type="bibr" rid="B24">Hinteregger et al., 2012</xref>). However, a few compounds are known to contain trigonal-planar BO<sub>3</sub> groups beyond this pressure threshold, for example, in Ho<sub>31</sub>O<sub>27</sub>(BO<sub>3</sub>)<sub>3</sub>(BO<sub>4</sub>)<sub>6</sub> (<xref ref-type="bibr" rid="B21">Hering et al., 2010</xref>).</p>
<p>In the present study, we have applied methods of single-crystal X-ray diffraction in laser-heated diamond anvil cell (DAC) to synthesize lanthanum hydroxyborate La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> for the first time and characterize its crystal structure. We performed <italic>ab initio</italic> calculations of the band gap and compared both: the band gap and its structural properties with literature. The structural organization of La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> allows us to propose that the lanthanum borates with isolated BO<sub>3</sub> groups can be used as a potential DUV birefringent material.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Sample preparation</title>
<p>For the synthesis, we used a non-stoichiometric mixture of partially hydrolyzed La (a piece of lanthanum 99.9% purity from Fisher Scientific left on humid air for 3&#xa0;days) and B<sub>2</sub>O<sub>3</sub> (99.999% purity, purchased from Fisher Scientific), finely grounded and pre-pressed into pellets between two diamonds. The pre-pressed pellet of size 10&#x2a;15&#x2a;5&#xa0;&#x3bc;m<sup>3</sup> was loaded in the symmetric DAC (Symm100 by Almax EasyLab) equipped with Boehler&#x2013;Almax diamonds with a 200&#xa0;&#x3bc;m culet size. Rhenium gasket was pre-indented to the thickness of 26&#xa0;&#x3bc;m, and a hole with the diameter of about 110&#xa0;&#x3bc;m was drilled with a laser-drilling system at GeoSoilEnviroCARS (GSECARS), Advanced Photon Source (APS), Argonne National Laboratory (ANL). A 4&#xa0;&#x3bc;m piece of gold and a 15&#xa0;&#x3bc;m ruby ball (DACtools, LLC) were used as pressure calibrants (Ye et al., 2018). Neon was loaded using the COMPRES/GSECARS gas loading system available at APS (<xref ref-type="bibr" rid="B46">Rivers et al., 2008</xref>) and served as a pressure-transmitting medium.</p>
</sec>
<sec id="s2-2">
<title>2.2 Laser-heating experiments</title>
<p>Double-sided laser-heating experiments coupled with X-ray diffraction (XRD) measurements were conducted at the 13ID-D beamline at GSECARS of the APS, ANL. The laser heating system at the beamline is equipped with two 1,064&#xa0;nm wavelength infrared lasers that produce a flat-top spot size of around 10&#xa0;&#xb5;m in diameter (full width at half-maximum) (Goncharov et al., 2010). We used double-sided laser heating in the burst mode with a heating duration of 1 or 3&#xa0;s, collecting XRD of the sample during and after heating. The surface temperatures of both sides were measured by the standard spectroradiometry method (<xref ref-type="bibr" rid="B20">Heinz and Jeanloz, 1987</xref>) using an IsoPlane SCT 320 spectrometer with a PI-MAX3 1024i ICCD camera from Princeton Instruments.</p>
<p>The DAC was compressed stepwise to a maximum pressure of 30(1) GPa and laser-heated at 3.3(5) and 13.3(5)&#xa0;GPa to a maximum temperature of 2,285(325) and 2,430(130)&#xa0;K, respectively. After each heating cycle, a detailed X-ray diffraction map was collected around the heated spot in order to determine the occurrence of the reaction and the phase composition. At each pressure point, single crystal X-ray diffraction images were collected in a few spots with decent quality for phase composition determination.</p>
</sec>
<sec id="s2-3">
<title>2.3 X-ray data analysis</title>
<p>The crystal structures of the sample in the DAC were investigated through <italic>in situ</italic> XRD measurements using synchrotron radiation performed at the 13ID-D beamline of the APS, ANL. A monochromatic X-ray beam of 42&#xa0;keV (<italic>&#x3bb;</italic> &#x3d; 0.2952&#xa0;&#xc5;) was used to collect powder and single crystal data on a Pilatus 1M CdTe large area detector.</p>
<sec id="s2-3-1">
<title>2.3.1 Powder diffraction</title>
<p>Powder collection was performed as a single image in the omega scanning range of &#xb1;20&#xb0; with an exposure time of 40&#xa0;s. Detector parameters were calibrated using LaB<sub>6</sub>.</p>
<p>The data for powder analysis was prepared and converted into the required file extension using Dioptas software (<xref ref-type="bibr" rid="B43">Prescher and Prakapenka, 2015</xref>). Powder XRD data analysis consisted of structure refinement by the Le Bail method using the GSAS II software (<xref ref-type="bibr" rid="B54">Toby and Von Dreele, 2013</xref>).</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Single crystal diffraction</title>
<p>Single crystal collection included 120 frames in the omega scanning range of &#xb1;34&#xb0; with a step of 0.5&#xb0; and an exposure time of 1&#xa0;s per step. Sample-to-detector distance, coordinates of the beam center, tilt angle, and tilt plane rotation angle of the detector images were calibrated using an orthoenstatite crystal.</p>
<p>Single-crystal XRD data (unit cell determination, integration of the reflection intensities, absorption corrections) were processed using CrysAlisPro software (<xref ref-type="bibr" rid="B45">Rigaku Oxford Diffraction, 2019</xref>). For the search of the domains during data reduction, the DAFi software was used (<xref ref-type="bibr" rid="B1">Aslandukov et al., 2022</xref>). The structure was determined by SHELXT (<xref ref-type="bibr" rid="B50">Sheldrick, 2015</xref>), a structure solution package that uses the method of intrinsic phasing. The crystal structure was refined against <italic>F</italic>
<sup>2</sup> on all data by full-matrix least-squares using SHELXL software (<xref ref-type="bibr" rid="B50">Sheldrick, 2015</xref>). SHELXT and SHELXL were implemented in the Jana2006 software package (<xref ref-type="bibr" rid="B42">Pet&#x159;&#xed;&#x10d;ek et al., 2014</xref>). Crystal structure visualization was made using VESTA (<xref ref-type="bibr" rid="B37">Momma and Izumi, 2011</xref>) and Diamond software (<xref ref-type="bibr" rid="B44">Putz and Brandenburg, 1999</xref>).</p>
<p>Because more than 50% of the diffraction reflections were blocked by the body of the diamond anvil cell, the data sets of the reflections were incomplete. To improve the data/parameter ratio, only the atomic thermal parameters of lanthanum and oxygen were refined using anisotropic approximation, leading to an R<sub>1</sub> value of 5.6%. Due to the presence of high-Z lanthanum atoms, the residual electron density peaks were on the order of 2&#x2013;6 e/&#xc5;<sup>3</sup>, which is comparable with the number of electrons in boron and oxygen atoms. Assignment of the residual density peaks to boron or oxygen atoms did not improve the final R-values, and therefore, the high residuals likely originate from the incompleteness of the XRD data sets. The typical data/parameter ratios were on the order of 10&#x2013;15. The detailed summary of the crystal structure refinement, along with unit cell parameters, atomic coordinates, and atomic displacement parameters, is shown in <xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="sec" rid="s11">Supplementary Tables S1, S2</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Crystal data and structure refinement parameters for La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Empirical formula</th>
<th align="left">La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Crystal system</td>
<td align="left">Trigonal</td>
</tr>
<tr>
<td align="left">Space group</td>
<td align="left">
<inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mover accent="true">
<mml:mn>3</mml:mn>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>1</td>
</tr>
<tr>
<td align="left">Space group number</td>
<td align="left">165</td>
</tr>
<tr>
<td align="left">a (&#xc5;)</td>
<td align="left">6.556(2)</td>
</tr>
<tr>
<td align="left">c (&#xc5;)</td>
<td align="left">17.485(9)</td>
</tr>
<tr>
<td align="left">V (&#xc5;<sup>3</sup>)</td>
<td align="left">650.8(5)</td>
</tr>
<tr>
<td align="left">Z</td>
<td align="left">6</td>
</tr>
<tr>
<td align="left">R<sub>int</sub>
</td>
<td align="left">0.06</td>
</tr>
<tr>
<td align="left">R<sub>1</sub>
</td>
<td align="left">0.056</td>
</tr>
<tr>
<td align="left">GOF (obs)</td>
<td align="left">1.82</td>
</tr>
<tr>
<td align="left">GOF (all)</td>
<td align="left">1.42</td>
</tr>
<tr>
<td align="left">&#x23; reflections (total)</td>
<td align="left">764</td>
</tr>
<tr>
<td align="left">&#x23; of refinable parameters</td>
<td align="left">46</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Scanning electron microscopy</title>
<p>The composition of the sample mixture prior to loading in the DAC was analyzed by means of scanning electron microscopy using the JOEL JSM-IT500HR scanning electron microscope (JEOL USA, Inc., Peabody, MA, United States). The chemical composition was checked at 15&#xa0;kV using energy-dispersive X-ray spectroscopy (EDS) of QUANTAX EDS System with XFlash 6160 detector (Bruker Nano GmbH, Berlin, Germany). No impurities or traces of any other elements were found. The detailed summary is shown in <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>.</p>
</sec>
<sec id="s2-5">
<title>2.5 Band gap calculations</title>
<p>Density functional theory (DFT) calculations were performed using Vienna <italic>ab initio</italic> simulation package (VASP 6.3) (<xref ref-type="bibr" rid="B32">Kresse and Furthm&#xfc;ller, 1996a</xref>; <xref ref-type="bibr" rid="B33">Kresse and Furthm&#xfc;ller, 1996b</xref>). Local Density Approximation (LDA) and Generalized Gradient Approximation (GGA) were used to describe exchange and correlation effects. Electron wave functions were expanded by plane wave with a cutoff energy of 520&#xa0;eV. Monkhorst-Pack (<xref ref-type="bibr" rid="B38">Monkhorst and Pack, 1976</xref>) <italic>k</italic>-point grids were set as 12 &#xd7; 12 &#xd7; 4 for the structure relaxation and 24 &#xd7; 24 &#xd7; 8 for the electronic structure calculations. Atomic relaxation was performed until the change in the electronic and ionic steps were less than 10<sup>&#x2212;6</sup> and 10<sup>&#x2212;5</sup>&#xa0;eV, respectively. VASPKIT package (<xref ref-type="bibr" rid="B57">Wang V. et al., 2021</xref>) was used to extract and analyze the VASP raw output files. Calculations were performed at ambient pressure and external pressure of 30.0&#xa0;GPa.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>The synthesis of new lanthanum hydroxyborate was performed from the mixture of partially hydrolyzed lanthanum powder and boron oxide. The initial mixture has irregular composition (insert in <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). As lanthanum can oxidize on air to either oxide, hydroxide, carbonate, or hydroxycarbonate depending on the conditions and humidity, we performed EDS analysis to confirm the composition of starting mixture. The brief inspection of the EDS spectrum of the initial mixture shows that the sample is composed of the elements La, B, and O. We used carbon tape as a sample mount which may account for the carbon present in the spectra.</p>
<p>To confirm the composition of the initial mixture, we performed powder XRD analysis at the pressure of 3.3(5)&#xa0;GPa. The powder pattern can be found in <xref ref-type="fig" rid="F1">Figure 1</xref>. There are characteristic peaks of La(OH)<sub>3</sub>, B<sub>2</sub>O<sub>3</sub>, and Re. The unit cell parameters for La(OH)<sub>3</sub> (<italic>P</italic>6<sub>3</sub>
<italic>/m</italic>) are: a &#x3d; 6.506(4)&#xa0;&#xc5;, c &#x3d; 3.8673(7)&#xa0;&#xc5;, V &#x3d; 141.75(12)&#xa0;&#xc5;<sup>3</sup>; for B<sub>2</sub>O<sub>3</sub> (<italic>P</italic>3<sub>1</sub>) are: a &#x3d; 4.3789(11)&#xa0;&#xc5;, c &#x3d; 8.2888(16)&#xa0;&#xc5;, V &#x3d; 137.64(5)&#xa0;&#xc5;<sup>3</sup>; and for Re (<italic>P</italic>6<sub>3</sub>
<italic>/mmc</italic>) are: a &#x3d; 2.716(7)&#xa0;&#xc5;, c &#x3d; 4.396(30)&#xa0;&#xc5;, V &#x3d; 28.09(20)&#xa0;&#xc5;<sup>3</sup>. The R-factor is equal to 0.6%. Thus, the source of lanthanum in the system was lanthanum hydroxide. Our sample is very close to the gasket; therefore, the presence of rhenium is not surprising. No characteristic peaks of other compounds exist, such as lanthanum carbonate, lanthanum hydroxycarbonate, or lanthanum oxycarbonate. We did not observe the characteristic peaks of various lanthanum borate phases either. As a result, we can rule out the possibility of a reaction occurring during compression at 3.3(5)&#xa0;GPa without heating.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Powder XRD pattern of the mixture prior to heating at 3.3(5)&#xa0;GPa: blue crosses are experimental data from this study, the green line corresponds to the calculated curve, the red one represents the background, and the black one shows the difference between observed and calculated curves. The ticks represent the different phases: red is B<sub>2</sub>O<sub>3</sub> (ICSD 16021), blue is La(OH)<sub>3</sub> (ICSD 239411), and teal one is Re (ICSD 291898).</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g001.tif"/>
</fig>
<p>Laser heating up to 2,285(325)&#xa0;K at 3.3(5)&#xa0;GPa led to a pressure jump to 6.6(5)&#xa0;GPa, however, the reaction did not occur. Data collection at 13.3(5)&#xa0;GPa before and after heating to 2,430(130)&#xa0;K did not produce good-quality crystalline samples either. Fortunately, the diffraction pattern after increasing pressure up to 30(1)&#xa0;GPa confirmed the chemical reaction by forming a new, previously unknown structure.</p>
<p>By employing single crystal diffraction analysis, the new compound crystallizes in the centrosymmetric trigonal space group <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mover accent="true">
<mml:mn>3</mml:mn>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>c</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (no. 165) with lattice parameters <italic>a</italic> &#x3d; 6.555(2)&#xa0;&#xc5;, <italic>c</italic> &#x3d; 17.485(8)&#xa0;&#xc5; (<xref ref-type="table" rid="T1">Table 1</xref>). It consists of a dense, three-dimensional network (<xref ref-type="fig" rid="F2">Figure 2</xref>) composed of planar triangles of BO<sub>3</sub> connected with three crystallographically independent lanthanum ions. The lanthanum atoms possess different coordination spheres (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>): La01 is coordinated by 10 oxygen atoms, La02 is coordinated by 12 oxygen atoms, and La03 is coordinated by 9 oxygen atoms. The distances La-O are in the range of 2.27(2)&#x2013;2.614(12)&#xa0;&#xc5;. The B-O bond lengths are in the range of 1.26(2)&#x2013;1.321(15)&#xa0;&#xc5; (for all bond lengths in the structure, see <xref ref-type="sec" rid="s11">Supplementary Table S3</xref>). These bond distances are slightly smaller than those published for alkali- and rare-earth borates which can be explained by the higher pressure reached during this experiment.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Crystal structure of La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> (hydrogen atoms are not shown): <bold>(A)</bold> along <italic>a</italic> axis, <bold>(B)</bold> along <italic>c</italic> axis. Lanthanum atoms are shown in grey, oxygens are pink, and boron atoms are in the center of each planar triangle and are shown in dark purple.</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g002.tif"/>
</fig>
<p>As the amount of water absorbed by the lanthanum is unknown, for the structure solution, we used only three elements: La, B, and O. According to the structure refinement, our formula ended up as La<sub>2</sub>B<sub>2</sub>O<sub>7</sub>. To achieve charge balance, instead of two oxygen atoms, there should be two hydroxyl groups. This agrees well with our XRD data of the starting compositions. Therefore, the new borate has a composition of La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>.</p>
<p>The band gap calculated by DFT method is 3.40&#xa0;eV (GGA)/4.64&#xa0;eV (LDA) at ambient pressure and 5.31&#xa0;eV (GGA)/5.26&#xa0;eV (LDA) at 30&#xa0;GPa pressure (<xref ref-type="fig" rid="F3">Figure 3</xref> for LDA and <xref ref-type="sec" rid="s11">Supplementary Figure S4</xref> for GGA). These values correspond to the short cutoff edge in the range from 365 to 233&#xa0;nm. Commonly, the GGA and LDA method-based calculations tend to slightly underestimate the band gap, therefore the real value might be slightly higher and, consequently, the cutoff edge smaller (<xref ref-type="bibr" rid="B2">Bagayoko, 2014</xref>; <xref ref-type="bibr" rid="B3">Baiheti et al., 2021</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The electronic band structure calculated by using LDA method: <bold>(A)</bold> for ambient pressure, and <bold>(B)</bold> for 30&#xa0;GPa.</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g003.tif"/>
</fig>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>The starting mixture for the reaction consisted of La(OH)<sub>3</sub> and B<sub>2</sub>O<sub>3</sub>. During laser heating up to 2,430(130)&#xa0;K, the hydroxide partially decomposed to La<sub>2</sub>O<sub>3</sub> and H<sub>2</sub>O without subsequent melting of La<sub>2</sub>O<sub>3</sub> [T<sub>m (amb)</sub> &#x3d; 2588&#xa0;K (<xref ref-type="bibr" rid="B17">Grundy et al., 2000</xref>)], while boron oxide melted [T<sub>m (8&#xa0;GPa)</sub> &#x223c; 1,800&#xa0;K (<xref ref-type="bibr" rid="B53">Solozhenko et al., 2015</xref>)]. The behavior of B<sub>2</sub>O<sub>3</sub> melt is similar to SiO<sub>2</sub>, and it readily dissolves metallic oxides with the formation of borates (<xref ref-type="bibr" rid="B27">Huppertz, 2011</xref>), so the lanthanum borate was synthesized by dissolving La<sub>2</sub>O<sub>3</sub> and La(OH)<sub>3</sub> in B<sub>2</sub>O<sub>3</sub> with subsequent reaction.</p>
<p>The structure of La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> is based on La-O layers identical to those in the A-type La<sub>2</sub>O<sub>3</sub> structure (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mover accent="true">
<mml:mn>3</mml:mn>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) and La(OH)<sub>3</sub> (P6<sub>3</sub>
<italic>/m</italic>) (<xref ref-type="fig" rid="F4">Figure 4</xref>). During HP synthesis, the lanthanum-oxygen layers of La(OH)<sub>3</sub> were integrated between similar layers of La<sub>2</sub>O<sub>3</sub>. The oxide layers are rotated by 180&#xb0; relative to each other along the <italic>c</italic> axis. The coordination numbers for La in La(OH)<sub>3</sub> frame increase from 9 to 10 and 12 [La01 and La02 in La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>]; while for La in La<sub>2</sub>O<sub>3</sub> pattern&#x2014;from 7 to 9 [La03 in La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>]. Boron atoms have three-fold coordination and are located in the cavities between La01/02-O and La03-O layers. The positional disorder of the BO<sub>3</sub> groups is unusual for known RE borates and has never been described before. In terms of a three-fold coordinated boron atom, in RE borates BO<sub>3</sub> group can form either linked chains [for example, in &#x3b1;-Sm(BO<sub>3</sub>)<sub>2</sub> (<xref ref-type="bibr" rid="B12">Fuchs et al., 2020a</xref>) or in LaB<sub>2</sub>O<sub>4</sub>F (<xref ref-type="bibr" rid="B25">Hinteregger et al., 2013b</xref>)], or isolated triangles [for instance, in NdBO<sub>3</sub> (<xref ref-type="bibr" rid="B39">M&#xfc;ller-Bunz et al., 2003</xref>) or in Dy<sub>5</sub>(BO<sub>3</sub>)<sub>2</sub>F<sub>9</sub> (<xref ref-type="bibr" rid="B23">Hinteregger et al., 2013a</xref>)]. The arrangement of boron groups in most cases is coplanar (parallel to one plane) or slightly distorted. In La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> boron groups have a coaxial arrangement: each BO<sub>3</sub> triangle occupies one of three possible positions along C<sub>3</sub> axis and lies in the glade <italic>n</italic> plane (<xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>). BO<sub>3</sub> group exhibits C<sub>2</sub> symmetry as it represents an isosceles triangle.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The comparison of La-O frame (hydrogen and boron atoms are not shown) for: <bold>(A)</bold> La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> (present work), <bold>(B)</bold> La<sub>2</sub>O<sub>3</sub> (ICSD 56771), and <bold>(C)</bold> La(OH)<sub>3</sub> (ICSD 239411). For convenience, the lanthanum atoms with different pattern are shown in different shades of grey: for La<sub>2</sub>O<sub>3</sub> pattern in violetish grey, for La(OH)<sub>3</sub> pattern in greenish grey.</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g004.tif"/>
</fig>
<p>There are known structures of RE hydroxyborates, for example, high-pressure La<sub>3</sub>B<sub>6</sub>O<sub>13</sub>(OH) (<xref ref-type="bibr" rid="B13">Fuchs et al., 2020b</xref>), and LaB<sub>2</sub>O<sub>4</sub>(OH) (<xref ref-type="bibr" rid="B4">Bashir et al., 2017</xref>). However, both are composed of edge-sharing BO<sub>4</sub> tetrahedra which distinguishes them from the newly synthesized La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>. We found only two lanthanum borates with similar structure: H-LaBO<sub>3</sub> (<xref ref-type="bibr" rid="B5">B&#xf6;hlhoff et al., 1971</xref>) and La<sub>26</sub>(BO<sub>3</sub>)<sub>8</sub>O<sub>27</sub> (<xref ref-type="bibr" rid="B35">Lin et al., 1996</xref>). Both these structures consist of repeated La-O and BO<sub>3</sub> patterns: the orientation of planar BO<sub>3</sub> groups in H-LaBO<sub>3</sub> is coplanar, while in La<sub>26</sub>(BO<sub>3</sub>)<sub>8</sub>O<sub>27</sub> the BO<sub>3</sub> groups have a slightly distorted arrangement (<xref ref-type="fig" rid="F5">Figure 5</xref>). The bond distances in La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> correspond well to typical bond lengths in lanthanum borates (<xref ref-type="fig" rid="F6">Figure 6</xref>). For example, in comparison with La<sub>26</sub>(BO<sub>3</sub>)<sub>8</sub>O<sub>27</sub> at ambient pressure where the bond distances for La-O are in the range 2.272(10)&#x2013;3.047(9)&#xa0;&#xc5;, and for B-O are in the range 1.34(2)&#x2013;1.42(2)&#xa0;&#xc5; (<xref ref-type="bibr" rid="B35">Lin et al., 1996</xref>), the newly synthesized La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> at 30(1)&#xa0;GPa have the bond lengths 2.27(2)&#x2013;2.612(14)&#xa0;&#xc5; and 1.26(2)&#x2013;1.319(15)&#xa0;&#xc5; for La-O and B-O, respectively.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The comparison of BO<sub>3</sub> polyhedra arrangement for: <bold>(A)</bold> La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> (present work), <bold>(B)</bold> H-LaBO<sub>3</sub> (ICSD 15383), and <bold>(C)</bold> La<sub>26</sub>(BO<sub>3</sub>)<sub>8</sub>O<sub>27</sub> (ICSD 82308). For convenience, only BO<sub>3</sub> polyhedra are shown.</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The comparison of the bond distances for La-O and B-O (in trigonal planar orientation) from publications (<xref ref-type="bibr" rid="B5">B&#xf6;hlhoff et al., 1971</xref>; <xref ref-type="bibr" rid="B35">Lin et al., 1996</xref>; <xref ref-type="bibr" rid="B11">Emme et al., 2004</xref>; <xref ref-type="bibr" rid="B24">Hinteregger et al., 2012</xref>) and for La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> (present work). The ranges from the literature are shown in grey bars, the red squares are corresponding to the smallest value of the bond length of the La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>, while the black dots are representing the biggest value.</p>
</caption>
<graphic xlink:href="fchem-11-1259000-g006.tif"/>
</fig>
<p>While the borates with parallel arrangement of planar BO<sub>3</sub> groups have the largest birefringence (<xref ref-type="bibr" rid="B30">Jiang et al., 2015</xref>), the situation with coaxial BO<sub>3</sub> arrangement is slightly different. The value for optical anisotropy depends not only on BO<sub>3</sub> pattern, but also on the detailed orientation and spatial density of the planar BO<sub>3</sub> groups (<xref ref-type="bibr" rid="B30">Jiang et al., 2015</xref>). Additionally, the presence of hydroxyl anions linked with isolated triangular boron groups may enlarge the birefringence by delocalization of &#x3c0; electrons (<xref ref-type="bibr" rid="B31">Jin et al., 2021</xref>). Our calculated band gap values for ambient [3.40&#xa0;eV (GGA)/4.64&#xa0;eV (LDA)] and high pressure [5.31&#xa0;eV (GGA)/5.26&#xa0;eV (LDA)] are typical for lanthanum borates with three-fold coordinated boron. For example, the calculated (GGA) and experimental band gap at ambient conditions for LaBO<sub>3</sub> with two-dimensional BO<sub>3</sub> layers are 4.81 and 5.23&#xa0;eV (<xref ref-type="bibr" rid="B49">Sha et al., 2021</xref>) respectively. As mentioned earlier, the presence of rare-earth elements may positively affect the birefringence but at the same time decreases the band gap. As we are looking at the combination of factors, there is a good probability that synthesized La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> has high birefringence with the cutoff edge short enough to transmit in the longer wavelength portion of UV-C.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>During the HPHT synthesis at 30(1)&#xa0;GPa and 2,430(130)&#xa0;K, we were able to obtain a new structure of lanthanum hydroxyborate [La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub>] with planar BO<sub>3</sub> groups. In contrast with the most known RE borates (including high-pressure structures), La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> does not form a B-O framework and does not have BO<sub>4</sub> tetrahedra: trigonal-planar BO<sub>3</sub> groups occupy the cavities between La-O layers and create the coaxial pattern. The estimated band gap for lanthanum hydroxyborate is 4.64&#xa0;eV (for ambient pressure) and 5.26&#xa0;eV (for 30&#xa0;GPa), which fits well into the acceptable range for DUV transparency. The structural organization of La<sub>2</sub>B<sub>2</sub>O<sub>5</sub>(OH)<sub>2</sub> and its electronic properties allows us to propose that this class of lanthanum borates can be used as a potential DUV birefringent material.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: the joint CCDC/FIZ Karlsruhe online deposition service: <ext-link ext-link-type="uri" xlink:href="https://www.ccdc.cam.ac.uk/structures/">https://www.ccdc.cam.ac.uk/structures/</ext-link>; the deposition number CSD-2280897.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>OI: Investigation, Conceptualization, Data curation, Software, Visualization, Writing&#x2013;original draft. LV: Investigation, Writing&#x2013;review and editing. ZH: Investigation, Writing&#x2013;review and editing. VD: Writing&#x2013;review and editing, Resources, Software. SC: Methodology, Supervision, Writing&#x2013;review and editing. VP: Methodology, Supervision, Writing&#x2013;review and editing. IC: Methodology, Supervision, Writing&#x2013;review and editing, Funding acquisition, Investigation, Project administration, Data curation, Validation.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>The authors declare financial support was received for the research, authorship, and/or publication of this article. Funding was provided by Florida International University.</p>
</sec>
<ack>
<p>This research used resources of the Advanced Photon Source, a U.S. Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357. We acknowledge the support of GeoSoilEnviroCARS (Sector 13), which is supported by the National Science Foundation&#x2014;Earth Sciences (EAR-1634415). This work used Bridges-2 at Pittsburgh Supercomputing Center through allocation Discover MAT230033 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services and Support (ACCESS) program, which is supported by National Science Foundation grants #2138259, #2138286, #2138307, #2137603, and #2138296. The Bridges-2 system is supported by NSF award number ACI-1928147, at the Pittsburgh Supercomputing Center (PSC) (<xref ref-type="bibr" rid="B55">Towns et al., 2014</xref>). The authors are grateful to Florida International University for financial support.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fchem.2023.1259000/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fchem.2023.1259000/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aslandukov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Aslandukov</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dubrovinskaia</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Dubrovinsky</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Domain auto finder (DAFi) program: the analysis of single-crystal X-ray diffraction data from polycrystalline samples</article-title>. <source>J. Appl. Crystallogr.</source> <volume>55</volume> (<issue>5</issue>), <fpage>1383</fpage>&#x2013;<lpage>1391</lpage>. <pub-id pub-id-type="doi">10.1107/S1600576722008081</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bagayoko</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Understanding density functional theory (DFT) and completing it in practice</article-title>. <source>AIP Adv.</source> <volume>4</volume> (<issue>12</issue>). <pub-id pub-id-type="doi">10.1063/1.4903408</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Baiheti</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Cs<sub>2</sub>AlB<sub>5</sub>O<sub>10</sub>: a short-wavelength nonlinear optical crystal with moderate second harmonic generation response</article-title>. <source>Dalton Trans.</source> <volume>50</volume> (<issue>3</issue>), <fpage>822</fpage>&#x2013;<lpage>825</lpage>. <pub-id pub-id-type="doi">10.1039/D0DT04020G</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bashir</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>M.-H.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>DFT-based comparative study about the influence of fluorine and hydroxyl anions on opto-electric properties of borate crystals: Choice for better anion</article-title>. <source>Inorg. Chem.</source> <volume>56</volume> (<issue>10</issue>), <fpage>5636</fpage>&#x2013;<lpage>5645</lpage>. <pub-id pub-id-type="doi">10.1021/acs.inorgchem.7b00120</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>B&#xf6;hlhoff</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>&#x392;ambauer</surname>
<given-names>H. U.</given-names>
</name>
<name>
<surname>Hoffmann</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>1971</year>). <article-title>Die kristallstruktur von Hoch-LaBO<sub>3</sub>
</article-title>. <source>Z. fur Kristallogr.</source> <volume>133</volume> (<issue>1-6</issue>), <fpage>386</fpage>&#x2013;<lpage>395</lpage>. <pub-id pub-id-type="doi">10.1524/zkri.1971.133.16.386</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Sasaki</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Mori</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <source>Nonlinear optical borate crystals</source>. <publisher-name>John Wiley &#x26; Sons</publisher-name>, <fpage>15</fpage>&#x2013;<lpage>115</lpage>.</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>K.</given-names>
</name>
<etal/>
</person-group> (<year>1995</year>). <article-title>New development of nonlinear optical crystals for the ultraviolet region with molecular engineering approach</article-title>. <source>J. Appl. Phys.</source> <volume>77</volume> (<issue>6</issue>), <fpage>2268</fpage>&#x2013;<lpage>2272</lpage>. <pub-id pub-id-type="doi">10.1063/1.358814</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ch&#xe9;nais</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Druon</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Balembois</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Georges</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Gaum&#xe9;</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Haumesser</surname>
<given-names>P. H.</given-names>
</name>
<etal/>
</person-group> (<year>2002</year>). <article-title>Spectroscopy and efficient laser action from diode pumping of a new broadly tunable crystal: Yb:Sr<sub>3</sub>Y(BO<sub>3</sub>)<sub>3</sub>
</article-title>. <source>J. Opt. Soc. Am. B</source> <volume>19</volume> (<issue>5</issue>), <fpage>1083</fpage>. <pub-id pub-id-type="doi">10.1364/JOSAB.19.001083</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>DeShazer</surname>
<given-names>L. G.</given-names>
</name>
</person-group> (<year>2002</year>). &#x201c;<article-title>Improved midinfrared polarizers using yttrium vanadate</article-title>,&#x201d; in <source>Polarization analysis and measurement IV, proc. SPIE 4481</source> (<publisher-name>SPIE</publisher-name>). <pub-id pub-id-type="doi">10.1117/12.452881</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dodge</surname>
<given-names>M. J.</given-names>
</name>
</person-group> (<year>1984</year>). <article-title>Refractive properties of magnesium fluoride</article-title>. <source>Appl. Opt.</source> <volume>23</volume> (<issue>12</issue>), <fpage>1980</fpage>. <pub-id pub-id-type="doi">10.1364/AO.23.001980</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Emme</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Despotopoulou</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>High-pressure synthesis and crystal structure of the structurally new orthorhombic rare-earth Meta-oxoborates &#x3b3;-RE(BO<sub>2</sub>)<sub>3</sub> (RE &#x3d; La - Nd)</article-title>. <source>Z. Fur Anorg. Und Allg. Chem.</source> <volume>630</volume> (<issue>13&#x2013;14</issue>), <fpage>2450</fpage>&#x2013;<lpage>2457</lpage>. <pub-id pub-id-type="doi">10.1002/zaac.200400202</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fuchs</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Heymann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Lkhamsuren Bayarjargal</surname>
<given-names>A. T.</given-names>
</name>
<name>
<surname>Siegel</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Schmutzler</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2020a</year>). <article-title>La<sub>3</sub>B<sub>6</sub>O<sub>13</sub>(OH): The first acentric high-pressure borate displaying edge-sharing BO<sub>4</sub> tetrahedra</article-title>. <source>Chem. &#x2013; A Eur. J.</source> <volume>26</volume> (<issue>30</issue>), <fpage>6851</fpage>&#x2013;<lpage>6861</lpage>. <pub-id pub-id-type="doi">10.1002/chem.201905419</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fuchs</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Kindler</surname>
<given-names>R. O.</given-names>
</name>
<name>
<surname>Heymann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>High-pressure synthesis and crystal structure of the samarium meta-oxoborate &#x3b3;-Sm(BO<sub>2</sub>)<sub>3</sub>
</article-title>. <source>Z. F&#xfc;r Naturforsch. B</source> <volume>75</volume> (<issue>6&#x2013;7</issue>), <fpage>589</fpage>&#x2013;<lpage>595</lpage>. <pub-id pub-id-type="doi">10.1515/znb-2020-0045</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ghosh</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals</article-title>. <source>Opt. Commun.</source> <volume>163</volume> (<issue>1&#x2013;3</issue>), <fpage>95</fpage>&#x2013;<lpage>102</lpage>. <pub-id pub-id-type="doi">10.1016/S0030-4018(99)00091-7</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gl&#xe4;tzle</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hoerder</surname>
<given-names>G. J.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>RE<sub>2</sub>B<sub>8</sub>O<sub>15</sub> (RE &#x3d; La, Pr, Nd) - syntheses of three new rare earth borates isotypic to Ce<sub>2</sub>B<sub>8</sub>O<sub>15</sub>
</article-title>. <source>Zeitschrift Fur Naturforschung - Sect. B J. Chem. Sci.</source> <volume>71</volume> (<issue>5</issue>), <fpage>535</fpage>&#x2013;<lpage>542</lpage>. <pub-id pub-id-type="doi">10.1515/znb-2016-0027</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Realizing deep-ultraviolet second harmonic generation by first-principles-guided materials exploration in hydroxyborates</article-title>. <source>J. Am. Chem. Soc.</source> <volume>142</volume> (<issue>35</issue>), <fpage>15157</fpage>&#x2013;<lpage>15163</lpage>. <pub-id pub-id-type="doi">10.1021/jacs.0c07256</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Grundy</surname>
<given-names>A. N.</given-names>
</name>
<name>
<surname>Hallstedt</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Gauckler</surname>
<given-names>L. J.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Thermodynamic assessment of the lanthanum-oxygen system</article-title>. <source>J. Phase Equilibria</source> <volume>22</volume>, <fpage>105</fpage>&#x2013;<lpage>113</lpage>. <pub-id pub-id-type="doi">10.1361/105497101770338950</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Realization of enlarged birefringence from BaCdBe<sub>2</sub>(BO<sub>3</sub>)<sub>2</sub>F<sub>2</sub> to NaMgBe<sub>2</sub>(BO<sub>3</sub>)<sub>2</sub>F via the cation size effect as a potential deep-ultraviolet birefringent material</article-title>. <source>Inorg. Chem.</source> <volume>61</volume> (<issue>19</issue>), <fpage>7624</fpage>&#x2013;<lpage>7630</lpage>. <pub-id pub-id-type="doi">10.1021/acs.inorgchem.2c00880</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guoqing</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jun</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Xingda</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Heyu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Siting</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Ke</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>1998</year>). <article-title>Growth and spectrum of a novel birefringent &#x3b1;-BaB<sub>2</sub>O<sub>4</sub> crystal</article-title>. <source>J. Cryst. Growth</source> <volume>191</volume> (<issue>3</issue>), <fpage>517</fpage>&#x2013;<lpage>519</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-0248(98)00162-6</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Heinz</surname>
<given-names>D. L.</given-names>
</name>
<name>
<surname>Jeanloz</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>1987</year>). &#x201c;<article-title>Temperature measurements in the laser-heated diamond cell</article-title>,&#x201d; in <source>High-pressure research in mineral physics: A volume in honor of syun-iti akimoto</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Manghnani</surname>
<given-names>M. H.</given-names>
</name>
<name>
<surname>Syono</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<publisher-name>Terra Scientific Publishing Company</publisher-name>). <pub-id pub-id-type="doi">10.1029/GM039p0113</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hering</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Haberer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kaindl</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>High-pressure synthesis and crystal structure of the new holmium oxoborate Ho<sub>31</sub>O<sub>27</sub>(BO<sub>3</sub>)<sub>3</sub>(BO<sub>4</sub>)<sub>6</sub>
</article-title>. <source>Solid State Sci.</source> <volume>12</volume> (<issue>12</issue>), <fpage>1993</fpage>&#x2013;<lpage>2002</lpage>. <pub-id pub-id-type="doi">10.1016/j.solidstatesciences.2010.08.016</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heymann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Soltner</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>&#x3b4;-La(BO<sub>2</sub>)<sub>3</sub> (&#x2261;&#x3b4;-LaB<sub>3</sub>O<sub>6</sub>): A new high-pressure modification of lanthanum meta-oxoborate</article-title>. <source>Solid State Sci.</source> <volume>8</volume> (<issue>7</issue>), <fpage>821</fpage>&#x2013;<lpage>829</lpage>. <pub-id pub-id-type="doi">10.1016/j.solidstatesciences.2006.03.002</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hinteregger</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>B&#xf6;hler</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Hofer</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2013a</year>). <article-title>High-pressure syntheses and characterization of the rare earth borates RE<sub>5</sub>(BO<sub>3</sub>)<sub>2</sub>F<sub>9</sub> (RE&#x3d;Dy, Ho)</article-title>. <source>Z. F&#xfc;r Naturforsch. B</source> <volume>68</volume> (<issue>1</issue>), <fpage>29</fpage>&#x2013;<lpage>38</lpage>. <pub-id pub-id-type="doi">10.5560/znb.2013-2313</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hinteregger</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Heymann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Hofer</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>High-pressure synthesis and characterization of the rare-earth borate La<sub>4</sub>B<sub>10</sub>O<sub>21</sub>
</article-title>. <source>Z. F&#xfc;r Naturforsch. B</source> <volume>67b</volume>, <fpage>605</fpage>&#x2013;<lpage>613</lpage>. <pub-id pub-id-type="doi">10.5560/znb.2012-0001</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hinteregger</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Kocsis</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Hofer</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Heymann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Perfler</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2013b</year>). <article-title>High-pressure synthesis and characterization of the rare-earth fluoride borate LaB<sub>2</sub>O<sub>4</sub>F</article-title>. <source>Z. Fur Naturforsch. B</source> <volume>68</volume> (<issue>9</issue>), <fpage>951</fpage>&#x2013;<lpage>959</lpage>. <pub-id pub-id-type="doi">10.5560/ZNB.2013-3177</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Mutailipu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Griffith</surname>
<given-names>K. J.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Expanding the chemistry of borates with functional [BO<sub>2</sub>]<sup>&#x2212;</sup> anions</article-title>. <source>Nat. Commun.</source> <volume>12</volume> (<issue>1</issue>), <fpage>2597</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-021-22835-4</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huppertz</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>New synthetic discoveries via high-pressure solid-state chemistry</article-title>. <source>Chem. Commun.</source> <volume>47</volume> (<issue>1</issue>), <fpage>131</fpage>&#x2013;<lpage>140</lpage>. <pub-id pub-id-type="doi">10.1039/c0cc02715d</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jia</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Top-seeded solution growth and optical properties of deep-UV birefringent crystal Ba<sub>2</sub>Ca(B<sub>3</sub>O<sub>6</sub>)<sub>2</sub>
</article-title>. <source>Cryst. Growth Des.</source> <volume>17</volume> (<issue>2</issue>), <fpage>558</fpage>&#x2013;<lpage>562</lpage>. <pub-id pub-id-type="doi">10.1021/acs.cgd.6b01428</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>M.-H.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Development of nonlinear optical materials promoted by density functional theory simulations</article-title>. <source>Int. J. Mod. Phys. B</source> <volume>28</volume> (<issue>27</issue>), <fpage>1430018</fpage>. <pub-id pub-id-type="doi">10.1142/S0217979214300187</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>First-principles evaluation of the alkali and/or alkaline earth beryllium borates in deep ultraviolet nonlinear optical applications</article-title>. <source>ACS Photonics</source> <volume>2</volume> (<issue>8</issue>), <fpage>1183</fpage>&#x2013;<lpage>1191</lpage>. <pub-id pub-id-type="doi">10.1021/acsphotonics.5b00248</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jin</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Hydroxyfluorooxoborate Na[B<sub>3</sub>O<sub>3</sub>F<sub>2</sub>(OH)<sub>2</sub>]&#x22c5;[B(OH)<sub>3</sub>]: Optimizing the optical anisotropy with heteroanionic units for deep ultraviolet birefringent crystals</article-title>. <source>Angew. Chem. - Int. Ed.</source> <volume>60</volume> (<issue>37</issue>), <fpage>20469</fpage>&#x2013;<lpage>20475</lpage>. <pub-id pub-id-type="doi">10.1002/anie.202107291</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kresse</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Furthm&#xfc;ller</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1996a</year>). <article-title>Efficiency of <italic>ab-initio</italic> total energy calculations for metals and semiconductors using a plane-wave basis set</article-title>. <source>Comput. Mater. Sci.</source> <volume>6</volume> (<issue>1</issue>), <fpage>15</fpage>&#x2013;<lpage>50</lpage>. <pub-id pub-id-type="doi">10.1016/0927-0256(96)00008-0</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kresse</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Furthm&#xfc;ller</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1996b</year>). <article-title>Efficient iterative schemes for <italic>ab initio</italic> total-energy calculations using a plane-wave basis set</article-title>. <source>Phys. Rev. B</source> <volume>54</volume> (<issue>16</issue>), <fpage>11169</fpage>&#x2013;<lpage>11186</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.54.11169</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>R. K.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Chemical engineering of a birefringent crystal transparent in the deep UV range</article-title>. <source>CrystEngComm</source> <volume>14</volume> (<issue>17</issue>), <fpage>5421</fpage>. <pub-id pub-id-type="doi">10.1039/c2ce25240f</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>J. H.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>M. Z.</given-names>
</name>
<name>
<surname>Wurst</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Schweda</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>The structure of La<sub>26</sub>(BO<sub>3</sub>)<sub>8</sub>O<sub>27</sub>: A structure with a distorted fluorite type arrangement of atoms</article-title>. <source>J. Solid State Chem.</source> <volume>126</volume> (<issue>2</issue>), <fpage>287</fpage>&#x2013;<lpage>291</lpage>. <pub-id pub-id-type="doi">10.1006/jssc.1996.0339</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>M.-H.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>First-principles materials applications and design of nonlinear optical crystals</article-title>. <source>J. Phys. D Appl. Phys.</source> <volume>47</volume> (<issue>25</issue>), <fpage>253001</fpage>. <pub-id pub-id-type="doi">10.1088/0022-3727/47/25/253001</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Momma</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Izumi</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data</article-title>. <source>J. Appl. Crystallogr.</source> <volume>44</volume> (<issue>6</issue>), <fpage>1272</fpage>&#x2013;<lpage>1276</lpage>. <pub-id pub-id-type="doi">10.1107/S0021889811038970</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Monkhorst</surname>
<given-names>H. J.</given-names>
</name>
<name>
<surname>Pack</surname>
<given-names>J. D.</given-names>
</name>
</person-group> (<year>1976</year>). <article-title>Special points for Brillouin-zone integrations</article-title>. <source>Phys. Rev. B</source> <volume>13</volume> (<issue>12</issue>), <fpage>5188</fpage>&#x2013;<lpage>5192</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.13.5188</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>M&#xfc;ller-Bunz</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Nikelski</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Schleid</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Einkristalle des Neodym(III)-meta-Borats Nd(BO<sub>2</sub>)<sub>3</sub> und -ortho-Borats Nd[BO<sub>3</sub>]/Single Crystals of the Neodymium(III) meta-Borate Nd(BO<sub>2</sub>)<sub>3</sub> and ortho-Borate Nd[BO<sub>3</sub>]</article-title>. <source>Z. F&#xfc;r Naturforsch. B</source> <volume>58</volume> (<issue>5</issue>), <fpage>375</fpage>&#x2013;<lpage>380</lpage>. <pub-id pub-id-type="doi">10.1515/znb-2003-0503</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mutailipu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Poeppelmeier</surname>
<given-names>K. R.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Borates: A rich source for optical materials</article-title>. <source>Chem. Rev.</source> <volume>121</volume> (<issue>3</issue>), <fpage>1130</fpage>&#x2013;<lpage>1202</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemrev.0c00796</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nikelski</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Sch&#xe4;fer</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Schleid</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>La<sub>4</sub>B<sub>14</sub>O<sub>27</sub>: Ein Lanthan-ultra-Oxoborat mit Raumnetzstruktur</article-title>. <source>Z. F&#xfc;r Anorg. Und Allg. Chem.</source> <volume>634</volume> (<issue>1</issue>), <fpage>49</fpage>&#x2013;<lpage>55</lpage>. <pub-id pub-id-type="doi">10.1002/zaac.200700303</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pet&#x159;&#xed;&#x10d;ek</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Du&#x161;ek</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Palatinus</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Crystallographic computing system JANA2006: General features</article-title>. <source>Z. F&#xfc;r Kristallogr. - Cryst. Mater.</source> <volume>229</volume> (<issue>5</issue>), <fpage>345</fpage>&#x2013;<lpage>352</lpage>. <pub-id pub-id-type="doi">10.1515/zkri-2014-1737</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Prescher</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Prakapenka</surname>
<given-names>V. B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Dioptas: a program for reduction of two-dimensional X-ray diffraction data and data exploration</article-title>. <source>High Press. Res.</source> <volume>35</volume> (<issue>3</issue>), <fpage>223</fpage>&#x2013;<lpage>230</lpage>. <pub-id pub-id-type="doi">10.1080/08957959.2015.1059835</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Putz</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Brandenburg</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>1999</year>). <source>Diamond - crystal and molecular structure visualization</source>.</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<collab>Rigaku Oxford Diffraction</collab> (<year>2019</year>). <article-title>CrysAlisPro software system</article-title>. <comment>Version 1.171.40.84a</comment>.</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rivers</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Prakapenka</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Kubo</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Pullins</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Holl</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jacobsen</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>The COMPRES/GSECARS gas-loading system for diamond anvil cells at the Advanced Photon Source</article-title>. <source>High Press. Res.</source> <volume>28</volume> (<issue>3</issue>), <fpage>273</fpage>&#x2013;<lpage>292</lpage>. <pub-id pub-id-type="doi">10.1080/08957950802333593</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sari</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Senberber</surname>
<given-names>F. T.</given-names>
</name>
<name>
<surname>Yildirim</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kipcak</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Yuksel</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Derun</surname>
<given-names>E. M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Lanthanum borate synthesis via the solid-state method from a La<sub>2</sub>O<sub>3</sub> precursor: Electrical and optical properties</article-title>. <source>Mater. Chem. Phys.</source> <volume>200</volume>, <fpage>196</fpage>&#x2013;<lpage>203</lpage>. <pub-id pub-id-type="doi">10.1016/j.matchemphys.2017.07.056</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Scott</surname>
<given-names>W. D.</given-names>
</name>
</person-group> (<year>1962</year>). <article-title>Purification, growth of single crystals, and selected properties of MgF<sub>2</sub>
</article-title>. <source>J. Am. Ceram. Soc.</source> <volume>45</volume> (<issue>12</issue>), <fpage>586</fpage>&#x2013;<lpage>587</lpage>. <pub-id pub-id-type="doi">10.1111/j.1151-2916.1962.tb11065.x</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sha</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>A new rare-earth borate birefringent crystal with quasi-two-dimensional [BO<sub>3</sub>] layers</article-title>. <source>J. Mater. Chem. C</source> <volume>9</volume> (<issue>44</issue>), <fpage>15886</fpage>&#x2013;<lpage>15890</lpage>. <pub-id pub-id-type="doi">10.1039/D1TC04256D</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sheldrick</surname>
<given-names>G. M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Shelxt &#x2013; integrated space-group and crystal-structure determination</article-title>. <source>Acta Crystallogr. Sect. A Found. Adv.</source> <volume>71</volume> (<issue>1</issue>), <fpage>3</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1107/S2053273314026370</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shmyt&#x2019;ko</surname>
<given-names>I. M.</given-names>
</name>
<name>
<surname>Kiryakin</surname>
<given-names>I. N.</given-names>
</name>
<name>
<surname>Strukova</surname>
<given-names>G. K.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Features of LaBO<sub>3</sub> phase formation during solid-phase synthesis from the amorphous precursor state</article-title>. <source>Phys. Solid State</source> <volume>55</volume> (<issue>7</issue>), <fpage>1468</fpage>&#x2013;<lpage>1475</lpage>. <pub-id pub-id-type="doi">10.1134/S1063783413070305</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Solntsev</surname>
<given-names>V. P.</given-names>
</name>
<name>
<surname>Tsvetkov</surname>
<given-names>E. G.</given-names>
</name>
<name>
<surname>Gets</surname>
<given-names>V. A.</given-names>
</name>
<name>
<surname>Antsygin</surname>
<given-names>V. D.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Growth of &#x3b1;-BaB<sub>2</sub>O<sub>4</sub> single crystals from melts at various compositions: comparison of optical properties</article-title>. <source>J. Cryst. Growth</source> <volume>236</volume> (<issue>1&#x2013;3</issue>), <fpage>290</fpage>&#x2013;<lpage>296</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-0248(01)02216-3</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Solozhenko</surname>
<given-names>V. L.</given-names>
</name>
<name>
<surname>Kurakevych</surname>
<given-names>O. O.</given-names>
</name>
<name>
<surname>Le Godec</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Brazhkin</surname>
<given-names>V. V.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Thermodynamically consistent p-T phase diagram of boron oxide B<sub>2</sub>O<sub>3</sub> by <italic>in situ</italic> probing and thermodynamic analysis</article-title>. <source>J. Phys. Chem. C</source> <volume>119</volume> (<issue>35</issue>), <fpage>20600</fpage>&#x2013;<lpage>20605</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpcc.5b07088</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Toby</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Von Dreele</surname>
<given-names>R. B.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>GSAS-II: the genesis of a modern open-source all purpose crystallography software package</article-title>. <source>J. Appl. Crystallogr.</source> <volume>46</volume> (<issue>2</issue>), <fpage>544</fpage>&#x2013;<lpage>549</lpage>. <pub-id pub-id-type="doi">10.1107/S0021889813003531</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Towns</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Cockerill</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dahan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Foster</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Gaither</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Grimshaw</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2014</year>). <article-title>Xsede: Accelerating scientific discovery</article-title>. <source>Comput. Sci. Eng.</source> <volume>16</volume> (<issue>5</issue>), <fpage>62</fpage>&#x2013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1109/MCSE.2014.80</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Huber</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Maehrlein</surname>
<given-names>S. F.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>X.-Y.</given-names>
</name>
</person-group> (<year>2021a</year>). <article-title>Optical anisotropy and phase transitions in lead halide perovskites</article-title>. <source>J. Phys. Chem. Lett.</source> <volume>12</volume> (<issue>20</issue>), <fpage>5016</fpage>&#x2013;<lpage>5022</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpclett.1c00918</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J.-C.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Geng</surname>
<given-names>W.-T.</given-names>
</name>
</person-group> (<year>2021b</year>). <article-title>Vaspkit: A user-friendly interface facilitating high-throughput computing and analysis using VASP code</article-title>. <source>Comput. Phys. Commun.</source> <volume>267</volume>, <fpage>108033</fpage>. <pub-id pub-id-type="doi">10.1016/j.cpc.2021.108033</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>B.-L.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>C.-L.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>F.-F.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>R.-L.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>J.-G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Highly polarizable Hg<sup>2&#x2b;</sup> induced a strong second harmonic generation signal and large birefringence in LiHgPO<sub>4</sub>
</article-title>. <source>J. Am. Chem. Soc.</source> <volume>141</volume> (<issue>26</issue>), <fpage>10188</fpage>&#x2013;<lpage>10192</lpage>. <pub-id pub-id-type="doi">10.1021/jacs.9b05125</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ye</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>Linear and nonlinear optical properties of the KBe<sub>2</sub>BO<sub>3</sub>F<sub>2</sub> (KBBF) crystal</article-title>. <source>Opt. Mater.</source> <volume>5</volume> (<issue>1&#x2013;2</issue>), <fpage>105</fpage>&#x2013;<lpage>109</lpage>. <pub-id pub-id-type="doi">10.1016/0925-3467(95)00050-X</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Divitt</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Agrawal</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Low-loss metasurface optics down to the deep ultraviolet region</article-title>. <source>Light Sci. Appl.</source> <volume>9</volume> (<issue>1</issue>), <fpage>55</fpage>. <pub-id pub-id-type="doi">10.1038/s41377-020-0287-y</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zou</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ok</surname>
<given-names>K. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Novel ultraviolet (UV) nonlinear optical (NLO) materials discovered by chemical substitution-oriented design</article-title>. <source>Chem. Sci.</source> <volume>11</volume> (<issue>21</issue>), <fpage>5404</fpage>&#x2013;<lpage>5409</lpage>. <pub-id pub-id-type="doi">10.1039/D0SC01936D</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>