<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">MSCE</journal-id><journal-title-group><journal-title>Journal of Materials Science and Chemical Engineering</journal-title></journal-title-group><issn pub-type="epub">2327-6045</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/msce.2024.121003</article-id><article-id pub-id-type="publisher-id">MSCE-130540</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  The Crystal Structure Study of CaSrFe&lt;sub&gt;0.75&lt;/sub&gt;Co&lt;sub&gt;0.75&lt;/sub&gt;Mn&lt;sub&gt;0.5&lt;/sub&gt;O&lt;sub&gt;6&amp;#8722;&lt;i&gt;δ&lt;/i&gt;&lt;/sub&gt; by Neutron Diffraction
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Amara</surname><given-names>Martinson</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mandy</surname><given-names>Guinn</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ram</surname><given-names>Krishna Hona</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Environmental Science, United Tribes Technical College, Bismarck, USA</addr-line></aff><pub-date pub-type="epub"><day>15</day><month>01</month><year>2024</year></pub-date><volume>12</volume><issue>01</issue><fpage>29</fpage><lpage>35</lpage><history><date date-type="received"><day>10,</day>	<month>December</month>	<year>2023</year></date><date date-type="rev-recd"><day>15,</day>	<month>January</month>	<year>2024</year>	</date><date date-type="accepted"><day>18,</day>	<month>January</month>	<year>2024</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The crystal structure of CaSrFe
  <sub>0.75</sub>Co
  <sub>0.75</sub>Mn
  <sub>0.5</sub>O
  <sub>6&amp;#8722;<em>δ</em></sub> is investigated through neutron diffraction techniques in this study. The material is synthesized using a solid-state synthesis method at a temperature of 1200
  &amp;#730;C. Neutron diffraction data is subjected to Rietveld refinement, and a comparative analysis with X-ray diffraction (XRD) data is performed to unravel the structural details of the material. The findings reveal that the synthesized material exhibits a cubic crystal structure with a Pm-3m phase. The neutron diffraction results offer valuable insights into the arrangement of atoms within the lattice, contributing to a comprehensive understanding of the material’s structural properties. This research enhances our knowledge of 
  CaSrFe
  <sub style="white-space:normal;">0.75</sub>
  Co
  <sub style="white-space:normal;">0.75</sub>
  Mn
  <sub style="white-space:normal;">0.5</sub>
  O
  <sub style="white-space:normal;">6&amp;#8722;<em>δ</em></sub>, with potential implications for its applications in various technological and scientific domains.
 
</p></abstract><kwd-group><kwd>XRD</kwd><kwd> Neutron Diffraction</kwd><kwd> Perovskite Oxides</kwd><kwd> Crystal Structure</kwd><kwd> Solid-State Reaction</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Perovskite oxides exhibit a wide range of interesting and useful properties, such as ferroelectricity, [<xref ref-type="bibr" rid="scirp.130540-ref1">1</xref>] piezoelectricity, [<xref ref-type="bibr" rid="scirp.130540-ref2">2</xref>] superconductivity, [<xref ref-type="bibr" rid="scirp.130540-ref3">3</xref>] and catalytic activity. [<xref ref-type="bibr" rid="scirp.130540-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.130540-ref5">5</xref>] Due to these properties, perovskite oxides find applications in various fields, including electronics, catalysis, and energy storage. Perovskite oxides are recently the focus of research because of their potential applications in technology such as solid oxide fuel cells, [<xref ref-type="bibr" rid="scirp.130540-ref6">6</xref>] metal-air batteries, [<xref ref-type="bibr" rid="scirp.130540-ref7">7</xref>] Lithium battery, [<xref ref-type="bibr" rid="scirp.130540-ref8">8</xref>] electrocatalysis, [<xref ref-type="bibr" rid="scirp.130540-ref9">9</xref>] thermal insulation, [<xref ref-type="bibr" rid="scirp.130540-ref10">10</xref>] sensors, [<xref ref-type="bibr" rid="scirp.130540-ref11">11</xref>] and photovoltaics. [<xref ref-type="bibr" rid="scirp.130540-ref12">12</xref>] Oxygen plays an important role for the material to demonstrate a functional property, leading to exhibit excellent catalytic behavior in many transition-metal oxides. Perovskite-type systems, with the general formula ABO<sub>3</sub>, are especially interesting, where A is usually an alkaline-earth metal or lanthanide, and B is usually a transition metal. The large A cations are located in spaces between corner-sharing BO<sub>6</sub> octahedra.</p><p>It is possible to form oxide perovskite materials with some degree of oxygen deficiency. [<xref ref-type="bibr" rid="scirp.130540-ref13">13</xref>] In some cases, the vacant sites created due to oxygen deficiency can be distributed in the structure arbitrarily, forming a disordered system. One such material with a vacancy-disordered system is CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub>. [<xref ref-type="bibr" rid="scirp.130540-ref9">9</xref>] Among a series of compounds reported with different Mn concentrations in the composition CaSrFe<sub>1−x</sub>Co<sub>1−x</sub>Mn<sub>0.2x</sub>O<sub>6−δ</sub>, the composition with x = 0.25 demonstrated high efficiency of catalytic performance in oxygen generation and green hydrogen generation by water splitting.</p><p>Structural properties are the backbone for the functional properties and efficiency of material toward any application performance. So, scientists generally study in depth the structural properties of a material that illustrates outstanding performance with a better functional property. Since CaSrFe<sub>0.75</sub>Co<sub>0.75</sub> Mn<sub>0.5</sub>O<sub>6−δ</sub> outperformed the electrocatalytic behavior of water splitting for oxygen and hydrogen production, we are interested in studying its crystal structure by neutron diffraction. CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub> has been reported for its structural analysis by powder XRD, SEM and XPS. However, its structural analysis has not been reported by powder neutron diffraction which can support the previously reported structural data of XRD for this material.</p></sec><sec id="s2"><title>2. Experimental</title><p>CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub> was synthesized by solid state reaction method at high temperatures by mixing Stoichiometric amount of CaCO<sub>3</sub>, SrCO<sub>3</sub>, Fe<sub>2</sub>O<sub>3</sub>, Co<sub>3</sub>O<sub>4</sub> and Mn<sub>2</sub>O<sub>3</sub>. The precursor chemicals were mixed uniformly in agate mortar and pestle. The mixture is pelletized using pellet die and a hydraulic pressure at a pressure of 3 tons. The dimensions of the cylindrical pellets were 2 - 3 mm thick with a diameter of 10 mm. They were fired at 1000˚C in the air in a muffle furnace for 12 hours. The heating and cooling rate was 5 degrees per minute. Once the pellet was cooled down, it was powdered and repelletized which was followed by a second firing at 1200˚C. It was heated at 1200˚C for 24 hours. This time the heating and cooling ramp was maintained at a rate of 100 degrees per hour. The cold pellet was powdered which was subjected to phase purity and structure of the polycrystalline samples were determined by powder X-ray diffraction (XRD) [<xref ref-type="bibr" rid="scirp.130540-ref14">14</xref>] at room temperature using Cu Kα1 radiation (λ = 1.54056 &#197;) using Bruker phaser D2 diffractometer and neutron diffraction at room temperature. The GSAS software [<xref ref-type="bibr" rid="scirp.130540-ref15">15</xref>] and EXPEGUI [<xref ref-type="bibr" rid="scirp.130540-ref16">16</xref>] interface were used for Rietveld refinements.</p></sec><sec id="s3"><title>3. Results and Discussion</title><p>CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub> is an oxygen deficient cubic perovskite oxide. It has Pm-3m space group. Its XRD data and Rietveld refined cell parameters are shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="table" rid="table1">Table 1</xref>, respectively. The results are in agreement with the previous report. [<xref ref-type="bibr" rid="scirp.130540-ref9">9</xref>] The crystal structure and its neutron diffraction data are shown in <xref ref-type="fig" rid="fig2">Figure 2</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref>, respectively. Neutron diffraction data also shows the cubic structure with Pm-3m space group in agreement with the XRD data. Its refined cell parameters are shown in <xref ref-type="table" rid="table2">Table 2</xref>. As mentioned in introduction, oxygen deficient perovskites are represented by a general formula ABO<sub>3−δ</sub> or A<sub>2</sub>B<sub>2</sub>O<sub>6−δ</sub> where A is alkaline earth metal and B is 3d or 4d transition metal. In our material CaSrFe<sub>0.75</sub>Co<sub>0.75</sub> Mn<sub>0.5</sub>O<sub>6−δ,</sub> A site is occupied by Ca and Sr and B site is occupied by Fe, Co and Mn.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> The unit cell parameters and Powder X-ray data refinement profile for CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6-δ</sub></title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Space group</th><th align="center" valign="middle" >Cell volume (&#197;<sup>3</sup>)</th><th align="center" valign="middle" >A (&#197;)</th><th align="center" valign="middle" >Angles</th><th align="center" valign="middle" >WRp</th><th align="center" valign="middle"  colspan="2"  >Rp</th></tr></thead><tr><td align="center" valign="middle" >Pm-3m</td><td align="center" valign="middle" >56.092 (8)</td><td align="center" valign="middle" >3.82795 (6)</td><td align="center" valign="middle" >90˚</td><td align="center" valign="middle" >0.0423</td><td align="center" valign="middle"  colspan="2"  >0.0322</td></tr><tr><td align="center" valign="middle" >Elements</td><td align="center" valign="middle" >x</td><td align="center" valign="middle" >y</td><td align="center" valign="middle" >z</td><td align="center" valign="middle" >Multiplicity</td><td align="center" valign="middle" >Occupancy</td><td align="center" valign="middle" >Uiso</td></tr><tr><td align="center" valign="middle" >Ca</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0269 (2)</td></tr><tr><td align="center" valign="middle" >Sr</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0269 (2)</td></tr><tr><td align="center" valign="middle" >Fe</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.375</td><td align="center" valign="middle" >0.0439 (8)</td></tr><tr><td align="center" valign="middle" >Mn</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.250</td><td align="center" valign="middle" >0.0439 (8)</td></tr><tr><td align="center" valign="middle" >Co</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.375</td><td align="center" valign="middle" >0.0439 (8)</td></tr><tr><td align="center" valign="middle" >O</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.8533</td><td align="center" valign="middle" >0.0599 (4)</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> The unit cell parameters and powder neutron diffraction data refinement profile for CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6-δ</sub></title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Space group</th><th align="center" valign="middle" >Cell volume (&#197;<sup>3</sup>)</th><th align="center" valign="middle" >A (&#197;)</th><th align="center" valign="middle" >Angles</th><th align="center" valign="middle" >wRp</th><th align="center" valign="middle"  colspan="2"  >Rp</th></tr></thead><tr><td align="center" valign="middle" >Pm-3m</td><td align="center" valign="middle" >55.774 (4)</td><td align="center" valign="middle" >3.8207 (1)</td><td align="center" valign="middle" >90˚</td><td align="center" valign="middle" >0.0993</td><td align="center" valign="middle"  colspan="2"  >0.1061</td></tr><tr><td align="center" valign="middle" >Elements</td><td align="center" valign="middle" >x</td><td align="center" valign="middle" >y</td><td align="center" valign="middle" >z</td><td align="center" valign="middle" >Multiplicity</td><td align="center" valign="middle" >Occupancy</td><td align="center" valign="middle" >Uiso</td></tr><tr><td align="center" valign="middle" >Ca</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0117 (6)</td></tr><tr><td align="center" valign="middle" >Sr</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0117 (4)</td></tr><tr><td align="center" valign="middle" >Fe</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.375</td><td align="center" valign="middle" >0.0095 (5)</td></tr><tr><td align="center" valign="middle" >Mn</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.250</td><td align="center" valign="middle" >0.0095 (5)</td></tr><tr><td align="center" valign="middle" >Co</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.375</td><td align="center" valign="middle" >0.0095 (5)</td></tr><tr><td align="center" valign="middle" >O</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.8533</td><td align="center" valign="middle" >0.0323 (8)</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Comparison of the bond lengths (&#197;) between neutron diffraction and powder X-ray diffraction data</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Neutron</th><th align="center" valign="middle" >XRD</th></tr></thead><tr><td align="center" valign="middle" >Ca-O 2.70146 (3)</td><td align="center" valign="middle" >Ca-O 2.70680 (2)</td></tr><tr><td align="center" valign="middle" >Sr-O 2.70146 (3)</td><td align="center" valign="middle" >Sr-O 2.70680 (2)</td></tr><tr><td align="center" valign="middle" >Fe-O 1.91022 (3)</td><td align="center" valign="middle" >Fe-O 1.91399 (2)</td></tr><tr><td align="center" valign="middle" >Co-O 1.91022 (3)</td><td align="center" valign="middle" >Co-O 1.91399 (2)</td></tr><tr><td align="center" valign="middle" >Mn-O 1.91022 (3)</td><td align="center" valign="middle" >Mn-O 1.91399 (2)</td></tr></tbody></table></table-wrap><p>If we closely look at <xref ref-type="fig" rid="fig2">Figure 2</xref>, it can be seen that the Fe/Co/Mn atoms (seen as green spheres) are surrounded by 6 oxygen atoms (small red spheres) in octahedral positions. Here, imaginary planes (black planes) are drawn connecting oxygen atoms to make the octahedral structures clear. It can be represented as BO<sub>6</sub> octahedra. So, Fe/Co/Mn atoms are 6 coordinated throughout the crystal lattice as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>(a) except at the oxygen deficient positions (which are not shown due to uncertainty). Since the composition is CaSrFe<sub>0.75</sub>Co<sub>0.75</sub> Mn<sub>0.5</sub>O<sub>6−δ</sub>, Fe and Co occupy 75% of the B site positions, each occupying 37.5% of the total B site positions and Mn occupies 25% of the B-site positions. It can be seen in <xref ref-type="fig" rid="fig2">Figure 2</xref>(c) that the whitish grey largest sphere, which is Ca/Sr atom, is surrounded by 8 octahedra. Ca and Sr share equally the A-site positions, each occupying 50% of the A-sites. Ca/Sr is 12 coordinated except at the oxygen deficient positions (which are not shown due to uncertainty). The octahedra are connected to one another by corner sharing through oxygen. Thus, the bonding pattern is B-O-B where B is Fe/Co/Mn. The B-O-B bond angle is 180˚. The B-O-B bonds lengths are shown in <xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="table" rid="table3">Table 3</xref> for XRD and Neutron diffraction.</p></sec><sec id="s4"><title>4. Conclusion</title><p>A perovskite material with a composition of CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub> was synthesized by solid-state reaction at 1200 C. Its crystal structure was investigated by neutron diffraction and compared with that of XRD data. Neutron data revealed its structure cubic with the Pm-3m phase which supported the XRD data. The study showed that the B cations are surrounded by 6 oxygens forming BO<sub>6</sub> octahedra which are interconnected by corner sharing through O-atoms and A cations are surrounded by 8 such octahedra.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This work is supported in part by the National Science Foundation Tribal College and University Program Instructional Capacity Excellence in TCUP Institutions (ICE-TI) award # 1561004. A part of this work is also supported by NSF grant No. HRD 1839895. Additional support for the work came from ND EPSCOR STEM grants for the purchase of potentiostat and X-ray diffractometer. Permission was granted by United Tribes Technical Colleges (UTTC) Environ-mental Science Department to publish this information. The views expressed are those of the authors and do not necessarily represent those of United Tribes Technical College.</p></sec><sec id="s6"><title>Funding</title><p>Instructional Capacity Excellence in TCUP Institutions (ICE-TI) award #1561004 and NSF Tribal Enterprise Advancement Center award grant No. HRD 1839895.</p></sec><sec id="s7"><title>Institutional Review Board Statement</title><p>Not Applicable.</p></sec><sec id="s8"><title>Informed Consent Statement</title><p>Not applicable.</p></sec><sec id="s9"><title>Conflicts of Interest</title><p>The authors declare no conflict of interest.</p></sec><sec id="s10"><title>Cite this paper</title><p>Martinson, A., Guinn, M. and Hona, R.K. (2024) The Crystal Structure Study of CaSrFe<sub>0.75</sub>Co<sub>0.75</sub>Mn<sub>0.5</sub>O<sub>6−δ</sub> by Neutron Diffraction. 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