High-entropy (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 with good high temperature stability, low thermal conductivity and anisotropic thermal expansivity
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A novel high-entropy rare-earth aluminate (Nd$_{0.2}$Sm$_{0.2}$Eu$_{0.2}$Y$_{0.2}$Yb$_{0.2}$)$_4$Al$_2$O$_9$ was synthesized, exhibiting good high-temperature phase stability, low thermal conductivity, and anisotropic thermal expansion.
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The paper studied a newly designed high-entropy cuspidine-structured rare-earth aluminate solid solution, (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9, using synthesis and materials characterization aimed at environmental barrier coating requirements for silicon-based ceramic matrix composites. The authors report that the as-synthesized material has a thermal expansion coefficient close to mullite from 300–1473 K, shows good phase stability over the same temperature range, exhibits low room-temperature thermal conductivity (1.50 W·m−1·K−1), and displays anisotropic thermal expansion attributed to anisotropic chemical bonding, while low thermal conductivity is linked to lattice distortion and mass differences. A major caveat explicitly stated is that this work is a preprint (not originally peer reviewed at the time of posting). This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.
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Abstract The critical requirements for the environmental barrier coating (EBC) materials of silicon-based ceramic matrix composites (CMCs) including good tolerance to harsh environments, thermal expansion match with the interlayer mullite, good high-temperature phase stability and low thermal conductivity. Cuspidine-structured rare-earth aluminates RE4Al2O9 have been considered as candidates of EBCs for their superior mechanical and thermal properties, but the phase transition at high temperatures is a notable drawback of these materials. To suppress the phase transition and improve the phase stability, a novel cuspidine-structured rare-earth aluminate solid solution (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 was designed and successfully synthesized inspired by entropy stabilization effect of high entropy ceramics. The as-synthesized (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 exhibits close thermal expansion coefficient (6.96×10-6 /K at 300-1473 K) to that of mullite, good phase stability from 300 K to 1473 K, and low thermal conductivity (1.50 W·m-1·K-1 at room temperature). In addition, strong anisotropic thermal expansion has been observed compared to Y4Al2O9 and Yb4Al2O9. The mechanism for low thermal conductivity is attributed to the lattice distortion and mass difference of the constituent atoms while the anisotropic thermal expansion is due to the anisotropic chemical bonding enhanced by the large size rare earth cations.
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High-entropy (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 with good high temperature stability, low thermal conductivity and anisotropic thermal expansivity | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article High-entropy (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 with good high temperature stability, low thermal conductivity and anisotropic thermal expansivity Zifan Zhao, Huimin Xiang, Heng Chen, Fu-zhi Dai, Xiaohui Wang, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-31240/v2 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 30 Sep, 2020 Read the published version in Journal of Advanced Ceramics → Version 2 posted 4 You are reading this latest preprint version Show more versions Abstract The critical requirements for the environmental barrier coating (EBC) materials of silicon-based ceramic matrix composites (CMCs) including good tolerance to harsh environments, thermal expansion match with the interlayer mullite, good high-temperature phase stability and low thermal conductivity. Cuspidine-structured rare-earth aluminates RE 4 Al 2 O 9 have been considered as candidates of EBCs for their superior mechanical and thermal properties, but the phase transition at high temperatures is a notable drawback of these materials. To suppress the phase transition and improve the phase stability, a novel cuspidine-structured rare-earth aluminate solid solution (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 was designed and successfully synthesized inspired by entropy stabilization effect of high entropy ceramics. The as-synthesized (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 exhibits close thermal expansion coefficient (6.96×10 -6 /K at 300-1473 K) to that of mullite, good phase stability from 300 K to 1473 K, and low thermal conductivity (1.50 W·m -1 ·K -1 at room temperature). In addition, strong anisotropic thermal expansion has been observed compared to Y 4 Al 2 O 9 and Yb 4 Al 2 O 9 . The mechanism for low thermal conductivity is attributed to the lattice distortion and mass difference of the constituent atoms while the anisotropic thermal expansion is due to the anisotropic chemical bonding enhanced by the large size rare earth cations. Ceramics (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 high-entropy ceramics environmental barrier coatings phase stability thermal properties Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Full Text Tables Table 1 Space group, cation radius and radius difference of RE 4 Al 2 O 9 for design of high-entropy rare-earth aluminates (The data are obtained from the database of Materials Studio program, © Accelrys Inc., San Diego, USA, 2014). Space group Rare-earth elements Cation radius (Å) Radius difference (%) RE 4 Al 2 O 9 P 2 1 /c Nd 0.98 12.64 Sm 0.96 10.34 Eu 0.95 9.20 Y 0.90 3.45 Yb 0.87 0 Table 2 Refined lattice parameters , relative change of lattice parameters and theoretical density of high-entropy (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 together with those of the single-component RE 4 Al 2 O 9 (RE= Nd, Sm, Eu, Y and Yb) obtained from ICDD/JCPDS cards. Phase a (Å) b (Å) c (Å) Δ a / a Yb (%) Δ b / b Yb (%) Δ c / c Yb (%) b (º) d (g/cm 3 ) HE RE 4 Al 2 O 9 7.511 10.573 11.172 3.20 2.55 1.20 109.1 6.06 Nd 4 Al 2 O 9 7.725 10.846 11.306 6.14 5.20 2.41 109.3 6.63 Sm 4 Al 2 O 9 7.520 10.700 11.190 3.33 3.78 1.36 108.9 6.99 Eu 4 Al 2 O 9 7.533 10.696 11.180 3.50 3.74 1.27 108.8 6.76 Y 4 Al 2 O 9 7.379 10.469 11.116 1.39 1.54 0.69 108.6 5.28 Yb 4 Al 2 O 9 7.278 10.310 11.040 0 0 0 108.3 8.30 Table 3 Anisotropic thermal expansion coefficients ( α a , α b , and α c ) and volumetric thermal expansion coefficient ( α V ) of (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 together with those of Y 4 Al 2 O 9 . Compounds α a (10 -6 /K) α b (10 -6 /K) α c (10 -6 /K) α V (10 -6 /K) HE RE 4 Al 2 O 9 10.59 8.93 5.66 24.40 Y 4 Al 2 O 9 7.34 7.54 7.61 23.37 Table 4 Chemical parameters of each bond for (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 and Y 4 Al 2 O 9 by chemical bond theory. Y 4 Al 2 O 9 (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 Bond l m (Å) f c m U m (kJ∙mol -1 ) l m (Å) f c m U m (kJ∙mol -1 ) RE1-O3 2.0622 0.12 930 2.0931 0.13 919 RE1-O8 2.0917 0.12 999 2.0967 0.13 997 RE1-O7 2.2460 0.22 950 2.2778 0.22 940 RE1-O2 2.3991 0.12 897 2.4330 0.12 887 RE1-O6 2.5124 0.12 865 2.5247 0.12 862 RE1-O1 2.6015 0.12 841 2.6395 0.12 831 RE1-O5 2.8560 0.11 779 2.8723 0.12 775 RE2-O2 1.9238 0.18 1306 1.9509 0.18 1292 RE2-O3 2.1103 0.16 1116 2.1377 0.16 1105 RE2-O9 2.2430 0.17 1162 2.2482 0.17 1160 RE2-O1 2.3228 0.29 1130 2.3519 0.29 1119 RE2-O4 2.4799 0.16 1074 2.4936 0.16 1069 RE2-O7 2.5044 0.16 1065 2.5410 0.16 1053 RE3-O8 2.1966 0.12 962 2.2225 0.12 953 RE3-O2 2.2160 0.12 955 2.2279 0.12 951 RE3-O4 2.2762 0.12 935 2.3098 0.12 925 RE3-O8 2.4375 0.12 886 2.4467 0.12 884 RE3-O5 2.5367 0.12 858 2.5473 0.12 855 RE3-O6 2.5893 0.12 844 2.6255 0.12 835 RE3-O9 2.7703 0.11 799 2.8103 0.12 789 RE4-O3 2.1601 0.12 974 2.1866 0.12 965 RE4-O6 2.2073 0.12 958 2.2223 0.12 948 RE4-O9 2.2141 0.12 956 2.2381 0.12 953 RE4-O9 2.2888 0.12 931 2.3177 0.12 922 RE4-O8 2.4787 0.12 874 2.5148 0.12 864 RE4-O1 2.5418 0.12 857 2.5544 0.12 853 RE4-O7 2.7460 0.11 804 2.7523 0.12 803 Al1-O4 1.7267 0.57 2297 1.7314 0.58 2290 Al1-O3 1.8286 0.35 2097 1.8457 0.35 2082 Al1-O5 1.8338 0.39 2275 1.8644 0.39 2246 Al1-O2 1.9883 0.38 2146 1.9975 0.38 2136 Al2-O6 1.5632 0.41 2539 1.5703 0.41 2529 Al2-O5 1.6917 0.40 2407 1.7201 0.40 2377 Al2-O7 1.7978 0.39 2307 1.8114 0.39 2292 Al2-O1 1.8279 0.39 2280 1.8348 0.39 2272 Table 5 Thermal diffusivity ( D th ), heat capacity ( C p ), bulk density ( d ) and thermal conductivity ( κ ) of (Nd 0.2 Sm 0.2 Eu 0.2 Y 0.2 Yb 0.2 ) 4 Al 2 O 9 measured at room temperature. D th (mm 2 /s) C p (J·mol -1 ·K -1 ) d (g/cm 3 ) κ (W·m -1 ·K -1 ) 0.62 306.92 6.02 1.50 Cite Share Download PDF Status: Published Journal Publication published 30 Sep, 2020 Read the published version in Journal of Advanced Ceramics → Version 2 posted Editorial decision: Accept 18 Jun, 2020 Editor assigned by journal 16 Jun, 2020 Submission checks completed at journal 15 Jun, 2020 Editor invited by journal 15 Jun, 2020 You are reading this latest preprint version Show more versions Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-31240","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":676377,"identity":"4f6f0874-af52-42da-912f-edb206bfb0ea","order_by":0,"name":"Zifan Zhao","email":"","orcid":"","institution":"Aerospace Research Institute of Materials and Processing Technology","correspondingAuthor":false,"prefix":"","firstName":"Zifan","middleName":"","lastName":"Zhao","suffix":""},{"id":676378,"identity":"d9ffeae4-892f-4f6a-b943-cfaf91d410ed","order_by":1,"name":"Huimin Xiang","email":"","orcid":"","institution":"Aerospace Research Institute of 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2","display":"","copyAsset":false,"role":"figure","size":78213,"visible":true,"origin":"","legend":"XRD pattern of as-synthesized (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 powders together with the data of single-component RE4Al2O9 (RE= Nd, Sm, Eu, Y and Yb) obtained from ICDD/JCPDS cards.","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/2.png"},{"id":1566567,"identity":"5d203065-3a70-4828-9fc0-d09ca523cd24","added_by":"auto","created_at":"2020-07-15 15:52:53","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":49556,"visible":true,"origin":"","legend":"XRD pattern of the as-sintered (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 compact.","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/3.png"},{"id":1566568,"identity":"bf59b2fc-66f0-4c2f-98b2-411e7b2a3784","added_by":"auto","created_at":"2020-07-15 15:52:54","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":2676302,"visible":true,"origin":"","legend":"SEM image of the as-sintered (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 compact after thermally etched at 1673 K for 2 h and the corresponding EDS mappings of rare-earth elements (Nd, Sm, Eu, Y and Yb).","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/4.png"},{"id":1566569,"identity":"49582742-7d7a-4eaa-a195-772a1b70c33d","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":80324,"visible":true,"origin":"","legend":"Linear thermal expansion curve of (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 measured at 300-1473 K.","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/7.png"},{"id":1566570,"identity":"86840b52-ac4c-4284-bf05-b304d83897ff","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":108151,"visible":true,"origin":"","legend":"XRD patterns of (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 powders at different temperatures.","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/6.png"},{"id":1566571,"identity":"84b1f50d-33f0-43d0-bb90-dbcec88b5120","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":51828,"visible":true,"origin":"","legend":"Normalized lattice parameters of (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 at 300-1473 K.","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/5.png"},{"id":1566572,"identity":"3e8708f4-8eb1-48ed-9cbf-ecc96f34df34","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":1796793,"visible":true,"origin":"","legend":"Surface contour of the thermal expansion coefficients of (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 and planar projections of the thermal expansion coefficients on (001), (010), and (100) crystallographic planes.","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/8.png"},{"id":1566573,"identity":"b9d334bb-122e-4a37-963f-4cac3dc22422","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":3204288,"visible":true,"origin":"","legend":"Planar projections of the crystal structure of (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 on (001), (010), and (100) crystallographic planes.","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/9.png"},{"id":1566574,"identity":"ea18fdf2-8923-432a-b22c-99bef5315574","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":69246,"visible":true,"origin":"","legend":"Relative change of the lattice parameters of RE4Al2O9 (RE= Nd, Sm, Eu, Y and Yb) as a function of RE3+ radius.","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/10.png"},{"id":1566575,"identity":"93ac8884-7735-4f3a-8a59-958656f8bac6","added_by":"auto","created_at":"2020-07-15 15:52:55","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":1367649,"visible":true,"origin":"","legend":"Spatial configuration of RE-O polyhedra for (a) RE1, (b) RE2, (c) RE3, and (d) RE4 site, respectively.","description":"","filename":"11.png","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/11.png"},{"id":13515548,"identity":"c195967c-9e8b-497f-aae5-5d9086537ce4","added_by":"auto","created_at":"2021-09-17 00:08:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2808295,"visible":true,"origin":"","legend":"","description":"","filename":"HERE4Al2O920200613.pdf","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2_covered.pdf"},{"id":13506285,"identity":"3e39a2f1-0f37-4e55-840d-35ae6dad12fa","added_by":"auto","created_at":"2021-09-16 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15:52:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1696217,"visible":true,"origin":"","legend":"","description":"","filename":"HERE4Al2O920200613.pdf","url":"https://assets-eu.researchsquare.com/files/rs-31240/v2/HERE4Al2O920200613.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eHigh-entropy (Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e with good high temperature stability, low thermal conductivity and anisotropic thermal expansivity\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"\u003cp\u003eThis preprint is available for \u003ca href='/article/rs-31240/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e.\u003c/p\u003e"},{"header":"Tables","content":"\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cstrong\u003e\u003cspan style=\"font-size: 16px; line-height: 200%; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);\"\u003eTable 1\u003c/span\u003e\u003c/strong\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;Space group, cation radius and radius difference of RE\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e for design of high-entropy rare-earth aluminates\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e(The data are obtained from the database of Materials Studio program,\u0026nbsp;\u003c/span\u003e\u0026copy;\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eAccelrys Inc., San Diego, USA, 2014).\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003ctable style=\"border: none;width:99.98%;border-collapse:collapse;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:19.82%;border-top:solid black 2.25pt;border-left: none;border-bottom:solid black 1.0pt;border-right:none;padding:.75pt .75pt 0in .75pt;height:42.25pt;\"\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cbr\u003e\u003c/span\u003e\u003c/span\u003e\u003c/td\u003e\n \u003ctd style=\"width:19.78%;border-top:solid black 2.25pt;border-left: none;border-bottom:solid black 1.0pt;border-right:none;padding:0in 0in 0in 0in;height:42.25pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eSpace group\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:19.76%;border-top:solid black 2.25pt;border-left: none;border-bottom:solid black 1.0pt;border-right:none;padding:.75pt .75pt 0in .75pt;height:42.25pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eRare-earth elements\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;border-top:solid black 2.25pt;border-left: none;border-bottom:solid black 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:42.25pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eCation radius (\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.32%;border-top:solid black 2.25pt;border-left: none;border-bottom:solid black 1.0pt;border-right:none;padding:.75pt .75pt 0in .75pt;height:42.25pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eRadius difference (%)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"5\" style=\"width:19.8%;border:none;border-bottom:solid black 2.25pt;padding:.75pt .75pt 0in .75pt;height:35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eRE\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e4\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"5\" style=\"width:19.78%;border:none;border-bottom:solid black 2.25pt;padding:0in 0in 0in 0in;height:35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height: 200%;\"\u003eP\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e2\u003csub\u003e1\u003c/sub\u003e\u003cem\u003e/c\u003c/em\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:19.76%;border:none;padding:.75pt .75pt 0in .75pt;height:35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eNd\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;border:none;padding:.05in .1in .05in .1in;height:35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e0.98\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;border:none;padding:.75pt .75pt 0in .75pt;height:35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e12.64\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:19.76%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eSm\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;padding:.05in .1in .05in .1in;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e0.96\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.32%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e10.34\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:19.76%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eEu\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;padding:.05in .1in .05in .1in;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e0.95\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.32%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e9.20\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:19.76%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eY\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;padding:.05in .1in .05in .1in;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e0.90\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.32%;padding:.75pt .75pt 0in .75pt;height: 35.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e3.45\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:19.76%;border:none;border-bottom:solid black 2.25pt;padding:.75pt .75pt 0in .75pt;height:1.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eYb\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.34%;border:none;border-bottom:solid black 2.25pt;padding:.05in .1in .05in .1in;height:1.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e0.87\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.32%;border:none;border-bottom:solid black 2.25pt;padding:.75pt .75pt 0in .75pt;height:1.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e0\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cbr\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cstrong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eTable 2\u003c/span\u003e\u003c/strong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;Refined\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003elattice parameters\u003c/span\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e, relative change of\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003elattice parameters\u003c/span\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;and theoretical density of high-entropy\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e(Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e together with those of the single-component\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eRE\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e (RE= Nd, Sm, Eu, Y and Yb) obtained from ICDD/JCPDS cards.\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003ctable style=\"border: none;width:105.58%;margin-left:-14.1pt;border-collapse:collapse;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:13.9%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ePhase\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.12%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ea\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.44%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eb\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.36%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ec\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e\u0026Delta;\u003cem\u003ea\u003c/em\u003e/\u003cem\u003ea\u003c/em\u003e\u003csub\u003eYb\u003c/sub\u003e (%)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e\u0026Delta;\u003cem\u003eb\u003c/em\u003e/\u003cem\u003eb\u003c/em\u003e\u003csub\u003eYb\u003c/sub\u003e (%)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.12%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e\u0026Delta;\u003cem\u003ec\u003c/em\u003e/\u003cem\u003ec\u003c/em\u003e\u003csub\u003eYb\u003c/sub\u003e (%)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.64%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size: 16px; line-height: 200%; font-family: Symbol; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;\"\u003eb\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size: 16px; line-height: 200%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;\"\u003e\u0026nbsp;(\u0026ordm;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:15.56%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ed\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(g/cm\u003csup\u003e3\u003c/sup\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:13.9%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eHE RE\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.12%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.511\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.44%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e10.573\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.36%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e11.172\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e3.20\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e2.55\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.12%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e1.20\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.64%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e109.1\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:15.56%;border:none;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e6.06\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:13.9%;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eNd\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.12%;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.725\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.44%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e10.846\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.36%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e11.306\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e6.14\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e5.20\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.12%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e2.41\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.64%;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New 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255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e0.69\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.64%;padding:.05in .1in .05in .1in;height:46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e108.6\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:15.56%;padding:.05in .1in .05in .1in;height: 46.95pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New 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style=\"font-size:16px;line-height:200%;\"\u003eYb\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.12%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.278\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.44%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e10.310\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.36%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e11.040\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e0\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.42%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e0\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:10.12%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;vertical-align:middle;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style='font-family: \"Times New Roman\", serif;'\u003e0\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:9.64%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e108.3\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:15.56%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:48.5pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e8.30\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cbr\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cstrong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eTable 3\u003c/span\u003e\u003c/strong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;Anisotropic thermal expansion coefficients (\u003cem\u003e\u003cspan style=\"background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;\"\u003e\u0026alpha;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;\"\u003ea\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;\"\u003e, \u003cem\u003e\u0026alpha;\u003c/em\u003e\u003csub\u003eb\u003c/sub\u003e, and \u003cem\u003e\u0026alpha;\u003c/em\u003e\u003csub\u003ec\u003c/sub\u003e\u003c/span\u003e) and volumetric thermal expansion coefficient (\u003cem\u003e\u0026alpha;\u003c/em\u003e\u003csub\u003eV\u003c/sub\u003e) of\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e(Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e together with those of\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eY\u003c/span\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e4\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003ctable style=\"width:100.0%;border-collapse:collapse;border:none;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:21.28%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eCompounds\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:18.72%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026alpha;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ea\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(10\u003csup\u003e-6\u003c/sup\u003e /K)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026alpha;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eb\u003c/span\u003e\u003c/sub\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e(10\u003csup\u003e-6\u003c/sup\u003e /K)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026alpha;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003ec\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(10\u003csup\u003e-6\u003c/sup\u003e /K)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border-top:solid windowtext 2.25pt;border-left:none;border-bottom:solid windowtext 1.0pt;border-right:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026alpha;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eV\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;(10\u003csup\u003e-6\u003c/sup\u003e /K)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:21.28%;border:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eHE RE\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:18.72%;border:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e10.59\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e8.93\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e5.66\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e24.40\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:21.28%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eY\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:18.72%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.34\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.54\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e7.61\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:20.0%;border:none;border-bottom:solid windowtext 2.25pt;padding:.05in .1in .05in .1in;height:46.0pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e23.37\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cstrong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eTable 4\u003c/span\u003e\u003c/strong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;Chemical parameters of each bond for\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e(Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;and Y\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e by chemical bond theory.\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cdiv align=\"center\" style='margin:0in;margin-bottom:.0001pt;text-align:justify;font-size:14px;font-family:\"Times New Roman\",serif;color:black;'\u003e\n \u003ctable style=\"width: 4.1e+2pt;border-collapse:collapse;border:none;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:55.45pt;border:none;border-top:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width:179.0pt;border:none;border-top:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003eY\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width:179.05pt;border:none;border-top:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size: 16px;\"\u003e(Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:55.45pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003eBond\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003el\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;\"\u003e\u0026nbsp;(\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003ef\u003csub\u003ec\u003c/sub\u003e\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003eU\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;\"\u003e\u0026nbsp;(kJ∙mol\u003csup\u003e-1\u003c/sup\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003el\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;\"\u003e\u0026nbsp;(\u0026Aring;)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003ef\u003csub\u003ec\u003c/sub\u003e\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.0pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size:16px;\"\u003eU\u003c/span\u003e\u003c/em\u003e\u003cem\u003e\u003csup\u003e\u003cspan style=\"font-size:16px;font-family:Symbol;\"\u003em\u003c/span\u003e\u003c/sup\u003e\u003c/em\u003e\u003cspan style=\"font-size:16px;\"\u003e\u0026nbsp;(kJ∙mol\u003csup\u003e-1\u003c/sup\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:55.45pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003eRE1-O3\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e2.0622\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New 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style=\"font-size:16px;\"\u003e1.7978\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e0.39\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e2307\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e1.8114\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e0.39\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e2292\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width:55.45pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003eAl2-O1\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e1.8279\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e0.39\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e2280\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e1.8348\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.65pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e0.39\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width:59.7pt;border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cspan style=\"font-size:16px;\"\u003e2272\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cbr\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:justify;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cstrong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003eTable 5\u003c/span\u003e\u003c/strong\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e\u0026nbsp;Thermal diffusivity (\u003c/span\u003e\u003cem\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eD\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eth\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size:16px;line-height:200%;\"\u003e),\u0026nbsp;\u003c/span\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eheat capacity (\u003cem\u003eC\u003c/em\u003e\u003csub\u003ep\u003c/sub\u003e), bulk density (\u003cem\u003ed\u003c/em\u003e) and thermal conductivity (\u003cem\u003e\u0026kappa;\u003c/em\u003e) of (Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u0026nbsp;\u003c/sub\u003emeasured\u0026nbsp;at room temperature.\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n\u003ctable style=\"border-collapse:collapse;border:none;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 106.5pt;border-top: 2.25pt solid windowtext;border-left: none;border-bottom: 1pt solid windowtext;border-right: none;padding: 0in 5.4pt;vertical-align: top;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eD\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eth\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e\u0026nbsp;(mm\u003csup\u003e2\u003c/sup\u003e/s)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 106.5pt;border-top: 2.25pt solid windowtext;border-left: none;border-bottom: 1pt solid windowtext;border-right: none;padding: 0in 5.4pt;vertical-align: top;\"\u003e\n \u003cp style='margin-right:0in;margin-left:0in;font-size:14px;font-family:\"Times New Roman\",serif;margin:0in;margin-bottom:.0001pt;text-align:center;color:black;line-height:200%;'\u003e\u003cspan style=\"background-color: rgb(255, 255, 255);\"\u003e\u003cspan style=\"color: rgb(0, 0, 0);\"\u003e\u003cem\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003eC\u003c/span\u003e\u003c/em\u003e\u003csub\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003ep\u003c/span\u003e\u003c/sub\u003e\u003cspan style=\"font-size: 16px; line-height: 200%;\"\u003e\u0026nbsp;(J\u0026middot;mol\u003csup\u003e-1\u003c/sup\u003e\u0026middot;K\u003csup\u003e-1\u003c/sup\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 106.55pt;border-top: 2.25pt solid windowtext;border-left: 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AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"(Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9; high-entropy ceramics; environmental barrier coatings; phase stability; thermal properties","lastPublishedDoi":"10.21203/rs.3.rs-31240/v2","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-31240/v2","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe critical requirements for the environmental barrier coating (EBC) materials of silicon-based ceramic matrix composites (CMCs) including good tolerance to harsh environments, thermal expansion match with the interlayer mullite, good high-temperature phase stability and low thermal conductivity. Cuspidine-structured rare-earth aluminates RE\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e have been considered as candidates of EBCs for their superior mechanical and thermal properties, but the phase transition at high temperatures is a notable drawback of these materials. To suppress the phase transition and improve the phase stability, a novel cuspidine-structured rare-earth aluminate solid solution (Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e was designed and successfully synthesized inspired by entropy stabilization effect of high entropy ceramics. The as-synthesized (Nd\u003csub\u003e0.2\u003c/sub\u003eSm\u003csub\u003e0.2\u003c/sub\u003eEu\u003csub\u003e0.2\u003c/sub\u003eY\u003csub\u003e0.2\u003c/sub\u003eYb\u003csub\u003e0.2\u003c/sub\u003e)\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e exhibits close thermal expansion coefficient (6.96×10\u003csup\u003e-6 \u003c/sup\u003e/K at 300-1473 K) to that of mullite, good phase stability from 300 K to 1473 K, and low thermal conductivity (1.50 W·m\u003csup\u003e-1\u003c/sup\u003e·K\u003csup\u003e-1\u003c/sup\u003e at room temperature). In addition, strong anisotropic thermal expansion has been observed compared to Y\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e and Yb\u003csub\u003e4\u003c/sub\u003eAl\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e9\u003c/sub\u003e. The mechanism for low thermal conductivity is attributed to the lattice distortion and mass difference of the constituent atoms while the anisotropic thermal expansion is due to the anisotropic chemical bonding enhanced by the large size rare earth cations.\u003c/p\u003e","manuscriptTitle":"High-entropy (Nd0.2Sm0.2Eu0.2Y0.2Yb0.2)4Al2O9 with good high temperature stability, low thermal conductivity and anisotropic thermal expansivity","msid":"","msnumber":"","nonDraftVersions":[{"code":2,"date":"2020-07-15 15:52:52","doi":"10.21203/rs.3.rs-31240/v2","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Accept","date":"2020-06-18T12:00:00+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2020-06-16T12:00:00+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2020-06-15T12:00:00+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2020-06-15T12:00:00+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-advanced-ceramics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jace","sideBox":"Learn more about [Journal of Advanced Ceramics](http://link.springer.com/journal/40145)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/jace/default.aspx","title":"Journal of Advanced Ceramics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true}},{"code":1,"date":"2020-05-28 21:44:17","doi":"10.21203/rs.3.rs-31240/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"editorInvitedReview","content":"","date":"2020-06-11T12:00:00+00:00","index":2,"fulltext":"Recommendation: Reviewer's comments unavailable due to the journal's policy.\n"},{"type":"decision","content":"Major revisions","date":"2020-06-11T12:00:00+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2020-06-08T12:00:00+00:00","index":1,"fulltext":"Recommendation: Reviewer's comments unavailable due to the journal's policy.\n"},{"type":"reviewerAgreed","content":"","date":"2020-05-27T12:00:00+00:00","index":2,"fulltext":""},{"type":"reviewerAgreed","content":"","date":"2020-05-26T12:00:00+00:00","index":1,"fulltext":""},{"type":"checksComplete","content":"","date":"2020-05-25T12:00:00+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2020-05-25T12:00:00+00:00","index":"","fulltext":""},{"type":"reviewersInvited","content":"","date":"2020-05-25T12:00:00+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2020-05-24T12:00:00+00:00","index":"","fulltext":""},{"type":"submitted","content":"","date":"2020-05-23T12:00:00+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-advanced-ceramics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jace","sideBox":"Learn more about [Journal of Advanced Ceramics](http://link.springer.com/journal/40145)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/jace/default.aspx","title":"Journal of Advanced Ceramics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"157d49fd-c759-4c69-b25f-a94ec03b4717","owner":[],"postedDate":"July 15th, 2020","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":161031,"name":"Ceramics"}],"tags":[],"updatedAt":"2021-07-22T02:41:18+00:00","versionOfRecord":{"articleIdentity":"rs-31240","link":"https://doi.org/10.1007/s40145-020-0399-0","journal":{"identity":"journal-of-advanced-ceramics","isVorOnly":false,"title":"Journal of Advanced Ceramics"},"publishedOn":"2020-10-01 02:41:18","publishedOnDateReadable":"October 1st, 2020"},"versionCreatedAt":"2020-07-15 15:52:52","video":"","vorDoi":"10.1007/s40145-020-0399-0","vorDoiUrl":"https://doi.org/10.1007/s40145-020-0399-0","workflowStages":[]},"version":"v2","identity":"rs-31240","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-31240","identity":"rs-31240","version":["v2"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
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