SCANDIA-STABLIZIED ZIRCONIA ELECTROLYTE FOR SOLID OXIDE FUEL CELL HAVING IMPROVED STABILITY IN REDUCING ATMOSPHERE
20170373337 · 2017-12-28
Assignee
Inventors
Cpc classification
C04B2235/3229
CHEMISTRY; METALLURGY
Y02P70/50
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
Y02E60/50
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
C04B2235/3224
CHEMISTRY; METALLURGY
International classification
Abstract
Disclosed is a scandia-stabilized zirconia electrolyte for a solid oxide fuel cell, which is configured such that at least one oxide selected from among gadolinium oxide (Gd.sub.2O.sub.3) and samarium oxide (Sm.sub.2O.sub.3) is co-doped with ytterbium oxide (Yb.sub.2O.sub.3) to thus improve stability in a reducing atmosphere. The scandia-stabilized zirconia electrolyte of the invention can be stabilized into a cubic crystal structure at room temperature while retaining the inherently high oxygen ionic conductivity of a scandia-stabilized zirconia electrolyte (11ScSZ), and can also ensure stability in a reducing atmosphere by solving the problem with a conventional ceria (CeO.sub.2)-doped scandia-stabilized zirconia in which the ionic conductivity continuously deteriorates in a reducing atmosphere.
Claims
1. A scandia-stabilized zirconia electrolyte for a solid oxide fuel cell, comprising: a zirconia (ZrO.sub.2) electrolyte stabilized by doping with scandium oxide (Sc.sub.2O.sub.3); and at least one of gadolinium oxide (Gd.sub.2O.sub.3) and samarium oxide (Sm.sub.2O.sub.3) being co-doped with ytterbium oxide (Yb.sub.2O.sub.3) to improve stability of an oxygen ionic conductivity in a reducing atmosphere, wherein the scandia-stabilized zirconia electrolyte has a composition represented by Chemical Formula 1 below:
(Sc.sub.2O.sub.3).sub.x(Re.sub.2O.sub.3).sub.y(Yb.sub.2O.sub.3).sub.z(ZrO.sub.2).sub.1-x-y-z [Chemical Formula 1] wherein 0.08≦x≦0.11, 0.0005≦y≦0.01, 0.0005≦z≦0.01, and Re.sub.2O.sub.3 is at least one of Gd.sub.2O.sub.3 and Sm.sub.2O.sub.3.
2. The scandia-stabilized zirconia electrolyte of claim 1, wherein the scandia-stabilized zirconia electrolyte has a cubic crystal structure at room temperature and a cation radius ranging from 0.8440 to 0.8453 Å.
3. (canceled)
4. The scandia-stabilized zirconia electrolyte of claim 1, wherein in Chemical Formula 1, y:z ranges from 1:3 to 3:1.
5. The scandia-stabilized zirconia electrolyte of claim 1, wherein in Chemical Formula 1, y+z is 0.01 or more.
6. The scandia-stabilized zirconia electrolyte of claim 1, wherein in Chemical Formula 1, Re.sub.2O.sub.3 is gadolinium oxide (Gd.sub.2O.sub.3) and has a cation radius ranging from 0.8441 to 0.8450 Å.
7. The scandia-stabilized zirconia electrolyte of claim 1, wherein in Chemical Formula 1, Re.sub.2O.sub.3 is samarium oxide (Sm.sub.2O.sub.3) and has a cation radius ranging from 0.8443 to 0.8450 Å.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0025] The above and other features and advantages of the present invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, in which:
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DESCRIPTION OF SPECIFIC EMBODIMENTS
[0044] Hereinafter, a detailed description will be given of preferred embodiments of the present invention with reference to the appended drawings. The embodiments of the present invention are provided to more fully describe the technical spirit of the present invention to those skilled in the art, and may be modified in various ways and are not construed as limiting the present invention. Rather, these embodiments are provided to complete the present disclosure and to fully deliver the technical spirit of the present invention to those skilled in the art. As used herein, the term “and/or” may include any one of the listed items and any combination of one or more thereof. Throughout the drawings, the same reference numerals refer to the same or like parts. Furthermore, various parts and areas in the drawings are schematically depicted. Hence, the technical spirit of the present invention is not limited by the relative sizes or intervals shown in the drawings.
[0045] According to the present invention, a scandia-stabilized zirconia electrolyte for a solid oxide fuel cell is a zirconia (ZrO.sub.2) electrolyte which is stabilized by doping with scandium oxide (Sc.sub.2O.sub.3), and is configured such that at least one oxide selected from among gadolinium oxide (Gd.sub.2O.sub.3) and samarium oxide (Sm.sub.2O.sub.3) is co-doped with ytterbium oxide (Yb.sub.2O.sub.3) to thus improve stability in a reducing atmosphere.
[0046] The continuous deterioration of ionic conductivity in a reducing atmosphere, which is regarded as problematic in a conventional ceria (CeO.sub.2)-doped scandia-stabilized zirconia, is solved, thereby ensuring stability in a reducing atmosphere.
[0047] The scandia-stabilized zirconia electrolyte has a cubic crystal structure at room temperature and a cation radius ranging from 0.8440 to 0.8453 Å. Also, at least one selected from among gadolinium oxide (Gd.sub.2O.sub.3) and samarium oxide (Sm.sub.2O.sub.3) is co-doped with ytterbium oxide (Yb.sub.2O.sub.3), and thereby the crystal structure of scandia-stabilized zirconia may be stabilized into a cubic structure at room temperature while retaining the inherently high oxygen ionic conductivity of a scandia-stabilized zirconia electrolyte (11ScSZ).
[0048] It has been confirmed that a 10Sc1YbSZ electrolyte exhibits high ionic conductivity and excellent stability in a reducing atmosphere, but the crystal structure is not stabilized into a cubic structure at room temperature. Hence, the electrolyte of the invention is configured such that at least one oxide selected from among gadolinium oxide (Gd.sub.2O.sub.3) and samarium oxide (Sm.sub.2O.sub.3) is doped so as to have a cation radius greater than the cation radius (0.84445 Å) of the 10Sc1YbSZ electrolyte, and thus the crystal structure thereof may be stabilized into a cubic structure at room temperature.
[0049] The scandia-stabilized zirconia electrolyte may have the composition represented by Chemical Formula 1 below:
(Sc.sub.2O.sub.3).sub.x(Re.sub.2O.sub.3).sub.y(Yb.sub.2O.sub.3).sub.z(ZrO.sub.2).sub.1-x-y-z [Chemical Formula 1]
wherein 0.08≦x≦0.11, 0.0005≦y≦0.01, 0.0005≦z≦0.01, and Re.sub.2O.sub.3 is at least one selected from among Gd.sub.2O.sub.3 and Sm.sub.2O.sub.3.
[0050] In Chemical Formula 1, y:z may range from 1:3 to 3:1. The 10Sc1YbSZ electrolyte exhibits high ionic conductivity and superior stability in a reducing atmosphere but is not stabilized into a cubic structure at room temperature. As the Re/Yb ratio is lower due to the doping with a large amount of Yb.sub.2O.sub.3, the ionic conductivity of the electrolyte may increase. If the Re/Yb ratio is less than 1/3, sufficient ionic conductivity cannot be achieved. On the other hand, if the Re/Yb ratio is greater than 3, the resulting electrolyte is difficult to stabilize into a cubic structure at room temperature.
[0051] In Chemical Formula 1, y+z may be equal to or greater than 0.01. When Gd.sub.2O.sub.3+Yb.sub.2O.sub.3 or Sm.sub.2O.sub.3+Yb.sub.2O.sub.3 is used in an amount of 1 mol % or more, the resulting electrolyte may be efficiently stabilized into a complete cubic structure at room temperature.
[0052] In Chemical Formula 1, Re.sub.2O.sub.3 may be gadolinium oxide (Gd.sub.2O.sub.3) and the cation radius thereof may range from 0.8441 Å to 0.8450 Å. Given the above range, a complete cubic structure may be obtained at room temperature, and simultaneously, high conductivity close to or greater than 0.14 S/cm may be exhibited.
[0053] In Chemical Formula 1, Re.sub.2O.sub.3 may be samarium oxide (Sm.sub.2O.sub.3), and the cation radius thereof may range from 0.8443 Å to 0.8450 Å. Given the above range, a complete cubic structure may be obtained at room temperature, and simultaneously, high conductivity close to or greater than 0.14 S/cm may be exhibited.
[0054] Below, the present invention is described in detail through the following examples and test examples.
Test Example 1: Comparison of 10Sc1ReSZ (Re=Ce, Yb, Gd, Sm) Electrolytes
[0055] 1-1. Formation of Electrolyte Sample
[0056] To compare the properties of 10Sc1ReSZ (Re=Ce, Yb, Gd, Sm) electrolytes depending on the kind of Re, electrolyte samples were manufactured according to the composition designs represented by the Chemical Formulas in Table 1 below.
TABLE-US-00001 TABLE 1 Sample Electrolyte Composition Chemical Formula E1-1 10Sc1CeSZ (Sc.sub.2O.sub.3).sub.0.1(CeO.sub.2).sub.0.01(ZrO.sub.2) 0.89 E1-2 10Sc1YbSZ (Sc.sub.2O.sub.3).sub.0.1(Yb.sub.2O.sub.3).sub.0.01(ZrO.sub.2) 0.89 E1-3 10Sc1GdSZ (Sc.sub.2O.sub.3).sub.0.1(Gd.sub.2O.sub.3).sub.0.01(ZrO.sub.2) 0.89 E1-4 10Sc1SmSZ (Sc.sub.2O.sub.3).sub.0.1(Sm.sub.2O.sub.3).sub.0.01(ZrO.sub.2) 0.89
[0057] For the electrolyte samples, oxides, for example, ZrO.sub.2, Sc.sub.2O.sub.3, CeO.sub.2, Yb.sub.2O.sub.3, Gd.sub.2O.sub.3, and Sm.sub.2O.sub.3, were applied, and oxide powders were weighed so as to be suitable for the compositions of Table 1 and then subjected to ball milling using a zirconia (ZrO.sub.2) ball and an ethanol solvent to yield a homogeneous slurry. The mixed slurry was sufficiently dried in a hot air oven, subjected to dry milling, and then uniaxially pressed, thus producing molded bodies having a width, a length and a thickness of 40 mm×40 mm×4 mm.
[0058] To manufacture final electrolyte sintered bodies, individual electrolyte molded bodies were sintered at atmospheric pressure in an air atmosphere under sintering conditions of 1470° C. and 5 hr.
[0059] As samples for analyzing the crystal structures of electrolyte sintered bodies, electrolyte samples having polished surfaces were used, and the electrolyte samples for evaluating ionic conductivity were mechanically processed into conductive samples having a width, a length and a height of 2 mm×2 mm×25 mm.
[0060] 1-2. Evaluation of Ionic Conductivity
[0061] The ionic conductivity of the electrolyte samples was measured using a direct-current 4-probe method. The voltage was measured at the applied current and the cross-sectional area and the height of the samples were used to calculate the resistance and conductivity thereof. Measurement was performed in an air atmosphere and a hydrogen atmosphere in the temperature range of 600 to 850° C., which corresponds to the operating temperature of an SOFC.
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[0063] The ionic conductivity of the zirconia electrolyte having the same crystal structure is known to be affected by both the cation radius and the effective oxygen vacancy concentration. The reason why the ionic conductivity of 10Sc1CeSZ is lower than that of 10Sc1YbSZ is that the doping of CeO.sub.2 does not form additional oxygen vacancies, and thus 10Sc1CeSZ has a cation radius smaller than that of 10Sc1YbSZ, but the effective oxygen vacancy concentration thereof is relatively low.
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[0066] 1-3. Evaluation of Crystal Structure
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[0068] Among the electrolytes of the E1 group, the 10Sc1YbSZ electrolyte showed high ionic conductivity and excellent stability in a reducing atmosphere, but was not stabilized into a cubic structure at room temperature. Thus, when the amount of doped Sc.sub.2O.sub.3 is 10 mol % and 1 mol % of Re.sub.2O.sub.3 having the same trivalent oxidation number is doped, the composition design is required to have a cation radius greater than the cation radius (0.84445 Å) of the 10Sc1YbSZ electrolyte.
Test Example 2: Evaluation of Co-Doping Effect of Re=Yb+Gd, Yb+Sm on 10Sc1ReSZ Electrolyte
[0069] 2-1. Formation of Electrolyte Sample
[0070] Electrolyte samples were manufactured according to the composition designs shown in Table 2 below.
TABLE-US-00002 TABLE 2 Electrolyte Sample Composition Chemical Formula E2 E2-1 10Sc0.75Gd0.25YbSZ (SC.sub.2O.sub.3).sub.0.1(Gd.sub.2O.sub.3).sub.0.0075(Yb.sub.2O.sub.3).sub.0.0025(ZrO.sub.2).sub.0.89 E2-2 10Sc0.5Gd0.5YbSZ (SC.sub.2O.sub.3).sub.0.1(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.89 E2-3 10Sc0.25Gd0.75YbSZ (SC.sub.2O.sub.3).sub.0.1(Gd.sub.2O.sub.3).sub.0.0025(Yb.sub.2O.sub.3).sub.0.0075(ZrO.sub.2).sub.0.89 E3 E3-1 10Sc0.75Sm0.25YbSZ (SC.sub.2O.sub.3).sub.0.1(Sm.sub.2O.sub.3).sub.0.0075(Yb.sub.2O.sub.3).sub.0.0025(ZrO.sub.2).sub.0.89 E3-2 10Sc0.5Sm0.5YbSZ (SC.sub.2O.sub.3).sub.0.1(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.89 E3-3 10Sc0.25Sm0.75YbSZ (SC.sub.2O.sub.3).sub.0.1(Sm.sub.2O.sub.3).sub.0.0025(Yb.sub.2O.sub.3).sub.0.0075(ZrO.sub.2).sub.0.89
[0071] The electrolyte samples were manufactured in the same manner as the electrolytes of E1 group.
[0072] 2-2. Evaluation of Ionic Conductivity
[0073] The results of measurement of the cation radius and the ionic conductivity in an air atmosphere of electrolytes of E2 group and E1-2 and E1-3 electrolytes according to an embodiment of the present invention are shown in Table 3 below. As the relative content ratio (Gd/Yb) was decreased, the ionic conductivity was increased. This is because the cation radius is smaller.
TABLE-US-00003 TABLE 3 Ionic Sample Composition Cation Radius conductivity @850° C. E1-2 10Sc1YbSZ 0.84445 Å 0.169 S/cm E2-3 10Sc0.25Gd0.75YbSZ 0.84462 Å 0.155 S/cm E2-2 10Sc0.5Gd0.5YbSZ 0.84479 Å 0.151 S/cm E2-1 10Sc0.75Gd0.25YbSZ 0.84496 Å 0.139 S/cm E1-3 10Sc1GdSZ 0.84513 Å 0.124 S/cm
[0074] In particular, the ionic conductivity of the E2-3 electrolyte was equal to the ionic conductivity (0.156 S/cm) of the 10Sc1CeSZ electrolyte.
[0075] The results of measurement of the cation radius and the ionic conductivity in an air atmosphere of electrolytes of E3 group and E1-2 and E1-4 electrolytes according to an embodiment of the present invention are shown in Table 4 below. As is apparent from the electrolytes of E2 group, when the relative content ratio (Sm/Yb) was decreased, the ionic conductivity was increased.
TABLE-US-00004 TABLE 4 Ionic Sample Composition Cation Radius conductivity @850° C. E1-2 10Sc1YbSZ 0.84445 Å 0.169 S/cm E3-3 10Sc0.25Sm0.75YbSZ 0.84469 Å 0.140 S/cm E3-2 10Sc0.5Sm0.5YbSZ 0.84492 Å 0.133 S/cm E3-1 10Sc0.75Sm0.25YbSZ 0.84516 Å 0.121 S/cm E1-4 10Sc1SmSZ 0.84539 Å 0.119 S/cm
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[0077] As shown in
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[0082] 2-3. Evaluation of Crystal Structure
[0083] In order to evaluate the crystal structure of the electrolyte samples of E2 and E3 groups, X-ray diffractometry was performed. The results are shown in
[0084] When 10 mol % of Sc.sub.2O.sub.3 was doped and 1 mol % of trivalent Re.sub.2O.sub.3 (Re=Yb+Gd, Yb+Sm) was additionally doped, the resulting electrolytes were efficiently controlled into a cubic structure within a cation radius range from 0.84462 Å to 0.84516 Å.
Test Example 3: Comparison of Characteristics of Electrolytes Depending on the Amount of Doped Sc.SUB.2.O.SUB.3 .and the Kind of Re in XSc0.5Re0.5YbSZ (X=8 to 11, Re=Gd, Sm) Electrolytes
[0085] 3-1. Formation of Electrolyte Sample
[0086] Electrolyte samples were manufactured according to the composition designs shown in Table 5 below.
TABLE-US-00005 TABLE 5 Electrolyte Sample Composition Chemical Formula E4 E4-1 8Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.08(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.91 E4-2 8.5Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.085(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.905 E4-3 9Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.09(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.9 E4-4 9.5Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.095(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.895 E4-5 10Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.1(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.89 E4-6 10.5Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.105(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.885 E4-7 11Sc0.5Gd0.5YbSZ (Sc.sub.2O.sub.3).sub.0.11(Gd.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.88 E5 E5-1 8Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.08(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.91 E5-2 8.5Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.085(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.905 E5-3 9Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.09(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.9 E5-4 9.5Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.095(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.895 E5-5 10Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.1(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.89 E5-6 10.5Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.105(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.885 E5-7 11Sc0.5Sm0.5YbSZ (Sc.sub.2O.sub.3).sub.0.11(Sm.sub.2O.sub.3).sub.0.005(Yb.sub.2O.sub.3).sub.0.005(ZrO.sub.2).sub.0.88
[0087] The electrolyte samples were manufactured in the same manner as the electrolytes of E1 group.
[0088] 3-2. Evaluation of Ionic Conductivity
[0089] The results of measurement of the cation radius and the ionic conductivity in an air atmosphere of the electrolytes of E4 group according to an embodiment of the present invention are shown in Table 6 below.
[0090] When the amount of doped Sc.sub.2O.sub.3 was increased, the ionic conductivity was gradually raised, and was highest in the E4-4 composition. Then, as the amount of doped Sc.sub.2O.sub.3 was further increased, the ionic conductivity was gradually decreased. In particular, the E4-4 electrolyte exhibited higher conductivity than that of the 10Sc1CeSZ electrolyte. When 0.5 mol % of Yb.sub.2O.sub.3 and 0.5 mol % of Gd.sub.2O.sub.3 were doped in the electrolytes of E4 group, the amount of doped Sc.sub.2O.sub.3 able to ensure high ionic conductivity of 0.15 S/cm or more was measured to be 9.5 to 10 mol %, and the cation radius of the composition fell in the range of 0.8446 Å to 0.8448 Å.
TABLE-US-00006 TABLE 6 Ionic Sample Composition Cation Radius conductivity @850° C. E4-1 8Sc0.5Gd0.5YbSZ 0.84419 Å 0.142 S/cm E4-2 8.5Sc0.5Gd0.5YbSZ 0.84434 Å 0.146 S/cm E4-3 9Sc0.5Gd0.5YbSZ 0.84449 Å 0.147 S/cm E4-4 9.5Sc0.5Gd0.5YbSZ 0.84464 Å 0.169 S/cm E4-5 10Sc0.5Gd0.5YbSZ 0.84479 Å 0.151 S/cm E4-6 10.5Sc0.5Gd0.5YbSZ 0.84494 Å 0.146 S/cm E4-7 11Sc0.5Gd0.5YbSZ 0.84509 Å 0.135 S/cm
[0091] The results of measurement of the cation radius and the ionic conductivity in an air atmosphere of the electrolytes of E5 group according to an embodiment of the present invention are shown in Table 7 below.
[0092] When the amount of doped Sc.sub.2O.sub.3 was increased, the ionic conductivity was decreased. The E5-1 and E5-2 electrolytes exhibited high ionic conductivity equal to that of the 10Sc1CeSZ electrolyte.
[0093] When 0.5 mol % of Yb.sub.2O.sub.3 and 0.5 mol % of Sm.sub.2O.sub.3 were doped in the electrolytes of E5 group, the amount of doped Sc.sub.2O.sub.3 able to ensure high ionic conductivity of 0.15 S/cm or more was measured to be 8 to 8.5 mol %, and the cation radius of the composition fell in the range of 0.8443 Å to 0.8445 Å.
TABLE-US-00007 TABLE 7 Ionic Sample Composition Cation Radius conductivity @850° C. E5-1 8Sc0.5Sm0.5YbSZ 0.84432 Å 0.159 S/cm E5-2 8.5Sc0.5Sm0.5YbSZ 0.84447 Å 0.158 S/cm E5-3 9Sc0.5Sm0.5YbSZ 0.84462 Å 0.148 S/cm E5-4 9.5Sc0.5Sm0.5YbSZ 0.84477 Å 0.139 S/cm E5-5 10Sc0.5Sm0.5YbSZ 0.84492 Å 0.151 S/cm E5-6 10.5Sc0.5Sm0.5YbSZ 0.84507 Å 0.126 S/cm E5-7 11Sc0.5Sm0.5YbSZ 0.84522 Å 0.125 S/cm
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[0097] 3-3. Evaluation of Crystal Structure
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[0099] As mentioned hereinbefore, although the preferred embodiments of the present invention have been disclosed herein and in the drawings, those skilled in the art will appreciate that various modifications, additions and substitutions are possible, without departing from the scope and spirit of the invention as disclosed in the accompanying claims.