S. Kek, M. Aroyo, U. Bismayer, C. Schmidt, K. Eichhorn, H. Krane
{"title":"钛矿CaTiSiO5的两步相变:同步辐射研究","authors":"S. Kek, M. Aroyo, U. Bismayer, C. Schmidt, K. Eichhorn, H. Krane","doi":"10.1524/ZKRI.1997.212.1.9","DOIUrl":null,"url":null,"abstract":"In this study it is shown that the antiferrodistortive phase transition in titanite, CaTiSiO 5 , is a stepwise process. We report the occurrence of an intermediate phase with Ca-disorder in split positions. Ordering of Ca triggers the displacement of Ti in the antiferroelectric phase at lower temperatures. A group-theoretical analysis for the two-step subduction process is given. The irreducible representation Y 2 + accounts for the intermediate phase A2/a (C2/c) with Ca cations in 8f Wyckoff positions below 825 K as well as for the subduction of the isotropy subgroup P2 1 /a below 496K. A high-symmetry phase with Ca in 4e positions exists only above ca. 825 K. In order to study the stepwise structural changes synchrotron radiation was used to collect X-ray diffraction data at 100 K, 295 K and 530 K on the 4-circle diffractometer at HASYLAB using a wavelength of 0.560(1) A. A total of 2292 reflections were recorded at 100 K, 1540 at 295 K and 1442 at 530 K and reduced to 705 (100 K), 707 (295 K) and 358 (530 K) unique observations respectively (sin θ/λ ≤ 0.611 A -1 for all data sets). Refinements with harmonic displacement parameters converged to R w = 0.038 (100 K), R w = 0.039 (295 K), and R w = 0.045 (530 K). The value for R w at 530 K was further reduced to 0.042 by assuming anharmonic temperature factors for Ca. A final significant improvement of the fit could be achieved for the 530 K data using splitted calcium atoms with occupation probability 0.5 in 8f positions (R w = 0.039). k + l = 2n + 1 Bragg-peaks disapper at 496 K. Between 496 K and 825 K anisotropic diffuse scattering of reflections k + l = odd is observed. APB's and deviations from a statistical distribution of disordered Ca can lead to such diffuse reflections with their intensity extended along b * and c * .","PeriodicalId":23855,"journal":{"name":"Zeitschrift für Kristallographie - Crystalline Materials","volume":"191 1","pages":"9 - 19"},"PeriodicalIF":0.0000,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"57","resultStr":"{\"title\":\"The two-step phase transition of titanite, CaTiSiO5: a Synchrotron radiation study\",\"authors\":\"S. Kek, M. Aroyo, U. Bismayer, C. Schmidt, K. Eichhorn, H. Krane\",\"doi\":\"10.1524/ZKRI.1997.212.1.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study it is shown that the antiferrodistortive phase transition in titanite, CaTiSiO 5 , is a stepwise process. We report the occurrence of an intermediate phase with Ca-disorder in split positions. Ordering of Ca triggers the displacement of Ti in the antiferroelectric phase at lower temperatures. A group-theoretical analysis for the two-step subduction process is given. The irreducible representation Y 2 + accounts for the intermediate phase A2/a (C2/c) with Ca cations in 8f Wyckoff positions below 825 K as well as for the subduction of the isotropy subgroup P2 1 /a below 496K. A high-symmetry phase with Ca in 4e positions exists only above ca. 825 K. In order to study the stepwise structural changes synchrotron radiation was used to collect X-ray diffraction data at 100 K, 295 K and 530 K on the 4-circle diffractometer at HASYLAB using a wavelength of 0.560(1) A. A total of 2292 reflections were recorded at 100 K, 1540 at 295 K and 1442 at 530 K and reduced to 705 (100 K), 707 (295 K) and 358 (530 K) unique observations respectively (sin θ/λ ≤ 0.611 A -1 for all data sets). Refinements with harmonic displacement parameters converged to R w = 0.038 (100 K), R w = 0.039 (295 K), and R w = 0.045 (530 K). The value for R w at 530 K was further reduced to 0.042 by assuming anharmonic temperature factors for Ca. A final significant improvement of the fit could be achieved for the 530 K data using splitted calcium atoms with occupation probability 0.5 in 8f positions (R w = 0.039). k + l = 2n + 1 Bragg-peaks disapper at 496 K. Between 496 K and 825 K anisotropic diffuse scattering of reflections k + l = odd is observed. 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引用次数: 57
摘要
本研究表明,catisio5中抗铁畸变的相变是一个循序渐进的过程。我们报告了在分裂位置出现ca无序的中间阶段。在较低温度下,Ca的排序触发了Ti在反铁电相中的位移。对两步俯冲过程进行了群理论分析。y2 +的不可约表示解释了825k以下8f Wyckoff位置Ca阳离子的A2/a (C2/c)中间相以及496K以下各向同性亚群P2 1 /a的俯冲。Ca在4e位的高对称相位只存在于Ca . 825 K以上。为了研究逐步结构性变化同步加速器辐射被用来收集x射线衍射数据在100 K, 295 K和530 K 4-circle衍射仪在HASYLAB使用波长为0.560 (1)a . 2292反射记录在100 K, 1540年在530 K和295 K和1442年减少到705 (100 K), 707 (295 K)和358 (530 K)分别独特的观察(sinθ/λ0.611≤1对所有的数据集)。调和位移参数的细化结果分别为R w = 0.038 (100 K)、R w = 0.039 (295 K)和R w = 0.045 (530 K)。通过假设Ca的非调和温度因子,530 K时的R w值进一步降至0.042。使用分裂的钙原子在8f个位置上占据概率为0.5 (R w = 0.039),可以实现530 K数据的最终显著拟合。k + l = 2n + 1布拉格峰在496 k处消失。在496 K和825 K之间,观察到K + l = odd反射的各向异性散射。APB和偏离无序Ca的统计分布会导致这种漫反射,其强度沿b *和c *扩展。
The two-step phase transition of titanite, CaTiSiO5: a Synchrotron radiation study
In this study it is shown that the antiferrodistortive phase transition in titanite, CaTiSiO 5 , is a stepwise process. We report the occurrence of an intermediate phase with Ca-disorder in split positions. Ordering of Ca triggers the displacement of Ti in the antiferroelectric phase at lower temperatures. A group-theoretical analysis for the two-step subduction process is given. The irreducible representation Y 2 + accounts for the intermediate phase A2/a (C2/c) with Ca cations in 8f Wyckoff positions below 825 K as well as for the subduction of the isotropy subgroup P2 1 /a below 496K. A high-symmetry phase with Ca in 4e positions exists only above ca. 825 K. In order to study the stepwise structural changes synchrotron radiation was used to collect X-ray diffraction data at 100 K, 295 K and 530 K on the 4-circle diffractometer at HASYLAB using a wavelength of 0.560(1) A. A total of 2292 reflections were recorded at 100 K, 1540 at 295 K and 1442 at 530 K and reduced to 705 (100 K), 707 (295 K) and 358 (530 K) unique observations respectively (sin θ/λ ≤ 0.611 A -1 for all data sets). Refinements with harmonic displacement parameters converged to R w = 0.038 (100 K), R w = 0.039 (295 K), and R w = 0.045 (530 K). The value for R w at 530 K was further reduced to 0.042 by assuming anharmonic temperature factors for Ca. A final significant improvement of the fit could be achieved for the 530 K data using splitted calcium atoms with occupation probability 0.5 in 8f positions (R w = 0.039). k + l = 2n + 1 Bragg-peaks disapper at 496 K. Between 496 K and 825 K anisotropic diffuse scattering of reflections k + l = odd is observed. APB's and deviations from a statistical distribution of disordered Ca can lead to such diffuse reflections with their intensity extended along b * and c * .