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本文选取SrTiO3材料进行B位Nb5+离子掺杂改性, 采用第一性原理计算了不同含量(0%, 12.5%和25%)Nb5+掺杂SrTiO3的电子结构、光学、力学和热学性质. 结果表明, 当Nb5+掺杂浓度上升, 材料晶胞参数增大; Nb5+掺杂后SrTiO3由间接带隙化合物转变为直接带隙化合物, Nb5+掺杂使材料反射系数、吸收系数、能量损耗下降、脆性降低, 当Nb5+掺杂浓度上升, 材料体弹性模量不变, 剪切模量与杨氏模量减小, 泊松比增大, 德拜温度降低, 晶格热导率与理论最低晶格热导率减小.
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关键词:
- Nb5+掺杂SrTiO3 /
- 第一性原理 /
- 光学性能 /
- 热学性能
The modification of SrTiO3 materials by doping Nb5+ ions in B-site is studied through using the first-principles method to calculate the electronic structure, optical properties, mechanical properties and thermal properties at different Nb5+ doping concentrations. The calculation results show that as the doping content of Nb5+ increases, the lattice parameters increase. After being doped with Nb5+, SrTiO3 changes from an indirect band gap compound into a direct band gap compound. Doping Nb5+ can reduce the reflection coefficient, absorption coefficient, and energy loss of SrTiO3 material, which can be used to modify its optical properties. Additionally, the brittleness of SrTiO3 material is improved through doping Nb5+. As the doping content of Nb5+ increases, the elastic modulus of the material hardly changes, the shear modulus and Young's modulus decrease, the Poisson's ratio increases, and the Debye temperature decreases, and both the lattice thermal conductivity and the theoretical minimum lattice thermal conductivity decrease as well.-
Keywords:
- Nb5+ doping SrTiO3 /
- first principles /
- optical properties /
- thermal properties
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Li S W 2015 M. Dissertation (Harbin: Harbin Institute of Technology) (in Chinese)
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Wang X 2017 M. S. Thesis (Xi'an: Xi'an University of Technology) (in Chinese)
[12] 常亮亮 2014 材料开发与应用 29 89
Chang L L 2014 Development and Application of Materials 29 89
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图 1 晶胞结构 (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3
Fig. 1. Cell structure: (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3.
图 2 能带结构图 (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3
Fig. 2. Band structure: (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3.
图 3 态密度图 (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3
Fig. 3. Density of states: (a) SrTiO3; (b) SrTi0.875Nb0.125O3; (c) SrTi0.75Nb0.25O3.
图 4 SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3的光学性质 (a) 介电常数实部与虚部; (b)折射系数与消光系数
Fig. 4. Optical properties of SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3: (a) Real and imaginary part of the dielectric function; (b) refraction coefficient and extinction coefficient.
图 5 SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3的吸收系数与 (a)能量和 (b)波长的关系图
Fig. 5. Relationship between absorption coefficients of SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3 and (a) energy; (b) wavelength.
图 6 SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3的光学性质 (a)反射系数; (b)能量损失谱
Fig. 6. Optical properties of SrTiO3, SrTi0.875Nb0.125O3 and SrTi0.75Nb0.25O3 (a) Reflection coefficient; (b) energy loss spectrum.
图 7 SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3的热导率 (a) κslack; (b) κmin
Fig. 7. Thermal conductivity of SrTiO3, SrTi0.875Nb0.125O3, SrTi0.75Nb0.25O3: (a) κslack; (b) κmin.
表 1 SrTi1–xNbxO3晶胞参数(a = b = c, 单位: nm)
Table 1. Cell parameters of SrTi1–xNbxO3 (a = b = c, unit: nm).
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表 3 SrTi1–xNbxO3力学性能参数
Table 3. Mechanical property parameters of SrTi1–xNbxO3.
Parameters Symbel SrTiO3 SrTi0.875Nb0.125O3 SrTi0.75Nb0.25O3 Bulk elastic modulus/GPa B 168.8 169.7 166.0 Shear modulus/GPa G 108.3 100.8 78.3 G/B / 0.64 0.59 0.47 Young's modulus/GPa E 267.7 252.4 202.9 Poisson's ratio/(m·s–1) σ 0.236 0.252 0.296
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表 4 SrTi1–xNbxO3的声速和德拜温度
Table 4. Calculated sound velocity and Debye temperature of SrTi1–xNbxO3.
Parameters Symbel SrTiO3 SrTi0.875Nb0.125O3 SrTi0.75Nb0.25O3 Compression wave velocity/(m·s–1) vp 7916.5 7745.6 7241.4 Shear wave velocity/(m·s–1) vs 4655.3 4460.2 3897.8 Average wave velocity/(m·s–1) vm 4876.2 4694.3 4351.6 Debye temperature/K ΘD 630.7 603.9 557.7
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[1] Huang W, Nechache R, Li S, Chaker M, Rosei F 2016 Am. Ceram. Soc. 99 226
Google Scholar
[2] 李守委 2015 硕士学位论文 (哈尔滨: 哈尔滨工业大学)
Li S W 2015 M. Dissertation (Harbin: Harbin Institute of Technology) (in Chinese)
[3] Jing P P, Lan W, Su Q, Xie E Q 2015 Beilstein J. Nanotechnol. 6 1281
Google Scholar
[4] Zhang T F, Tang X G, Xiang Q, Jiang Y P 2018 J. Alloys Compd. 730 516
Google Scholar
[5] Blennow P, Hagen A, HansenK K, Wallenberg L R, Mogensen M 2008 Solid State Ion. 179 2047
Google Scholar
[6] Gerblinger J, Meixner H 1991 Sens. Actuators B Chem. 4 99
Google Scholar
[7] Ham Y S, Koh J H 2009 Ferroelectrics 382 85
Google Scholar
[8] Nakano Y, Ichinose N 1990 J. Mater. Res. 5 2910
Google Scholar
[9] Iwashina K, Kudo A 2011 J. Am. Chem. Soc. 133 13272
Google Scholar
[10] Rheinheimer W, Bäurer M, Handwerker C A, Blendell J E, Hoffmann M J 2015 Acta Mater. 95 111
Google Scholar
[11] 王欣 2017 硕士学位论文 (西安: 西安理工大学)
Wang X 2017 M. S. Thesis (Xi'an: Xi'an University of Technology) (in Chinese)
[12] 常亮亮 2014 材料开发与应用 29 89
Chang L L 2014 Development and Application of Materials 29 89
[13] Ohta S, Ohta H, Koumoto K 2006 J. Ceram. Soc. Japan 114 102
Google Scholar
[14] Tomio T, Miki H, Tabata H, Kawai T, Kawai S 1994 J. Appl. Phys. 76 5886
Google Scholar
[15] Bakhshi H, Sarraf M R, Yourdkhania A, AbdelNabi A A, Mozharivskyj Y 2020 Ceram. Int. 46 3224
Google Scholar
[16] Benrekia A R, Benkhettou N, Nassour A, Driz M, Sahnoun M, Lebèguec S 2012 Phys. Rev., B Condens. Matter 407 2632
Google Scholar
[17] Ghebouli B, Ghebouli M A, Chihi T, Fatmi M, Boucetta S, Reffas M 2009 Solid State Commun. 149 2244
Google Scholar
[18] 贠江妮 2010 博士学位论文 (西安: 西北大学)
Yun J N 2010 Ph. D. Dissertation (Xi'an: Northwest University) (in Chinese)
[19] Guo X G, Chen X S, Lu W 2003 Solid State Commun. 126 441
Google Scholar
[20] Eglitis R I, Kotomin E A 2010 Phys. B:Condens. Matter 405 3164
Google Scholar
[21] Nishiyama J, Kanehara K, Takeda H, Tsurumi T, Hoshina T 2019 J. Ceram. Soc. Japan 127 357
Google Scholar
[22] Guo X G, Chen X, Sun Y L, Sun L Z, Zhou X H, Lu W 2003 Phys. Lett. A 317 501
Google Scholar
[23] Blöchl P E, Jepsen O, Andersen O K 1994 Phys. Rev. B:Condens. Matter 49 16223
Google Scholar
[24] Kohn W, Sham L J 1965 Phys. Rev. A 140 A1133
Google Scholar
[25] Benthem K V, Elsässer C, French R H 2001 J. Appl. Phys. 90 6156
Google Scholar
[26] 陈敏强, 李廷鱼, 王开鹰, 胡杰, 李朋伟, 胡文秀, 李刚 2017 固体电子学研究与进展 37 316
Chen M Q, Li Y Y, Wang K Y, Hu J, Li P W, Hu W X, Li G 2017 Res. Prog. Solid State Electron. 37 316
[27] Chen Q, Gao F, Xu J, Cao S Y, Guo Y T, Cheng G H 2019 Ceram. Int. 45 9967
Google Scholar
[28] Kato H, Kudo A 2002 J. Phys. Chem. B 106 5029
Google Scholar
[29] 侯清玉, 吕致远, 赵春旺 2015 物理学报 64 017201
Google Scholar
Hou Q Y, Lv Z Y, Zhao C W 2015 Acta Phys. Sin. 64 017201
Google Scholar
[30] Kumar A, Dho J 2013 Curr. Appl. Phys. 13 768
Google Scholar
[31] 刘娜娜, 宋仁伯, 孙翰英, 杜大伟 2008 物理学报 57 7145
Google Scholar
Liu N N, Song R B, Sun H Y, Du D W 2008 Acta Phys. Sin. 57 7145
Google Scholar
[32] Piskunov S, Heifets E, Eglitis R I, Borstel G 2004 Comput. Mater. Sci. 29 165
[33] 项建英, 黄继华, 陈树海, 梁文建, 赵兴科, 张华 2012 航空材料学报 32 1
Google Scholar
Xiang J Y, Huang J H, Chen H S, Liang W J, Zhao X K, Zhang H 2012 J Aeron. Mater. 32 1
Google Scholar
[34] Pugh S F 1954 Philos. Mag. 45 823
Google Scholar
[35] Xiang H M, Feng Z H, Li Z P, Zhou Y C 2017 J. Eur. Ceram. Soc. 37 2491
[36] Wan C L, Pan W, Xu Q, Qin Y X, Wang J D, Qu Z X, Fang M H 2006 Phys. Rev. B 74 144
[37] Slack G A 1973 J. Phys. Chem. Solids. 34 321
Google Scholar
[38] Clarke D R 2003 Surf. Coat. Technol. 163-164 67
[39] Zhang B Y, Wang J, Zou T, Zhang S, Yaer X B, Ding N, Liu C Y, Miao L, Li Y, Wu Y 2015 J. Mater. Chem. C 3 11406
Google Scholar
[40] Okhay O, Zlotnik S, Xie W, Orlinski K, Gallo M J, Otero G, Fernandes A, Pawlak D, Weidenkaff A, Tkach A 2019 Carbon 143 215
Google Scholar
[41] Wang K, Wang J, Li Y, Zou T, Wang X H, Li J B, Cao Z, Shi W J, Year X 2018 Chin. Phys. B 27 121
[42] Liu D, Zhang Y, Kang H, Li J L, Chen Z N, Wang T M 2018 J. Eur. Ceram. Soc. 38 807
Google Scholar
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