Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Influence of thermal treatment on the ionic valence and the magnetic structure of perovskite manganites La0.95Sr0.05MnO3

Wu Li-Qian Qi Wei-Hua Li Yu-Chen Li Shi-Qiang Li Zhuang-Zhi Xue Li-Chao Ge Xing-Shuo Ding Li-Li

Citation:

Influence of thermal treatment on the ionic valence and the magnetic structure of perovskite manganites La0.95Sr0.05MnO3

Wu Li-Qian, Qi Wei-Hua, Li Yu-Chen, Li Shi-Qiang, Li Zhuang-Zhi, Xue Li-Chao, Ge Xing-Shuo, Ding Li-Li
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • In traditional views, the magnetic ordering of oxides may be explained using magnetic superexchange (SE) or double exchange (DE) interaction models. Both models are based on an assumption that the valences of all oxygen ions be -2. For example, both La and Mn in LaMnO3 are assumed to be trivalent, in which antiferromagnetic spin structure is explained using the SE interaction between Mn3+ cations mediated by oxygen anions. In La1-xSrxMnO3, there exists a part of Mn4+ cations with the content ratio of Mn4+/Mn3+ being x/(1-x), in which spin structure and electronic transport properties are explained by DE interaction. However, there is a part of monovalent oxygen ions existing in oxides. Cohen [Nature 358 136] has calculated the densities of states for valence electrons in the perovskite oxide BaTiO3 using density functional theory. Results indicate that the average valence of Ba is +2, being the same as that in the traditional one, but the average valences of Ti and O are +2.89 and -1.63 respectively, agreeing with the results obtained using ionicity investigation [Rev. Mod. Phys. 42 317] and X-ray photoelectron spectra (XPS) analysis, but different from the conventional results +4 and -2. In this paper, three samples with the nominal composition La0.95Sr0.05MnO3 are prepared by different thermal-treatments. Likewise, there are only Mn2+ and Mn3+ cations, but no Mn4+ cations in La0.95Sr0.05MnO3, a result obtained by XPS analysis, and the average valence of Mn in La0.95Sr0.05MnO3 samples increases with increaseing thermal-treatment. Although the crystal structures of the samples are the same, the magnetic moments per formula are obviously different. This magnetic structure cannot be explained using the conventional SE and DE interaction models. Using the O 2p itinerant electron model for spinel ferrites proposed recently by our group, we can explain this magnetic structure. The variation trend of the average valences of Mn cations calculated using the magnetic moments per formula of the samples at 10 K, is in accordance with the experiment results of XPS. The O 2p itinerant electron model is based on an assumption that there is a part of monovalent oxygen ions in the oxides, which is the fundamental difference from SE and DE interaction models.
      Corresponding author: Xue Li-Chao, tanggd@mail.hebtu.edu.cn.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11174069), the Natural Science Foundation of Hebei Province, China (Grant No. A2015205111), and the Young Scholar Science Foundation of the Education Department of Hebei Province, China (Grant No. QN20131008).
    [1]

    Helmolt R V, Wecker J, Holzapfel B, Schultz L, Samwer K 1993 Phys. Rev. Lett. 71 2331

    [2]

    Urushibara A, Moritomo Y, Arima T, Asamitsu A, Kido G, Tokura Y 1995 Phys. Rev. B 51 14103

    [3]

    Tokura Y, Tomioka Y 1999 J. Magn. Magn. Mater. 200 1

    [4]

    Salamon M B, Jaime M 2001 Rev. Moder. Phys. 73 583

    [5]

    Sun Y, Tong W, Xu X J, Zhang Y H 2001 Appl. Phys. Lett. 78 643

    [6]

    Lu Y, Li Q A, Di N L, Li R W, Ma X, Kou Z Q, Cheng Z H 2003 Chin. Phys. 12 1301

    [7]

    Tang G D, Hou D L, Chen W, Zhao X, Qi W H 2007 Appl. Phys. Lett. 90 144101

    [8]

    Tang G D, Hou D L, Li Z Z, Zhao X, Qi W H, Liu S P, Zhao F W 2006 Appl. Phys. Lett. 89 261919

    [9]

    Tang G D, Hou D L, Chen W, Hao P, Liu G H, Liu S P, Zhang X L, Xu L Q 2007 Appl. Phys. Lett. 91 152503

    [10]

    Tang G D, Liu S P, Zhao X, Zhang Y G, Ji D H, Li Y F, Qi W H, Chen W, Hou D L 2009 Appl. Phys. Lett. 95 121906

    [11]

    Liu S P, Tang G D, Li Z Z, Qi W H, Ji D H, Li Y F, Chen W, Hou D L 2011 J. Alloy Comp. 509 2320

    [12]

    Jiang K, Gong S K 2009 Chin.Phys.B 18 3035

    [13]

    Hu L, Sun Y P, Wang B, Luo X, Sheng Z G, Zhu X B, Song W H, Yang Z R, Dai J M 2010 Chin. Phys. Lett. 27 097504

    [14]

    Hong F, Cheng Z X, Wang J L, Wang X L, Dou S X 2012 Appl. Phys. Lett. 101 102411

    [15]

    Liu N, Yan G Q, Zhu G, Guo H Y 2012 Rare Metals 31 135

    [16]

    Yang H, Qi W H, Ji D H, Shang Z F, Zhang X Y, Xu J, Lang L L, Tang G D 2014 Acta Phys. Sin. 63 087503 (in Chinese) [杨虹, 齐伟华, 纪登辉, 尚志丰, 张晓云, 徐静, 郎莉莉, 唐贵德 2014 物理学报 63 087503]

    [17]

    Khan M H, Pal S, Bose E 2015 J. Magn. Magn. Mater. 391 140

    [18]

    Jiang L N, Zhang Y B, Dong S L 2015 Acta Phys. Sin. 64 147104 (in Chinese) [姜丽娜, 张玉滨, 董顺乐 2015 物理学报 64 147104]

    [19]

    Jonker G H, Van Santen J H 1950 Physica 16 337

    [20]

    Shannon R D 1976 Acta Cryst. A 32 751

    [21]

    Chikazumi S 1997 Physics of Ferromagnetism 2e (Oxford University Press), p100-180

    [22]

    Cohen R E 1992 Nature 358 136

    [23]

    Dupin J C, Gonbeau D, Vinatier P, Levasseur A 2000 Phys. Chem. Chem. Phys. 2 1319

    [24]

    Wu L Q, Li Y C, Li S Q, Li Z Z, Tang G D, Qi W H, Xue L C, Ge X S, Ding L L 2015 AIP Advances 5 097210

    [25]

    Phillips J C 1970 Rev. Mod. Phys. 42 317

    [26]

    Thomas J, Pollini I 1985 Phys. Rev. B 32 2522

    [27]

    Chelikowsky J R, Burdett J K 1986 Phys. Rev. Lett. 56 961

    [28]

    Garca A, Cohen M L 1993 Phys. Rev. B 47 4215

    [29]

    Guo Y Y, Kuo C K, Nicholson P S 1999 Solid State Ionics 123 225

    [30]

    Liu S P, Tang G D, Hao P, Xu L Q, Zhang Y G, Qi W H, Zhao X, Hou D L, Chen W 2009 J. Appl. Phys. 105 013905

    [31]

    Liu S P, Zhang Y G, Tang G D, Qi W H, Ji D H, Li Y F, Liu G H, Xie Y, Chen W, Hou D L 2010 Phys. Stat. Sol. 207 2437

    [32]

    Liu S P, Xie Y, Xie J, Tang G D 2011 J. Appl. Phys. 110 123714

    [33]

    Ji D H, Tang G D, Li Z Z, Han Q J, Hou X, Bian R R, Liu S R 2012 J. Appl. Phys. 111 113902

    [34]

    Liu S P, Xie Y, Tang G D, Li Z Z, Ji D H, Li Y F, Hou D L 2012 J. Magn.Magn.Mater. 324 1992

    [35]

    Seah M P, Brown M T 1998 Journal of Electron Spectroscopy and Related Phenomena 95 71

    [36]

    Sunding M F Hadidi K, Diplas S, Lovvik O M, Norby T E, Gunns A E 2011 Journal of Electron Spectroscopy and Related Phenomena 184 399

    [37]

    Cui B, Lin H, Liu Y Z, Li J B, Sun P, Zhao X C, Liu C J 2009 J. Phys. Chem. C 113 14083

    [38]

    Zener C 1951 Phys. Rev. 82 403

    [39]

    Tang G D, Han Q J, Xu J, Ji D H, Qi W H, Li Z Z, Shang Z F, Zhang X Y 2014 Phys. B 438 91

    [40]

    Shang Z F, Qi W H, Ji D H, Xu J, Tang G D, Zhang X Y, Li Z Z, Lang L L 2014 Chin. Phys. B 23 107503

    [41]

    Lang L L, Xu J, Qi W H, Li Z Z, Tang G D, Shang Z F, Zhang X Y, Wu L Q, Xue L C 2014 J. Appl. Phys. 116 123901

    [42]

    Zhang X Y, Xu J, Li Z Z, Qi W H, Tang G D, Shang Z F, Ji D H, Lang L L 2014 Phys. B 446 92

    [43]

    Lang L L, Xu J, Li Z Z, Qi W H, Tang G D, Shang Z F, Zhang X Y, Wu L Q, Xue L C 2015 Phys. B 462 47

    [44]

    Xu J, Ji D H, Li Z Z, Qi W H, Tang G D, Zhang X Y, Shang Z F, Lang L L 2015 Physica Status Solidi B 252 411

    [45]

    Xu J, Qi W H, Ji D H, Li Z Z, Tang G D, Zhang X Y, Shang Z F, Lang L L 2015 Acta Phys. Sin. 64 017501 (in Chinese) [徐静, 齐伟华, 纪登辉, 李壮志, 唐贵德, 张晓云, 尚志丰, 朗莉莉 2015 物理学报 64 017501]

    [46]

    Xu J, Ma L, Li Z Z, Lang L L, Qi W H, Tang G D, Wu L Q, Xue L C, Wu G H 2015 Physica Status Solidi B 252 2820

    [47]

    Chen C W 1977 Magnetism, Metallurgy of soft magnetic materials (North- Holland Publishing Company, 1977)

    [48]

    Lee H S, Park C S, Park H H 2014 Appl. Phys. Lett. 104 191604

  • [1]

    Helmolt R V, Wecker J, Holzapfel B, Schultz L, Samwer K 1993 Phys. Rev. Lett. 71 2331

    [2]

    Urushibara A, Moritomo Y, Arima T, Asamitsu A, Kido G, Tokura Y 1995 Phys. Rev. B 51 14103

    [3]

    Tokura Y, Tomioka Y 1999 J. Magn. Magn. Mater. 200 1

    [4]

    Salamon M B, Jaime M 2001 Rev. Moder. Phys. 73 583

    [5]

    Sun Y, Tong W, Xu X J, Zhang Y H 2001 Appl. Phys. Lett. 78 643

    [6]

    Lu Y, Li Q A, Di N L, Li R W, Ma X, Kou Z Q, Cheng Z H 2003 Chin. Phys. 12 1301

    [7]

    Tang G D, Hou D L, Chen W, Zhao X, Qi W H 2007 Appl. Phys. Lett. 90 144101

    [8]

    Tang G D, Hou D L, Li Z Z, Zhao X, Qi W H, Liu S P, Zhao F W 2006 Appl. Phys. Lett. 89 261919

    [9]

    Tang G D, Hou D L, Chen W, Hao P, Liu G H, Liu S P, Zhang X L, Xu L Q 2007 Appl. Phys. Lett. 91 152503

    [10]

    Tang G D, Liu S P, Zhao X, Zhang Y G, Ji D H, Li Y F, Qi W H, Chen W, Hou D L 2009 Appl. Phys. Lett. 95 121906

    [11]

    Liu S P, Tang G D, Li Z Z, Qi W H, Ji D H, Li Y F, Chen W, Hou D L 2011 J. Alloy Comp. 509 2320

    [12]

    Jiang K, Gong S K 2009 Chin.Phys.B 18 3035

    [13]

    Hu L, Sun Y P, Wang B, Luo X, Sheng Z G, Zhu X B, Song W H, Yang Z R, Dai J M 2010 Chin. Phys. Lett. 27 097504

    [14]

    Hong F, Cheng Z X, Wang J L, Wang X L, Dou S X 2012 Appl. Phys. Lett. 101 102411

    [15]

    Liu N, Yan G Q, Zhu G, Guo H Y 2012 Rare Metals 31 135

    [16]

    Yang H, Qi W H, Ji D H, Shang Z F, Zhang X Y, Xu J, Lang L L, Tang G D 2014 Acta Phys. Sin. 63 087503 (in Chinese) [杨虹, 齐伟华, 纪登辉, 尚志丰, 张晓云, 徐静, 郎莉莉, 唐贵德 2014 物理学报 63 087503]

    [17]

    Khan M H, Pal S, Bose E 2015 J. Magn. Magn. Mater. 391 140

    [18]

    Jiang L N, Zhang Y B, Dong S L 2015 Acta Phys. Sin. 64 147104 (in Chinese) [姜丽娜, 张玉滨, 董顺乐 2015 物理学报 64 147104]

    [19]

    Jonker G H, Van Santen J H 1950 Physica 16 337

    [20]

    Shannon R D 1976 Acta Cryst. A 32 751

    [21]

    Chikazumi S 1997 Physics of Ferromagnetism 2e (Oxford University Press), p100-180

    [22]

    Cohen R E 1992 Nature 358 136

    [23]

    Dupin J C, Gonbeau D, Vinatier P, Levasseur A 2000 Phys. Chem. Chem. Phys. 2 1319

    [24]

    Wu L Q, Li Y C, Li S Q, Li Z Z, Tang G D, Qi W H, Xue L C, Ge X S, Ding L L 2015 AIP Advances 5 097210

    [25]

    Phillips J C 1970 Rev. Mod. Phys. 42 317

    [26]

    Thomas J, Pollini I 1985 Phys. Rev. B 32 2522

    [27]

    Chelikowsky J R, Burdett J K 1986 Phys. Rev. Lett. 56 961

    [28]

    Garca A, Cohen M L 1993 Phys. Rev. B 47 4215

    [29]

    Guo Y Y, Kuo C K, Nicholson P S 1999 Solid State Ionics 123 225

    [30]

    Liu S P, Tang G D, Hao P, Xu L Q, Zhang Y G, Qi W H, Zhao X, Hou D L, Chen W 2009 J. Appl. Phys. 105 013905

    [31]

    Liu S P, Zhang Y G, Tang G D, Qi W H, Ji D H, Li Y F, Liu G H, Xie Y, Chen W, Hou D L 2010 Phys. Stat. Sol. 207 2437

    [32]

    Liu S P, Xie Y, Xie J, Tang G D 2011 J. Appl. Phys. 110 123714

    [33]

    Ji D H, Tang G D, Li Z Z, Han Q J, Hou X, Bian R R, Liu S R 2012 J. Appl. Phys. 111 113902

    [34]

    Liu S P, Xie Y, Tang G D, Li Z Z, Ji D H, Li Y F, Hou D L 2012 J. Magn.Magn.Mater. 324 1992

    [35]

    Seah M P, Brown M T 1998 Journal of Electron Spectroscopy and Related Phenomena 95 71

    [36]

    Sunding M F Hadidi K, Diplas S, Lovvik O M, Norby T E, Gunns A E 2011 Journal of Electron Spectroscopy and Related Phenomena 184 399

    [37]

    Cui B, Lin H, Liu Y Z, Li J B, Sun P, Zhao X C, Liu C J 2009 J. Phys. Chem. C 113 14083

    [38]

    Zener C 1951 Phys. Rev. 82 403

    [39]

    Tang G D, Han Q J, Xu J, Ji D H, Qi W H, Li Z Z, Shang Z F, Zhang X Y 2014 Phys. B 438 91

    [40]

    Shang Z F, Qi W H, Ji D H, Xu J, Tang G D, Zhang X Y, Li Z Z, Lang L L 2014 Chin. Phys. B 23 107503

    [41]

    Lang L L, Xu J, Qi W H, Li Z Z, Tang G D, Shang Z F, Zhang X Y, Wu L Q, Xue L C 2014 J. Appl. Phys. 116 123901

    [42]

    Zhang X Y, Xu J, Li Z Z, Qi W H, Tang G D, Shang Z F, Ji D H, Lang L L 2014 Phys. B 446 92

    [43]

    Lang L L, Xu J, Li Z Z, Qi W H, Tang G D, Shang Z F, Zhang X Y, Wu L Q, Xue L C 2015 Phys. B 462 47

    [44]

    Xu J, Ji D H, Li Z Z, Qi W H, Tang G D, Zhang X Y, Shang Z F, Lang L L 2015 Physica Status Solidi B 252 411

    [45]

    Xu J, Qi W H, Ji D H, Li Z Z, Tang G D, Zhang X Y, Shang Z F, Lang L L 2015 Acta Phys. Sin. 64 017501 (in Chinese) [徐静, 齐伟华, 纪登辉, 李壮志, 唐贵德, 张晓云, 尚志丰, 朗莉莉 2015 物理学报 64 017501]

    [46]

    Xu J, Ma L, Li Z Z, Lang L L, Qi W H, Tang G D, Wu L Q, Xue L C, Wu G H 2015 Physica Status Solidi B 252 2820

    [47]

    Chen C W 1977 Magnetism, Metallurgy of soft magnetic materials (North- Holland Publishing Company, 1977)

    [48]

    Lee H S, Park C S, Park H H 2014 Appl. Phys. Lett. 104 191604

  • [1] Wang Bu-Sheng, Liu Yong. Electronic structure and magnetic properties of MnTe from first-principles calculations. Acta Physica Sinica, 2016, 65(6): 066101. doi: 10.7498/aps.65.066101
    [2] Liu Hong-Yan, Liu Zhu-Hong, Li Ge-Tian, Ma Xing-Qiao. Influences of Ga content on the structure and magnetic properties of Mn2 -xNiGa1+x alloys. Acta Physica Sinica, 2016, 65(4): 048102. doi: 10.7498/aps.65.048102
    [3] Jiang En-Hai, Zhu Xing-Feng, Chen Ling-Fu. First-principles study of the electronic structure, magnetism, and spin-polarization in Heusler alloy Co2MnAl(100) surface. Acta Physica Sinica, 2015, 64(14): 147301. doi: 10.7498/aps.64.147301
    [4] Wang Zhi-Guo, Xiang Jun-You, Xu Bao, Wan Su-Lei, Lu Yi, Zhang Xue-Feng, Zhao Jian-Jun. Magnetic and transport properties of perovskite manganites (La1-xGdx)4/3Sr5/3Mn2O7 (x=0, 0.025) polycrystalline samples. Acta Physica Sinica, 2015, 64(6): 067501. doi: 10.7498/aps.64.067501
    [5] He Li-Min, Ji Yu, Lu Yi, Wu Hong-Ye, Zhang Xue-Feng, Zhao Jian-Jun. Magnetic and transport properties of layered perovskite manganites (La1-xEu x)4/3Sr5/3Mn2O7(x=0, 0.15). Acta Physica Sinica, 2014, 63(14): 147503. doi: 10.7498/aps.63.147503
    [6] Yang Hong, Qi Wei-Hua, Ji Deng-Hui, Shang Zhi-Feng, Zhang Xiao-Yun, Xu Jing, Lang Li-Li, Tang Gui-De. Structure and magnetic properties of perovskite manganites La2/3Sr1/3FexMn1-xO 3. Acta Physica Sinica, 2014, 63(8): 087503. doi: 10.7498/aps.63.087503
    [7] Pan Min, Huang Zheng, Zhao Yong. Study on the electronic structures of Iridium-doped SmOFeAs under the strongly correlated electrons effects. Acta Physica Sinica, 2013, 62(21): 217401. doi: 10.7498/aps.62.217401
    [8] Yang Yu-Qi, Gao Qing-Qing, Li Guan-Nan. Structure transformation and magnetisms in Ho2Ni7-xFex compounds. Acta Physica Sinica, 2013, 62(1): 016103. doi: 10.7498/aps.62.016103
    [9] Zhang He, Luo Jun, Zhu Hang-Tian, Liu Quan-Lin, Liang Jing-Kui, Rao Guang-Hui. Phase stability, crystal structure and thermoelectric properties of Cu doped AgSbTe2. Acta Physica Sinica, 2012, 61(8): 086101. doi: 10.7498/aps.61.086101
    [10] Hu Yan-Chun, Wang Yan-Wen, Zhang Ke-Lei, Wang Hai-Ying, Ma Heng, Lu Qing-Feng. Hole doping effects on structure and magnetic properties of Sr2FeMoO6. Acta Physica Sinica, 2012, 61(22): 226101. doi: 10.7498/aps.61.226101
    [11] Luo Li-Jin, Zhong Chong-Gui, Fang Jing-Huai, Zhao Yong-Lin, Zhou Peng-Xia, Jiang Xue-Fan. Responses of electronic structure and magnetism to tetragonal distortion and their influence on pressure for the Heusler alloy Mn2 NiAl. Acta Physica Sinica, 2011, 60(12): 127502. doi: 10.7498/aps.60.127502
    [12] Wang Yu-Mei, Pei Hui-Xia, Ding Jun, Wen Li-Wei. First-principles study of magnetism and electronic structureof Sb-containing half-Heusler alloys. Acta Physica Sinica, 2011, 60(4): 047110. doi: 10.7498/aps.60.047110
    [13] Zhang Fu-Chun, Zhang Wei-Hu, Dong Jun-Tang, Zhang Zhi-Yong. Electronic structure and magnetism of Cr-doped ZnO nanowires. Acta Physica Sinica, 2011, 60(12): 127503. doi: 10.7498/aps.60.127503
    [14] Wang Yong-Long, Pan Hong-Zhe, Xu Ming, Chen Li, Sun Yuan-Yuan. Electronic structure and magnetism of single-layer trigonal graphene quantum dots with zigzag edges. Acta Physica Sinica, 2010, 59(9): 6443-6449. doi: 10.7498/aps.59.6443
    [15] Xu Ben-Fu, Yang Chuan-Lu, Tong Xiao-Fei, Wang Mei-Shan, Ma Xiao-Guang, Wang De-Hua. Geometry, electronic properties and magnetism of FenO+m(n+m=4) clusters. Acta Physica Sinica, 2010, 59(11): 7845-7849. doi: 10.7498/aps.59.7845
    [16] Zhang Yu, Liu Yong-Jun, Liu Xian-Feng, Jiang Xue-Fan. Electronic structure and magnetism of the double perovskite SrKFeWO6. Acta Physica Sinica, 2010, 59(5): 3432-3437. doi: 10.7498/aps.59.3432
    [17] Luo Hong-Zhi, Jia Lin, Li Yang-Xian, Meng Fan-Bin, Shen Jiang, Chen Nan-Xian, Wu Guang-Heng, Yang Fu-Ming. Structure and magnetic properties of (Nd1-xErx)3Fe25Cr4.0 compounds. Acta Physica Sinica, 2005, 54(5): 2176-2182. doi: 10.7498/aps.54.2176
    [18] Fu Guang-Cai, Li Ming-Xing, Dong Cheng, Guo Juan, Yang Li-Hong. Structural, transport and magnetic properties of KxCoO2·yH2O(x<0.2, y≤0.8). Acta Physica Sinica, 2005, 54(12): 5713-5716. doi: 10.7498/aps.54.5713
    [19] Guo Hong-Yong, Liu Bao-Dan, Tang Ning, Luo Hong-Zhi, Li Yang-Xian, Yang Fu-Ming, Wu Guang-Heng. The effect of Co substitution and stabilizing element on the structure and magnetic properties of Nd3(Fe,Co,M)29(M=Ti,V,Cr) compounds. Acta Physica Sinica, 2004, 53(1): 189-193. doi: 10.7498/aps.53.189
    [20] CHEN ZHEN-PING, ZHANG JIN-CANG, CHENG GUO-SHENG, LI XI-GUI, ZHANG XUN-SHENG. STUDY OF THE SYNTHESIS PROCESS AND STRUCTURAL DEFECTS IN Y-123 SUPERCONDUCTING SYSTEMS BY POSITRON EXPERIMENT. Acta Physica Sinica, 2001, 50(3): 550-555. doi: 10.7498/aps.50.550
Metrics
  • Abstract views:  6849
  • PDF Downloads:  261
  • Cited By: 0
Publishing process
  • Received Date:  07 August 2015
  • Accepted Date:  29 October 2015
  • Published Online:  20 January 2016

/

返回文章
返回