La3Co29-xFexSi4B10的择优占位、电子结构和晶格振动性质的理论研究

王晓旭; 赵琉涛; 成海霞; 钱萍

doi:10.7498/aps.65.057103

摘要

分别用第一性原理及原子间相互作用势对初始模型进行几何优化, 所得稳定结构的晶格参数均与实验值符合较好. 通过第一性原理密度泛函理论, 计算了稳定结构La3Co29-xFexSi4B10化合物择优占位情况, 计算结果表明, Fe原子最择优替代Co 原子的2c晶位, 择优占位顺序为2c 8j1 8i2 8j2 8i3 16k 8i1, 这与实验结果非常符合. Fe原子每次只替代不同晶位的一个Co原子时, La3Co29-xFexSi4B10 体系的晶格常数几乎不变, 磁矩却发生了有趣的变化. 当Fe原子沿着择优顺序依次替代不同晶位的所有Co原子时, 随着La3Co29-xFexSi4B10体系中Fe原子含量的增多, 其电子态密度整体向左移动. Fe原子完全替代Co时, 与未掺杂时相比体系的总磁矩增加. 最后, 利用原子间相互作用势进一步预测了La3Co29-xFexSi4B10体系的晶格振动及热力学性质. 在低频部分, 振动模式主要由质量较大的Co, Fe和La元素作贡献; 随着掺杂原子Fe的增多, 体系的截止频率先减小后增多, 中频部分由Si元素引起的振动模式减少; B-B强相互作用引起了高频部分的振动模式. 基于声子态密度预测了不同数量Fe掺杂后体系的比热、熵和德拜温度的变化, 当Fe 含量大于Co时, 德拜温度明显升高.

关键词:

Abstract

In this work, the initial configuration is first optimized by the first principle and interatomic pair potentials separately, the lattice parameters of the stable structure are in good agreement with the experimental values. The site preferences of La3Co29-xFexSi4B10 compounds are studied by using the first principle with density function theory method. The calculated results show that the substitution of Fe for Co has a strong preference for the 2c site, and the substitution sequence is 2c 8j1 8i2 8j2 8i3 16k 8i1, which is in good agreement with the experimental result The lattice parameters of La3Co29-xFexSi4B10 system change little, but the magnetic moment changes obviously, when only one Co atom is substituted by Fe atoms each time. We calculate the electronic densities of states and magnetic moments of La3Co29-xFexSi4B10 compound when all the Co atoms from different sites are substituted by Fe atoms with the preferential order With the increases of Fe content values in the La3Co29-xFexSi4B10, the curves of density of states move leftwards gradually. And the magnetic moment of the La3Fe29Si4B10 is larger than that of La3Co29Si4B10. Furthermore, the lattice vibrational and thermodynamic properties are predicted by using a series of interatomic pair potentials. The Co, Fe and La atoms contribute to the lower frequency vibrations because of their heavier mass. With the increase of Fe content the cut-off frequencies of La3Co29-xFexSi4B10 first decrease and then increase, and the vibration mode induced by Si element decreases in medium frequency. The very strong B-B interaction causes higher frequency vibrations. Furthermore, the specific heat, vibrational entropy and Debye temperature are predicted based on the phonon densities of states of the La3Co29-xFexSi4B10 with the different content values of Fe. The Debye temperature rises when the Fe content is bigger than Co content in La3Co29-xFexSi4B10compound.

Keywords:

作者及机构信息

1.
北京市计算中心, 北京 100094;

2.
北京科技大学数理学院, 应用物理研究所, 北京 100083

通信作者: 王晓旭, wangxx@bcc.ac.cn

基金项目: 国家重点基础研究发展计划 (批准号: 2011CB606401)资助的课题.

Authors and contacts

1.
Beijing Computing Center, Beijing 100094, China;

2.
Institute of Applied Physics, Beijing University of Science and Technology, Beijing 100083, China

Corresponding author: Wang Xiao-Xu, wangxx@bcc.ac.cn

Funds: Project supported by the National Basic Research Program of China (Grant No. 2011CB606401).

参考文献

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[2]	Ren W D, Zhang Z D 2013 Chin. Phys. B 22 077507
[3]	Hirosawa S, Matsuura Y, Yamamoto H, Fujimura S, Sagawa M and Yamauchi H 1986 J. Appl. Phys. 59 873
[4]	He Y Z 2013 Chin. Phys. B 22 074101
[5]	Yan G L, Fang Z H 2015 Chin. Phys. B 24 107503
[6]	Zhang H, Shen B G. 2015 Chin. Phys. B 24 127504
[7]	Jiang T, He F S Jiao F, He F, Lu X Y, Zhao K, Zhao H Y You Y S, Chen L 2014 Chin. Phys. B 23 057403
[8]	Niihara K, Yajima S 1972 Chem Lett. 10 875
[9]	Malik S K, Zhang L Y, Wallace W E, Sankar S G 1989 J. Magn. Mater. 78 L6
[10]	Rosenberg M, Mittag M, Buschow K H J 1988 J. Appl. Phys. 63 3586
[11]	Wu E, Wantenaar G H J, Campbell S J, Li H S 1993 J. Phys. Condens Matter 5 L457
[12]	Zhang H, Wu E, Campbell S J, Kennedy S J, Li H S, Studer A J, Bulcock S R, Rae A D 1998 J. Alloy Compd. 278 239
[13]	Zhang H, Campbell S J, Edge A V J 2000 J. Phys. Condens Matter. 12 L159
[14]	Zhang H, Campbell S J, Li H S, Hofmann M, Edge A V J 2000 J. Phys. Condens Matter. 12 5021
[15]	Wang X X, Qian P, Zhang Z F, Liu Y, Shen J, Chen N X 2013 Intermetallics 42 112
[16]	Cheng H X, Wang X X, Hu Y W, Zhang G H, Shen J, Qian P, Chen N X 2015 J. Solid State Chem. 224 7
[17]	Kresse G, Furthmller J 1996 Comput. Mater. Sci. 6 15
[18]	Kresse G, Furthmller J 1996 Phys. Rev. B 55 11169
[19]	Blöchl P E 1994 Phys. Rev. B 50 17953
[20]	Perdew J P, Ziesche P, Eschrig H 1991 Akademie Verlag, Berlin
[21]	Perdew J P, BurkeK, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[22]	Chen N X, Ren G B 1992 Phys. Rev. B 45 8177
[23]	Chen N X Ge X J, Zhang W Q, Zhu F W 1998 Phys. Rev. B 57 14203
[24]	Qian P, Hu Q Y, Shen J, Feng Y, Pan H Y, Hu P 2010 Model. Simul. Mater. Sci. Eng. 18 045002
[25]	Huang K, Han R Q 1988 Solid State Physics (Beijing: Higher Education Press) p29 (in Chinese) [黄昆, 韩汝琦 1988 固体物理学 (北京: 高等教育出版社) 第29页]
[26]	Chen Y L 2000 Mössbauer Effect in Lattice Dynamics (Wuhan: Wuhan University Press) pp113-173 (in Chinese) [陈义龙 2000 穆斯堡尔效应与晶体动力学 (武汉: 武汉大学出版社)第113-173页]

施引文献

[1]	Pan Y J 1993 A handbook for extractive metallurgy of nonferrous metals: rare earth metals (Beijing: Metallurgical Industry Press) pp4-47 (in Chinese) [潘叶金 1993 有色金属提取冶金手册: 稀土金属 (北京: 冶金工业出版社) 第4-47页]
[2]	Ren W D, Zhang Z D 2013 Chin. Phys. B 22 077507
[3]	Hirosawa S, Matsuura Y, Yamamoto H, Fujimura S, Sagawa M and Yamauchi H 1986 J. Appl. Phys. 59 873
[4]	He Y Z 2013 Chin. Phys. B 22 074101
[5]	Yan G L, Fang Z H 2015 Chin. Phys. B 24 107503
[6]	Zhang H, Shen B G. 2015 Chin. Phys. B 24 127504
[7]	Jiang T, He F S Jiao F, He F, Lu X Y, Zhao K, Zhao H Y You Y S, Chen L 2014 Chin. Phys. B 23 057403
[8]	Niihara K, Yajima S 1972 Chem Lett. 10 875
[9]	Malik S K, Zhang L Y, Wallace W E, Sankar S G 1989 J. Magn. Mater. 78 L6
[10]	Rosenberg M, Mittag M, Buschow K H J 1988 J. Appl. Phys. 63 3586
[11]	Wu E, Wantenaar G H J, Campbell S J, Li H S 1993 J. Phys. Condens Matter 5 L457
[12]	Zhang H, Wu E, Campbell S J, Kennedy S J, Li H S, Studer A J, Bulcock S R, Rae A D 1998 J. Alloy Compd. 278 239
[13]	Zhang H, Campbell S J, Edge A V J 2000 J. Phys. Condens Matter. 12 L159
[14]	Zhang H, Campbell S J, Li H S, Hofmann M, Edge A V J 2000 J. Phys. Condens Matter. 12 5021
[15]	Wang X X, Qian P, Zhang Z F, Liu Y, Shen J, Chen N X 2013 Intermetallics 42 112
[16]	Cheng H X, Wang X X, Hu Y W, Zhang G H, Shen J, Qian P, Chen N X 2015 J. Solid State Chem. 224 7
[17]	Kresse G, Furthmller J 1996 Comput. Mater. Sci. 6 15
[18]	Kresse G, Furthmller J 1996 Phys. Rev. B 55 11169
[19]	Blöchl P E 1994 Phys. Rev. B 50 17953
[20]	Perdew J P, Ziesche P, Eschrig H 1991 Akademie Verlag, Berlin
[21]	Perdew J P, BurkeK, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865
[22]	Chen N X, Ren G B 1992 Phys. Rev. B 45 8177
[23]	Chen N X Ge X J, Zhang W Q, Zhu F W 1998 Phys. Rev. B 57 14203
[24]	Qian P, Hu Q Y, Shen J, Feng Y, Pan H Y, Hu P 2010 Model. Simul. Mater. Sci. Eng. 18 045002
[25]	Huang K, Han R Q 1988 Solid State Physics (Beijing: Higher Education Press) p29 (in Chinese) [黄昆, 韩汝琦 1988 固体物理学 (北京: 高等教育出版社) 第29页]
[26]	Chen Y L 2000 Mössbauer Effect in Lattice Dynamics (Wuhan: Wuhan University Press) pp113-173 (in Chinese) [陈义龙 2000 穆斯堡尔效应与晶体动力学 (武汉: 武汉大学出版社)第113-173页]

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