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金属学报  2019, Vol. 55 Issue (3): 369-375    DOI: 10.11900/0412.1961.2018.00102
  本期目录 | 过刊浏览 |
Ni-Mn-Ga-Ti铁磁形状记忆合金的相稳定性和磁性能的第一性原理计算
白静1,2,3,4(),石少锋1,2,王锦龙1,2,王帅2,赵骧1
1. 东北大学材料各向异性与织构教育部重点实验室 沈阳 110819
2. 东北大学秦皇岛分校资源与材料学院 秦皇岛 066004
3. 东北大学秦皇岛分校河北省电介质与电解质功能材料实验室 秦皇岛 066004
4. 东北大学秦皇岛分校秦皇岛市先进金属材料及成型技术重点实验室 秦皇岛 066004
First-Principles Calculations of Phase Stability and Magnetic Properties of Ni-Mn-Ga-Ti FerromagneticShape Memory Alloys
Jing BAI1,2,3,4(),Shaofeng SHI1,2,Jinlong WANG1,2,Shuai WANG2,Xiang ZHAO1
1. Key Laboratory for Anisotropy and Texture of Materials Ministry of Education, Northeastern University, Shenyang 110819, China
2. School of Resources and Materials, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
3. Hebei Provincial Laboratory for Dielectric and Electrolyte Functional Materials, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
4. Key Laboratory of Advanced Metal Materials and Forming Technology in Qinhuangdao, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
引用本文:

白静, 石少锋, 王锦龙, 王帅, 赵骧. Ni-Mn-Ga-Ti铁磁形状记忆合金的相稳定性和磁性能的第一性原理计算[J]. 金属学报, 2019, 55(3): 369-375.
Jing BAI, Shaofeng SHI, Jinlong WANG, Shuai WANG, Xiang ZHAO. First-Principles Calculations of Phase Stability and Magnetic Properties of Ni-Mn-Ga-Ti FerromagneticShape Memory Alloys[J]. Acta Metall Sin, 2019, 55(3): 369-375.

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摘要: 

通过第一性原理计算系统地研究了掺杂Ti含量对Ni8Mn4-xGa4Tix (x为单胞中掺杂Ti原子的个数,x=0、0.5、1、1.5和2)铁磁形状记忆合金相稳定性和磁性能的影响。根据能量最低原理,掺杂的Ti组元优先占据Ni2MnGa合金中的Mn阵点。随着Ti含量的增加,顺磁奥氏体与铁磁奥氏体相的总能之差减小,从本质上导致了实验观察到的合金Curie温度(TC)的降低。随着Ti含量的逐渐增加,Fermi面以下自旋向上总电子态密度逐渐降低,而自旋向下的部分几乎不变,导致自旋向上与自旋向下的电子数之差减小,这是Ti含量增加而合金总磁矩降低的本质原因。本工作的计算结果对指导实验中的成分设计和开发新型磁控形状记忆合金具有重要意义。

关键词 Ni-Mn-Ga-Ti第一性原理计算相稳定性磁性能    
Abstract

The main purpose of the present work is to explore the influence of the Ti addition on crystal structure, phase stability, magnetic properties and electronic structures of the Ni8Mn4-xGa4Tix (x is the number of Ti atoms in a unit cell, x=0, 0.5, 1, 1.5 and 2) alloys by first-principles calculations, aiming at providing the theoretical data and directions for developing high performance ferromagnetic shape memory alloys (FSMAs) in this alloy system. The formation energy results indicate that the doped Ti preferentially occupies the Mn sites in Ni2MnGa alloy. With the increase of Ti content, the optimized lattice parameter of the ferromagnetic austenite increases regularly. For the martensitic phase, the lattice parameter a increases while c decreases, leading to a decreased c/a ratio. The paramagnetic and ferromagnetic austenitic phases both become stable because their formation energies (Eform) gradually decrease with the increasing amount of Ti. The experimentally reported decrease in the Curie temperature with increasing Ti content is derived from the decrease of the total energy difference between the paramagnetic and the ferromagnetic austenite. The total magnetic moment is mainly contributed by Mn, while the magnetic moments of Ga and Ti are nearly zero. The total magnetic moment decreases notably when Mn is gradually substituted by Ti because the atomic magnetic moment of Ti is much less than that of Mn, which is in fair consistent with the experimental observations. The intensity of up-spin total density of state (DOS) decreased dramatically with the increase of the Ti content; whereas the change of the down-spin part below EF is not obvious. This feature gives rise to the decrease of the total magnetic moments in these alloys. The results of present work are particularly useful in guiding composition design and developing new type of magnetic shape memory alloy.

Key wordsNi-Mn-Ga-Ti    first-principles calculation    phase stability    magnetic property
收稿日期: 2018-03-19     
ZTFLH:  TG139.6  
基金资助:国家自然科学基金项目(51771044);国家自然科学基金项目(51431005);国家自然科学基金项目(51301036);国家高技术研究发展计划项目(SS2015AA031803);中央高校基本科研业务费专项资金项目(N130523001)
作者简介: 白 静,女,1983年生,副教授,博士
图1  Ni2MnGa合金的晶体结构示意图
xPhasea / nmc / nmc/a
0FA0.5794 (0.5823[35])
NM0.3794 (0.3852[36])0.6736 (0.6580[36])1.775 (1.708[36])
0.5FA0.5806
NM0.38460.65981.716
1FA0.5817
NM0.39090.64171.642
1.5FA0.5830
NM0.41040.58921.436
2FA0.5842
NM0.41250.58401.416
表1  Ni8Mn4-xGa4Tix (x=0、0.5、1、1.5和2)合金的铁磁奥氏体(FA)和非调制马氏体相(NM)的平衡晶格参数
图2  Ni8Mn4-xGa4Tix (x=0、0.5、1、1.5和2)合金的顺磁和铁磁奥氏体相的形成能(Eform)
xEtot (PA) / eVEtot (FA) / eVΔEtot / eVEvaluated TC / K
0-91.214-95.4714.257365
0.5-91.708-95.3753.667314
1-92.222-95.2903.069263
1.5-92.740-95.2112.471212
2-93.239-95.1271.888162
表2  Ni8Mn4-xGa4Tix (x=0、0.5、1、1.5和2)合金顺磁奥氏体和铁磁奥氏体的总能量(Etot (PA)和Etot (FA))和二者的能量差(ΔEtot)以及估算的Curie温度(TC)
xMNiMMnMGaMTiMtot
00.325 (0.334[42])3.085 (3.181[42])-0.050 (-0.037[42])3.732 (3.867[42], 3.960[43])
0.50.201~0.3263.065~3.130-0.056~-0.022-0.0773.222
10.179~0.1893.021~3.144-0.072~-0.019-0.1152.631
1.50.100~0.1923.055~3.135-0.057~-0.016-0.100~-0.0112.189
20.090~0.0953.063-0.042~-0.017-0.0511.680
表3  Ni8Mn4-xGa4Tix (x=0、0.5、1、1.5和2)合金奥氏体相的原子磁矩(MNi、MMn、MGa和MTi)和总磁矩(Mtot)的计算结果
图3  Ni8Mn4-xGa4Tix (x=0、1、2)合金奥氏体母相的自旋总电子态密度
图4  Ni8Mn4-xGa4Tix (x=0、1、2)合金奥氏体母相的自旋分波态密度
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