Sintering reaction and microstructure of MAl (M = Ni, Fe, and Mg) nanoparticles through molecular dynamics simulation
Yuwen Zhang(张宇文)1, Yonghe Deng(邓永和)2, †, Qingfeng Zeng(曾庆丰)3, Dadong Wen(文大东)2, Heping Zhao(赵鹤平)1, Ming Gao(高明)1, Xiongying Dai(戴雄英)2, and Anru Wu(吴安如)4$
1 College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou 416000, China 2 School of Computational Science and Electronics, Hunan Institute of Engineering, Xiangtan 411104, China 3 School of Physics, Guizhou University, Guiyang 550025, China 4 Hunan Provincial Key Laboratory of Vehicle Power and Transmission Systems, Hunan Institute of Engineering, Xiangtan 411104, China
The sintering–alloying processes of nickel (Ni), iron (Fe), and magnesium (Mg) with aluminum (Al) nanoparticles were studied by molecular dynamics simulation with the analytic embedded-atom model (AEAM) potential. Potential energy, mean heterogeneous coordination number , and surface atomic number Nsurf–A were used to monitor the sintering–reaction processes. The effects of surface segregation, heat of formation, and melting point on the sintering–alloying processes were discussed. Results revealed that sintering proceeded in two stages. First, atoms with low surface energy diffused onto the surface of atoms with high surface energy; second, metal atoms diffused with one another with increased system temperature to a threshold value. Under the same initial conditions, the sintering reaction rate of the three systems increased in the order MgAl < FeAl < NiAl. Depending on the initial reaction temperature, the final core–shell (FeAl and MgAl) and alloyed (NiAl and FeAl) nanoconfigurations can be observed.
Received: 08 May 2020
Revised: 01 July 2020
Accepted manuscript online: 06 July 2020
Fund: the National Natural Science Foundation of China (Grant Nos. 11572124 and 51871096) and the Natural Science Foundation of Hunan Province of China (Grant Nos. 2018JJ4044 and 2018JJ3100).
Yuwen Zhang(张宇文), Yonghe Deng(邓永和), Qingfeng Zeng(曾庆丰), Dadong Wen(文大东), Heping Zhao(赵鹤平), Ming Gao(高明), Xiongying Dai(戴雄英), and Anru Wu(吴安如)$ Sintering reaction and microstructure of MAl (M = Ni, Fe, and Mg) nanoparticles through molecular dynamics simulation 2020 Chin. Phys. B 29 116601
Fig. 1.
Initial configuration of different particles. (a) M147Al147 nanoparticles; (b) M309Al309 nanoparticles; (c) M561Al561 nanoparticles. M (M = Mg, Ni, and Fe) and Al atoms are shown as orange and gray spheres, respectively.
Material
Structure
ΔH/(eV/atom)
Present
The first principles calculations
MgAl
B2
–0.024
0.051[23]
MgAl3
L12
–0.031
–0.015[23]
Mg3Al
L12
–0.007
–0.005[23]
NiAl
B2
–0.66
–0.67[31]
NiAl3
L12
–0.27
Ni3Al
L12
–0.52
–0.44[31]
FeAl
B2
–0.27
–0.28[23]
FeAl3
L12
–0.045
–0.11[23]
Fe3Al
L12
–0.17
–0.19[23]
Table 1.
The heats of formation (ΔH) for M3Al, MAl, and MAl3 (M = Ni, Fe, and Mg).
Material
Structure
Esurf/(mJ/m2)
ratom/nm
Surface
Present
FP
EMP
Ni
FCC
(111)
1749
2011
0.1243
(110)
1935
2368
(100)
1793
2426
Fe
BCC
(111)
1510
2733
0.1124
(110)
1230
2430
(100)
1356
2222
Mg
HCP
(0001)
301
792
0.1590
Al
FCC
(111)
713
939
0.1426
(100)
747
1081
(110)
809
1090
Table 2.
The surface energy (Esurf) and atomic radius (ratom) for Ni, Fe, Mg, and Al with different structures and surfaces, the first principle (FP) calculations[38] as well as available theory value[7] (EMP) are also listed.
Fig. 2.
The evolution of the potential energy (PE) per atom with temperature for pure Ni (a), Mg (b), Fe (c), and Al (d) nanoparticles with ICO configuration.
Material
Melting point/K
N = 147
N = 309
N = 561
Ni
950
1100
1180
Fe
1090
1190
1290
Al
570
660
710
Mg
540
600
650
Table 3.
Melting point for single Ni, Fe, Mg, and Al nanoparticle with sizes (N = 147, 309, and 561).
Fig. 3.
The temperature evolution of the Fe309Al309, Mg309Al309, and Ni561Al561 nanoparticles with relation time at different initial temperatures.
Fig. 4.
Heats of formation for resulting MAl (M = Ni, Fe, and Mg) nanoparticles with the size of the atom.
Fig. 5.
Final configurations of M309Al309 (M = Fe and Mg) nanoparticles after sintering for three different initial temperatures. (a) Fe309Al309; (b) Mg309Al309. The orange and gray balls represent M (M = Fe and Mg) and Al atoms, respectively.
Fig. 6.
The evolution of Ni561Al561 nanoparticle at Tinit = 100 K. (a) Collision point; (b) diffusion stage; (c) final configuration. The orange and gray balls represent Ni and Al atoms, respectively.
Fig. 7.
Time evolution with the surface atomic number Nsurf in MAl (M = Fe and Mg) nanoparticles for the various initial temperatures. (a) Fe309Al309, (b)Mg309Al309, (c) Ni561Al561.
Fig. 8.
The evolution trend of of MAl (M = Ni, Fe, and Mg) nanoparticles with time for different initial temperatures during the sintering. (a) Fe309Al309; (b) Mg309Al309; (c) Ni561Al561.
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