The coercive field of permanent magnets decreases with increasing grain size. The grain size dependence of coercivity is explained by a size dependent demagnetizing factor. In Dy free Nd2Fe14B magnets, the size dependent demagnetizing factor ranges from 0.2 for a grain size of 55 nm to 1.22 for a grain size of 8300 nm. The comparison of experimental data with micromagnetic simulations suggests that the grain size dependence of the coercive field in hard magnets is due to the non-uniform magnetostatic field in polyhedral grains.
References
1.
O.
Gutfleisch
, M. A.
Willard
, E.
Brück
, C. H.
Chen
, S. G.
Sankar
, and J. P.
Liu
, Adv. Mater.
23
, 821
(2011
).2.
M.
Sagawa
, in Proceedings of the 21st Workshop on Rare-Earth Permanent Magnets and Their Applications
, edited by S.
Kobe
and P. J.
McGuinness
(Jozef Stefan Institute, Ljubliana
, 2010
), pp. 183
–186
.3.
H.
Sepehri-Amin
, T.
Ohkubo
, S.
Nagashima
, M.
Yano
, T.
Shoji
, A.
Kato
, T.
Schrefl
, and K.
Hono
, Acta Mater.
61
, 6622
(2013
).4.
H.
Kronmüller
, K.-D.
Durst
, and M.
Sagawa
, J. Magn. Magn. Mater.
74
, 291
(1988
).5.
K.
Uestuener
, M.
Katter
, and W.
Rodewald
, IEEE Trans. Magn.
42
, 2897
(2006
).6.
R.
Ramesh
, G.
Thomas
, and B. M.
Ma
, J. Appl. Phys.
64
, 6416
(1988
).7.
W. F.
Li
, T.
Ohkubo
, K.
Hono
, and M.
Sagawa
, J. Magn. Magn. Mater.
321
, 1100
(2009
).8.
T.
Weizhong
, Z.
Shouzeng
, and H.
Bing
, J. Magn. Magn. Mater.
94
, 67
(1991
).9.
M.
Grönefeld
and H.
Kronmüller
, J. Magn. Magn. Mater.
80
, 223
(1989
).10.
A.
Thiaville
, D.
Tomas
, and J.
Miltat
, Phys. Status Solidi A
170
, 125
(1998
).11.
W.
Rave
, K.
Ramstöck
, and A.
Hubert
, J. Magn. Magn. Mater.
183
, 329
(1998
).12.
M. E.
Schabes
and H. N.
Bertram
, J. Appl. Phys.
64
, 1347
(1988
).13.
H.
Schmidts
and H.
Kronmüller
, J. Magn. Magn. Mater.
94
, 220
(1991
).14.
J.
Thielsch
, D.
Suess
, L.
Schultz
, and O.
Gutfleisch
, J. Appl. Phys.
114
, 223909
(2013
).15.
H.
Sepehri-Amin
, T.
Ohkubo
, M.
Gruber
, T.
Schrefl
, and K.
Hono
, Scr. Mater.
89
, 29
(2014
).16.
L.
Exl
, S.
Bance
, F.
Reichel
, T.
Schrefl
, H.
Peter Stimming
, and N. J.
Mauser
, J. Appl. Phys.
115
, 17D118
(2014
).17.
18.
R.
Fryxell
and B.
Chandler
, J. Am. Ceram. Soc.
47
, 283
(1964
).19.
20.
G.
Akoun
and J.-P.
Yonnet
, IEEE Trans. Magn.
20
, 1962
(1984
).21.
R.
Grössinger
, X. K.
Sun
, R.
Eibler
, K. H. J.
Buschow
, and H. R.
Kirchmayr
, Phys. (Paris)
46
, C6
–221
(1985
).22.
S.
Hock
, “Züchtung und magnetische Eigenschaften von (Fe,Al)14(Nd,Dy)2B-Einkristallen
,” Ph.D. thesis (Universität Stuttgart
, 1988
).23.
R.
Skomski
, J. Phys.: Condens. Matter
15
, R841
(2003
).24.
A.
Aharoni
, J. Appl. Phys.
86
, 1041
(1999
).25.
T.
Fukada
, M.
Matsuura
, R.
Goto
, N.
Tezuka
, S.
Sugimoto
, Y.
Une
, and M.
Sagawa
, Mater. Trans.
53
, 1967
(2012
).26.
R.
Dittrich
and T.
Schrefl
, IEEE Trans. Magn.
41
, 3592
(2005
).27.
L.
Saharan
, C.
Morrison
, J.
Miles
, T.
Thomson
, T.
Schrefl
, and G.
Hrkac
, J. Appl. Phys.
110
, 103906
(2011
).28.
S.
Bance
, H.
Oezelt
, T.
Schrefl
, G.
Ciuta
, N. M.
Dempsey
, D.
Givord
, M.
Winklhofer
, G.
Hrkac
, G.
Zimanyi
, O.
Gutfleisch
, T. G.
Woodcock
, T.
Shoji
, M.
Yano
, A.
Kato
, and A.
Manabe
, Appl. Phys. Lett.
104
, 182408
(2014
).29.
H.
Kronmüller
and M.
Fähnle
, Micromagnetism and the Microstructure of Ferromagnetic Solids
(Cambridge University Press
, 2003
).30.
E. C.
Stoner
and E. P.
Wohlfarth
, Philos. Trans. R. Soc. London, Ser. A
240
, 599
(1948
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
You do not currently have access to this content.