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一、退磁场. 二、磁畴的形成. 三、磁畴的覌察. 四、技术磁化. 五、动态磁化过程. E 、磁性物理的基础. 磁畴与技术磁化. 一、退磁场. 铁磁体在外磁场 H 中的能量 ( 单位体积 ). ( I 为铁磁体的磁化强度 ). 当铁磁体由于磁化,在表面具有面磁极 ( 荷 ) 或体磁极 ( 荷 ) 时,在铁磁体内将产生与磁化强度方向相反的退磁场 H d 。如果磁化均匀,则退磁场也是均匀磁场,且与磁化强度成比例而方向相反,因此. - PowerPoint PPT Presentation
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E
H()( I ) ( )( )Hd N NIx ,Iy ,Iz , NHdx=-NxIx ,Hdy=-NyIy ,Hdz=-NzIzNx+Ny+Nz=1 ( 4 [ CGS ] )a=b=c , Nx=Ny=Nz=N0=1/3 (4/3)ab=c, Nx=0,Ny=Nz=1/2 ( 2 )ab,c, Ny=Nz=0,Nx=1 ( 4 )
( 1 )K( 2 ) k1( 3 )K
Hc=2Am-1(=0.025Oe)Is=1.16T,( )Hex>HdHc105N(Lorentz)
(1/2)NIS2
( a )( Is103106/3 )( b ),( C ) n(n)1/n() de
-- D DLL/D1/DL/D1.71Is2D() 2/2Is1700L=1D10-3
450cD/2K1D/2L=1D=10-3450exx=100,,
-- 1800900 1800(J )ijijN+1 a0Na=+
1800,0=1800=/2A1 A1=nJS2/a, a=2.8662
fJSiSj (J>0)zWeissSiEe=Emw JK
,WeissZ(S=1/2)(S=1/2)(S=1)an( k=1.38x10-23J.K-1=1.38x10-16ergK-1)()
J -(Bethe-Peierls) SjSi+1/2-1/2SjSBethe,sSiSjzp1/2q-1/2
Up+Si=1/2UUp-Si=-1/2USi1/2Si-1/2SiSjSiSj= ,HmTIs
( Arrort plot )J=1/2 I I0HH/2TH/21/ 0Tca
- ( Hopkinson effect ) Kersten1800AI2AS2 n=4
IsIs(-) ab Is
( ) Ed=E ,S a0Z 124(erg/cm2)I(Gs)(CGS)(MKSA)
NiO()CoO()TTCoO t () t X(B-B)Tt
1 1907Weiss 1919C2 1931Bitter
2 b
3( Lorentz ) a )b )Xc )
4MFM AFMMFMAFMMFMAFM(520nm)10200nm 100nm
Topographic AFM imageMagnetic MFM imageMultiwalled carbon nanotube shows no magnetic contrast on CuMFM of nanotube on Cu
d e f g h i jo a b c do g ----Hco e , o i ---Br ,i ,mIsIrod --- BMB=H+4I , Bs=H+4IsB=H , =1+4 , = I / Hd=B/H,A(H0)
IsI -HO( 1 )( 4 )() ()( 5 )-pa a( 2 )( Rayleigh )( 3 )IBm m1
K1>0[100]1800900[100]Is[100][110]Is[100]Is[010]2H // [100]H // [110]H
() 1800F(x)F(x)baa dxF(x)ab b,,
3bc, cd( H0 ) a ) s() b )
A 18001800x0( x ) 900-(3/2)scos2900cos01
B1800S 4A1900900 =0 x ,
dH900 900xl6l2l39006l2/l3=6/l2/3900 0=Es,EIs=1700=19.5x10-6E=1012/2,030000
B 2da1800 xSSa2
x=0a,2a..1800l=a/l(l1)1800900az=(Dm/Dz)z,Dm=Dz=,,
5- [100][110][111][100]FkFH (1) [100]FkFH[100] (2)[110]Is//[100]Is//[010]HIsIsIs()
j=cos=I/IsK0 j=1 (3)[111]Is(110)j=cos,j=1
(Stoner-Wohlfarth) ,sin2, E/=0 2E/2=0 H0
sincossin20p 00=450, p =1,0=00, p =2,
6- a2 (1)()K2 (2)//H
FeNi
K1a2K1 -a1/Ha1/Ha1 ()p---
7-Hc Hc 1/(10-3)106/(104)(107)()
( 1 ) (l,d)dS ,H0Hs SmCo51200-4800kA/m( d )
( 2 ) 1521715217 Hci HcbB
8-(BH)m (), Br0Ms,0Mr=0Ms,()( kJ/m3 )0Ms=2T,( BH )mT=100B( T )- H
1 magnetic after-effect aging In0t=0
(loss angle)tan(loss factor) ln12 1/12Richter
A. diffusion after-effect xyzEaEa0t=0 Qlog1/T(k)Q=0.99eVz
B.(thermal fluctuation after-effect)Neel,sin2,
sincossin20p00=4500=00 0=0EE/cos=IsH/2KuUmax=0Is2H2/4Ku TkT/2kT/2kT/2H=0kT/2
H0 Ku H0=2Ku/Is,
2 () r r 1/eS (skin depth)
=1x10-7m,=500,50Hz=1x102cm=1m,=500,f=50Hz500kHz
3 Btan1/tan=Q
3.1 () 3.2
3.2.1 cfMn-Zn103,5x104,f=1.5MHz2.8
3.2.2 =1.105x105g(Am-1s-1)g2NiZnK1=-5x102Jm-3,Is=0.3T
Snoek ,Ku< 0ccHa1,Ha2,Ha2>Ha1Snoek,,
snoek 10 nm 20 mk =2000,Is=0.3THa1=NxIHa2=NzINk>>1 Is=0.5T,=10, fc=9.35x108 k=100, fc=9.35x109
4(disaccommodation) Snoek OhtaBOhtaYamadaya102Jm3BYanase Snoek0.1eV0.5~0.8eV
5.( 1 ) MH (1)(2)1.M g=2.003g2.003H=106/4A/m(0.1T),0=21010Hz..
( 3 ) ( 4 )( 5 ).M..0Mmx ,my ,Mz0.
zH0hH=H0+h0ejt,H0h0MH0MzmM=Mz+mejtmh mxmyhxhyM=res
k =n/LLn
nn=k=0=H=0 AA=1.22x10-15J/m
,MzMs,,0,.,,.0,,,. ,,,,MH,0=H,.,,=0. H,Hmx=hx+jehy, my=-jehx+hy.,. ,--,.,.
1 (metamagnetism) //(spin-axis floppung)W2AB (z-)//Hc,
2 IAIBIA>IBIAH,IBH,IBIA,IB |IA||IB|-
FeRh230KRhCoKanamoriTeraokaRhFeFe-Fe( ){ FeRh( 20-53Rh )673-9500K, Fe3.2 MB; Rh0.64 MB(48Rh )}
KuH0Is IH() HH I-H
C()0sin=,K1,KuK1K1Ku(2/3)K10=/2,,,,Is=2.15T, K1=4.2x104Jm-3,,