TGS(Tri-glycine sulfate, TGS)

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1 E s s E D-E FerromagnetisFerroeletris (polar) + T Curie-Weiss sµc/m NaKC 4 H 4 O 6-4H O,RSRS Goettingen( Valasek19 ) KH O 4 Bush, Sherrer,1935 KH O 4 Slater(1941) BaTiO 3 Wul, Wainer, Ogawa,1943 BaTiO 3 Devonshire,1949 bzro 3 Shirane, Sawaguhi, Takagi,1951 Kittel,1951 (Cohran, 1959) (Blin, 196) 1

2 (Smolensky, ) 1( ), (Muller, 1979) 3 TGS(Tri-glyine sulfate, (CH NH COOH) 3 H SO 4 )) 1 1 /mt=49 SO4 CHNHCOO s(t T) 1/

3 1 ε = C ( T T ) 1 C ε = ( T T ) BaTiO3 a. ABO 3 3

4 b. (d) () (b) (a). 4

5 d. e. f. BaTiO3 () () ε 1 ε 1 ε 1 5

6 () Landau Landau Landau F R ηη G Rη=η* /m TGS /m 6

7 a /m(a) (b) (b) /m /m 1 m -1 z +z +z -z -z x +x -x x -x y +y -y y -y z z z z z F 4 4 = α + β T>T T=T T>TT α = α T T ) ( 1 1 F α ( T T ) β 4 4 = + T 7

8 E T T F 3 = α ( ) + β = α ( T T ) + 3β > s = α =± β s T T s = T> α =± β T s T T χ εχ= E 1 1 = ( ) F α T T β E F 8

9 E T T 3 = α ( ) + β E ( ε χ) = = α ( T T ) + 3β 1 1 ( εχ) = α( T T ) 1 ( εχ ) = α( T T) T> T T> C ε = ε + T T C Curie onstant S = F T X,E, = T S T X,E 9

10 F = U TS Xx E du = d ' Q + d ' W dw ' = Xdx + Ed dq ' = TdS du = TdS + Xdx + Ed du = SdT xdx de F F F S =, x=, = T X E X, E T, E T, X 1

11 1 1 1 F T T = α( ) + β + δ E F = = ( ) T T E α β δ S = β 4δα = 1± 1 ( T T ) δ β S 1/ F > 1 E = = + + εχ 3 4 ( T T ) 3 5 α β δ T,T,T1 T β = T +, 4α δ 1 ( T ) S 3 T = β ( 4 δ S T1 ) 3β = T + 16α δ β = S ( T ) δ β = δ 11

12 T = T T = T T = T 1 1 χ = β χ 16 δ + = 1 1 β χ 4 δ + = 1 β χ = δ 1 3 β χ = 4 δ 1 χ = s BaTiO3Devonshire A.F.Devonshire: hil.mag.4(1949)14, 4(1951)165. (d) ( ) (b) (a) s//[111] s//[11] s//[1] s= ://[1]//[11]//[111] (1,,3) 1

13 FsFeF F = Fs + Fe + F i(i=1) xj(=1) F s = 1 α( )+ 1 4 β * 1( )+ 1 β * 1( ) +{6order terms} F e = 1 11 (x 1 +x + x 3 )+ 1 (x 1 x +x x 3 + x 3 x 1 ) (x 4 +x 5 + x 6 ) F = q 11 (x 1 1 +x + x 3 3 )+q 1 {x 1 ( + 3 )+x ( )) + x 3 ( 1 + )} + q 44 (x x x 6 1 ) X j == F x j 11 x (x +x 3 )+q q 1 ( + 3 )= x + 1 (x 3 +x 1 )+q 11 + q 1 ( )= 33 x (x 1 +x )+q q 1 ( 1 + )= x 4 + q 44 3 = x 5 + q = x 6 + q 44 1 = xj x 1 = Q Q 1 ( + 3 ) x = Q 11 + Q 1 ( ) x 3 = Q Q 1 ( 1 + ) x 4 = Q 44 3 x 5 = Q x 6 = Q

14 Q 11 = q 11( )+q 1 1 ( 11 1 )( ) q Q 1 = 11 1 q 1 11 ( 11 1 )( ) Q 44 = q F = 1 α( )+ 1 4 β 1( )+ 1 β ( ) δ( ) β 1 = β * 1 + q 11 ( )+4q 11 q 1 1 q 1 11 ( 11 1 )( ) β = β * + q 11 1 q 11 q q 1 ( ( 11 1 )( ) ) q F i = (i=1,,3) α 1 + β β 1 ( + 3 )+ δ 1 5 = α + β β ( )+ δ 5 = α 3 + β β 3 ( 1 + )+ δ 3 5 = 14

15 1 =,or α + β β ( + 3 )+ δ 1 4 = =,or α + β 1 + β ( )+ δ 4 = 3 =,or α + β β ( 1 + )+ δ 3 4 = BaTiO3 1 = = 3 = 1 = =, α + β δ 4 3 = 1 =, = 3, α +(β 1 + β ) 3 + δ 4 3 = 1 = = 3, α +(β 1 +β ) 3 + δ 4 3 = F = F T = 1 α β δ 6 3 F O = α (β β ) δ 6 3 F R = 3 α 3 + 3(β 4 1 +β ) δ 6 3 BaTiO3 F = 1 α (T T ) β γ4 βββ 15

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