The intrinsic dielectric frequency dependent spectrum of single domain barium titanate (BaTiO3) at room temperature is investigated by considering the vibration of phonons and the conductivity of the tetragonal system in a wide frequency range up to THz. The proposed model combines Debye type of dissipation, soft mode theory, and the influence of conductivity on the dielectric loss to obtain a more precise dielectric frequency spectrum. The calculated results were compared with experimental data on single domain nanocrystals of BaTiO3, both free standing and suspended in a low dielectric medium. The comparisons provide insight into the mechanism for the dielectric behavior, which can be extended to apply to a range of composites that comprise single domain dielectrics embedded in continuous media. At the lower frequency range, conductivity plays a dominant role in the contribution to the dielectric loss along both a- and c-axes, while the phonon vibration controls the dielectric behavior of the system at higher frequency range. When the conductivity of the system increases, the dielectric loss increases below the MHz range, with such an effect diminishing when the frequency reaches the GHz regime.

1.
L. M.
Huang
,
J.
Zhang
,
L.
Kymissis
, and
S.
O’Brien
,
Adv. Funct. Mater.
20
,
554
(
2010
).
2.
K. J.
Choi
,
M.
Biegalski
,
Y. L.
Li
,
A.
Sharan
 et al.,
Science
306
,
1005
(
2004
).
3.
J.
Shin
,
A.
Goyal
,
S.
Jesse
, and
D. H.
Kim
,
Appl. Phys. Lett.
94
,
252903
(
2009
).
4.
H. I.
Hsiang
and
F. S.
Yen
,
J. Am. Ceram. Soc.
79
(
4
),
1063
(
1996
).
5.
T.
Tsurumi
,
T.
Hoshina
,
H.
Takeda
,
Y.
Mizuno
, and
H.
Chazono
,
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
56
,
1513
(
2009
).
6.
J.
Petzelt
,
Ferroelectrics
375
,
156
(
2008
).
7.
A.
Scalabrin
,
A. S.
Chaves
,
D. S.
Shim
, and
S. P. S.
Porto
,
Phys. Status Solidi B
79
,
731
(
1977
).
8.
J. A.
Sanjurjo
,
R. S.
Katiyar
, and
S. P. S.
Porto
,
Phys. Rev. B
22
,
2396
(
1980
).
9.
F.
Wan
,
J. G.
Han
, and
Z. Y.
Zhu
,
Phys. Lett. A
372
,
2137
(
2008
).
10.
M.
Zgonik
,
P.
Bernasconi
,
M.
Duelli
,
R.
Schlesser
, and
P.
Günter
,
Phys. Rev. B
50
,
5941
(
1994
).
11.
B.
Ravel
,
E. A.
Stern
,
R. I.
Vedrinski
, and
V.
Kraizman
,
Ferroelectrics
206–207
,
407
(
1998
).
12.
R.
Comes
,
M.
Lambert
, and
A.
Guinier
,
Solid State Commun.
6
,
715
(
1968
).
13.
B.
Zalar
,
V. V.
Laguta
, and
R.
Blinc
,
Phys. Rev. Lett.
90
,
037601
(
2003
).
14.
E. G.
Maksimov
,
N. L.
Matsko
,
S. V.
Ebert
, and
M. V.
Magnitskaya
,
Ferroelectrics
354
,
131
(
2007
).
15.
J.
Hlinka
,
T.
Ostapchuk
 et al.,
Phys. Rev. Lett.
101
,
167402
(
2008
).
16.
A.
Bussmann-Holder
,
H.
Beige
, and
G.
Völkel
,
Phys. Rev. B
79
,
184111
(
2009
).
17.
H. Y.
Deng
,
C. H.
Lam
, and
H. T.
Huang
,
Solid State Commun.
151
,
474
(
2011
).
18.
E.
Buixaderas
,
S.
Kamba
, and
J.
Petzelt
,
Ferroelectrics
308
,
131
(
2004
).
19.
I.
Ponomareva
,
L.
Bellaiche
,
T.
Ostapchuk
,
J.
Hlinka
, and
J.
Petzelt
,
Phys. Rev. B
77
,
012102
(
2008
).
20.
K. C.
Kao
,
Dielectric Phenomena in Solids
(
Elsevier
,
Amsterdam
,
2004
), p.
41
.
21.
H. I.
Yoo
,
C. R.
Song
, and
D. K.
Lee
,
J. Eur. Ceram. Soc.
24
,
1259
(
2004
).
22.
P.
Li
and
T. M.
Lu
,
Phys. Rev. B
43
,
14261
(
1991
).
23.
C. N.
Berglund
and
W. S.
Baer
,
Phys. Rev.
157
,
358
(
1967
).
24.
C.
León
,
A.
Rivera
,
A.
Várez
,
J.
Sanz
, and
J.
Santamaria
,
Phys. Rev. Lett.
86
,
1279
(
2001
).
25.
A. S.
Nowick
and
B. S.
Lim
,
Phys. Rev. B
63
,
184115
(
2001
).
26.
F. D.
Morrison
,
P.
Zubko
,
D. J.
Jung
, and
J. F.
Scott
,
Appl. Phys. Lett.
86
,
152903
(
2005
).
27.
J.
Robertson
and
B. R.
Varlow
, in 2004 IEEE International Conference on Solid Dielectrics,
Toulouse
,
France
,
2004
.
28.
P.
Erhart
and
K.
Albe
,
J. Appl. Phys.
104
,
044315
(
2008
).
29.
D. K.
Mahato
,
A.
Dutta
, and
T. P.
Sinha
,
Physica B
406
,
2703
(
2011
).
30.
H. T.
Zhang
,
X. Y.
Deng
,
T.
Li
 et al.,
Appl. Phys. Lett.
97
,
162913
(
2010
).
31.
C. V.
Chanmal
and
J. P.
Jog
,
Express Polym. Lett.
2
,
294
(
2008
).
32.
T.
Hanemann
,
H.
Gesswein
, and
B.
Shumacher
,
Microsyst. Technol.
17
,
195
(
2011
).
33.
C. K.
Wang
and
F. G.
Shin
,
J. Mater. Sci.
41
,
229
(
2006
).
34.
M.
Didomenico
,
S. H.
Wemple
, and
S. P. S.
Porto
,
Phys. Rev.
174
,
522
(
1968
).
35.
36.
37.
38.
Y.
Girshberg
and
Y.
Yacoby
,
Solid State Commun.
103
,
425
(
1997
).
39.
A. D.
Bruce
and
R. A.
Cowley
,
Structural Phase Transitions
(
Taylor and Francis
,
London
,
1981
).
40.
J.
Hlinka
,
J.
Petzelt
 et al.,
Phase Transitions
79
,
41
(
2006
).
41.
R. A.
Cowley
,
G. J.
Coombs
 et al.,
J. Phys. C
4
,
L203
(
1971
).
42.
Y.
Luspin
,
J. L.
Servoin
, and
F.
Gervais
,
J. Phys. C
13
,
3761
(
1980
).
43.
O.
Nakao
,
K.
Tomomatsu
 et al.,
Appl. Phys. Lett.
61
(
14
),
1730
(
1992
).
44.
J. L.
Servoin
,
F.
Gervais
,
A. M.
Quittet
 et al.,
Phys. Rev. B
21
,
2038
(
1980
).
45.
T.
Kolodiazhnyi
,
Phys. Rev. B
78
,
045107
(
2008
).
46.
N. H.
Chan
,
R. K.
Sharma
, and
D. M.
Smyth
,
J. Am. Ceram. Soc.
64
,
556
(
1981
).
47.
N. H.
Chan
,
R. K.
Sharma
, and
D. M.
Smyth
,
J. Am. Ceram. Soc.
65
,
167
(
1982
).
48.
L.
Pintilie
and
M.
Alexe
,
J. Appl. Phys.
98
,
123103
(
2005
).
49.
A.
Petraru
,
N. A.
Pertsev
,
H.
Kohlstedt
,
U.
Poppe
,
R.
Waser
,
A.
Solbach
, and
U.
Klemradt
,
J. Appl. Phys.
101
,
114106
(
2007
).
50.
M. O.
Jong
and
M. N.
Song
,
Thin Solid Films
518
,
6531
(
2010
).
51.
J.
Rybickiy
,
A.
Rybickay
,
S.
Feliziani
, and
M.
Chybicki
,
J. Phys.: Condens. Matter
8
,
2089
(
1996
).
52.
M. A.
Angadi
and
S. M.
Shivaprasad
,
J. Mater. Sci. Lett.
5
,
405
(
1986
).
53.
H. I.
Yoo
,
M. W.
Chang
,
T. S.
Oh
,
C. E.
Lee
, and
K. D.
Becker
,
J. Appl. Phys.
102
,
093701
(
2007
).
54.
S. J.
Lee
,
K. Y.
Kang
, and
S. K.
Han
,
Appl. Phys. Lett.
75
,
1784
(
1999
).
55.
J.
O’M. Bockris
and
A. K. N.
Reddy
,
Modern Electrochemistry
(
Plenum
,
New York
,
1998
).
56.
Y.
Watanabe
,
M.
Yamato
,
Y.
Urakami
, and
D.
Matsumoto
,
Ferroelectrics
348
,
113
(
2007
).
57.
L. X.
Zhang
and
X. B.
Ren
,
Phys. Rev. B
73
,
094121
(
2006
).
58.
M. M.
Ahmad
,
K.
Yamada
,
P.
Meuffels
, and
R.
Waser
,
Appl. Phys. Lett.
90
,
112902
(
2007
).
59.
N.
Jayasundere
and
B. V.
Smith
,
J. Appl. Phys.
73
,
2462
(
1993
).
You do not currently have access to this content.