A cryogenic experiment determining the dielectric susceptibility of the ferroelectric substance, strontium titanate, in the 90- to 300-K temperature range is described. Evidence is presented for a structural phase transition in strontium titanate at 110 K. The experiment is suitable for advanced students.

1.
B. A. Strukov and A. P. Levanyuk, Ferroelectric Phenomena in Crystals: Physical Foundations (Springer, Berlin, 1998).
2.
D.
Damjanovic
, “
Ferroelectric, dielectric and piezoelectric properties of ferroelectric thin films and ceramics
,”
Rep. Prog. Phys.
61
,
1267
1324
(
1998
).
3.
A.
Safari
and
A.
Meitzler
, “
Introduction to the special issue on applications of ferroelectricity
,”
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
47
,
782
783
(
2000
).
4.
H. L.
Pray
, “
Dielectric measurements for thin films
,”
Am. J. Phys.
47
,
284
285
(
1979
).
5.
S. H.
Morgan
,
E.
Silberman
, and
J. M.
Springer
, “
Laboratory experiment on the measurement of pyroelectric coefficients
,”
Am. J. Phys.
52
,
542
545
(
1984
).
6.
H.
Ofer
and
H. J.
Jodl
, “
Experiments on electro-optic effects with a ceramic dielectric
,”
Am. J. Phys.
54
,
625
631
(
1986
).
7.
E. K. H.
Salje
,
M. C.
Gallardo
,
J.
Jiménez
,
F. J.
Romero
, and
J.
Del Cerro
, “
The cubic-tetragonal phase transition in strontium titanate: Excess specific heat measurements and evidence for a near-critical, mean field type transition mechanism
,”
J. Phys.: Condens. Matter
10
,
5535
5543
(
1998
).
8.
D. E.
Grupp
and
A. M.
Goldman
, “
Giant piezoelectric effect in strontium titanate at cryogenic temperatures
,”
Science
276
,
392
394
(
1997
).
9.
F. J. Owens and C. P. Poole, The New Superconductors (Plenum, New York, 1996).
10.
K. A.
Müller
and
R.
Burkard
, “
SrTiO3: An intrinsic quantum paraelectric below 4 K
,”
Phys. Rev. B
19
,
3593
3602
(
1979
).
11.
H.
Unoki
and
T.
Sakudo
, “
Electron spin resonance of Fe3+ in SrTiO3 with special reference to the 110 K phase transition
,”
J. Phys. Soc. Jpn.
23
,
546
552
(
1967
).
12.
C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1986), 6th ed.
13.
G.
Shirane
and
Y.
Yamada
, “
Lattice-dynamical study of the 110 K phase transition in SrTiO3,
Phys. Rev.
177
,
858
863
(
1969
).
14.
T.
Riste
,
E. J.
Samuelson
,
K.
Otnes
, and
R.
Feder
, “
Critical behaviour of SrTiO3 near the 105 K phase transition
,”
Solid State Commun.
9
,
1455
1458
(
1971
).
15.
S. R.
Andrews
, “
X-ray scattering study of the R-point instability in SrTiO3,
J. Phys. C
19
,
3721
3743
(
1986
).
16.
T. M.
Sanders
Jr.
, “
On the sign of static susceptibility
,”
Am. J. Phys.
56
,
448
451
(
1988
).
17.
R. C.
Neville
,
B.
Hoeneisen
, and
C. A.
Mead
, “
Permittivity of Strontium Titanate
,”
J. Appl. Phys.
43
,
2124
2131
(
1972
).
18.
Obtained from Crystal GmbH, Berlin, http://www.crystal-gmbh.com.
19.
B. S.
Perkalskis
and
J. R.
Freeman
, “
Examining tensors in the lab: The dielectric permittivity and electrical resistivity of wood
,”
Am. J. Phys.
66
,
816
820
(
1997
).
20.
A. J. Marlso and J. M. Herbert, Electroceramics (Chapman and Hall, London, 1993).
21.
M.
Trainer
, “
Measurement of the capacitance-low temperature performance curve of a ceramic capacitor
,”
Cryogenics
39
,
887
889
(
1999
).
22.
D.
Lacey
,
J. C.
Gallop
, and
L. E.
Davis
, “
The effects of an air gap on the measurement of the dielectric constant of SrTiO3 at cryogenic temperatures
,”
Meas. Sci. Technol.
9
,
536
539
(
1998
).
23.
R.
Viana
,
P.
Lunkenheimer
,
J.
Hemberger
,
R.
Böhmer
, and
A.
Loidl
, “
Dielectric spectroscopy in SrTiO3,
Phys. Rev. B
50
,
601
604
(
1994
).
24.
J.
Dec
,
W.
Kleemann
, and
B.
Westwanski
, “
Scaling behaviour of strontium titanate
,”
J. Phys.: Condens. Matter
11
,
L379
L384
(
1999
).
25.
O. G.
Vendik
,
L. T.
Ter-Martirosyan
, and
S. P.
Zubko
, “
Microwave losses in incipient ferroelectrics as functions of the temperature and the biasing field
,”
J. Appl. Phys.
84
,
993
998
(
1998
).
26.
R. A.
van der Berg
,
P. W. M.
Blom
,
J. F. M.
Cillessen
, and
R. M.
Wolf
, “
Field dependent permittivity in metal-semiconducting SrTiO3 Schottky diodes
,”
Appl. Phys. Lett.
66
,
697
699
(
1995
).
27.
J.
Hemberger
,
M.
Nicklas
,
R.
Viana
,
P.
Lunkenheimart
,
A.
Loidl
, and
R.
Böhmer
, “
Quantum paraelectric and induced ferroelectric states in SrTiO3,
J. Phys.: Condens. Matter
8
,
4673
4690
(
1996
).
28.
G.
Ruprecht
and
R. O.
Bell
, “
Dielectric constant in paraelectric perovskites
,”
Phys. Rev. A
135
,
A748
A752
(
1964
).
29.
C. N. R. Rao and K. J. Rao, Phase Transitions in Solids (McGraw–Hill, New York, 1978), pp. 214–223.
30.
J.
Dec
and
W.
Kleeman
, “
From Barrett to Generalized Quantum Curie–Weiss law
,”
Solid State Commun.
106
,
695
699
(
1998
).
31.
J.
Hemberger
,
P.
Lunkenheimer
,
R.
Viana
,
R.
Böhmer
, and
A.
Loidl
, “
Electric-field-dependent dielectric constant and nonlinear susceptibility in SrTiO3,
Phys. Rev. B
52
,
13159
13162
(
1995
).
32.
D. G.
Fisher
and
W. T.
Franz
, “
Undergraduate laboratory demonstration of aspects of phase transitions using Curie temperature determination in amorphous ferromagnetic materials
,”
Am. J. Phys.
63
,
248
251
(
1995
).
33.
O.
Mata-Mendez
, “
Unified presentation of magnetic and dielectric materials
,”
Am. J. Phys.
60
,
917
919
(
1992
).
34.
D.
Ricinschi
,
V.
Tura
,
L.
Mitoseriu
, and
M.
Okuyama
, “
Landau theory-based analysis of grain-size dependence of ferroelectric-to-paraelectric phase transition and its thermal hysteresis in barium titanate ceramics
,”
J. Phys.: Condens. Matter
11
,
1601
1613
(
1999
).
35.
A. A.
Berezin
, “
Simple electrostatic model of the structural phase transition
,”
Am. J. Phys.
54
,
403
405
(
1986
).
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