Journal of the European Ceramic Society 26 (2006) 1845–1851
Low-temperature microwave and THz dielectric response
in novel microwave ceramics
S. Kamba
a,∗
, D. Noujni
a
, A. Pashkin
a
, J. Petzelt
a
, R.C. Pullar
b
,
A.-K. Axelsson
b
, N. McN Alford
b
a
Institute of Physics, ASCR, Na Slovance 2, 182 21 Prague 8, Czech Republic
b
London South Bank University, 103 Borough Road, London SE1 0AA, UK
Available online 19 October 2005
Abstract
Low-temperature dielectric properties of BaZn
1/3
Nb
2/3
O
3
-based ceramics, CeO
2
-based ceramics and Ruddlesden–Popper Sr
n+1
Ti
n
O
3n+1
(n = 1–4)
ceramics has been studied in microwave, THz and infrared frequency range down to 10K. Extrinsic dielectric losses originating probably from
diffusion of charged defects are observed in two families of compounds by a minimum in the temperature dependence of microwave quality Q.
The rise of microwave permittivity and dielectric losses at low temperatures in Sr
n+1
Ti
n
O
3n+1
(n = 2–4) ceramics was explained by softening of an
optical polar mode in SrTiO
3
, which is in the Sr
n+1
Ti
n
O
3n+1
(n = 3, 4) ceramics contained as a second phase.
© 2005 Elsevier Ltd. All rights reserved.
Keywords: Dielectric properties; Spectroscopy; Perovskites; Microwave ceramics
1. Introduction
Modern communication systems have moved to the
microwave (MW) frequency region, where advanced dielectric
ceramics are frequently used in resonators and filters. Miniatur-
ization requires high relative permittivity (ε
′
) materials (since
the size of resonators is inversely proportional to
√
ε
′
) with a
small or zero temperature coefficient of resonance frequency
τ
f
(|τ
f
| < 10 ppm K
-1
). Furthermore, ceramics with low dielec-
tric loss ε
′′
(often described in terms of high dielectric quality,
Q = ε
′
/ε
′′
) are needed for the high selectivity and optimized
bandwidth of the filters. Within the last 20 years many new
suitable ceramics with high ε
′
and low τ
f
were described. How-
ever, it was shown that although the two former parameters
are not very dependent on the method of sample preparation,
the quality Q is extremely sensitive on conditions of sample
preparation. It is not rare that in some cases the Q value varies
within 2 orders of magnitude depending on sintering tempera-
ture, cooling rate, atmosphere of annealing, etc. Technologists
spent much time with improvement of sample processing to
obtain losses as low as possible (highest Q), but the methods
∗
Corresponding author. Tel.: +420 2 6605 2957; fax: +420 2 8689 0527.
E-mail address: kamba@fzu.cz (S. Kamba).
used were purely empirical, without knowing the lowest limit
of the losses (intrinsic losses) with an origin in multi-phonon
absorption.
Almost 20 years ago, Wakino et al.
1,2
proposed infrared (IR)
reflectivity spectroscopy as a tool for investigating the intrin-
sic MW dielectric properties of dielectric resonators. It is well
known that the main infrared dispersion of the permittivity is
given by the sum of polar phonon contributions
ε
∗
(ω) = ε
′
(ω) - iω
′′
(ω) =
n
j=1
ε
j
ω
2
j
ω
2
j
- ω
2
+ iωγ
j
+ ε
∞
(1)
where ω
j
and γ
j
are the frequency and damping of the jth polar
phonon, respectively; ε
j
denotes the mode contribution to the
static permittivity ε
′
(0) and ε
∞
denotes the electronic part of
the permittivity. We note that this formula is as a rule valid
in dielectrics with ε
′
(0) ≤ 100. In higher permittivity materials
(e.g. ferroelectrics) an additional dispersion occurs below polar
phonon frequencies, in the simplest case modelled by a Debye
relaxation ε
r
ω
r
/(ω
r
+iω)(ε
r
and ω
r
are the dielectric strength
and relaxation frequency, respectively), which should be added
into Eq. (1).
Wakino et al.
1,2
mentioned that extrapolation of Eq. (1) from
IR down to MW range, i.e. 2–3 orders of magnitude below ω
j
’s
0955-2219/$ – see front matter © 2005 Elsevier Ltd. All rights reserved.
doi:10.1016/j.jeurceramsoc.2005.09.010