Electrochimica Acta 51 (2006) 1831–1841
Impedance spectroscopy to characterize the pore structure during the
hardening process of Portland cement paste
M. Cabeza
a
, M. Keddam
b
, X.R. N ´ ovoa
a,∗,1
, I. S´ anchez
a
, H. Takenouti
b
a
Universidade de Vigo, E.T.S.E.I., Campus Universitario, 36310 Vigo, Spain
b
UPR15 CNRS, L.I.S.E., Universit´ e Pierre et Marie Curie, 75252 Paris Cedex 05, France
Received 23 June 2004; received in revised form 16 November 2004; accepted 8 February 2005
Available online 25 August 2005
Abstract
The relationship between the pore structure and the dielectric properties of cement paste is studied in this work. Dielectric properties
clearly reflect the pore structure development and the degree of pore occupancy by electrolyte. Impedance spectroscopy (IS) measurements
in the high frequency range (10 kHz–15MHz) have been performed in samples with varying pore occupancy. For cement pastes with a
fully developed pore structure (curing time >28 days), when all pore families are filled with electrolyte, the main characteristic factor is the
asymmetry observed in Cole–Cole plots, whereas as these samples are dried off or the pore structure is not fully developed (curing time <15
days), the asymmetrical dispersion decreases and the symmetrical dispersion becomes more important. The relationship between Cole–Cole
plots dispersions and pore size distribution in samples is shown by performing bi-dimensional simulations.
© 2005 Elsevier Ltd. All rights reserved.
Keywords: Cement paste; Impedance spectroscopy; Electrical properties; Microstructure; Time constant dispersion
1. Introduction
Impedance spectroscopy measurements performed on
concrete are of great importance due to the possibility of
correlating the dielectric properties and the microstructure of
the system [1,2].
In a first stage of these studies, the presence of only one
time constant in the high frequency loop was put forward,
and the high values obtained for the dielectric constant were
explained in terms of the dielectric amplification factor [3].
Some recent works on this field have demonstrated the
existence of two time constants in the high frequency domain
(10 kHz–15 MHz) [4–7]. The capacitance associated to one
of these time constants correlates well with the fraction of
solid phase in the cement paste [6–8], while the other one has
been associated to some contribution of the electrolyte filling
the pores [5,9].
∗
Corresponding author. Tel.: +34 986 81 22 13; fax: +34 986 81 22 01.
E-mail address: rnovoa@uvigo.es (X.R. N´ ovoa).
1
ISE member.
The model proposed in a previous work [6] for the
interpretation of the impedance spectra obtained in a
“blocking” configuration corresponds to the Debye type
depicted in Fig. 1. The capacitance C
1
accounts for the
solid phase contribution while C
2
and the resistance
R
2
are parameters associated to the liquid phase filling
pores.
While the relationship between C
1
and the fraction of solid
phase is clear [6,8], the meaning of C
2
and R
2
, and the dis-
persion in the corresponding time constant, is not so clear at
present.
The parameters R
2
and C
2
have both a strong dependence
on the amount of water in the sample as well as on pore
structure. This aspect is illustrated in Fig. 2 (taken from Ref.
[6]) where it can be seen that the shape of the Cole–Cole
plot changes from symmetrical dispersion (Cole–Cole type,
Fig. 2A) to asymmetrical dispersion (Cole–Davidson type,
Fig. 2B) as the pore structure develops.
The present paper explores the effect of the pore occu-
pancy and the pore size and dispersion in the impedance
of the system. Those effects are evaluated in terms of
0013-4686/$ – see front matter © 2005 Elsevier Ltd. All rights reserved.
doi:10.1016/j.electacta.2005.02.125