Journal of Alloys and Compounds 394 (2005) 63–68
Electronic properties and viscosity of liquid Pb–Sn alloys
Yu. Plevachuk
a, ∗
, V. Sklyarchuk
a
, A. Yakymovych
a
, B. Willers
b
, S. Eckert
b
a
Ivan Franko National University, Faculty of Physics, 8 Kyrylo and Mefodij Street, 79005 Lviv, Ukraine
b
Forschungszentrum Rossendorf, P.O. Box 510119, 01314 Dresden, Germany
Received 13 October 2004; accepted 27 October 2004
Available online 19 December 2004
Abstract
Electrical conductivity, thermopower and viscosity of liquid Pb–Sn alloys are investigated in a wide temperature range. The revealed
discrepancies between heating and cooling curves of temperature dependencies of some electrophysical and structural-sensitive properties, as
well as a hysteresis observed in the course of heating–cooling cycles suggest a metastable microheterogeneous structure of the Pb–Sn melts.
© 2004 Elsevier B.V. All rights reserved.
PACS: 61.10.Eq; 61.25.Mv; 66.20
Keywords: Metals; Chemical synthesis; Electronic transport; Electron–electron interactions
1. Introduction
A number of studies dedicated to eutectic and near-
eutectic alloys revealed that the behavior and properties of
these systems are ambiguous and contradictory [1,2]. Dif-
ferent models based on a statistical distribution of atoms
in the melt or on a quasi-eutectical model, which was not
identified with a crystalline eutectic but regarded in a dy-
namic sense, have been developed (see [1] and references
therein). It should be noted that from a structural stand-
point the concept of “quasi-eutectic” is not at variance with
current ideas about the fluctuation origin of the concentra-
tion irregularity. Eutectic melts can be described as consist-
ing of microregions with fuzzy edges whose atomic con-
centration is close to those of the solid solutions compos-
ing the eutectic. Concentration heterogeneities represent the
melt areas of hundreds or even thousands of Angstroems en-
riched by mainly one component. Nevertheless, this special
structure of the liquid state is reflected on the temperature–
concentration phase diagrams. Continuous mass exchange
between these microregions takes place. Because of differ-
ent approaches for the interpretation of diffractometer data,
direct structural studies do not reflect completely the micro-
∗
Corresponding author. Tel.: +380 322 964594; fax: +380 322 631565.
E-mail address: plevachuk@mail.lviv.ua (Yu. Plevachuk).
heterogeneous structure of eutectic melts. Results for a quan-
titative assessment of structure investigations suggest either
a quasi-eutectic (statistical) or an intermediate atom distribu-
tion.
More reliable information about the structural heterogene-
ity of the melt can be obtained from studies of the electro-
physical and structure-sensitive properties. Among different
eutectics lead-tin alloys have considerable potential for ad-
vanced structural and electronic applications. The intensive
interest in these solder alloys is attributed to their low cost
and unique material properties including the high superplas-
tic properties, low melting temperature, wettability, and good
electrical conductivity [2]. However, different limitations to
practical applications like the strain hardening or the exces-
sive growth of intermetallic phases at the solder-substrate
joint interfaces remain, and the understanding of the mi-
crostructure of these alloys is still the subject of recent works
[3–5]. The density investigations of the Pb–Sn eutectic by
a gamma-ray absorption method revealed anomalies on the
density polytherms, which were explained as transition of
the quasi-eutectic melt to the micro-homogeneous state [6,7].
According to the new density and diffraction measurements
irreversible structural changes occur in the eutectic Pb–Sn
melt as a function of temperature [8]. Taking into account re-
cent results reported for other eutectics [9], suggesting differ-
ent temperature dependencies of physical properties during
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doi:10.1016/j.jallcom.2004.10.051