X. Liu et al. / Journal of Alloys and Compounds 492 (2010) 433–438
437
But in order to have the largest negative free energy change in a
short time, the rate of free energy change becomes more impor-
rate of free energy change may depend on the morphology and
microstructure of the product phase. For example, the scallop-type
IMC had a high growth rate at the interface of Sn–Ag–Cu/Cu [24].
As shown in Figs. 2 and 4, the morphologies of the Cu6Sn5 change
obviously.
The average sizes of the Ag3Sn particles on the surface of the
-Cu6Sn5 were the same when soldering from 30 s to 1800 s at a
certain temperature. The effects of soldering time and tempera-
ture on the average sizes of Ag3Sn particles are quite intricate. The
is caused by a number of factors. First, it has been found that the
presence and the disappearance of the MRO structures in molten
metals were a function of temperature and was corresponded to
the tendency towards chemical compound formation [25]. If IMCs
were formed in the alloy, the distribution of the atoms was not ran-
dom in microstructure in liquid state. The IMC structure in liquid
state can be kept in the solid state if the liquid temperature has
not exceeded the melting temperature too much. When soldering
at 250 ◦C, the soldering temperature is only 33 ◦C above the melt-
ing temperature and the affinity between Sn and Ag is higher. The
ordered groups are more dominant. This explains why soldering
at a fixed temperature, the size of adsorbed Ag3Sn particles are the
same. However, when the soldering temperature is 300 ◦C, which is
83 ◦Cabove the melting temperature, Ag3Sn structure in liquid state
is liberated and ordered Ag3Sn groups are less prevalent. Thus, the
sizes of adsorbed Ag3Sn particles are smaller than those at 250 ◦C.
Secondly, the size of the Cu6Sn5 IMCs plays an important role in
adsorbing the Ag3Sn particles. The bigger the Cu6Sn5 IMC, the larger
the interfacial energy. So in order to decrease the surface energy of
the compound, more Ag3Sn particles are to be adsorbed on the sur-
the same substrate is nearly the same with the different soldering
time, the Ag3Sn phase will have the same size. This reason explains
From Fig. 2(E) and (F) and Fig. 4(E) and (F), it can be seen that the
Ag3Sn particles arranged in lines in the same plane and the arrange-
ment of Ag3Sn particles ordered two perpendicular orientations.
This phenomenon is difficult to explain. Zou et al. [26] has reported
the regular Ag3Sn compounds with parallel edges formed between
molten Sn and (0 0 1) Ag single crystals went along two perpen-
dicular directions. Moreover the three-dimensional morphology of
Ag3Sn compounds in solder matrix still has the same phenomenon
[5]. In the present study, the arrangement of Ag3Sn nano-particles
may have the relationship with the Ag3Sn compounds in solder
matrix. They gather with the same growth orientation of Ag3Sn
compounds in liquid solder and are “captured” by IMCs during
cooling process.
Fig. 7. SEM top view images of Cu6Sn5 compounds and Ag3Sn nano-particles on
(0 0 1) Cu single crystal substrate.
not only short-range order (SRO) structure but also medium-range
order (MRO) in the liquid metal under certain condition. Because
the higher affinity between Sn and Ag as well as the lower tem-
perature there maybe not only SRO Ag3Sn groups but also MRO
Ag3Sn groups in the liquid solder, Ag atoms first react with Sn to
form Ag3Sn phase in liquid solder. During solidification process,
the Ag3Sn phase precipitate near the IMCs and are likely to be
“captured” by the IMCs.
The interface free energy of crystal G can be given by:
G = ꢀA
(1)
where ꢀ is the surface energy and equals to the surface tension
in numerical value; A is the surface area of the grain or the plane.
Due to the same surface tensions between Cu6Sn5 grains and liq-
uid solder for these joints, based on Eq. (1), the larger Cu6Sn5 grains
have higher interface free energies. So it is easy to absorb the Ag3Sn
nano-particles on the large and smooth Cu6Sn5 grains. The adsorp-
tion will decrease the surface energy of the Cu6Sn5 compounds and
retard the growth of the whole IMC layer [14].
The Gibbs absorption equation is expressed as [21]:
ꢀ
ꢁ
x
dꢀ
ꢁ = −
(2)
RT dx
T
where ꢁ is the differential concentration at unit interface between
the solute at surface and that inside the adjacent solution; x is the
gram-atom fraction; R is the general gas constant; T is the abso-
lute temperature and (dꢀ/dx)T gives the change of surface tension
with the concentration at a given temperature. If the solute reduces
face will be much higher than that inside the solution. In other
words, adsorption at the interface is likely to occur at this condi-
tion. It is well known that the larger the surface tension is, the faster
the plane grow and the more the amount of surface-active mate-
rials adsorb [22]. The Ag3Sn nano-particles play the role of surface
energy reducer for the growth of interfacial Cu6Sn5 grains during
the solidification.
5. Conclusions
The formation of Ag3Sn nano-particles and the theory of surface-
active material adsorption are used to explain the effect of the
surface energy decreasing of IMCs [14]. Although it is quite difficult
to calculate the interfacial energy, it is obvious that the adsorption
will decrease the surface energy of the compounds. Furthermore,
it is no doubt that the existence of them would restrain the growth
of the whole IMCs layer during aging process.
The morphologies of the Cu6Sn5 IMCs at different soldering
temperature are distinct from each other. The interfacial reac-
tions forming IMC layers are governed by release of free energy.
The reactions between Sn–3Ag–0.5Cu/polycrystalline or (0 0 1)
single crystal Cu substrate at 250 ◦C and 300 ◦C were investigated
in the present study. Adsorption of Ag3Sn particles was found
on the Cu6Sn5 IMCs surface during the reflowing process. The
results showed that the morphologies of the Cu6Sn5 IMCs were
changed with different soldering temperature and time. The sizes
of adsorbed Ag3Sn nano-particles were almost the same with the
different soldering durations, but the particles were smaller at high
temperature (300 ◦C) than those at low temperature (250 ◦C), and
they were also smaller when specimen were cooled in water com-