Abstract
The interfacial reactions and growth kinetics of Sn-20Bi-0.7Cu-xAg (x=0.1, 0.4, 0.7, 1.0, 1.5, wt%) were investigated during solid-state aging. The effects of chemical composition on the structure and the growth of interface under high temperature and high humidity conditions were studied experimentally and numerically. In order to determine the long-term reliability of the solder joints, thermal accelerated aging tests were performed for 0, 10, 30, 50, 100, 200 and 500 h under 85 °C and 85% relative humidity conditions. The surface morphology, thickness, and distribution of interface compounds were observed by scanning electron microscope. The nucleation surface and growth direction of β-Sn were clarified. The phases were determined at the interface and the alloy matrix. Results show that with increasing the Ag content, the growth of the Cu6Sn5 layer is suppressed. The growth kinetics of intermetallic compound (Cu6Sn5+Cu3Sn) remains a diffusion-controlled process during the isothermal aging. The scallop-type Cu6Sn5 phase disappears at later aging stages, suggesting that the growth mechanism changes to the steady growth in the direction perpendicular to the interface. Besides, the results reveal that Ag3Sn effectively slows down the growth kinetics of Cu6Sn5.
Toxic Pb in Sn-Pb solder has swarmed into the waste streams of electronic industries in the past years, and restrictive regulations have been proposed to make extensive usage of a variety of lead-free solders possibl
Butrymowic
In this study, the microstructure and interface layers of Sn-20Bi-0.7Cu-xAg/Cu (x=0.1, 0.4, 0.7, 1.0, 1.5, wt%) were studied. The solder joints were controlled under the condition of high temperature and high humidity. The surface morphology, thickness, and distribution of compounds were observed by scanning electron microscope (SEM) and transmission electron microscope (TEM). Finally, the relevant thermodynamic and growth kinetic parameters were calculated. The present results demonstrate affecting mechanism of Ag content on interface layer growth. It can widen the application of Sn-20Bi-0.7Cu-xAg lead-free solders.
A certain amount of Sn spheres were weighed and heated in an intermediate frequency furnace. When the Sn sphere was completely melted, Bi, Sn-3Ag and Sn-10Cu (wt%) were added and stirred, and then kept at 240 °C for 2 h. The solder alloy solution was cast into a ingot at 25 °C. Solder joints were prepared using a MUST SYSTEM III instrument. First, the solder alloy liquid was heated to 240 °C. Second, the solder was welded to a copper plate. Finally, the solder joints were immersed in hydrochloric acid to remove the oxide film on the surface. The tests were carried out in a constant temper-ature and humidity box (ec-85mhhp-c) at 85 °C and 85% relative humidity (RH). Solder joint preparation and aging process are shown in

Fig.1 Solder joints preparation and aging process
The cooling solidification curves and phase composition diagrams are calculated by Thermo-Calc (2020a), as shown in

Fig.2 Cooling solidification curves (a, b) and phase composition diagrams (c, d
With the addition of Bi, the alloy solidifies and precipitates Sn-58Bi eutectics, which effectively reduce the melting point of the solder alloy, but the liquidus temperature is stable. At this time, the melting range increases, which will reduce the wettability of the solder alloy. The calculation result is consistent with the experimental result of Zhan

Fig.3 XRD patterns of Sn-20Bi-0.7Cu-xAg alloys
During reflow soldering, the solder melts, dissolves, and diffuses into the substrate. The gradient of the chemical potential between different materials leads to the interdiffusion of different atoms at the solder/substrate boundary. A local equilibrium allows IMCs (Cu6Sn5+Cu3Sn) to form at the solder/Cu substrate interface. At the solder/Cu substrate interface, Cu6Sn5 phase will be first generated, which will react with Cu to form Cu3Sn as the aging proceed
3Cu+Sn→Cu3Sn | (1) |
Cu6Sn5+9Cu→5Cu3Sn | (2) |
6Cu+5Sn→Cu6Sn5 | (3) |
However, when the supply of both Cu and Sn atoms is sufficient, the growth of IMCs in the solder joint depends on the activation energy required to form the particular IMC.

Fig.4 Bulk microstructure of Sn-20Bi-0.7Cu-1.0Ag aged at 85 °C for 200 h
The micro-cracks are generated in the Cu6Sn5 layer, and Bi atoms continue to diffuse into the Cu3Sn layer, which results in the formation of voids. During the growth of IMCs, the solubility of Bi in Cu3Sn is lower than that of Cu6Sn5, so Bi will precipitate, and Cu6Sn5 will be converted into Cu3Sn. After aging for 200 h, Cu6Sn5 and the solder layer form a Bi barrier layer. Besides, the Cu6Sn5 particles in the matrix continue to accumulate at the interface; however, the Bi layer hinders the annexation and growth of interface compounds. Therefore, the morphology of the interface layer is still scallop-type and not smooth.

Fig.5 SEM morphologies of Sn-20Bi-0.7Cu-1.0Ag/Cu bulk aged at 85 °C for 200 h (a), and EDS results of Sn-58Bi (b), β-Sn (c), Cu6Sn5 (d), and element detected (e)
SEM image and EDS result in

Fig.6 TEM micrograph of Sn-20Bi-0.7Cu-1.0Ag (a) and SAED patterns of Ag3Sn (b) and β-Sn (c) acquired from the aperture area in Fig.6a

Fig.7 Micro area district of Fig.6a by HRTEM
Based on Ref.[
x | (4) |
where x is the total thickness of both IMC layers at time teff, x0 is the as-soldered total thickness of the IMC layer, A is the growth constant, and n is the time exponent.
The growth of interfacial IMCs can be divided into three stage
According to the slope, n value can be obtained. The growth stage of IMC can be determined. After aging for 10 h, all of the n values are less than 0.5. It can be seen from
Soder | n | n | n |
---|---|---|---|
Sn-20Bi-0.7Cu-0.1Ag | 0.46 | 0.32 | 0.047 |
Sn-20Bi-0.7Cu-0.4Ag | 0.45 | 0.31 | 0.041 |
Sn-20Bi-0.7Cu-0.7Ag | 0.45 | 0.32 | 0.039 |
Sn-20Bi-0.7Cu-1.0Ag | 0.42 | 0.32 | 0.041 |
Sn-20Bi-0.7Cu-1.5Ag | 0.49 | 0.33 | 0.044 |
The relative ratio of Cu and Sn diffusivities in Cu3Sn determines whether
The reduction of the intermetallic growth rate decreases the rate of joint degradation and increases the durability. The observed obedience to the parabolic law indicates that the Cu6Sn5 layer formation is diffusion-limited (

Fig.8 Average thickness of IMCs Cu6Sn5 (a) and Cu3Sn (b) at 85 °C
The parabolic rate constant of the intermetallic layer forma-tion is increased, and some Sn is substituted by Bi and Ag3Sn in Cu6Sn5 at the Sn-20Bi-0.7Cu-1.0Ag/Cu solder joint interfaces. It is suggested that Bi can increase copper diffusion in Cu6Sn5 and lead to the formation of Ag-based compounds at high concentrations. At later stages of aging, the Cu6Sn5 layer grow-th is further enhanced by intermetallic phase precipitation in the solder bulk, which may lead to premature degradation of the solder joint. The Bi and Ag concentration should be lowered to avoid the excessive precipitation of Cu6Sn5 in bulk.
1) With increasing Ag content in the Sn-20Bi-0.7Cu-xAg solders, the growth of the Cu6Sn5 layer is suppressed and expected to be prevented in the horizontal direction until the grains start to impinge each other. The scallop-type shape of this phase is probably a result of the grain coarsening, and it disappears at later stages of aging, suggesting a change in the growth mechanism to the steady growth in the direction perpendicular to the interface. When the solder alloy is solidified, the β-Sn crystal grains firstly nucleate on the (020) crystal plane and grow on the (200) crystal plane of the Ag3Sn particles.
2) The growth index n of Cu6Sn5 and Cu3Sn is calculated, and the growth process of the Cu6Sn5 layer can be separated. Bi, Cu6Sn5, and Ag3Sn inhibit the growth of Cu3Sn. The growth index is very low for Cu6Sn5. And 0.7wt% Ag has the best effect on the stability of Sn-20Bi-0.7Cu solder.
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