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Electromigration Mechanism of Failure in Flip-Chip Solder Joints Based on Discrete Void Formation

In this investigation, SnAgCu and SN100C solders were electromigration (EM) tested, and the 3D laminography imaging technique was employed for in-situ observation of the microstructure evolution during testing. We found that discrete voids nucleate, grow and coalesce along the intermetallic compound/solder interface during EM testing. A systematic analysis yields quantitative information on the number, volume, and growth rate of voids, and the EM parameter of DZ*. We observe that fast intrinsic diffusion in SnAgCu solder causes void growth and coalescence, while in the SN100C solder this coalescence was not significant. To deduce the current density distribution, finite-element models were constructed on the basis of the laminography images. The discrete voids do not change the global current density distribution, but they induce the local current crowding around the voids: this local current crowding enhances the lateral void growth and coalescence. The correlation between the current density and the probability of void formation indicates that a threshold current density exists for the activation of void formation. There is a significant increase in the probability of void formation when the current density exceeds half of the maximum value.


Results
Electromigration failure due to growth and coalescence of discrete voids. In all the tested material combinations, in contrast to the well-known pancake void model [13][14][15] , we observed the new third failure mechanism of discrete void growth and coalescence 19 . We observe that discrete voids continue nucleating and growing along the IMC/solder interface throughout the testing period, as shown in the initial and late stages of plane-view cross-sectional X-ray laminography images in Fig. 1, on the top and on the bottom respectively.
The evolution of the discrete voids is clearly visualized by comparison of the laminography images at 0 hr and 300 hr. Furthermore, in Cu-SAC-L and Cu-SAC-H some voids coalesce into several large ones on the right-hand side of the bump. The coalescence results from the current crowding effect and the intrinsic faster diffusion of the SAC1205 solder (compared to SN100C), as will be further discussed in the following sections. 3D volume rendering is aligned with these laminography cross sections, as shown in the middle part of Fig. 1, for the demonstration of the discrete void growth and coalescence process at different EM testing stages.
In addition we also note a significant shape change in Ni-SN-H due to local melting at 47 hr, leading to the failure of this solder. For other type of solders, after some 100 hr of testing, the discrete voids grow and coalesce into large voids, leading to the failure of the solder joint. Quantitative analysis based on the in-situ 3D laminography measurements are presented and discussed in the following sections with more details.
The volume of voids. Figure 2(a) shows the evolution of the total volume of voids as a function of the EM testing time for all samples. All the curves follow a power-law evolution where the volume increase of voids during testing can be expressed by where V 0 is the initial volume of voids, V t is the total volume of voids at testing time t, R is a growth constant, and n is the exponent of growth. Taking the logarithm yields i.e. when plotting the porosity change in a double-logarithmic manner, we can directly determine the growth exponent n from the slope of the fitting line, together with R from the intercept. The exponent of growth represents the dominant mechanism of void growth. In order to analyze the kinetics Fig. 2 logarithmic axis, to obtain Fig. 2(c). The intercept and slope are listed in Table 1. According to previous studies, n equal to 1.0 implies that the reaction is dominated by interfacial reaction 36,37 , while if n equal to 0.5, the reaction is controlled by the diffusion of species. As shown in Table 1, for Cu-SAC-L and Cu-SAC-H n is close to 0.5, which means that Sn diffusion dominates the void formation in SAC1205 solder [38][39][40] . In contrast, in the case of Cu-SN-L, Ni-SN-L, and Ni-SN-H samples, in which the SN100C solder is used, n is found to lie between 0.70 and 0.78, implying that besides Sn diffusion, the nucleation of voids may play an important role during EM tests. The product of diffusivity and effective charge number, DZ*, is one of the most important material properties in EM. In solder, the diffusion flux of Sn driven by EM can be represented by 41 EM Figure 1. The reconstructed cross-sectional laminography images at the UBM/solder interface before (initial state) and after EM testing for 300 hours (on the top and the bottom, respectively). The solder material is visible in gray and the voids in black. In the middle: 3D rendition of the top portion of the solder joints, showing the evolution of discrete voids as a function of EM testing time; the solder outline is rendered in semi-transparent gray while the voids are in magenta.
where J EM is the flux of EM, C is the concentration of Sn, k is the Boltzmann constant, T is the absolute temperature, e is the electric charge, ρ is the resistivity, and j is the current density. When the EM results in void formation, we have where V EM is the volume of voids, Ω is the atomic volume of Sn, A is the contact area, and t is the testing time. Combining Eqs (3) and (4), and knowing that Ω equals to 1/C, DZ* can be obtained as The DZ* values calculated according to Eq. (5) are listed in Table 1 for each material combination. The calculation of DZ* supports the above conclusion. It is seen that the DZ* value of SAC1205 is about twice that of SN100C, implying that the voids grow much faster in SAC1205 than in SN100C. These observations may also be attributed to the smaller grain size in SAC1205 42 .
The projected void area. Since most of the voids grow along the IMC/solder interface, in order to illustrate the microstructure evolution more clearly, we project the 3D void shapes onto the UBM opening plane for each EM stage and then overlap all the stages by using different colors, as shown in Fig. 3. Unlike Cu-SN-L, Cu-SAC-L, and Cu-SAC-H, the coalescence between voids is not significant in Ni-SN-L and Ni-SN-H. This indicates that the electroless Ni/Au UBM in Ni-SN-L and -H samples suppresses or retards void growth. The increase of the total void volume in Ni-SN-L and -H mainly results from the formation of new voids. In contrast, the coalescence between voids in Cu-SN-L, Cu-SAC-L and -H is very pronounced. Besides the coalescence, void nucleation is also severe in both Cu-SAC-L and -H.
From the viewpoint of spatial void distribution, more voids have nucleated in the right-hand side of the solder joint, which is the entrance point of the electron flow and correspondingly the point of current crowding 13 . In addition, voids mainly start forming in the periphery and then grow towards the center of the UBM because both the thick Cu and Ni UBM cause the secondary current crowding 43 effect: The resistivity of Cu and Ni are 1.7 Figure 2. (a) The evolution of total volume of voids in each sample during EM testing; (b) the growth rate of total void volume in each sample; (c) logarithmic plot of (a). and 6.8 μΩ⋅cm, respectively, which are much smaller than that of Sn at 14.6 μΩ⋅cm. Therefore, the thicker Cu/Ni UBM is responsible for conducting more current away from the current crowding region, and when the current flows to the other side of the UBM, it returns into the solder and causes secondary current crowding. Thus both current crowding and secondary current crowding play important roles in our observations. As one can clearly see the remaining contact areas in Cu-SAC-L ( Fig. 3(b)) and Cu-SAC-H (Fig. 3(c)) are located in the center-left of the bump interface. It is seen that all samples exhibit the new EM failure mechanism of discrete voids nucleation, growth, and coalescence. However, the following quantitative evaluation of void growth will indicate the very different behavior for different material combinations. In the microelectronics industry the failure of a solder joint is usually defined by a resistance increase of 20%. In this study, the resistance increase of a single solder bump was not monitored directly because it requires a specific design of circuit. However we are able to deduce the resistance change during the EM testing based on our quantitative measurement of the interfacial void growth induced by EM: the resistance R of an object is inversely proportional to its cross-sectional area A a resistance increase of 20% corresponds to an area decreases of 16.7%. In other words, the joint is considered to fail when the projected area of voids A exceeds 16.7%.
The  Fig. 4(a). After these sample failure times EM testing was continued in order to observe the process of microstructure evolution. According to the failure times of all samples, the samples using SAC1205 solder had shorter failure lifetimes. The samples using SN100C survived longer but they had the chance of early failure under a high current stressing density (Ni-SN-H). The difference in the failure times roughly agrees with the reliabilities of the different material combinations 11 . The combination of Ti/Cu/ Cu UBM and SAC1205 solder failed first; the combination of Ti/Cu/Cu UBM and SN100C was the intermediate one. Therefore, we can conclude from this study that the effective diffusivity determines the failure time. Since the electroless Ni/Au UBM further suppressed void growth, the combination of electroless Ni/Au UBM and SN100C solder survives without failure for the longest time.
The void nucleation and growth can be viewed as a kind of phase transformation following the JMA theory 11 .
where X T is fraction of the volume transformed and X ext is the fraction of the extended volume, defined as where R N is the nucleation rate, R G is the growth rate of spherical transformed particles (which refer to voids in this study), and t is the time of transformation. Since X T is the ratio of contact area transformed into voids at testing time t, then 1-X T represents the remaining contact area. Figure 4(b) shows the relation between the remaining contact area and the testing time on a logarithmic axis. All lines in Fig. 4 (b) are approximately linear which indicates that the void formation follows the JMA theory, describing a homogeneous solid phase transformation. This however is very unusual since the original JMA model assumes a fixed driving force for transformation. Instead, the void growth rates in our case decrease with time as shown in Figs 2(a,b) and 4(a). In the kinetics of the JMA model the transformation follows an S-shaped curve where the transformation rate is low at the beginning and the end of the transformation. The initial slow rate is due to the time required for a significant number of new phase to nucleate; the end is due to the limited remaining area for the new phase to form as well as the coalescence between existing new phases hindering the growth. In our study, the void nucleation rate is proportional to the current density 19 . As long as the global current density distribution stays almost unchanged the nucleation rate is almost constant. Therefore our result follows well the JMA model in the beginning of the EM damage i.e. up to 108 hours. Further, at the end of our EM tests the maximum transformation for Cu-SAC-L and -H, Cu-SN-L, Ni-SN-L and -H were only 50%, 70%, 30%, 20%, and 17%, respectively. Thus it is not the amount of untransformed area restricting the transformation rate, but probably the decreasing void growth rate, which is responsible for the slowing down of the total transformation rate. This may lead to the coincidence of our data with the JMA model in the end part of tests. This is a very interesting observation but requires further research. The decreasing void growth rate is attributed to the massive coalescence between voids and the attenuation of the diffusion flux which will be discussed in the following sections.   Fig. 6; and a coalescence between voids causes the green line going down by one while the red line going up by one. If all voids grow without any nucleation and coalescence, all three lines stay the same. On one hand the rate of newly-formed void is determined by (1) the void nucleation rate and (2) the magnitude of applied current in this study. On the other hand, the rate of coalescence depends on (1) the growth rate of voids, (2) the spatial density of voids, and (3) the non-uniformity of void distribution. Since the area of UBM in this study is a constant, the average density of voids is proportional to the number of voids. The voids in a crowded region have more chance to coalesce since their mutual distance is reduced. The current crowding effect induced (due to the unique line-to-bump geometry in the flip-chip) can cause such non-uniformly distributed void nucleation. In the following paragraphs the entire testing procedure is divided into three stages: 1st stage from 0 to 13.0 hours, 2nd stage from 13.0 to 108.0 hours, and 3rd stage from 108.0 to 540.3 hours.
As seen from Fig. 6, in the Ti/Cu/Cu 7.5 μm UBM samples (Cu-SN-L, Cu-SAC-L, and -H), the total number of voids increases abruptly in the 1st stage. These voids activate the coalescence between voids from the 2nd stage so the number of coalescing voids begins to increase gradually. In Cu-SN-L the rate of coalescence only balances the rate of newly-formed voids because of the lower DZ* value of the SN100C solder. Thus the number of voids is maintained between 60 and 65. The boundary between the 2nd and 3rd is less clear in Cu-SN-L. In Cu-SAC-L and -H, the solder was SAC1205 whose DZ* value is twice that of SN100C solder: the Sn atom diffuses much faster in SAC1205, causing a higher void growth rate and a higher rate of coalescence of voids. The higher coalescence rate between voids causes the total number of voids to decrease in the 2nd stage in Cu-SAC-L and -H. In the 3rd stage, the number of both newly formed voids and coalescing voids decreases.
Figure 6(f) shows the evolution rate of the total number of voids, i.e. the rate of cumulative newly-formed voids minus the rate of cumulative coalescence. In Cu-SN-L the new void formation rate and coalescence rate are balanced in the 2nd and 3rd stages. The Cu-SN-L curve is high at the beginning of testing (1st stage) and drops to almost zero. Most of the void growth comes from the growth of existing voids. In Cu-SAC-L and -H, the coalescence rate was constantly higher than the new void formation rate in the 2nd stage due to the high formation rate of new voids in the 1st stage. In contrast, the rate of newly-formed voids was always larger than the coalescence rate in Ni-SN-L and -H. Thus the total number of void increases linearly while, because of the slower diffusion rate of Sn in SN100C, individual voids do not grow much in size. By comparing the above observations, a couple of short conclusions can be drawn. Firstly, the electroless Ni/Au UBM suppresses the individual void growth, which, in contrast, is favored by the Ti/Cu/Cu UBM. Secondly, SAC1205 further promotes the void growth rate and consequently raises the coalescence rate, which in turn decreases the total number of voids in the middle stage of testing. In contrast, SN100C does not significantly accelerate the void growth, so that the number of voids reaches a balance in the middle stage of testing.
In the Ni-SN-L and -H samples the solder employed was SN100C, as was used in Cu-SN-L. The same solder implies the same diffusivity of Sn so the difference in void growth behavior stems from the different UBM. In the case of Ni-SN-L and -H electroless Ni/Au 5.0 μm was used. The resistivity of Ni and the corresponding IMC (Ni3Sn4), 6.8 Ω-cm and 28.5 Ω-cm, are much higher than the resistivity of Cu and its corresponding  44 . The high resistivity UBM and IMC between the Al pad and solder can relieve the current crowding 45 . For this reason the initial abrupt increase of void number is not observed in Ni-SN-L and -H. Therefore, in Fig. 6(d) and (e), the boundary between the 1st and 2nd stage is less clear.
The average volume growth rate of every individual void (shown in Fig. 7), defined by the growth rate of total void volume divided by the total number of voids at each EM stage, indicates the same phenomenon. Since the total void growth follows the JMA theory the growth rate of all voids gradually decreases in all samples. In the case of Cu-SN-L, Ni-SN-L and Ni-Sn-H the total number of voids continued to increase throughout the entire tests, while in Cu-SAC-L and -H it decreases in the 2nd stage of tests. In the 2nd stage of tests, the large voids came from both of the growth of each individual void and the coalescence between them. Therefore, an increase in the growth rate of individual void in Cu-SAC-L and -H in the 2nd stage of tests were observed. Finally, when most of the global current crowding region is occupied by voids the void growth and coalescence slow down and a decrease in the growth rate of individual void in Cu-SAC-L and -H is also seen. The correlation between current density distribution and void formation. Figure 8 shows the evolution of the current density distribution with the void growth in Cu-SAC-L sample during the EM testing. As seen from the color gradient from green to blue in the solder, the global current density distribution across the entire contact area does not change significantly during the EM testing. This gives support to the finding in previous section that the growth of projected void area follows the JMA theory. Apart from the unchanged global one, the effect of local current crowding induced by the discrete voids is observed. This is because current is diverted around the individual voids causing the surrounding area to become locally high current density regions 46,47 . The void formation refers to the accumulation of vacancies, or the diffusion flux divergence. During EM testing the downward electron flow drives the atoms of UBM and IMC into the IMC/solder interface where atomic flux divergence occurs [48][49][50] . When the supply of atoms at the interface is less than the consumption, voids form. Once a void is formed the consequent local current crowding around the void promotes the growth along the IMC/solder interface. Therefore regions of local current crowding show higher potential for void nucleation, growth, and coalescence. Most of the voids observed during the EM testing are distributed horizontally along the interface.
In order to analyze the effect of the global current density distribution on void formation, Fig. 9 was obtained. The black columns in Fig. 9(a) represent the number of solder elements in the Cu-SAC-L sample before EM testing, the red columns represent the number of void elements transformed from solder elements after EM testing for 108.0 hr. The probability of void formation can be expressed by where E void at current stage is the number of void elements transformed from solder elements at the current stage, and E solder at previous stage is the number of solder elements at the previous stage. The probability of void formation in the Cu-SAC-L sample and in all samples after EM testing for 108.0 hr is shown in Fig. 9(b) and (c) respectively. These figures indicate that the probability of void formation in all samples is only enhanced when the current density exceeds a threshold value. In Cu-SAC-L the threshold value was roughly 2.0 × 10 4 A/cm 2 . However, it has to be noted that the threshold value here is not the critical current density in EM [51][52][53] . The critical current density is an important value in studying EM. It can be obtained by balancing the EM and the resulting back stress. Once a current is applied to a subject, the atoms diffuse from the cathode to the anode. The accumulation of atoms at the anode induces a back stress gradient and the diffusion caused by the stress gradient retards the EM diffusion. The EM damage does not occur in a sample with specific length where the current density is lower than the critical current density. The critical current density is around 1.0 × 10 4 A/cm 2 for a 300 μm Sn stripe and a SnAg3.8Cu0.7 stripe 52,53 . The phenomenon shown in Fig. 9(b) and (c) may arise from the combined effect of critical current density and the interfacial reaction between IMC and solder, confirmation of which however requires further studies. The movement of the void geometric center (Fig. 10) also indicates the correlation between the microstructure evolution and the distribution of global current density. In Fig. 10, the curves represent the movement of the void geometric center with the dot size indicating the relative value of the total volume of voids at a specific EM testing time. At the global current crowding region the void formation is promoted by the high current density, resulting in the geometric center moving in the positive X-direction in the early stages of testing. After a certain period, discrete voids grow and coalesce into large voids which cover most of the global current crowding region. Subsequent void growth toward the left-hand side of the bump, results in the void geometric center moving in the negative X-direction. This process can be observed significantly in the Cu UBM samples but not the Ni UBM samples because their microstructure evolution was mainly dominated by void nucleation without coalescence after the 2nd stage (as discussed in Fig. 6).

Vertical void growth caused by thermomigration.
A number of voids were observed to grow upward in Cu-SAC-L and -H samples as shown in Fig. 11. From the viewpoint of EM, the voids should grow horizontally along the IMC/solder interface because of the microstructure and the impact of local current crowding. Therefore, these upward growing voids were most probably caused by thermomigration (TM) according to the direction of     this driving force 54 . As Fig. 11(b) shows, when the top trace is conducting high current, a large amount of Joule heating is generated and the region near the top trace becomes a hot site. Due to the thermal gradient, a TM flux of Sn is generated toward the hot side since the Q* value of Sn atoms is negative [55][56][57] . (Heat of transport, Q*, is the difference between the heat carried by the moving atom and the heat of the atom in the initial state). As a result a void can grow upwards towards the hot side of the bump. Since this observation was only found in Cu-SAC-L and -H samples it implies that SAC1205 solder is more sensitive to TM compared with SN100C solder. However the influence of TM on the EM results is assessed to be small since only a few vertically growing voids were observed.

Discussion
The established pancake void model of flip-chip solder joint failure postulates that only one void forms at the current crowding spot and propagates without coalescence along the IMC/solder interface [13][14][15][16]41 . This occurs when the UBM is very thin and the contact resistance is low, and results in a single nucleation and growth event.
The basic concept of this model is partially correct when it is applied to the present study, where multiple nucleation events occur. This is possibly because a much thicker UBM is used, so that current crowding is spread across the entire contact area. It seems that the bump design may play a role in determining failure mechanisms, however this requires additional investigations, for example the investigation of similar solder alloys with different mechanical structure using the same observation technique. Nevertheless, this new EM failure mechanism (discrete void growth and coalescence) observed by 3D laminography implies several important differences from the pancake void model. Firstly, the current crowding effect does not limit the void number into only one, although void has higher probability to nucleate in the global current crowding region. However, the correlation only occurs in the high current density region as shown in Fig. 9. Due to the current crowding effect a high current density can be observed in a few samples while in most regions, the current density was lower than the average value, 7.5 × 10 3 A/cm 2 . All the curves in Fig. 9(c) show the same tendency: the probability of void formation increases considerably when the current density exceeds a certain value. These values do not correspond to the critical current in EM because there will be no EM flux once the applied current is smaller than the critical current 42,51,58 . This is a very interesting phenomenon but requires further studies.
Secondly, the formation of a large void does not only depend on the growth of a small void but also depend on the coalescence of small voids. So the old model cannot reliably estimate the failure rate observed here. In addition, voids nucleate across the entire contact area as shown in Fig. 9(b), not only at one edge of the contact. Some of them are located outside of the current crowding region.
Thirdly, the old model presumes that the pancake void blocks the shortest route for current, diverts it to the growth front of the pancake void, which possesses a wider area, therefore relieving the current crowding effect itself. As a result, the relief of the current crowding effect slows down the growth rate of the pancake void 59,60 . However, the results of the FE models based on the 3D laminography images indicate that discrete void formation only induced a local current crowding effect around the voids. The global current density distribution across the entire contact area does not significantly change during the entire EM testing. The decrease of the void growth rate results from the follow-up behavior of IMC growth. The voids only divert the global current significantly after major coalescence takes place amongst the voids in the late stage of EM testing.

Conclusion
In this study, solder bumps with two kinds of composition and two kinds of UBM were EM tested under two values of current density. To minimize the drawbacks of the destructive observation method in previous studies, the 3D synchrotron laminography imaging was applied. A new EM failure mechanism involving discrete void nucleation and coalescence was observed, rather than the two well-known ones: pancake void propagation and UBM dissolution. Instead of the nucleation and propagation of only one void, a large amount of discrete voids nucleate and grow simultaneously. After a period of time these discrete voids coalesce into several large voids, causing the bump to fail. The coalescence rate was affected by the diffusion of Sn atoms. Both the kinetic analysis and the values of DZ* indicate that the diffusion of Sn is much faster in the SAC1205 solder than in the SN100C solder. The dopant in SN100C somehow reduces the diffusion of Sn and retards the growth of voids. Therefore, the increase of total void volume in Ni-SN-L and -H results mainly from the formation of new voids. From the view point of UBM a thicker UBM with higher resistivity relieves the current crowding effect. The higher current crowding caused by the Cu UBM led to a peripheral distribution of the discrete voids. As a result, the combination of Ni UBM and SN100C solder was found to provide the best EM reliability. In addition, discrete void growth and coalescence follow the initial regime of the JMA theory. The number of voids is also significantly affected by the UBMs and solders. Due to the severe current crowding caused by the Cu UBM the number of voids dramatically increases in Cu-SN-L, Cu-SAC-L, and -H samples in the initial 13 hours of tests. After 13 hours, the fast diffusion of Sn atoms in SAC1205 solder induce a large amount of coalescence of discrete voids. Therefore, the number of voids drops from over 200 to 140 in Cu-SAC-L and 125 in Cu-SAC-H. With the correlation between void formation and current density distribution, a threshold value of current density for the void formation was found to be 2.0 × 10 4 A/cm 2 . This discrete void model was consistent with the pancake void model in the final stage of testing, but provides a more accurate observation of the beginning of testing.

Methods
We combine laminography, quantitative analysis, and 3D finite-element modeling 19 to investigate the EM failure process for different solder/UBM combinations. The in-situ laminography observation provides 3D images non-destructively, without special preparation (like surface cutting or polishing) of the specimens, thus maintaining realistic boundary conditions during testing. Consequently, the quantitative analysis was performed via proper image segmentation and processing. Furthermore, the complete progress of void formation and merging was followed. Based on the 3D laminography images, several series of FE models were built. Then the current density distribution in all stages of samples was obtained. The interactions between the void evolution and the corresponding current density distribution were further discussed.  Several material combinations were chosen for EM testing. As shown in Table 2, there were two kinds of UBM. The Ti/Cu/Cu UBM was applied in Cu-SN-L, Cu-SAC-L, and -H; and the electroless Ni/Au UBM was applied in Ni-SN-L and -H. The Ti/Cu/Cu UBM was made firstly by sputtering 100 nm of Ti and 300 nm of Cu and followed by electroplating 7.5 μm of Cu. The electro-less Ni/Au UBM was made by electro-less plating of 5.0 μm Ni and 50 nm Au finish. Two kinds of solder were chosen: SN100C solder was applied in Cu-SN-L, Ni-SN-L, and -H, and SAC1205 solder was applied in Cu-SAC-L and -H. The composition of SN100C and SAC1205 solder were respectively Sn, Cu 0.65%, Ni 0.05%, Ge 60 ppm, Bi 110 ppm, Pb 140 ppm and Sn, Ag 1.2%, Cu 0.5%, Ni 0.05%.
The samples for the EM tests were produced by National Semiconductor Corporation. There were four identical wafer-level chip-scale-packaging chips mounted on a single printed circuit board. In each chip (3000 μm × 3000 μm) a total of 36 solder bumps were fabricated. By varying the under-bump-metallization (UBM), the solder material, and the magnitude of the applied current, five different sample conditions were tested. The details are listed in Table 2.
By controlling the magnitude of applied current, the current density on the UBM opening in Cu-SN-L, Cu-SAC-L, and Ni-SN-L was 7.5 × 10 3 A/cm 2 , and in Cu-SAC-H and Ni-SN-H it was 1.0 × 10 4 A/cm 2 . During EM testing, a furnace and a thermal couple were used to set and monitor the surface temperature of the chip at 130 °C.
The sample structures were schematically illustrated in Fig. 12. There was one pair of solder bumps (Bump 1 and Bump 2) tested in each sample, as shown in Fig. 12(a) and (b). Bump 1 which was conducting a downward electron flow underwent more damage because the top trace is much thinner than the bottom one, as a result inducing a higher current crowding effect. The other bump with the opposite electron flow direction is labeled as Bump 2. Particularly, the top UBM/solder interface of Bump 1 where a high flux of electrons entered is the major region of interest (ROI). Figure 12(c) and (d) are the enlarged illustration of the dashed rectangle in Fig. 12(a). The diameters of passivation opening, UBM opening, and bump height are 210 μm, 270 μm, and 220 μm respectively. The top trace was 1 μm thick Al, and the bottom trace was Cu which provide good adhesion.