The reliability of copper pillar under the coupling of thermal cycling and electric current stressing
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1 J Mater Sci: Mater Electron (2016) 27: DOI /s The reliability of copper pillar under the coupling of thermal cycling and electric current stressing Hui-Cai Ma 1 Jing-Dong Guo 1 Jian-Qiang Chen 1 Di Wu 1 Zhi-Quan Liu 1 Qing-Sheng Zhu 1 Li Zhang 2 Hong-Yan Guo 2 Received: 22 February 2016 / Accepted: 21 May 2016 / Published online: 27 May 2016 Springer Science+Business Media New York 2016 Abstract Cu pillar samples were subject to the thermal cycling test along with current stressing to investigate its reliability issues under the coupling effect. Analysis of scanning electron microscopy (SEM) pictures of Cu pillar bumps showed the evolution of interfacial microstructure. The finite element analysis pointed out the probable site of cracks initiation based on the strain and stress distribution. Three failure modes, electromigration (EM) induced cracks at Cu 6 Sn 5 /Sn interface on cathode, cracking of Cu/Cu 3 Sn interface on anode side, and fatigue-creep induced cracks in Sn solder, took place at the interfaces of copper pillar interconnect under electric current and thermal cycling. In addition, EM induced failure increased while fatigue-creep failure decreased with electric current density. The failure mechanisms were analyzed from stress concentration, interfacial morphology and voids formation respects. 1 Introduction The solder bumps, in the microelectronic devices, play a significant role in both mechanical support and electrical connection. The coupling effect of thermo-mechanical stresses and electric current yields new reliability issues. Its corresponding failure mechanisms were usually investigated separately for thermo-mechanical stresses or electric & Jing-Dong Guo jdguo@imr.ac.cn 1 2 Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang , China Jiangyin Changdian Advanced Packaging Co., Ltd., Jiangyin , China current stress. The coupling effect of these two factors, however, was rarely under consideration. Under the driving of higher requirements for multifunctional as well as portable devices, the miniaturization of solder bumps is prevailing today. With the decreasing of solder bumps size and its pitch, dramatic increase occurs in thermo-mechanical stresses [1] and electric current density [2]. Under this circumstance, the coupling effect is becoming increasingly critical and indispensable to the reliability of solder joints. The failure mechanisms for electromigration (EM) and thermal cycling have already been thoroughly studied separately, but these mechanisms may not account for the coupling condition. Under the coupling of thermal cycling and electric current, both EM and thermal stress induced creep-fatigue process may cause failure of the bumps [3 7]. Moreover, EM and creep-fatigue controlling process usually entangles with each other when the solder joints undergo electric current and temperature cycling. The electric current induced void flow weakens the strength of the solder [8], accelerates the creep strain rate and decreases the activation energy. Simultaneously, thermomechanical stress also affects EM failure: the tensile stress enhances EM failure whereas the compressive stress retards it [9]. In our previous work [10], the lifetime of the bumps under the coupled condition was much less than that of thermal cycling and EM, which suggests that the failure mechanisms under the coupled condition may be different and more complicated. Zuo et al. and Ma et al. [11, 12] studied the coupling effect of thermal cycling and high electric current density on Sn58Bi and SnAgCu (SAC) solders. The results revealed that cracks had more impact on the resistance increase than phase segregation. Cracks were inclined to form and propagate along the interface between intermetallic compound layers and solder matrix in SAC solder. In SnBi solder, however, grain boundaries
2 J Mater Sci: Mater Electron (2016) 27: were regarded as the nucleation sites for micro cracks. They also reported that high electric current density alleviated the deterioration of the solder at the beginning stage of coupling stressing through Joule heating effect. Laurila et al. [13]. investigated the failure mechanism of solder interconnects in power cycling tests, but they suggested that the failure modes of coupling tests were the same with that of thermal cycling tests. Although the results are fruitful, the failure mechanism of solder bumps under coupling effect is still unclear. Thus, the present study attempts to probe failure mechanisms of solder bumps under thermal cycling combined with electric current stressing using copper pillar with Sn cap structure. Specifically, the effects of electric current density, temperature, stress and IMCs on the atomic migration and failure process will be carried on. 2 Experimental The configuration and dimensions of the cross-section of flip-chip solder joint samples with a daisy-chained circuit are illustrated in Fig. 1. The pitch between adjacent pillars is 400 lm. The heights of copper pillar and Sn solder are 100 and 30 lm, respectively. And their diameters are all 160 lm. The thickness of Cu trace on the chip is 10 lm and on PCB side, 30 lm. Multi-field coupling failure tests were conducted using a series of samples. The electric current densities of 12.4, 17.4, 19.9 and 22.4 ka/cm 2 corresponding to constant DC electric current stressing of 2.5, 3.5, 4.0 and 4.5 A, respectively, were applied on the samples. For comparison, tests without electric current, viz., only thermal cycling tests were also conducted as reference group. Based on the JEDEC standards, the accelerated temperature cycling condition was provided by Temperature Cycling Test Chamber. Figure 2 shows the thermal profile of the accelerated thermal cycling. A sound cycle would take 50 min. The dwell time at high and low extreme temperatures was 10 min, and the heating and cooling rates were 11 C/min. The resistance and temperature data were monitored in situ. After multi-field stressing, the interfaces Fig. 2 Accelerated thermal cycle with load steps between solder and substrate were examined by scanning electron microscopy (SEM). To understand the crack extension process of copper pillar joint with voided interface due to EM enhanced Kirkendall effect, the stress and strain were studied with a finite element (FE) model of a voided IMC layer with different thicknesses. Using ANSYS14.0 as the finite element analysis tool, Sn cap was meshed using the VISCO107 elements, whereas all the other package materials were meshed using SOLID45 elements. To authentically reflect the nature of creep and fatigue behavior under thermal cycling, herein, the unified viscoplastic law was used to describe the material properties in FEM modelling. Anand constitutive model was applied to solder material and its detailed data was given is our previous work [10, 14]. The rest materials are assumed to be linear elastic and their material data was presented in Table 1. The finite element analysis contained five heating/cooling cycles since the stress and strain on joints generally stabilized after the third cycle during thermal cycling. 3 Results According to our previous work [10], after experiencing a long resistance-hardly-increase period which accounts most part of lifespan of copper pillar interconnects under thermal cycling and electric current, the resistance of most samples rose abruptly to an open circuit. Thus, it is Table 1 Material properties Materials CTE (ppm/k) Poisson s ratio E (GPa) Fig. 1 Cross-sectional view of an as-assembled Cu pillar solder joint Si Cu Sn FR
3 9750 J Mater Sci: Mater Electron (2016) 27: reasonable to set open failure as the failure criterion for each sample. For each set of test, the lifetime data of experiment under the coupled condition were analyzed statistically by using a two-parameter Weibull distribution (Fig. 3) [15, 16]. Its scale parameter, g, and shape parameter, b were used to determine the mean time. The lifetime data are presented in the third column of Table 2 [10]. From the table, the lifetime drops quickly with the increase of electric current density. This trend reveals EM accelerated failure of Cu pillar bump in the coupling tests. After statistically analyzing the morphologies of crosssectioned samples with SEM, three failure modes were discovered in copper pillar interconnects under the coupled condition. The first failure mode was EM induced failure on cathode side. The second was cracking of Cu/Cu 3 Sn interface on anode side. And the third was fatigue-creep failure of solder. The proportion of each kind of failure mode for each set is tabulated in Table 3. From the table, it can be noted that EM induced failure increased from 31 to 44 % with electric current density increased from 12.4 to 22.4 ka/cm 2, on the other hand, fatigue-creep failure decreased from 56 to 19 % with electric current density increased from 12.4 to 22.4 ka/cm 2. The failure mechanism shifted from fatigue-creep dominated failure to EM dominated failure when electric current density increases from 12.4 to 22.4 ka/cm 2. The first failure mode, EM-induced cracks on the cathode, is presented in Fig. 4. As the arrows indicated, PCB side is the cathode in Fig. 4a, whereas copper pillar side is the cathode in Fig. 4b. Cracks appeared on the cathode side in both Fig. 4a, b. Specifically, cracks appeared at Cu 6 Sn 5 / Sn and Cu 3 Sn/Cu 6 Sn 5 interfaces. The polarity effect, which is commonly observed in conventional solder bumps, also existed in copper pillar interconnects during electric current stressing. Cu 6 Sn 5 and Cu 3 Sn IMC layers formed on both sides in both joints. Samples failed in such mode usually have a shorter lifespan. Table 2 Lifetime statistics of Cu pillar bumps [10] J (ka/cm 2 ) T ( C) b N (cycles) , Table 3 Statistics of each failure mode under different coupling tests j (ka/cm 2 ) EM (%) Anode crack (%) Fatigue-creep (%) The second failure mode is cracking of Cu/Cu 3 Sn interface on the anode side, as indicated in Fig. 5. This kind of failure is the unique failure mode for copper pillar interconnects rather than conventional solder ball interconnects. Because the limited Sn cap transformed into intermetallic compound layers on the anode due to the polarity effect of EM in copper pillar interconnects. In addition, this brittle fracture mode often occurred on the PCB substrate side. Figure 6 shows third failure mode, that is, fatigue crack forms in solder. In this case, though the polarity effect also existed and Kirdendall voids appeared at the interface and in Cu 3 Sn phase, cracks were found in solder section instead of the interface that discussed above. From the picture, Sn is unexhausted when crack took place. This failure mode is similar with that of interconnect experiencing only thermal cycling, but its lifetime has been significantly reduced. The foremost reason is that EM effect greatly increases the density of voids and internal defects such as micro cracks in the solder. As a consequence, the strength of solder decreased and the failure process was accelerated under the alternating thermal stress. This failure mode mainly appears in multi-field tests with low electric current density, 17.4 ka/cm 2 in this study. 4 Discussion Fig. 3 The Weibull cumulative distribution curve For the first failure mode, cracking of the Cu 6 Sn 5 /Sn interface owes to EM induced voids, fatiguing the serrated interface and the microcracks in Cu 6 Sn 5 phase. First of all, due to the effect of electric current, the in-migrating atomic flux cannot counterbalance the emigrating Cu flux at
4 J Mater Sci: Mater Electron (2016) 27: Fig. 4 Cracks formation on the cathode side a cathode side on the PCB side, b cathode side on the copper pillar side, c close-up of a, d close-up of b Fig. 5 Cracking of Cu/Cu3Sn interface a fracture on anode side, b close-up view of a Fig. 6 Failure in solder a initiation site of crack, b extension of crack, c open failure in solder Cu6Sn5/Sn interface on the cathode side. Therefore, an increasing number of vacancies accumulated at this interface and gradually condensed into voids with time of EM. Noticeably, when failure occurred, Sn was unexhausted (Fig. 4). This differs from EM induced failure of copper pillar subjecting to only electric current, in which cracks
5 9752 J Mater Sci: Mater Electron (2016) 27: form at Cu/Cu 3 Sn interface and all Sn cap has been transformed to IMCs [17]. Moreover, the lifetime of copper pillar under the coupled condition is shorter than that under electric current [10]. This disparity suggests that copper pillar interconnect is more vulnerable to the coupled condition than single field (electric current stressing). In detail, in addition to the EM effect on the cathode interface, thermal cycling also has an effect on the reliability of this interface under the coupled condition. First, the fatigue crack accelerates the cracking process of Cu 6 Sn 5 /Sn interface. During thermal cycling, due to the mismatch of coefficient of thermal expansion between Cu 6 Sn 5 (a Cu6Sn5 = ) and Sn (a Sn = ), a larger stress builds up at Cu 6 Sn 5 /Sn interface (Fig. 8). Furthermore, the serrated morphology of this interface provides an easy path for fatigue crack propagation. Thus, fatigue-creep crack extends along the serrated interface between Sn and Cu 6 Sn 5 scallops, as marked by the red wavy line in Fig. 7a. The second factor accelerating the cracking process of this interface is microcracks in Cu 6 Sn 5, as shown in Fig. 7b. This kind of microcracks also existed in samples stressing only with thermal cycling. Thus, the final failure results from EM induced voids, cracks in Cu 6 Sn 5 scallops and fatigue crack propagation among these voids and micro cracks. This failure mode dominates the lifetime of Cu pillar when the electric current density is high because high electric current density means more voids and thicker Cu 6 Sn 5. Furthermore, this kind of crack is mode I cracking judging from the stress and strain analysis as indicated in Fig. 8a. The y-stress distribution shows that the maximum stress site locates at Cu 6 Sn 5 /Sn interface regardless of the IMC thickness from our calculation. In addition to thermomechanical loading, this stress is also attributed to volume change induced by IMC formation. The y-stress, perpendicular to the interface, drives the crack to propagate as a mode I crack. On the other hand, the stress may also cause Cu 6 Sn 5 cracking as shown in Fig. 7b, which aggravates the mode I cracking propagation. Meanwhile, accompanying with the IMC decomposition and atoms emigration at interfaces on cathode, atoms immigrate and IMC forms at interfaces on anode side. Especially, the formation of Cu 3 Sn is always accompanied by a great number of Kirkendall voids formation at Cu/ Cu 3 Sn interface, which degrades the strength of interconnect. The mechanism and formation process of these voids can be found in our previous study [17]. Further, these voids connects into a crack and propagates along Cu/Cu 3 Sn interface, as indicated in Fig. 6, under the larger stress which can be derived from the result of finite element simulation, as shown in Fig. 8a. This failure mode is always combined with the first failure modes because the large amount of IMC formation on the anode side is always at the cost of severe IMC decomposition and atoms migration on cathode side. The mechanism of cracking of solder Sn is stress concentration induced crack rather than recrystallization-assisted crack nucleation and propagation. The microstructure was inspected by using EBSD technique after tests, as shown in Fig. 9. It is found that the microstructure of the interconnection, especially near the cracks, had not changed after thermal cycling. It is different from the failure mode of conventional solder balls in which the cracks extended along the grain boundaries caused by recrystallization. Tin grains near the cracks still remain the same morphology and there are no recrystallization grains. In fact, the crack initiates from the edge of the solder section, as shown in Fig. 6a, which may be attribute to the larger stress and strain at this site, as indicated in stress distribution map of FEA result (Fig. 8b, c). Then it propagates gradually with the number of cycles in solder till open failure occurs across solder interconnect. This kind of failure is the mix of mode I and mode II cracking. As shown in Fig. 6c, there is a relative horizontal displacement between site A and site B which are supposed to be one site before cracking. The shear stress, as shown in Fig. 8b, drives the horizontal displacement in solder. At the same time, the solder also subjects to a perpendicular stress so that mode I cracking process also contribute to the final open failure in solder. These three failure modes exist in each group with different proportions as listed in Table 2. In each group, Fig. 7 a Fatigue crack at Cu 6 Sn 5 /Sn interface, b microcracks in Cu 6 Sn 5 scallops
6 J Mater Sci: Mater Electron (2016) 27: Fig. 8 FEA simulated deformation and stress a y-stress, b xz-stress, c xz-strain hand, along with thicker layers of IMCs formation on anode, large number of Kirkendall voids form and coalescence at Cu/Cu 3 Sn interface so that the second mode of failure occurs. But when the c-axes of the Sn grains deviate from the current direction, as illustrated in Fig. 9c, d, the polarity effect became less pronounced, as well as EM induced failure. Creep-fatigue, instead, dominates the failure process in such orientated samples. Thus, this kind of samples is inclined to have longer lifetime and fail in the third mode. Thus, the failure modes are more complicated for the coupled condition, which comprises failure characteristics of thermal cycling and EM. EM leads to increasing the density of voids in solder, reducing the strength of solder joints and accelerating the solder joint failure process under thermal cycling. The introduction of cyclic thermal stress, on the other hand, also deteriorates the interface subjecting to EM. Furthermore, the microstructure of solder joints also affects its reliability. 5 Conclusion Fig. 9 EBSD map of solder Sn with a crack a SEM picture of Sn grains with c-axes long current direction, b EBSD map of a, c SEM picture of Sn grains with c-axes deviate from current direction, d EBSD map of c according to our statistics, the time to failure of the first and second failure modes is usually shorter than that of the third failure mode. The orientation of Sn solder may account for the difference of time to failure. Under current stressing, the growth of the interfacial intermetallic compound was Sn grain orientation dependant [18]. When the current flow aligns to the c-axes of most Sn grains it causes a severe polarity effect, i.e., thicker Cu 6 Sn 5 layer on anode (Fig. 9a, b). On cathode side, however, IMCs decompose quickly so that the first failure mode occurs. On the other Failure mechanisms in copper pillar bumps during multifield coupling tests are examined. The result shows that there are three failure mechanisms: (a) EM induced cracks formation on the cathode side under high electric current density, (b) cracking of Cu/Cu 3 Sn interface on anode side, and (c) fatigue crack formation in the solder tending to appear under low electric current density. The first and second failure modes are mainly caused by EM which is related to the electric current density and the orientation of solder Sn. The third failure mode is attributed to fatiguecreep of solder Sn with crack initiating at the middle brim of solder Sn part because of stress concentration. In each test set, these failure modes mingle the characteristics of EM and thermal cycling together with different proportions. Thermal stress and potential failure sites of copper pillar interconnect are investigated by FEA. The results reveal that the maximum y-stress locates at the interface
7 9754 J Mater Sci: Mater Electron (2016) 27: between Cu pad on the PCB side and solder Sn, the maximum shear stress, whereas, locates at the middle brim of solder Sn. These places are potential to crack under coupling of thermal cycling and electric current tests. Acknowledgments This work was supported by the Natural Science Foundation of China, Grant Nos and , the Major National Science and Technology Program of China, Grant No. 2011ZX References 1. C.T. Lin, Y.C. Chuang, S.J. Wang, C.Y. Liu, Appl. Phys. Lett. 89(10), (2006) 2. K.M. Chen, T.S. Lin, J. Mater. Sci. Mater. Electron. 21(3), 278 (2009) 3. K.N. Subramanian, J.G. Lee, J. Mater. Sci. Mater. Electron. 15(4), 235 (2004) 4. R. An, Y.H. Tian, R. Zhang, C.Q. Wang, J. Mater. Sci. Mater. Electron. 26(5), 2674 (2015) 5. C.J. Lee, W.Y. Chen, T.T. Chou, T.K. Lee, Y.C. Wu, T.C. Chang, J.G. Duh, J. Mater. Sci. Mater. Electron. 26(12), (2015) 6. C.M. Chen, L.T. Chen, Y.S. Lin, J. Electron. Mater. 36(2), 168 (2007) 7. J. Hokka, T.T. Mattila, H.B. Xu, M. Paulasto-Krockel, J. Electron. Mater. 42(6), 1171 (2013) 8. B.H. Kwak, M.H. Jeong, J.W. Kim, B. Lee, H.J. Lee, Y.B. Park, Microelectron. Eng. 89, 65 (2012) 9. H. Gan, K.N. Tu, J. Appl. Phys. 97(6), (2005) 10. H.C. Ma, J.D. Guo, J.Q. Chen, D. Wu, Z.Q. Liu, Q.S. Zhu, J.K. Shang, L. Zhang, H.Y. Guo, J. Mater. Sci. Mater. Electron. 27(2), 1184 (2015) 11. Y. Zuo, L.M. Ma, S.H. Liu, T. Wang, F. Guo, X. Wang, J. Mater. Sci. 48(6), 2318 (2012) 12. L.M. Ma, Y. Zuo, S.H. Liu, F. Guo, X.T. Wang, J. Appl. Phys. 113(4), (2013) 13. T. Laurila, T. Mattila, V. Vuorinen, J. Karppinen, J. Li, M. Sippola, J.K. Kivilahti, Microelectron. Reliab. 47(7), 1135 (2007) 14. L. Anand, J. Eng. Mater. Tech. 104(1), 12 (1982). doi: / W. Weibull, J. Appl. Mech-T. ASME. 18(3), 293 (1951) 16. W. Weibull, The Phenomenon of Rupture in Solids, Ingeniörs Vetenskaps Akademien, Handlingar, Nr 153 (Generalstabens Litografiska Anstalts Förlag, Stockholm, 1939) 17. H.C. Ma, J.D. Guo, J.Q. Chen, D. Wu, Z.Q. Liu, Q.S. Zhu, J.K. Shang, L. Zhang, H.Y. Guo, J. Mater. Sci. Mater. Electron. 26(10), 7690 (2015) 18. J.Q. Chen, J.D. Guo, K.L. Liu, J.K. Shang, J. Appl. Phys. 114(15), (2013)
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