Low Melting Temperature Sn-Bi Solder: Effect of Alloying and Nanoparticle Addition on the Microstructural, Thermal, Interfacial Bonding, and Mechanical Characteristics

Sn-based lead-free solders such as Sn-Ag-Cu, Sn-Cu, and Sn-Bi have been used extensively for a long time in the electronic packaging field. Recently, low-temperature Sn-Bi solder alloys attract much attention from industries for flexible printed circuit board (FPCB) applications. Low melting temperatures of Sn-Bi solders avoid warpage wherein printed circuit board and electronic parts deform or deviate from the initial state due to their thermal mismatch during soldering. However, the addition of alloying elements and nanoparticles Sn-Bi solders improves the melting temperature, wettability, microstructure, and mechanical properties. Improving the brittleness of the eutectic Sn-58wt%Bi solder alloy by grain refinement of the Bi-phase becomes a hot topic. In this paper, literature studies about melting temperature, microstructure, inter-metallic thickness, and mechanical properties of Sn-Bi solder alloys upon alloying and nanoparticle addition are reviewed.


Introduction
In recent years, lead-free solders having high reliable metallurgical, mechanical, and electrical properties have been widely applied not only to consumer appliances but also in industrial electronic products and automobile electronic products [1,2]. Electronic packaging trends move to miniaturization, high-density packaging, and high performance. Fast data communication is required in 5G and IoT (Internet of Things) fields, which need the development of a system in the package (SiP), package on a package (PoP), Wafer level packaging (WLP), 2.5D &3D semiconductor package, system on chip (SOC), and System Integration package (SIP) as packaging technologies [3]. Various lead-free solders have been proposed after the restriction of hazardous substances (RoHs) in the electronic industry. Typical lead-free solders include series of Sn-Ag (Sn-3.5wt%Ag) (all the compositions are in weight percent unless stated otherwise), melting point 221 • C), Sn-Cu (Sn-0.7%Cu, melting point 227 • C), Sn-Bi (Sn-58%Bi, melting point 139 • C), Sn-In (Sn-52%In, melting point 118 • C), Sn-Ni (Sn-0.1%Ni, melting point 231 • C), Sn-Zn (Sn-9%Zn, melting point 198 • C), Sn-Ag-Cu (Sn-3%Ag-0.5%Cu, melting point 217 • C) [4][5][6][7][8][9][10][11][12][13]. The difference in thermal expansion between the Si chip and the substrate increases due to the modularization and enlargement of electronic components. The higher the soldering temperature, the more thermal deformation of electronics components, and, resultantly, defects appear frequently. In addition, in moisture sensitive packaging, defects such as delamination or pop-corning failure can be accentuated at a higher temperature [14]. To solve these problems, there is an increasing need for research on low melting point solders, such as Sn-Bi or Sn-In alloys [15]. Sn-Bi solder is cost effective as compared to Sn-In and has better thermal reliability due to its relatively higher melting temperature. The low melting point solder is suitable for temperature-sensitive fabrics [16] and flexible substrates [17]. For example, Sn-Bi solder melting point solder is suitable for temperature-sensitive fabrics [16] and flexible substrates [17]. For example, Sn-Bi solder can be used for the bonding of electronic devices on a wearable or flexible substrate, like a fabric, as shown in Figure 1 for smart fabrics [16]. However, Sn-Bi eutectic solder has some drawbacks like low ductility and poor fatigue properties [18]. To overcome the problems mentioned above, many studies have been performed, such as grain refinement by the addition of various alloying elements like Ag, Cu, Ni, In, Al, Sb, and so on [19][20][21][22]. Addition of nanoparticles or fibers like CNT, Y2O3, Al2O3, ZrO2, TiO2, Cu, and Ni to solders is another approach [23][24][25][26][27][28]. The epoxy-containing solders, which form an epoxy layer over the solder fillet, is also helpful to enhance shear strength and drop reliability [29][30][31][32][33]. Therefore, in this paper, we would like to introduce the significant results corresponding to the melting temperature, spreading and wetting, microstructure, inter-metallic thickness, and mechanical properties of Sn-Bi solder upon alloying and nanoparticle addition. A special focus has been given to Sn-58Bi composition due to their low melting temperature and their eutectic microstructure.

Effect of Alloying Addition on the Melting Temperature of Sn-Bi Solder
The Sn-Bi-based alloys, which is a low melting point solder that is increasingly applied to suppress thermal deformation of electronic parts and to low temperature process in multi-reflow, should have a low melting point and reliable properties. Among the lowtemperature solders of Sn-Bi and Sn-In based, Sn-58%Bi is a representative solder with low cost, good solderability, and environmentally-friendly characteristics. Sn-Bi-(0.2-0.5)%Ag solders are also popular for a low-temperature application, which has high ductility, good wettability, a suitable mechanical property, and a low melting point [34][35][36][37].  To overcome the problems mentioned above, many studies have been performed, such as grain refinement by the addition of various alloying elements like Ag, Cu, Ni, In, Al, Sb, and so on [19][20][21][22]. Addition of nanoparticles or fibers like CNT, Y 2 O 3 , Al 2 O 3 , ZrO 2 , TiO 2 , Cu, and Ni to solders is another approach [23][24][25][26][27][28]. The epoxy-containing solders, which form an epoxy layer over the solder fillet, is also helpful to enhance shear strength and drop reliability [29][30][31][32][33]. Therefore, in this paper, we would like to introduce the significant results corresponding to the melting temperature, spreading and wetting, microstructure, inter-metallic thickness, and mechanical properties of Sn-Bi solder upon alloying and nanoparticle addition. A special focus has been given to Sn-58Bi composition due to their low melting temperature and their eutectic microstructure.

Effect of Alloying Addition on the Melting Temperature of Sn-Bi Solder
The Sn-Bi-based alloys, which is a low melting point solder that is increasingly applied to suppress thermal deformation of electronic parts and to low temperature process in multi-reflow, should have a low melting point and reliable properties. Among the lowtemperature solders of Sn-Bi and Sn-In based, Sn-58%Bi is a representative solder with low cost, good solderability, and environmentally-friendly characteristics. Sn-Bi-(0.2-0.5)%Ag solders are also popular for a low-temperature application, which has high ductility, good wettability, a suitable mechanical property, and a low melting point [34][35][36][37].
Sn-Bi-based solders have a range of melting temperatures based on alloying elements. Therefore, a detailed and intensive study is required to find suitable applications. Table 1 shows the effects of various additive elements such as Ti, Cu, Ag, In, Sb, Co, Zn, and

Effect of Nanoparticles Addition on Melting Temperature of Sn-Bi Solder
The addition of nanoparticles has no significant influence on the melting temperature of the SnBi solder. Liu et al. [41] reported the melting point of Sn-58%Bi (SB), SB-0.5%Y 2 O 3 , SB-1%Y 2 O 3 , SB-3%Y 2 O 3 as 138.77 • C, 139.15 • C, 138.83 • C, and 139.2 • C, respectively. By the addition of 3%Y 2 O 3 , only 0.43 • C of the melting point is increased. This is because the oxides are stable and non-active in the solder melting state and their contents are small [51].
Similarly, Ti nanoparticles did not significantly affect the melting temperature of Sn58Bi solder [42].

Effect of Alloying Elements on Wetting and Spreading of Sn-Bi Solder
The solder should have excellent spreading and wetting properties on the metal surface of the electronic parts to be joined, which is a basic requirement for suppressing defects during soldering and securing performance and workability. The wettability of a molten solder can be affected by the surface tension of the solder, metal substrate, temperature, atmosphere, and flux. If other factors are fixed except surface tension, the alloying element to the solder, which can change surface tension, is a very influential factor on the wettability. The driving force for the wetting is surface energies between liquid solder and solid substrate represented by Young's Equation (1) and their interfacial reaction [52].
where γ SV is the solid-vapour surface tension, γ SL is the solid-liquid interface surface tension, and γ LV is the liquid-vapour surface tension. For a good wetting and spreading Cosθ and γ SV should be maximum and γ LV is minimum. Dong et al. [39] reported that, when 0.1% RE (Ce and La) added to the Sn-58%Bi, it enhanced the wettability on a Cu substrate.The 0.5% Ag addition to Sn-58%Bi can improve the wettability of the SnBi solders [51]. Meanwhile, Sebo et al. [52] reported through the sessile drop method that the wetting angle in the air with flux increased slightly as the Ag content in the solder increased. However, wetting on the Cu substrate in N 2 +10%H 2 gas, oppositely, shows the wetting angle slightly decreased as the silver content in the solder increased. In Sn-10at%-Bi-(3.3-10) at%Ag series solder, the wetting angle can be reduced with increasing Ag content under N 2 +10H 2 atmosphere [52]. When Cu is added into Sn-Bi-Cu solder, then Cu concentrates on the interface and causes a wetting angle reduction [53]. Sn-Bi-Cu solders are reported to have better thermal resistance and reliability [54]. According to Xu et al., the spreading area of Sn-Bi-Cu solder increased due to a lower melting temperature [55]. The optimum content showing the maximum spreading area is reported as Sn-17%Bi-0.5%Cu [55]. Zang et al. [36] studied 69.5 wt%Sn-30 wt%Bi-0.5 wt%Cu on Cu substrate obtained at 220 • C, 275 • C, and 350 • C. The higher the temperature is, the better the wettability becomes. 69.5 wt%Sn-30 wt%Bi-0.5 wt%Cu at 220 • C has a better wettability on Cu substrate than Sn-3.5%Ag-4.8%Bi and Sn-3.8%Ag-0.7%Cu [56]. According to Wang et al. [57], Sn-38%Bi-1.5%Sb-0.7% Ag solder has a shorter wetting starting time (zero-cross time, t 0 ) than Sn-58% Bi in 160-200 • C range for water-based flux, but not much difference for halide-free alcohol-based flux. However, the wetting force of Sn-38%Bi-1.5%Sb-0.7%Ag solder, 0.6 mN or more, is a little higher than that of Sn-58%Bi, 0.6 mN or less, whereas the soldering temperature and flux do not have a significant effect on the force. Meanwhile, t 0 is greatly influenced by the flux type and between alcoholbased flux and a water-based one. The former has a shorter t 0 , less than half the value of the latter, for both of Sn-38%Bi-1.5%Sb-0.7%Ag and Sn-58%Bi.
Various studies about solder wetting properties and their analysis are reported by the authors, such as withdrawal force of wetting curve to calculate liquid solder surface tension (γ LF ) and contact angle (θ C ) between the wetting coupon derived as Equations (2) and (3) [58,59].
where F is measured by the wetting force, P is the perimeter of the specimen, H is the meniscus height, ρ is the density of the solder, and g is the gravity acceleration constant. The author [60] also studied wetting property in the solidification interval to evaluate the soldering feasibility below the liquidus temperature. The solidification interval is recommended to be <10 • C to achieve a defectless bonding interface. Larger solidification intervals lead to hot tearing during solidification at the solder joints. The Sn-3%Cu, Sn-7%Ag, and Sn-(10-60)% Pb showed good wettability even lower than liquidus temperature, but the wettability of low-temperature solder, Sn-65%Bi and Sn-40%In, is poor. Wetting properties of solder under fluxless state were reported previously by the author for the basic study of fluxless soldering [61][62][63]. Sn-57%Bi having 53.0 • wetting angle at 190 • C without flux showed better wettability on the Au/Cu/Cr-coated glass substrate compared to Sn-3.5%Ag of 67.2 • at 270 • C, Sn-5%Sb of 60.1 • at 290 • C, Sn-37%Pb of 69.4 • at 230 • C and non-wetted Sn-51% In solders. Generally, to achieve good solderability, the following conditions must be satisfied. (a) The molten solder wets the surface of the base metal where the recommendable zero-cross time is less than 1.0 s, and solder spreads out well with a contact angle less than 60 • on a substrate. (b) A capillary phenomenon in which molten solder is sucked in the gap between two base metals, which is the recommendable gap in this case, is less than 0.3 mm. (c) The diffusion, which is the interatomic transfer between the solder and the base metal surface, must occur quickly [64]. In Sn-Bi-Sb solder, if Sb is added lower than 2 wt%, then the wettability of Sn-48%Bi will be improved [43].
Meanwhile, the addition of In lower than 4% also enhances the wettability of Sn-(53-58)%Bi solder [18]. In addition, the spreading ratio of Sn-(53-58)% Bi solder decreased from 73% to 65% for 190 • C, from 70% to 63% for 170 • C with increasing In content up to 4% In element was confirmed to participate in the interfacial reactions forming Cu-Sn-In IMCs and affect the wettability of Sn-Bi solder on Cu substrates [16]. The addition of Bi up to 20% to Sn-3.5%Ag and Sn-8.2%Zn solders reduces the wetting time (zero-cross time) and wetting activation energy [65]. Sn-38%Bi-1.5%Sb-0.7Ag solder has better wettability in terms of the wetting time, namely shorter zero-cross time, than that of Sn-58%Bi solder. However, the maximum wetting force of both solder alloy is not very different [57].

Effect of Nanoparticle Addition on Wetting and Spreading Property of Sn-Bi Solder
Nanoparticles are also found to influence the wetting and spreading characteristics of SnBi solder. The addition of 2.5% Mo nanoparticle to Sn-Bi increases the wettability of the solder [66]. Sn-Bi solder with the Ni nanoparticle has a lower contact angle than that of Sn-Bi [67,68]. According to Liu et al [69], the wetting properties of the Sn-58Bi solders are significantly improved by the addition of Y 2 O 3 up to 1%, which means the spreading area heated at 175 • C increased approximately from 30 mm 2 to 36 mm 2 . However, it decreased when 3 wt%Y 2 O 3 is included. Too much nanoparticle content decreases spreadability because nanoparticles embedded into solder matrices inhibit the flow of molten solders by increasing its viscosity, which 'pins' the leading edge of the molten solder from further spreading. Thus, it can be said an abundance of nanoparticles in composite solders reduces the wettability of solder alloys. The addition of SnO 2 nanoparticles up to an optimal amount was beneficial for spreading and wetting properties as well, as an increase in nanoparticle addition decreases the zero cross time and increases the spreading ratio. Figure 2 shows the spreading area for the RE alloying and Ti nanoparticles. It can be seen that the addition of 0.1% of Ti nanoparticles decreases the spreading area whereas a similar addition level of RE (Ce and La) increases the spreading area. Thus, the favorability of additives for the wetting depends on the additive element and the addition level [70]. Yim et al. [71] reported a conductive adhesive bearing Sn-58%Bi solder powder with 0.03% MWCNT (Multi-walled carbon nanotube). Sn-58%Bi with MWCNT resulted in good wettability and solder fillet shape, but too much addition like 2% MWCNT gave a defect in the solder joint. that the addition of 0.1% of Ti nanoparticles decreases the spreading area whereas a similar addition level of RE (Ce and La) increases the spreading area. Thus, the favorability of additives for the wetting depends on the additive element and the addition level [70]. Yim et al. [71] reported a conductive adhesive bearing Sn-58%Bi solder powder with 0.03% MWCNT (Multi-walled carbon nanotube). Sn-58%Bi with MWCNT resulted in good wettability and solder fillet shape, but too much addition like 2% MWCNT gave a defect in the solder joint.

Effect of Alloying on the Sn-Bi Microstructure
Generally, the microstructure of Sn-58%Bi eutectic solder shows a lamellar mixture of a ductile β-Sn phase and a brittle Bi phase. Bi-rich phase is almost pure and Sn solubility in Bi is around 0.11 wt% at eutectic temperature, and at 25 °C 0.6 wt% [70,72] Meanwhile, Bi solubility in Sn is 21% at 139 °C and decreased to 4.5 wt% at 50 °C, and around 3.2 wt% or 2.0 wt% at 25 °C [72][73][74]. In general, the two phases of the β-Sn (Sn-rich) phase and the Bi-rich phase show a typical lamellar structure. However, at high cooling rates, regions discontinuous eutectic regions of random orientation appear in addition to the typical lamellar structure [75]. Figure 3a-d shows a SEM microstructure and elemental analysis of Sn-58Bi solder having lamellar eutectic Sn-rich and Bi phase. Figure 3e shows the Sn-Bi phase diagram. The alloying elements of solder have a lot of influence on the Sn-58%Bi microstructure. The microstructure of Sn-58%Bi-x% In alloys was investigated by Chen et al. [18]. The Sn-58%Bi solder microstructure was a typical lamellar eutectic structure that consists of alternated Bi and Sn phases. By adding In, the amount of spherical primary Snrich phase increases. Granulate Bi-In phases are formed by adding 4%In. The Bi-In particles were mainly distributed in the Sn matrix and along with the Bi phase [18].

Effect of Alloying on the Sn-Bi Microstructure
Generally, the microstructure of Sn-58%Bi eutectic solder shows a lamellar mixture of a ductile β-Sn phase and a brittle Bi phase. Bi-rich phase is almost pure and Sn solubility in Bi is around 0.11 wt% at eutectic temperature, and at 25 • C 0.6 wt% [70,72] Meanwhile, Bi solubility in Sn is 21% at 139 • C and decreased to 4.5 wt% at 50 • C, and around 3.2 wt% or 2.0 wt% at 25 • C [72][73][74]. In general, the two phases of the β-Sn (Sn-rich) phase and the Bi-rich phase show a typical lamellar structure. However, at high cooling rates, regions discontinuous eutectic regions of random orientation appear in addition to the typical lamellar structure [75]. Figure 3a-d shows a SEM microstructure and elemental analysis of Sn-58Bi solder having lamellar eutectic Sn-rich and Bi phase. Figure 3e shows the Sn-Bi phase diagram. The alloying elements of solder have a lot of influence on the Sn-58%Bi microstructure. The microstructure of Sn-58%Bi-x% In alloys was investigated by Chen et al. [18]. The Sn-58%Bi solder microstructure was a typical lamellar eutectic structure that consists of alternated Bi and Sn phases. By adding In, the amount of spherical primary Sn-rich phase increases. Granulate Bi-In phases are formed by adding 4%In. The Bi-In particles were mainly distributed in the Sn matrix and along with the Bi phase [18].
According to Sakuyama et al. [76], by the addition of 0.5 wt%Ag, a small amount of Ag3Sn IMC was produced and >1 wt%Ag, which results in the growth of Ag 3 Sn and reduction of ductility. The coarsening rate of the Bi-rich phase in the Sn-58%Bi solder joint under thermal aging at 120 • C is reduced by the addition of 1 wt% Cu [40]. The addition of 0.5 wt% of Sb to Sn-58%Bi refines the grain size of solder, and addition of 1% Sb produces SnSb IMC dispersed in the Sn phase near the grain boundaries of the eutectic structure. This SnSb IMC suppresses the growth of the eutectic structure, which results in a finer grain size and higher elongation [41]. Addition of 0.5 wt% Cu to Sn-58%Bi, produces dispersed Cu 6 Sn 5 IMC in the solder, but sometimes several tens of microns in size also reduces the grain size of Sn-58%Bi.
According to Mokhtari et al. [77], the thickness of the interfacial IMCs of the eutectic Sn-Bi solder, thermally aged at 80 • C up to 1008 h, is considerably greater than that of the 0.5 wt%In and 0.5 wt%Ni-bearing solder joints. Sn-58%Bi solder with 0.5 wt%Ni addition shows Ni 3 Sn 4 IMC in the eutectic structure, and it shows a regular eutectic area in the form of partly fishbone. Even Ni is added. The size of the Bi phase is slightly reduced compared to Sn-58%Bi. The Sn-58%Bi and 0.5%Ni-bearing solder show coarsened brittle Bi-rich phases, while there is no sign of Bi-phase coarsening in the 0.5%In-bearing solder. Addition of 0.5 wt% Zn to Sn-58%, where Zn exists as a needle-like shape, increases the grain size slightly compared to Sn-58%Bi. Zhou et al. [78] reported that both 0.5 wt% and 1 wt% Zn effectively refined the eutectic Sn-58%Bi alloy microstructure. This exhibits promising microstructural results and has a fractured path within the solder bulk [78][79][80]. In Sn-58Bi-0.5%Ti and Sn-58Bi-1%Ti solders, the matrix showed the irregular and regular eutectics, and the Sn-rich phase was easily observed, and microstructure, especially the Bi-rich phase, was refined. Mostly, smaller Ti6Sn5 IMCs were uniformly distributed in the Sn-58%Bi matrix [75]. Therefore, it can be said that grains are refined by adding 1 wt% of Ti, 0.5 wt% of Ag, Sb, In, Ni, or 0.5-1 wt% of Cu to Sn-58%Bi solder. Meanwhile, 0.5 wt% Zn addition can cause the growth of the grains of Sn-58%Bi solder. It is found that Cu reacts only with Sn in the Sn-Bi-Ag/Cu solder system, not with Ag or Bi [79]. Cu-Sn reaction is highly predomimant because of higher availability of Cu from the Cu substrate [80]. Because of the formation of the Cu6Sn5 IMC, Ag and Bi are expelled from the IMC reaction into the molten solder between the IMC scallops [52]. According to Sakuyama et al. [76], by the addition of 0.5 wt%Ag, a small amount of Ag3Sn IMC was produced and >1 wt%Ag, which results in the growth of Ag3Sn and reduction of ductility. The coarsening rate of the Bi-rich phase in the Sn-58%Bi solder joint under thermal aging at 120 °C is reduced by the addition of 1 wt% Cu [40]. The addition of 0.5 wt% of Sb to Sn-58%Bi refines the grain size of solder, and addition of 1% Sb produces SnSb IMC dispersed in the Sn phase near the grain boundaries of the eutectic structure. This SnSb IMC suppresses the growth of the eutectic structure, which results in a

Nanoparticles Effect on Sn-Bi Microstructure
Various types of nanomaterials, such as nanometal (Ni, Cu, etc.), nano-ceramic (Al 2 O 3 , SiC, etc.), or nano IMC (Cu 6 Sn 5 , etc.) powders are added to Sn-58%Bi solder. When the appropriate amount of nanoparticles is added, the solder grains become finer [27,67]. Nano-sized particles added to the solder act as nucleation sites in the matrix during the solidification of the solder. This makes the phase of the solder structure refined by acting as an inoculant to generate a lot of solid nuclei during solder solidification. In addition, the pinning of grain or IMC can also suppress its growth. According to Y. Lin et al. [81], addition of Ag nanoparticles to the Sn-58% Bi refined the solder matrix microstructure, suppressed the interfacial IMC growth. The improvement was different from the Ag particle size. The addition of 76-nm Ag nanoparticles generated the best improvement: refining the microstructure by 49.1% and reducing the Cu-Sn IMC growth exponent from 0.394 to 0.339, suppressing the IMC thickness by 39.7% after 180 min at 220 • C. The improvements obtained from both of larger (133 nm) and smaller (31 nm) Ag nanoparticles were much more imperceptible than those for 76-nm Ag nanoparticles. Figure 4 shows the interphase values upon nanoparticle addition. As can be seen, the interphase spacing is lower for the graphene, Cu, and Ni nanoparticles addition. The improvement mechanisms were explained by refinement.  Nano-particles in the solder is known to be absorbed to the surfaces of IMCs in the bulk or in the bonding interface and suppress the growth of the IMCs. The number of absorbed nano-particles on the IMC (changed grain > IMC) surface can be derived as Equation (4) [81]. (4) where, N ; amount of absorbed nano-particles per unit area, C, total amount of nano particles, RT, thermal energy per mol, γ , and surface energy of IMC surface without nanoparticles per unit area.
By integration, where, γ , the surface energy per unit area of the IMC (original equation, 'grain') adsorbed with nanoparticles, γ , and the surface energy per unit area of the IMC (original equation, 'grain') not adsorbed with nanoparticles. Meanwhile, the total surface energy can be expressed by Equation (6) [81]. Nano-particles in the solder is known to be absorbed to the surfaces of IMCs in the bulk or in the bonding interface and suppress the growth of the IMCs. The number of absorbed nano-particles on the IMC (changed grain > IMC) surface can be derived as Equation (4) [81].
where, N K ; amount of absorbed nano-particles per unit area, C, total amount of nano particles, RT, thermal energy per mol, γ K , and surface energy of IMC surface without nano-particles per unit area. By integration, where, γ K C , the surface energy per unit area of the IMC (original equation, 'grain') adsorbed with nanoparticles, γ K 0 , and the surface energy per unit area of the IMC (original equation, 'grain') not adsorbed with nanoparticles. Meanwhile, the total surface energy can be expressed by Equation (6) [81].
This is a constant, and the value must be increased or minimized surface energy. In other words, the grain growth rate should be decreased for maximum adsorption amount. However, in the case of an alloy containing an excessive amount of nanoparticles in the solder, the effect of adding nanoparticles is reduced due to agglomeration between nanoparticles, so that the suppression effect of the intermetallic compound and the β-Sn region in the alloy base decreases. However, when optimal nanoparticles are added to the solder, the grain size of the β-Sn in the solder also decreases. The reason can be that uniformly dispersed nanoparticles act as nucleation inoculants, which can suppress the growth of Sn grain. Similarly, A. Gain et al. [67] found that the β-Sn region and Ag3Sn were refined in the solder reinforced with nanoparticles of 0.5% Ni to Sn-35Bi-1Ag solder. The main reason can be that the nano Ni particles react with Sn to form Sn-Ni IMCs, and these IMC particles act as solid nucleation sites during solidification to inhibit grain growth. In addition, it was said that the addition of metal nanoparticles reduced the degree of supercooling to inhibit IMC growth and refine the structure. L. Zhang et al. [79] added 1-5 wt%Sn-3.0Ag-0.5 Cu (SAC) nanoparticles into a eutectic Sn-58%Bi solder paste. The Sn-Ag-Cu (SAC) nanoparticles refined the grain structure of the Sn-Bi solder. The reason is attributed to the presence of nanoparticles impediment to dislocation movement and pinning of grain boundaries to suppress the grain growth [82][83][84][85][86][87][88][89][90].
L. Shen et al. also studied the effect of Cu and Ni nanoparticles of 0.5 wt% to 4 wt% on the Sn-58Bi, and it was confirmed that the size of the phase of the solder matrix was decreased. The nanoparticles with 0.5 wt% give a great reduction of interphase spacing [27]. He et al. [87] reported the refinement effect of CNTs on the Sn-58%Bi solder when 0.03 wt% CNTs was added to Sn-58%Bi, the number of dendrites in composite solder reduces significantly, and the solder microstructure becomes finer because the CNTs can hinder grain growth. According to Yang et al., [90] Ni-coated carbon nanotubes (Ni-CNTs) with 0, 0.05, 0.1 and 0.2 wt% were added to Sn-58%Bi solder. The nano-composite solders exhibit finer microstructures when compared to the monolithic Sn-58%Bi solder. The reason can be attributed to the Ni 3 Sn 4 heterogeneous nucleation in the solder that prevents the growth of the reticular structure, and the dispersed CNTs can hinder grain growth. Li et al. [91] prepared composite solders of Sn-58%Bi with 0, 0.03, 0.05, and 0.1wt% Cu 6 Sn 5 nanoparticles. Addition of Cu 6 Sn 5 nanoparticles sized of 10 nm refines the microstructure of Sn-58%Bi solder, and solder with 0.05 wt% Cu 6 Sn 5 nanoparticles exhibited the best performance. Due to the refinement of the matrix phases, the strength of the solder increases, according to the Hall-Petch Equation (7) [92].
where, k u : Hall-Petch constant according to the material and d m : phase size of the solder matrix L. Shen et al. studied the effect of Cu and Ni nanoparticles on the Sn-58%Bi microstructure, where the Sn-58%Bi solder consists of Sn-rich and Bi-rich phases [27]. As the weight percentage of the nano-fillers increases, the size of interphase spacing (IPS) generally decreases. Sn-58%Bi has 2.62 µm of IPS, but the addition of 0.5-4% Cu gives 1.73-1.21 µm and the addition of 0.5-4% Ni shows 1.77-1.18 µm. From the above results, optimal addition of nanoparticles can refine grains of Sn-Bi solder. However, excessive addition can invalidate the added effect. This can be attributed to the agglomeration of nanoparticles reported in various studies [93][94][95][96][97][98][99]. Agglomeration of a nanoparticles in the solder causes serious impediment tot eh reliability [100][101][102][103][104][105][106][107][108][109][110][111][112]. A. El-Daly et al. [111] reported that the effect of the rotating magnetic field (RMF), which generates Lorentz forced flow during solidification, on the microstructure of Sn-20%Bi and Sn-20%Bi-0.4 Cu alloys. The RMF caused grain refinement, reduced the gravity-induced macro-segregation, eliminated surface pinholes and serious dendrite structure, increased the eutectic areas, and decreased the eutectic lamellar spacing. Lee et al. [113] added 0.5-g SiC nanoparticles, sized 45-55 nm, per 1 L of SnBi plating solution to make Sn-58%Bi solder by electroplating. Microstructural coarsening was suppressed by SiC nanoparticle addition. The amount of added SiC was 0.5 g per 1 L of SnBi plating solution. The average size of the Sn-58%Bi eutectic lamellar structure decreased 1.97 µm to 1.32 µm as soldered at 170 • C decreased by 32.9%. After aging at 100 • C for 400 h, the average eutectic size decreased from 4.59 µm to 2.37 µm, as much as 48.4% by adding SiC nanoparticles. Such refinement of a eutectic microstructure might have been due to the increased heterogeneous nucleation sites and impeded the phase or grain boundary movement by SiC nanoparticles [114][115][116]. Nanoparticles of oxides like ZrO 2 , CeO 2 , and Al 2 O 3 also reported to refine the solder microstructure [85][86][87][88].

IMC at the Interface of Sn-Bi Solder
During soldering, molten SnBi solder penetrates into the gap between the metal electrode of the electronic component and the metal pad of the printed circuit board (PCB) by capillary flow and gets wetted on the metal surface. Then diffusion of atoms occurs between solder and metal parts of the electronic component and PCB by a concentration gradient [93]. Cu/Sn diffusion couples at 190-220 • C were also reported by Onishi et al., and they evaluated the inter-diffusion coefficients for the Cu 6 Sn 5 and Cu 3 Sn IMCs [94]. The diffused atoms produce IMCs along the solder/Cu interface, and then bonding is completed as the molten solder solidifies [56]. The produced IMC along the bonding interface has a great influence on the mechanical strength and life of the soldered part. In the Sn-Bi solder/Cu substrate system, the interfacial IMC layer of η-phase (Cu 6 Sn 5 ) produces at the solder side, and the IMC layer of ε-phase (Cu 3 Sn) formed at the Cu side. The IMCs increase with temperature and time. Between the molten Sn-Bi solder and Cu substrate, the Cu 6 Sn 5 and Cu 3 Sn IMC grows parabolic from the beginning of the interfacial reaction at 250 • C [95]. The growth of the IMC layers consumes Sn atoms adjacent to the Cu 6 Sn 5 layer, which leads to the formation of a Bi-rich phase layer along the Cu 6 Sn 5 layer/solder interface after aging at 120 • C for 50 days [96,97]. At 120 • C, due to the 9 at%. solubility of Bi in Sn, Cu 6 (Bi, Sn) 5 IMC grows at the interface. However, during the Cu 6 Sn 5 to Cu 3 Sn transormation, the Bi phase is precipitated between Cu and Cu 6 Sn 5. This is because Cu 3 Sn IMC has lower Bi solubility as compared to Cu 6 Sn 5 IMC [97]. The crack propagated within IMC, between the Bi containing (Cu 6 (Sn, Bi) 5 ) and Cu 6 Sn 5 layer. The Bi-rich layer at the Cu 3 Sn/Cu interface of SnBi/Cu solder joints during the thermal aging process becomes a crack propagation path [10,88,98,99]. To suppress the Bi-rich layer, addition of Cu-X (Ag, Zn) to a substrate is useful. Furthermore, in Sn-58%Bi/Ni-P/Cu system, the Bi-containing layer was not observed since the Ni 3 Sn 4 growth rate was slower. Figure 5 shows the schematic illustration of interfacial IMC formation in the Sn58Bi solder on Cu and Ni-P Coated Cu substrates.
By adding 0.5 wt% of In to Sn-58%Bi solder and reflowed at 170 • C, it is possible to suppress Bi coarsening and excessive Cu 6 Sn 5 IMC formation at the interface between the solder and Cu substrate [77]. Sn-rich and Bi-rich phases show interlocked lamellar structures, and In was detected in the Sn phase. In atoms tend to replace the Sn atom and form Cu 6 (Sn, In) 5 IMC. Conversely, when 0.5%Ni was added, Ni appeared to be included in the Bi-phase [109]. The addition of 0.5 wt% Ni to Sn-Bi solder can also give a similar IMC suppression. However, Ni atoms tend to replace the Cu atom and form (Cu, Ni) 6 Sn 5 IMC with a lower growth constant [67,77].
The effect of Ni on the interfacial IMC of Sn-35%Bi-1%Ag between the Cu substrate is reportedly maintained at 200 • C for 30 min [67]. Ni suppressed IMC growth, namely, the thickness of the (Cu 6 Sn 5 +Cu 3 Sn) IMC layer of Sn-35%Bi-1%Ag-0.5%Ni and the Sn-35%Bi-1%Ag, which is about 3 µm and 4.8 µm, respectively. The growth rate of the IMC layer in the Sn-Bi-Ag on the Ni/Cu substrate decreased about 17.9% as compared to Sn-35%Bi-1%Ag/Cu system after a reaction at 200 • C for 5 min. In addition, the thickness of the IMC at the interface with Cu increased with increasing bonding temperature and the holding time at the bonding temperature. Meanwhile, according to F.Q. Hu et al. [100], various alloying elements have been added into the SnBi solder to suppress the IMC growth at the SnBi/Cu interface, and the elements can suppress the IMC growth only when they can form IMC with Cu, while the Ag addition cannot clearly slow down IMC formation [100][101][102]. By adding some alloying elements to the Cu substrate, the growth rate of IMC can usually be suppressed by decreasing the activity of Cu atoms [36,103,104].
has a great influence on the mechanical strength and life of the soldered part. In the Sn-Bi solder/Cu substrate system, the interfacial IMC layer of η-phase (Cu6Sn5) produces at the solder side, and the IMC layer of ε-phase (Cu3Sn) formed at the Cu side. The IMCs increase with temperature and time. Between the molten Sn-Bi solder and Cu substrate, the Cu6Sn5 and Cu3Sn IMC grows parabolic from the beginning of the interfacial reaction at 250 °C [95]. The growth of the IMC layers consumes Sn atoms adjacent to the Cu6Sn5 layer, which leads to the formation of a Bi-rich phase layer along the Cu6Sn5 layer/solder interface after aging at 120 °C for 50 days [96,97]. At 120 °C, due to the 9 at%. solubility of Bi in Sn, Cu6(Bi, Sn)5 IMC grows at the interface. However, during the Cu6Sn5 to Cu3Sn transormation, the Bi phase is precipitated between Cu and Cu6Sn5. This is because Cu3Sn IMC has lower Bi solubility as compared to Cu6Sn5 IMC [97]. The crack propagated within IMC, between the Bi containing (Cu6(Sn, Bi)5) and Cu6Sn5 layer. The Bi-rich layer at the Cu3Sn/Cu interface of SnBi/Cu solder joints during the thermal aging process becomes a crack propagation path [10,88,98,99]. To suppress the Bi-rich layer, addition of Cu-X (Ag, Zn) to a substrate is useful. Furthermore, in Sn-58%Bi/Ni-P/Cu system, the Bi-containing layer was not observed since the Ni3Sn4 growth rate was slower. Figure 5 shows the schematic illustration of interfacial IMC formation in the Sn58Bi solder on Cu and Ni-P Coated Cu substrates.
By adding 0.5 wt% of In to Sn-58%Bi solder and reflowed at 170 °C, it is possible to suppress Bi coarsening and excessive Cu6Sn5 IMC formation at the interface between the solder and Cu substrate [77]. Sn-rich and Bi-rich phases show interlocked lamellar structures, and In was detected in the Sn phase. In atoms tend to replace the Sn atom and form Cu6(Sn, In)5 IMC. Conversely, when 0.5%Ni was added, Ni appeared to be included in the Bi-phase [109]. The addition of 0.5 wt% Ni to Sn-Bi solder can also give a similar IMC suppression. However, Ni atoms tend to replace the Cu atom and form (Cu, Ni)6Sn5 IMC with a lower growth constant [67,77].
The effect of Ni on the interfacial IMC of Sn-35%Bi-1%Ag between the Cu substrate is reportedly maintained at 200 °C for 30 min [67]. Ni suppressed IMC growth, namely, Bi segregation around the SnBi/Cu interface after long-term aging can cause serious interfacial embrittlement [104,105]. However, according to F.Q. Hu et al. [100], the Ag element in the solder diffuses into the Cu substrate during the soldering and aging process for 21days and produces a Cu-Ag layer at the interface. Resultantly, the Bi segregation at the SnBiAg/Cu joint interface was suppressed, and the aging embrittlement at long-term aged SnBi/Cu will not occur. Shin et al. [106] studied the interfacial IMC between Sn-58%Bi solder paste and ENIG (5 µm of Ni-P, 0.15 µm of Au layer) finished Cu-pad PCB. Figure 6 shows the cross-sectional SEM micrographs of the solder joints between Sn-58%Bi solder and Electroless nickel immersion gold (ENIG) finished substrate after aging at 125 for 0, 30, and 100 h. The thickness of interfacial IMC is seen to increase with the aging time.  [100][101][102]. By adding some alloying elements to the Cu substrate, the growth rate of IMC can usually be suppressed by decreasing the activity of Cu atoms [36,103,104]. Bi segregation around the SnBi/Cu interface after long-term aging can cause serious interfacial embrittlement [104,105]. However, according to F. Q. Hu et al. [100], the Ag element in the solder diffuses into the Cu substrate during the soldering and aging process for 21days and produces a Cu-Ag layer at the interface. Resultantly, the Bi segregation at the SnBiAg/Cu joint interface was suppressed, and the aging embrittlement at long-term aged SnBi/Cu will not occur. Shin et al. [106] studied the interfacial IMC between Sn-58%Bi solder paste and ENIG (5 µm of Ni-P, 0.15 µm of Au layer) finished Cu-pad PCB. Figure 6 shows the cross-sectional SEM micrographs of the solder joints between Sn-58%Bi solder and Electroless nickel immersion gold (ENIG) finished substrate after aging at 125 for 0, 30, and 100 h. The thickness of interfacial IMC is seen to increase with the aging time. Similarly, Sn58Bi solder paste was reflowed at 170 ℃ to make a spherical shape bump on the ENIG and aged at 125 °C up to 1000 h. The IMC thickness grew to 3.3 µm after 500 h and about 4 µm after 1000 h isothermal aging treatment. IMC thickness growth at the interface is given by Equation (8) [117].  Similarly, Sn58Bi solder paste was reflowed at 170°C to make a spherical shape bump on the ENIG and aged at 125 • C up to 1000 h. The IMC thickness grew to 3.3 µm after 500 h and about 4 µm after 1000 h isothermal aging treatment. IMC thickness growth at the interface is given by Equation (8) [117].
where X is the total IMC thickness, X 0 is the initial IMC thickness, t is the time, and D is the diffusion coefficient of Cu and Sn atoms. Apart from Equation (7), Li et al. suggested that the mean thicknesses, x, of Cu 6 Sn 5 can be described using the following equations [118].
where t is the storage time, t 0 and x 0 are, respectively, the time and mean thickness at the transition point, and K 1/3 and K 1/2 are two growth rate constants. The growth rate constants are given by Equation (11) [118].
where A is a constant, E a is the activation energy, R is the ideal gas constant, and T is the absolute temperature. Y. Kim et al. [117] reported the IMC morphologies at the interface of Sn-58% Bi paste/Cu pad reflowed at 190 • C, where the PCB surface treatments on the Cu pad were OSP (organic solder preservative), ENIG, and ENEPIG (Electroless Nickel Electroless Palladium Immersion Gold) of the substrate [117]. In the case of OSP, spherical micro-particles of Cu-Sn IMC (Cu 6 Sn 5 ) were formed, and the size of spherical Cu 6 Sn 5 particles, of several µm, did not change significantly even after 300-h and 1000-h aging.
On the other hand, in the case of ENEPIG, coarse rod-shaped Ni 3 Sn 4 IMC was formed at the initial stage of bonding, and after 300-h and 1000-h aging, changed to (Ni, Pd) 3 (Sn, Bi) 4 IMC. The IMC size did not grow considerably, but fine irregularities appeared on the surface. In the case of ENIG, polygonal Ni 3 Sn 4 IMC was formed in a soldered state and (Au, Ni) (Sn, Bi) 4 IMC was slightly grown after 300 and 1000 h aging at 85 • C. Figure 7a shows the IMC thickness of Sn-Bi alloys with the addition of nanoparticles. According to Yang et al. [90], by the addition of Ni-coated CNT, the IMC layers in Sn-58%Bi/Cu and Sn-58%Bi-CNT/Cu interfaces changed from a scallop-type Cu 6 Sn 5 to a thin layer (Cu, Ni) 6 Sn 5 .
As the Ni-CNTs increase to 0.1 wt% and 0.2 wt%, the thickness of the IMC layer reduces. The transformation mechanism is explained to be the excrescent Ni-CNTs, which act as pin sites and restrain the diffusion of Sn atoms toward the interface [107]. Furthermore, IMC growth with multiple cycles proves to be beneficial for Ti [41] and ZnO [84] nanoparticles in addition to the Sn-Bi solder, as shown in Figure 7b.

Mechanical Property of Sn-Bi Solder
According to Shimokawa et al. [108], Sn-57%Bi-1%Ag had higher tensile strength than that of Sn-37%Pb, close to 60 MPa for Sn-57%Bi-1Ag and around 35 MPa for Sn-37%Pb. However, in elongation Sn-37%Pb of slightly more than 40% is a little better than Sn-57%Bi-1%Ag having a little lower than 40%. Mokhtari et al. [77] reported that the addition of 0.5 wt% In or Ni to sn-58%Bi did not significantly affect the Young's modulus. When 0.5 wt% Ni is added to Sn-58%Bi, the tensile strength slightly increases, but both of Sn-58%Bi and Sn-58%Bi-0.5% Ni have higher tensile strength than 50 MPa, and the difference is not large. However, Sn-58%Bi-0.5%In having around 45 MPa showed lower tensile strength than that of Sn-58%Bi. In terms of elongation, Sn-58%Bi-0.5%In showed the highest value of around 65%, and was followed by Sn-58%Bi around 35% and Sn-58Bi-0.5%Ni approximately 15%. When 0.5 wt% Ni was added, the Sn-58%Bi elongation decreased drastically due to the formation of Ni3Sn4 IMC in the solder. On the other hand, when 0.5 wt% In was added, the ductile fracture surface with dimples were observed. Chen et al. [17] reported that tensile strength changed slightly with increases in addition to Sn-(53-58)%Bi, which means tensile strength decreased from approximately 72 MPa to 68 MPa up to 3% In, and increased to 69 MPa at 5% In. Meanwhile the elongation increased remarkably from 20% to 45% by adding 2.5% In, but decreased to 15% by adding 5% In. The coarsening of the Bi phase and larger inter-lamellar spacing lead to the deterioration of ductility when adding more than 2.5% In. According to S. Sakuyama et al. [110] in eutectic Sn-Bi solder with 0.5 wt% Ag, Cu, Zn, and Sb, the tensile strength, approximately between 70 MPa and 80 MPa, does not show major differences with the added elements. However,

Mechanical Property of Sn-Bi Solder
According to Shimokawa et al. [108], Sn-57%Bi-1%Ag had higher tensile strength than that of Sn-37%Pb, close to 60 MPa for Sn-57%Bi-1Ag and around 35 MPa for Sn-37%Pb. However, in elongation Sn-37%Pb of slightly more than 40% is a little better than Sn-57%Bi-1%Ag having a little lower than 40%. Mokhtari et al. [77] reported that the addition of 0.5 wt% In or Ni to sn-58%Bi did not significantly affect the Young's modulus. When 0.5 wt% Ni is added to Sn-58%Bi, the tensile strength slightly increases, but both of Sn-58%Bi and Sn-58%Bi-0.5% Ni have higher tensile strength than 50 MPa, and the difference is not large. However, Sn-58%Bi-0.5%In having around 45 MPa showed lower tensile strength than that of Sn-58%Bi. In terms of elongation, Sn-58%Bi-0.5%In showed the highest value of around 65%, and was followed by Sn-58%Bi around 35% and Sn-58Bi-0.5%Ni approximately 15%. When 0.5 wt% Ni was added, the Sn-58%Bi elongation decreased drastically due to the formation of Ni 3 Sn 4 IMC in the solder. On the other hand, when 0.5 wt% In was added, the ductile fracture surface with dimples were observed. Chen et al. [17] reported that tensile strength changed slightly with increases in addition to Sn-(53-58)%Bi, which means tensile strength decreased from approximately 72 MPa to 68 MPa up to 3% In, and increased to 69 MPa at 5% In. Meanwhile the elongation increased remarkably from 20% to 45% by adding 2.5% In, but decreased to 15% by adding 5% In. The coarsening of the Bi phase and larger inter-lamellar spacing lead to the deterioration of ductility when adding more than 2.5% In. According to S. Sakuyama et al. [110] in eutectic Sn-Bi solder with 0.5 wt% Ag, Cu, Zn, and Sb, the tensile strength, approximately between 70 MPa and 80 MPa, does not show major differences with the added elements. However, elongation improved with the addition of 0.5 wt% Ag, Cu, Zn, and Sb. Especially, 0.5 wt% Sb addition gives much larger elongation of 40% compared to Sn-58%Bi of 10% and both Ag and Cu have around 20%. According to Silva et al. [119], among Sn-34Bi, Sn-34Bi-0.1Cu, Sn-34Bi-0.7Cu and Sn-33Bi-2Ag (all in wt%) solders, the addition of 0.1Cu increased the ductility for λ 2 (secondary dendritic arm spacing) < 14 µm while preserving the tensile strength. Meanwhile, solders containing 0.7% Cu and 2.0% Ag showed lower tensile properties and lower ductility. Wang et al. investigate Sn-38%Bi-0.7%Ag-xSb (x = 0.5-2.5) system with the melting point ranging from 143 • C to 147 • C similar to Sn-58% Bi, but lower Bi content, which may decrease embrittlement [57]. They found that quaternary Sn-38% Bi-1.5% Sb-0.7% Ag solder had a higher tensile strength but similar elongation compared with Sn-58% Bi solder due to the finely distributed SnSb and Ag 3 Sn intermetallic compounds in the solder matrix. The Sn-38%Bi-1.5%Sb-0.7%Ag solder joints exhibited a lower IMC growth rate during aging 125 • C up to 40 days, which presented a superior high temperature stability.
According to A. El-Daly et al. [111], RMF (rotating magnetic field) can improve ductility of Sn-20%Bi-0.4Cu solder, although the values of UTS (ultimate tensile strength), YS (yield strength), and YM(Young's modulus) are decreased by 9.5%, 9.7%, and 9.9%, respectively, compared to non-RMF solder. The higher ductility and lower strength may be attributed to the drastic decrease in the number of coarse Cu 6 Sn 5 phases by RMF application. Additionally, another reason can be the reduction of fine dot Bi precipitates, which are replaced by the lamellar eutectic structure. Furthermore, the high fraction of primary β-Sn phase decreases the elastic modulus and YS, which create a soft and highly compliant bulk solder. Sn-Bi-Cu has enhanced ductility due to finely dispersed Cu 6 Sn 5 in the solder matrix. Ductility of Sn-40%Bi-0.1%Cu showed 2.5 times higher than that of Sn-37%Pb [112].
Mokhatari et al. observed that, after aging at 80 up to 1008 h, the fracture of Sn-58%Bi solder joints was along the Sn-Cu IMCs as a partial fracture path. Meanwhile, Sn-58%Bi solder joints with 0.5 In and 0.5 Ni added. It was confirmed that the fractured along bulk solder by suppressing the growth of IMC at the solder/Cu interface [77]. According to Shen et al. [19], by the addition of Zn and Cu, the tensile strength of Sn-Bi solder was enhanced. That is, Sn-40%Bi-2%Zn-0.1%Cu solder had the highest UTS of 89.31 MPa, Sn-40%Bi-0.1%Cu of 82.45 MPa, and Sn-58%Bi of 73.24 MPa. The reason of increased strength can be that addition of Zn the solder produced uniform spheroidal shape of CuZn 2 particles that capture the moving dislocation and for dislocations piling up and fine needle-shape Zn [113,114]. Figure 8a shows the tensile strength of Sn58Bi solder upon the addition of various alloying elements. It can be seen that, Cu and Zn co-addition contributed to the highest tensile strength followed by Sb and Ag addition. S. Zhou et al. [120] reported the effects of Ti addition, 0.5 wt% and 1 wt%, on the tensile strength of eutectic Sn-58%Bi solder alloys. The ultimate tensile strength and yield strength increased, but elongation decreased with increasing Ti content. The highest YS (48.95 MPa) and UTS (57.97 MPa) were obtained for the Sn-58%Bi-1%Ti solder. These values were maintained almost constant in Ti-containing Sn-58% Bi samples even aging time increased to 1008 h at 80 • C. The increased tensile strength was attributed to the grain refinement and Hall Petch relationship. The fracture path of eutectic Sn-58%Bi changed from the eutectic cell before aging in the Bi-rich phase after 1008-h aging, which results in decreased elongation. However, no clear path change was observed in the Ti-added Sn-58%Bi.
Zhou et al. [78] reported that both 0.5 wt% and 1 wt% Zn before and after thermal aging improved elongation and UTS of eutectic Sn-58%Bi alloy. For the creep property of Sn-57%Bi-1%Ag solder, Sn-57%Bi-1%Ag was better than Sn-37%Pb under 100 • C [108]. In thermal cycle property, after 1000 cycles in the range of 0-90 • C, Sn-57%Bi-1%Ag had a shorter crack (mostly shorter than 40 µm) than Sn-37%Pb (mostly between 40 µm and 160 µm), which indicates Sn-57%Bi-1%Ag is regarded as an effective one for low temperature soldering.  Lee et al. added SiC nanoparticles into Sn-58%Bi solder by electroplating. The shear strength of Sn-58%Bi+nano SiC solder bumps was higher than Sn-58%Bi solder bumps [115]. The increased shear strength was attributed to grain refinement and dispersion hardening by SiC particle dispersion. The amount of Cu diffusion in a Bi-rich phase was higher than that of the Sn-rich phase. According to Li et al., comparing with the monolithic Sn-58%Bi sample, the tensile strength of the composite solders with nano Cu6Sn5 gave lower values but higher elongations and fracture surface changes from brittle to ductile ways. The nano-indentation test shows the creep resistance of Sn-58%Bi-nano Cu6Sn5 is enhanced [91]. Presence of harder nanoparticles can increase the load carrying ability and ehnace the joint reliability [122]. However, due to their high surface energy, nanoparticles increase the probability of agglomeration with each other in the solder matrix. Such nonuniform dispersion and aggregation of nanoparticles degrades the reliability of the solder matrix [123][124][125][126], an optimal content evaluation for each nanoparticle should be made. Strengthening the effect by adding nanoparticles can be obtained by the following factors.
1. Increase of load-carrying ability by the harder nanoparticles than solder matrix (∆σ ). Solder-containing hard particles is a composite solder and strength of the composite solder is given as a rule of the mixture (13) [122].

Nanoparticle Addition on the Mechanical Property of the Sn-Bi Solder
The effects of Ag nanoparticle sizes on the mechanical properties of Sn-58%Bi nanocomposite solder alloy were studied. Adding Ag nanoparticles to the Sn-58%Bi enhanced the microhardness and reinforced the joint shear strength [121]. The extent of the improvement differed from the size of the doped Ag particles. In this work, the addition of 76-nm Ag nanoparticles generated the best improvement: enhancing the microhardness by 12.2% for the as-prepared solder and reinforcing shear strength by 18.9% after a 180-min liquid reaction at 220 • C. The improvements obtained from the addition of both larger (133 nm) and smaller (31 nm) Ag nanoparticles were much more clear than those for 76-nm Ag nanoparticles. According to Yang et al. [90], 0.05-0.2% Ni-coated carbon nanotubes (Ni-CNTs) reinforced Sn-58%Bi. By the addition of 0.05% and 0.1% Ni-CNT, the microstructure becomes finer when compared to Sn-58%Bi. When 0.05% CNT is added, the tensile strength enhanced by the CNT bridging effect and load transfer, and also creep property of Ni-CNT bearing solders are improved significantly. However, mechanical properties and the microstructure are deteriorated when the content of Ni-CNTs exceeds 0.05%. Shen et al. [27] reported that the elastic modulus and hardness increased with the addition of 0.5-4 wt% of Cu and of Ni nanoparticles to the Sn-58Bi. The enhancement in hardness is significant, in which 4wt% of Cu and Ni addition has increased the hardness of the Sn-58%Bi (287.3 MPa) by 16% and 23%, respectively. The Cu and Ni nanoparticles demonstrate a similar strengthening effect, in which 4 wt% filler addition increases the elastic modulus of the Sn-58%Bi solder (38.4 GPa) slightly by 8-12%. The moduli of the composite solder can be given as Equation (12) [27].
where E m and E p are the modulus of the solder matrix and of the particle (IMC and nanoparticles), respectively. V m and V p are a volume fraction of the solder matrix and of particle and K is empirically determined in the range of 0 to 1. With the addition of nano-Cu or Ni to Sn-58%Bi, the creep rate reduces significantly (creep resistance increases) and achieved the best creep resistance when nanoparticle Cu content was 3 wt% and Ni, 1 wt% [27]. Figure 8b shows the shear strength from the literature for various additives to the Sn-Bi solder. It can be seen that the addition of additives up to an optimum level enhances the shear strength of the Sn-Bi solder. Lee et al. added SiC nanoparticles into Sn-58%Bi solder by electroplating. The shear strength of Sn-58%Bi+nano SiC solder bumps was higher than Sn-58%Bi solder bumps [115]. The increased shear strength was attributed to grain refinement and dispersion hardening by SiC particle dispersion. The amount of Cu diffusion in a Bi-rich phase was higher than that of the Sn-rich phase. According to Li et al., comparing with the monolithic Sn-58%Bi sample, the tensile strength of the composite solders with nano Cu 6 Sn 5 gave lower values but higher elongations and fracture surface changes from brittle to ductile ways. The nano-indentation test shows the creep resistance of Sn-58%Bi-nano Cu6Sn5 is enhanced [91]. Presence of harder nanoparticles can increase the load carrying ability and ehnace the joint reliability [122]. However, due to their high surface energy, nanoparticles increase the probability of agglomeration with each other in the solder matrix. Such nonuniform dispersion and aggregation of nanoparticles degrades the reliability of the solder matrix [123][124][125][126], an optimal content evaluation for each nanoparticle should be made. Strengthening the effect by adding nanoparticles can be obtained by the following factors.
1. Increase of load-carrying ability by the harder nanoparticles than solder matrix (∆σ Load ). Solder-containing hard particles is a composite solder and strength of the composite solder is given as a rule of the mixture (13) [122].
4. Strengthening by the grain or phase refinement (Hall-Petch effect) (∆σ Hall−Petch ) (7) [125] where k y and β are constants, G m is the shear modulus of the matrix, b is the Burgers vector of the pure matrix, V p and d p are the volume fraction and diameter of nanoparticles, d m is the grain size of the matrix, σ mo is the yield strength of the unreinforced pure matrix, ∆σ is the CTE difference between the matrix and nanoparticle, and ∆T is the difference between the processing and the test temperatures.

Epoxy Reinforced Sn-Bi Solder
Epoxy-containing solder alloys were subjected to numerous studies [30][31][32][33]. Among them, Sn-Bi solder with epoxy is quite meaningful because epoxy can mechanically support low-temperature solder. The advantages offered by epoxy-based bonding solders are as follows [30].

1.
The curing temperature of epoxy is much lower than the reflow temperatures of solders (80-150 • C).

3.
High reliability during thermal cycling is beneficial for automotive electronics.

4.
High surface insulation resistance (SIR) due to the presence of epoxy envelope protects the joint from environmental oxidation.

5.
No-clean technology. It provides a clean joint without residues and, hence, washing is not necessary after reflow. 6.
The epoxy film over the bumps resides at the necks of the solder bumps and prevents the short-circuiting and corrosion of joints after reflowing.
However, the disadvantages also persist in epoxy-based bonding solders. The bonded structure cannot be easily reworked or disassembled by application of heat and force. In addition, epoxy provides a chemical or mechanical bonding that may have different strength compared to a metallurgical bond. The high rigidity of epoxy joints causes problems in packages with a large die and flexible PCBs. Unavoidably, the CTE mismatch between die and epoxy induce stresses in the solder joint [30]. Yim et al. [32] studied the effect of a reductant concentration on wetting of Sn-58%Bi in the solderable polymer composites (SPCs). Sn58%Bi with 15% epoxy showed excellent coalescence and wetting behaviors for the Cu metallization. Figure 5 shows the reflow temperature profile, schematic soldering, and reflowed bump images of the epoxy solder paste (ESP) containing Sn-58%Bi. When the epoxy solder was reflowed at 150 • C, and Sn-58%Bi powder melted first and wetted on the Cu substrate to form a bump. The resin floated over the melted solder hardened afterward, as shown in Figure 9. Using the ESP, electronic parts were soldered on PCB, as given in Figure 10. Residuefree clean joints can be observed. Meanwhile, epoxy coating over the solder is confirmed in Figure 10b. Transparent shiney-coated epoxy was observed in Figure 10 c,d. The shear force and shear fracture energy of Sn-58%Bi epoxy solder bumps were compared to Sn-58% Bi and SAC305 by K. Kim et al. [117] where the height of the bumps was 180 µm. The epoxy added Sn-Bi solder bumps had asignificantly higher fracture energy than the Sn-Bi solder. This is attributed to the support provided by the epoxy around the fillet. In addition, the epoxy containing Sn-Bi solder has a significant advantage during aging. It was observed that epoxy containing Sn-Bi solder bump can retain a shear strength higher than the monolithic Sn-Bi solder bump even after 1000 h of the thermal cycle, as shown in Figure 11 [117]. Using the ESP, electronic parts were soldered on PCB, as given in Figure 10. Residuefree clean joints can be observed. Meanwhile, epoxy coating over the solder is confirmed in Figure 10b. Transparent shiney-coated epoxy was observed in Figure 10c,d. The shear force and shear fracture energy of Sn-58%Bi epoxy solder bumps were compared to Sn-58% Bi and SAC305 by K. Kim et al. [117] where the height of the bumps was 180 µm. The epoxy added Sn-Bi solder bumps had asignificantly higher fracture energy than the Sn-Bi solder. This is attributed to the support provided by the epoxy around the fillet. In addition, the epoxy containing Sn-Bi solder has a significant advantage during aging. It was observed that epoxy containing Sn-Bi solder bump can retain a shear strength higher than the monolithic Sn-Bi solder bump even after 1000 h of the thermal cycle, as shown in Figure 11 [117]. 58% Bi and SAC305 by K. Kim et al. [117] where the height of the bumps was 180 µm. The epoxy added Sn-Bi solder bumps had asignificantly higher fracture energy than the Sn-Bi solder. This is attributed to the support provided by the epoxy around the fillet. In addition, the epoxy containing Sn-Bi solder has a significant advantage during aging. It was observed that epoxy containing Sn-Bi solder bump can retain a shear strength higher than the monolithic Sn-Bi solder bump even after 1000 h of the thermal cycle, as shown in Figure 11 [117].  Similarly, with the addition of epoxy, the drop property Sn-58%Bi was improved drastically and almost two times of SAC305. It was found that the number of drop impacts coincided with the shear failure energy trend [31]. Lee et al. [29] investigated the drop reliability of epoxy-containing Sn-58%Bi solder joints with various surface finishes in the board level. The presence of epoxy in the Sn-58%Bi solder slightly improved the drop reliability for ENIG and ENEPIG surface finishes compared to the Sn-58%Bi solder joints without epoxy. The presence of epoxy significantly improved the drop reliability for the OSP surface finish. The drop reliability of the Sn-58%Bi joint with the ENIG and ENEPIG surface finishes decreased with an increasing number of reflow, while the drop reliability with OSP surface finishes improved. The drop reliability of the Sn-58%Bi joints with OSP was superior to those with ENIG and ENEPIG due to relatively strong adhesion between the solder/Cu6Sn5 IMC/Cu substrate and the absence of a brittle Ni-P layer in the OSP joint.

Conclusions
In this paper, the effect of alloying elements and nanoparticle addition to the low- Figure 11. Shear strength of Sn-58% Bi and Sn-58% Bi epoxy solder with various surface finishes and aging time, reproduced from [117]., with permission from ISMP, 15-16 October 2014. Similarly, with the addition of epoxy, the drop property Sn-58%Bi was improved drastically and almost two times of SAC305. It was found that the number of drop impacts coincided with the shear failure energy trend [31]. Lee et al. [29] investigated the drop reliability of epoxy-containing Sn-58%Bi solder joints with various surface finishes in the board level. The presence of epoxy in the Sn-58%Bi solder slightly improved the drop reliability for ENIG and ENEPIG surface finishes compared to the Sn-58%Bi solder joints without epoxy. The presence of epoxy significantly improved the drop reliability for the OSP surface finish. The drop reliability of the Sn-58%Bi joint with the ENIG and ENEPIG surface finishes decreased with an increasing number of reflow, while the drop reliability with OSP surface finishes improved. The drop reliability of the Sn-58%Bi joints with OSP was superior to those with ENIG and ENEPIG due to relatively strong adhesion