研究生: |
李原吉 Y.G. Lee |
---|---|
論文名稱: |
無鉛銲錫接點反應層之擴散動力學與界面遷移 Diffusional Kinetics and Interface Migration of the Reaction Layers in the Unleaded Solder Joint |
指導教授: |
杜正恭
J.G. Duh |
口試委員: | |
學位類別: |
博士 Doctor |
系所名稱: |
工學院 - 材料科學工程學系 Materials Science and Engineering |
畢業學年度: | 87 |
語文別: | 英文 |
論文頁數: | 203 |
中文關鍵詞: | 無鉛銲錫 、介金屬化物 、金屬化層 、擴散控制 、晶界擴散 、互擴散 、介穩相 |
外文關鍵詞: | unleaded solder, intermetallic compound, metallization, diffusion-controlled, grain boundary diffusion-controlled, interdiffusion, metastable phase |
相關次數: | 點閱:137 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本論文所研究的重點是有關於微電子構裝中銲接點界面微結構變化所衍生之銲接點可靠度之問題。在環保概念抬頭、金屬化層之電致遷移問題(electromigration)日趨嚴重的今天,銲錫與金屬化層接合体(joint assembly)中(無鉛銲錫/金屬化層)是一典型的代表,而在一些加速時效(thermal aging)實驗後之機性測試,如剪切應力(shear stress)、拉力試驗(pull-off)、冷熱循環測試(thermal cycling)中,均顯示銲錫/金屬化層之界面斷裂(interfacial fracture)佔整体破壞比例中的大部分。究其原因,實因銲錫/金屬化層界面微結構變化所致,其中介金屬(intermetallic compound)的形成更影響其斷裂機制。
在本論文前半段之研究中,係以熱浸漬(hot dipping)的方法製作無鉛銲錫/金屬化層接合体,經熱時效試驗後,經由界面處表面形貌(interfacial morphology)的研究對介金屬化層作一系列的研究。發現其成長之機制是屬擴散控制(diffusion-controlled),且其擴散係數(diffusivity)之活化能可藉由阿倫尼亞斯(Arrhenius)定律求得,而其介金屬層的厚度亦可經由數值分析的方法求得。至於銅及錫之元素濃度分布則可藉誤差函數(error function)做各區段的最適化,並經由Matano plane的訂定將原始之銲錫金屬化層界面求出。
論文之第二部份係以一些理論的模式將介金屬層之形成與成長作特性化(characterizatic)描述,經化簡後,以Gosele之理論代入,證明本研究中之銲錫/金屬化層組合界面處之兩種介金屬層均會成長。除此之外,再以Shatynski之模式驗證兩種金屬化層的厚度,是故本實驗所用的銲錫/金屬化層之接合体的衍進可與理論推導相配合。
第三部份則嘗試以統計的半定量量測結果來界定反應層各個相的界面,以電子微探儀中"相分析"(phase analysis)的軟體做輔助工具,代之以理論的推導後得到誤差小於5 %的精確結果,可有效地解決長久以來由於相變化(phase transformation)所形成之相界不明的問題。
第四部份中闡述了一種將介金屬化層厚度作精確量測的方法,經統計之分佈驗證其厚度之分佈是呈常態分配(normal distribution),可藉由單次的二維面積量測取代一維的多次量測,而得到其真正的均值(mean),與傳統之多次一維量測比較,發覺其量測誤差呈指數型降低(exponential decay),根據這些指數函數的參數可以訂定一套更精確且省時的量測技術。
最後係以錫-銀及錫-銀-鋅兩種無鉛銲錫與鉑-銀/氧化鋁及銅/氧化鋁兩種作接合体,發覺其成長之動力學(kinetics)有別於前段(Sn/IMCs/Cu block joint assembly)之擴散控制之機制,經與實驗數據作最適化,發覺介金屬成長機制對錫-銀/鉑-銀/氧化鋁及錫-銀/銅/氧化鋁為晶界擴散控制(grain-boundary-diffusion controlled),而錫-銀-鋅/鉑-銀/氧化鋁及錫-銀-鋅/銅/氧化鋁則分別為非平面化擴散機制(nonplanar diffusion-controlled)及平面化擴散機制(planar diffusion-controlled).
The development of the microstructure at the solder/metallization on solder/substrate interface significantly affects the mechanical properties of the joint assembly, and the degradation of the mechanical properties of the solder joint is caused by the formation of the intermetallic compound (IMC) during both the soldering and aging processes. Investigation concerning the growth kinetics, thermodynamics, and phase transformation related to the IMC, therefore, dominate the critical evaluation of the solder joint reliability in the microelectronic packaging.
In the first phase of this research, a joint assembly of lead-free solder/intermetallic layers/copper was prepared by hot-dipped solder coated on a copper substrate and then by thermal aging at 100, 125, 150, and 170℃ for 50, 100, 200, and 600 hours, respectively. Results of interfacial morphologies and concentration profiles on the solder/copper joint were presented. OM and SEM were used to measure the thickness of intermetallic layers and then to illucidate the development of microstructure at the joint assembly. The phases of intermetallic compound were identified to be Cu3Sn and Cu6Sn5 by both X-ray mapping in EPMA, and X-ray diffraction. The intermetallic layers, subtracted from the initial thickness formed by hot dipping, showed a linear dependence of square root of aging time at various aging temperature. The diffusion coefficients of intermetallic compounds are estimated by Arrhenius equation, and the pre-exponential terms of Cu3Sn layer and Cu6Sn5 layer are 7.10×10-7 cm2/sec and 6.1×10-3 cm2/sec, respectively. The associated activation energies of Cu3Sn layer and Cu6Sn5 layer are 57.03 KJ/mol and 83.76 KJ/mol, respectively. A model of diffusion-controlled mechanism is used to fit the concentration profiles of the joint assembly, and exhibits a fairly good quantitative agreement with the measured data. The initial thickness formed as soldering is also taken into account to evaluate the apparent thickness by introducing a term of correcting aging time.
The phase transformation of the joint assembly was compared to the phase diagram of binary alloy, Cu - Sn, and it showed an agreement with the resultant intermetallic phases formed between the pure tin and pure copper. Two theoretical models proposed by Gosele and Shatynski were developed and then employed to characterize the assembly. The Gosele's model was used to predict whether the intermetallic layers grew or shrank during aging, while the Shatynski's model was employed to estimate the related reactive thicknesses and hence the ratios of the interdiffusivities in the joint assembly. After a series of calculations, the Gosele's model predicted that Cu6Sn5 and Cu3Sn intermetallic layers became thicker. Evaluation of intermetallic interdiffusivities was also proven to approach theoretical ones from the Shatynski's model.
In addition, X-ray color mappings by electron probe microanalyzer (EPMA) of copper and tin were also applied to study the concentration variations near the interfaces in the joint assembly. According to the intensities of Cu and Sn, collected by color mapping, a developed software was employed to construct series of statistical graphs, and the detailed concentration profiles at the interfaces of the assembly were investigated from these graphs. Two important results are derived. The first is that analysis of interfacial concentration profile exhibits the phases of Cu3Sn-rich, Cu6Sn5-rich and tin-rich, which match with boundaries of solder/Cu6Sn5, Cu6Sn5/ Cu3Sn and Cu3Sn/copper, respectively. The second is that the semi-quantitative measurement with a peak-fitting model employed suffices to evaluate the interfacial concentration profiles with a statistical variation less than 5 mol %.
A MLC/Sn-Ag-Zn/Pt-Ag metallization joint assembly aged at 150 ℃ was then prepared and investigated with electron microscope. Both secondary electron image (SEI) and backscattered electron image (BEI) were employed to observe the intermetallic layers, Ag3Sn, which were formed between solder and metallization with an irregular shape. The thickness profile of intermetallic layer showed a typical normal distribution by the employment of Person's goodness-of-fit. The mean of intermetallic thickness was obtained by transformation from one-dimensional linear length measurement to two-dimensional area measurement with an image processor. A criterion of which deviation of average thickness from the mean is less than 0.5% was established as the reference to estimate the relative error of other measurements with different measuring times. With the increasing measuring times, both the relative error to mean for average thickness and relative deviation to the standard deviation of the criterion were decreased with an exponential decay function. In addition, a quantitative measurement method to reduce the measuring error was demonstrated by the exponential function.
Finally, the kinetics of the IMC growth was investigated with the joint assemblies of Sn-Ag-1Zn/Pt-Ag, Sn-Ag/PtAg, Sn-Ag-1Zn/Cu, or Sn-Ag/Cu experienced thermal aging at 1500C. The morphologies of these joint assemblies were investigated by electron microscope. Related kinetics models were derived to cope with the microstructure development of the intermetallic compound (IMC) growth. After modified fitting with the derived model, the measured IMC thicknesses exhibited good regression with theoretically modeled curves. The derived kinetics for various joint assemblies were nonplanar-diffusion-controlled for Sn-Ag-1Zn/Pt-Ag, grain boundary diffusion controlled for Sn-Ag/PtAg, planar-diffusion-controlled for Sn-Ag-1Zn/Cu, and grain boundary diffusion controlled for both Sn-Ag/Pt-Ag and Sn-Ag/Cu, respectively. The obtained interdiffusivity of IMC for the joint assemblies of Sn-Ag-1Zn/Pt-Ag and Sn-Ag-1Zn/Cu were 2.76’10-12 cm2/sec for DAg3Sn and 1.12’10-12 cm2/sec for DCu6Sn5, respectively. Correlations of the derived model in various joint assembly with the morphological evolution in the microstructure investigation of the interfaces are discussed. Particularly the time dependence of IMC growth thickness is probed and compared with those in literature. In addition, a detailed precision measurement of IMC thickness is proposed.
1. S. Winkler, Advanced IC Packaging Markets and Trends, Solid St. Technol. (1998) 63
2. C.S. Chang, A Oscilowski, and R. Brackan, Future Challenges in Electronics Packaging, Circuits.Device (1998) 45
3. in "The National Technology Roadmap for Semiconductors", 1997 Ed, Smiconductor Industry association, San Jose, CA, November 1997, see http://notes.sematech.org197pelee.htm.
4. S.F. Al-sarawi, P.D. Franzon, A Review of 3-D Packaging Technology, IEEE Trans. Component part B, 21 (1998) 3
5. R.E. Barlow and F. Proschan, in "Mathematical Theory Reliability", John Wiely Sons, New York, 1965
6. D.Yao and J.K. Shang, Effect of Aging on Fatigue Crack Growth at Sn-Pb/Cu Interfaces, Metall. Mater. Trans A 26 (1995) 2677
7. A.J Sunwoo, J.W. Morris, Jr. G.K Lucey, Jr., and Shang, The Growth of Cu-Sn Intermetallics at A Pretinned Copper-Solder Interface, Metall Trans A 23 (1992) 1323
8. D. Yao and J. K. Shang, Effect of Cooling Rate on Interfacial Fatigue-Crack Growth in Sn-Pb Solder Joints, IEEE Trans. Component part B 19 (1996) 154
9. F. Bartels and J.W. Morris, Jr, Intermetallic Phase Formation in Thin Solid-Liquid Diffusion Couples , J. Elec. Mat. 23 (1994) 787
10. J. H Lau, Solder Joint Reliability of Flip Chip and Plastic Ball Grid Arrar Assembly Under Thermal, Mechanical, and Vibrational Conditions, IEEE Trans. Component Part B 19 (1996) 728
11. Y.Y. Wei, J.G. Duh, Y.G. Lee, and B.S. Chiou, Characteristics of SnAg and SnAgZn Solder Joint with Cu and PtAg Metallization, 1998 Proceedings Pan Pacific Microelectronics Symposium, Proc. Int. Conf. On Surface Mount Technology Association, Kona, Hawaii, USA, p483-488 (Feb. 10-13, 1998)
12. C.C. Young, Microstructural Evolution and Mechanical Characteristics for the Eutectic Pb-Sn and Unleaded Cu-Sn-Ni Solder Joint in Microelectronics Packaging, MS. Thesis, National Tsing Hua University, Taiwan (1995)
13. Y.Y. Wei and J.G.Duh, Effect of Thermal Ageing on (Sn-Ag, Sn-Ag-Zn)/PtAg, Cu/Al2O3 Solder Joints, J. Mater. Sci. Electron 9 (1998) 373
14. W.J. Tomlinson, H.G. Rhodes, Kinetics of Intermetallic Compound Growth between Nickel Electroless Ni-P, Electroless Ni-B and Tin at 453 to 493 K, IEEE Trans. Component part A.22 (1987) 1769
15. C.K. Hu and H.B. Huntington, Phys. Rev. B 26 (1982) 1769
16. K.L. Erickson, P.L. Hopkins and P.T. Vianco, Control of Odering in GaInP and Effect on Bandgap Energy, J. Elec. Mat. 23 (1994) 729
17. P.T. Vianco, A.C Kilgo and R. Grant, Intermetallic Compound Layer Growth by Solid State Reactions between 52Bi-42Sn Solder and Copper, ibid. 24 (1985) 1493
18. S. Bader, W. Gust and H. Heiber, Rapid Formation of Intermetallic Compound by Interdiffusion in the Cu-Sn and Ni-Sn Systems, Acta. Metall. Mater.43 (1995) 329
19. A.D. Roming, J.Y.A. Chang, J.J. Stephens, D.R. Frear, V. Marcotte, and C. Lea, in "Solder Mechanics A State of the Art Assesment", D.R. Frear, W.B. Jones, and K.R. Kinsman, eds., TMS, Warrendale, PA, 1991, p.19
20. U.A. Unsworth and C.A. MacKay, TIMFA 51 (1973) 85
21. M. Schaefer, W. Laub, J.M. Sabee, and R. A. Fournelle, A numerical Method for Prediction Intermetallic Layer Thickness Developed During the Formation of Solder Joints, J. Elec. Mat. 25 (1996) 992
22. P.T. Vianco, P.F. Hlava, and A.C. Kilgo, Intermetallic Compound Layer Formation between Copper and Hot-Dipped 100In, 50In-50Sn, 100Sn, and 63Sn-37Pb Coating, ibid. 23 (1994) 583
23. P.T. Vianco, J. J. Stephens, and J.A. Rejent, Intermetallic Compound Layer Development During the Solid State Thermal Ageing of 63Sn-37Pb Solder/Au-Pt-Pd Thick Thin Couples, IEEE Trans. Component part A. 20 (1997) 478
24. S. Kang, N.D. Zommer, D.L. Feucht, and R.W. Heckel, IEEE Trans. Hybrids, and Packaging, PHP-13 (1997) 138
25. N.N. Keller, IEEE Trans. Components Hybrids Manuf. Technol., CHMT-4, 1981, p132
26. D. Frear, D. Grivas, and J.W. Morris. Jr., Parameters Affecting Thermal Fatigue Behavior of 60Sn-40Pb Solder Joints, J Elec. Mat., 18 (1989) 671
27. L. E. Felton, C. H. Raeder, and David B. Knorr, The properties of Tin-Bismuth Alloy Solders, J. Met. 45 (1993) 28
28. Z. Mei and J.W. Morris, Jr, Characterization of Eutectic Sn-Bi Solder Joints, J. Electron. Mater. 21 (1992) 599
29. C.H. Reader, L.E. Felton, V.A. Tanzi, and D.B. Knorr, The Effect of Aging on Microstructure, Room Temperature Deformation, and Fracture of Sn-Bi/Cu Solder Joints, ibid 23 (1994) 611
30. J.H. Vincent, B.P. Richards, D.R. Wallis, I.A. Gunter, M Warwick, H.A.H. Steen, P.G. Harris, M.A. Whitemore, S.R. Billington, A.C. Harman, and E. Knight: Circuits World, 1993, 19 (3) p.32
31. in 'Soldering Manual', 1978, Miami, FL, American Welding Society, p134
32. P.G. Harris and M.A. Whitemore: Circuits World, 1993, 19 (2), p.1225
33. M.A. Carroll and M.E. Warwick, Surface Tension of Some Sn-Pb Alloys: part 1, Effect of Bi, Sb, P, Ag, and Cu on 60Sn-40Pb Solder, Mater. Sci. Tech. 3 (1987) 1040
34. H.H. Manko, in " Solders and Soldering", New York, MacGraw-Hill , 1964
35. R.R. Tummala and E.J. Rymaszewski, in " Microelectronics Packaging Handbook" 1989, New York, Van Nerstrand Reinhold
36. H.K. Kim and K.N. Tu, Kinetics Analysis of the Soldering Reaction between Eutectic SnPb Alloy and Cu Accompanied by Ripening, Phys. Rev. B. 53 (1996) 16027
37. T. Young, Phil. Trans. (1805) 65
38. P.S. Laplace, in "Mechanique Celeste", Suppl. AuX Livre, Impr. Impericle, Paris (1805)
39. J.M. Andereas, E.A. Hauser, and W.B. Tucker, Boundary Tension by Pendant Drops, J. Phy. Chem. 42 (1938) 1001
40. F. Bashforth and J.C. Adams in "An Attempt To Test The Theory of Capillary Action", Cambridge University press (1982)
41. W.N. Booth, Possibilities of gaseous heating, J. Amer. Chem. Soc. 4 (1921) 499
42. M. Canter, Ann. Physik, 47 (1892) 399
43. I.E. Verschaffelt, V. K. N. A., Wetenschap, 27 (1908) 208
44. R. Schredinger, Ann. Physik, 46 (1965) 413
45. R.E Pratt, E.I. Stromsworld, and D.J. Quesnel, Effect of Solid-State Intermetallic Growth on the Fracture Toughness of Cu/63Sn-37Pb Solder Joints, IEEE Trans. Component part A, 19 (1996) 134
46. D.R. Frear, and P.T. Vianco, Intermetallic Growth and Mechanical Behavior of Low and High Melting Temperature Solder Alloys, Metall. Mat. Trans A, 25 (1994), 1509
47. El-B Hannech and C.R. Hall, Diffusion Controlled Reaction in Au/PbSn Solder System, Mater. Sci. T. 8 (1992) 817
48. D. Frear, F.M. Hosking, and P.T. Vianco, Mechanical Behavior of Solder Joint Interfacial Intermetallics, in Materials Developments in Microelectronic Packaging Conference Proceedings, Montreal, Quebec, Canada, Aug 19-22 1991, p.229
49. Y.Y. Wei and J.G. Duh, Effect of Thermal Ageing on (Sn-Ag, SnAg-Zn)/PtAg, Cu/Al2O3 Solder Joints, J. Mater. Sci. Electron 9 (1998) 373
50. J.O.G Parent and D.D. L. Chung, Effects of Intermetallic Formation at the Interface between Copper and Lead-Tin Solder, J. Mater. Sci. (1998) 2564
51. J.H. Kim, M.S. Suh, H.S. Krown, The Formation of Cu-Sn Intermetallic Compound and Its Effect on the Fracture Behavior of 80Sn-20Pb Electrodeposits on Cu-Based Leadframe, Surf. Coat. Tech. 82 (1996) 23
52. E.A. Gies, K.N. Tu , and D.R. Uhlmann, Mat. Res. Soc. Symp. Proc. 40 (1985) 117
53. P.L. Tu, Y.C. Chan, J.K.L. Lai, Effect of Intermetallic Compounds on the Thermal Fatigue of Surface Mount Solder Joints, IEEE Trans. Component part B 20 (1997) 87
54. J. S. Hwang, in "Modern Solder Technology for Competitive Elcetronics Manufacture", Chap. 16, MacGraw-Hill (1996)
55. M. McCormack and S. Jin, New, Lead-Free Solders, J. Elec. Mat. 23 (1994) 635
56. M. McCormack and S. Jin, New Lead-Free, Sn-Zn-In Solder Alloys, ibid 23 (1994) 687
57 J. Glazer, Microstructure and Mechanical Properties of Pb-Free Solder Alloys for Low-cost Eletronic Assembly: A Review, ibid 23 (1994) 693
58. E.P. Wood and K.L. Nimmo, In Search of New Lead-Free Electronic Packaging, ibid 23 (1994) 709
59. S.K. Kang, Lead(Pb)-Free Solder for Electronic Packaging, ibid 23 (1994) 701
60. M. McCormack and S. Jin, Improved Mechanical Properties in New, Pb-Free Solder Alloys, ibid 23 (1994) 715
61. Idem, "Progress in the Design of New Lead-Free Solder Alloys", J. Met. 45 (1993) 36
62. J. Glazer, Metallurgy of Low Temperature Pb-Free Solder for Electronic Assembly, Intern. Mater. Rev. 40 (1995) 65
63. J.G. Duh, C.C. Young, and Y.G. Lee, in Proceedings of the Second International Symposium on Electronic Packageing Technology, 1996, edited by K. Bi, X. Zong, S. Liu and F. Liu (Commercial Press Shanghai Plant, Shanghai, China) p.330
64. Y.G. Lee and J.G.Duh, Interfacial Morphology and Elemental Profile of Unleaded Solder/Metallized Substrate in Microelectronic Package, in 1998 Proceedings Pan Pacific Microelectronics Symposium, Kona, Hawaii (Surface Mount Technology Association, Edina, Minnesota, USA) p.501
65. J.S. Huang, J. Zhang, A. Cuevas, K. N. Tu, Recrystallization and Growth in Bulk Cu and Cu(Sn) Alloy, Mat. Chem. Phys. 49 (1997) 33
66. Y. Wu, J. A. Sees et. al., The Formation and Growth of Intermetallics In Composite Solder, J. Elec. Mat. 22 (1993) 769
67. H.K. Kim, H.K. Liou and K.N. Tu, Three-Dimensional Morphology of A Very Rough Interface Formed in the Soldering Reaction between Eutectic SnPb and Cu, Appl. Physi. Lett. 66 (1995) 1237
68. Z. Mei, A.J. Sunwoo, and J.W. Morris, Jr, Analysis of Low-Temperature Intermetallic Growth in Copper-Tin Diffusion, Met. Trans. 23A (1992) 857
69. K. Hoshino, Y. Iijima and K.I. Hirtano, Interdiffusion and Kirkendall Effect in Cu-Sn Alloys, Trans. Jpn Inst. Met. 21 (1980) 674
70. K.F. Dreyer, W.K. Neils, R. R. Chromik, D. Grosman, and E.J. Cotts, Calorimetric Study of the Energetics and Kinetics of Interdiffusion in Cu/Cu6Sn5 Thin-Film Diffusion Couples, Appl. Phys. Lett 67 (1995) 2795
71 W. Jost, in "Diffusion in Solids, Liquids, Gases" 3rth ed. (Academic Press, New York, 1960) p.71
72. G.V. Kidson, Some Aspects of the Growth of Diffusion Layers in Binary System, J. Nucl. Mat. 3 (1961) 21
73. P.G. Shewmon, in "Diffusion in Solids" (McGraw-Hill, 1963) p.30
74. M.G. Pecht, in "Soldering Process and Equipment" (John Wiley & Sons. New York, 1993) Ch.2
75. J.R Manning, Diffusion and The Kirkendall Shift in Binary Alloys, Acta Metall. 15 (1967) 817
76. M. Hansen, in "Constitution of Binary Alloys" (McGraw-Hill, New York, 1958) 633
77. T.B. Massalski, in "Binary Alloys Phase Diagrams" 2, 2nd ed. (ASM 1990) p.1481
78. B.D.Bastow, and D.H. Kirkwood, Binary and Ternary Diffusion in the Cu Corner of the Copper-Nickel-Tin System, J. Inst. Met. 100 (1972) 24
79. Fon Kon et al., in "Method of Numerical Calculation" (Country Guardagainst Industrial Publish, Bejing China, 1978) p.154
80. F. Abautret and P. Eveno, Diffusion of Nitrogen Implanted in Titanium Nitride (TiN1-X), Rev. Phys. Appl. 25 (1990) 1113
81. J.I. Goldstein, D.E. Newbury, P. Echlin, D.C. Joy, C. Fiori and E. Lifshin, in "Scanning Electron Microscopy and X-Ray Microanalysis" (Plenum Press, New York and London, 1992) p.109
82. J.G. Duh, Ph.D. Dissertation, Purdue University, USA (1983)
83. T. A. Powers, Role of Tin Content in the Wetting of Cu and Au by Tin-Bismuth Solders, J. Elec. Mat. 23 (1994) 773
84. S.K. Kang, Lead(Pb)-Free Solders for Electronic Packaging, ibid 23 (1994) 701
85. K.N. Tu and R.D. Thompson, Kinetics of Interfacial Reaction in Bimetallic Cu-Sn Thin Films, Acta. Metall. 30 (1982) 947
86. P.T. Vianco, K.L. Erickson, and P.L. Hopkins, Solid State Intermetallic Compound Growth between Copper and High Temperature, Tin-Rich Solders-Part I: Experimental Analysis, J. Elec. Mat. 23 (1994) 721
87. Y.G. Lee and J.G. Duh., Kinetics Study in MLC/Tin-containing Solder/IMC/Metallization during Thermal Aging, submitted to J. Mater. Sci. Electron.
88. U Gosele and K.N. Tu, Growth Kinetics of Planar Binary Diffusiob Couples:"Thin-Film Case", J. Appl. Phys. 53 (1982) 3252
89. S.R. Shatynski, J.P. Hirth, and R.A Rapp, A Theory of Multiphase Binary Diffusion, Acta. Metall. 24 (1976) 1071
90. Y. Wu, J.A. Sees, C. Pouraghabagher, L.A. Foster, J. L. Marshall, E.G. Jacobs, and R.F. Pinizzotto, The Formation and Growth of Intermetallics in Composite Solder, J. Elec. Mat. 22 (1993) 769
91. R. Halimi, E.M. Chipilevski, and D.A. Gorbatchevski, Cinetique de Formation de Composes Intermetalliques Dans Les Couches Minces de Cu/Sn, Thin Sol. Fi. 148 (1987) 109
92. T.E. Seidel and A.U. MacRae, Some Properties of Ion Implanted Boron in Silicon, Trans. Metall. Soc. AIME 245 (1969) 491
93. K. Okajima and H. Sakao, Empirical Results on Solid Solubility Limits and Activities in Binary Alloys, Trans. Jpn Inst. Met 16 (1975) 557
94. M. Onishi and H. Fujibuchi, Reaction-Diffusion in the Cu-Sn System, Trans. Jpn Inst. Met 16 (1975) 539
95. J.G. Duh and Y.Y. Wei, Characteristics of SnAg and SnAgZn Solder Joint with Cu and PtAg Metallization, Proc. Pan Pacific Microelectron. Symp., Kona, Hawaii, USA (Surface Mount Technology Association, Edina, Minnesota, USA 1998) p.483
96. Y.G. Lee and J.G. Duh, Characterizing the Formation and Growth of Intermetallic Compound in the Solder Joint, J. Mat. Sci. 33 (1998) 5569.
97. Y.G. Lee and J.G. Duh, Phase Analysis in the Solder Joint of Sn-Cu solder/IMCs/Cu Substrate, accepted by Mater. Charact
98. B.E. White, M.E. Patt and E.J. Cotts, Comparision of Solder-State Amorphization Reaction in Deformed Ni-Ti and Ni-Zr Multilayered Composites, Phys. Rev. B 42 (1990) 1017
99. R.E. Walpole and R. H. Mayers, Probability and Statistics for Engineers and Scientists, 4th ed. (Macmillan, New York, USA, 1993) p.171
100. J.R. Davis, J.D. Destefani and D. A. Dieterich, Metals Hand book, Fractography, 9th ed. (ASM International, 1992) p.200
101. Y.G. Lee and J.G. Duh, Interfacial Morphology and Concentration Profile in the Unleaded Solder/Cu Joint Assembly, J. Mater. Sci. Electron. 10 (1999) 1
102. In "Metals Handbook", 9th ed. American Society for Metals (ASM 1985) p.450
103. Y.G. Lee, J.G. Duh and B.S. Chiou, Precise Measurement of Intermetallic Compound Thickness in the MLC/Sn-Ag-Zn Solder/Pt-Ag Metallization Assembly, submitted to Mater. Charact
104. O. Levenspiel, in "Chemical Reaction Engineering", John Wiely & Sons, New York (1972), Ch.12
105. J.C. Fisher, Calculation of Diffusion Penetration Curves for surface and Grain Boundary Diffusion, J. Appl. Phys. 22 (1951) 74
106. K.N. Tu, J.W. Mayer, and L.C. Feldman, in "Electronic Thin Film Science for Electrical Engineerings and Materials Scientist", MacMillian, New York (1992) p.343
107. K. Kameda, Activities of Liquid Gold-Zinc and Silver-Zinc Binary Alloys by E.M.F. Measurements Using Zirconia Solid Electrolyte Cells, Trans. Jap. Inst. Met. 28 (1987) 41
108. K.A. Jackson, in "Growth and Perfections of Crystals", edited by R.H. Doremus, B.W. Robert, and D Turnbull (1953) p.319
109. Z. Marinkovic and V. Simic, Kinetics of Reaction at Room Temperature in Thin Silver-Metal Couples, Thin Sol.Fi. 195 (1991) 127
110. B. Meagher, D. Schwarcz, and M. Ohring, Compound Growth in Platinum/Tin-Lead Solder Diffusion Couples, J. Mat. Sci. 31 (1996) 5479
111. B.F. Dyson, T. Anthony, and D. Turnbull, Intersititial Diffusion of Copper and Silver in Lead, J. Appl. Phys. 37 (1966) 2375