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International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823 © Research India Publications. http://www.ripublication.com 8817 Physical Properties of Tin Base Melt Spun and Composite Solder Alloys 1,2 Emad M Abdlehady Ahmed and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, King of Saudi Arabia. 2 Solid State Physics Department, National Research Center, Dokki, Cairo, Egypt. 3 Zoology Department, EM Unit, College of Science, King Saud University, P.O. 2455, Riyadh 11451, King of Saudi Arabia. 4 Electron Microscope and Thin Films Department, National Research Centre, Dokki, Cairo, Egypt. Abstract This paper aims to investigate structural, thermal and mechanical properties of as-cast (AC), rapidly solidified (RS) and nano-sized Ce2O3 particles-reinforced nanocomposite (NC) Sn-3.5Ag-0.7Cu (SAC307) solder alloys. The effects of rapid solidification and Ce2O3 nanoparticles (NPs) addition on microstructure, melting behavior and hardness properties of SAC307 solder alloys were systematically investigated. XRD, SEM, TEM and EDX were used to evaluate the structural properties of AC, RS and NC solder alloys. DSC analysis confirmed that the melting temperature Tm of RS sample decreased while it increased in case of NC solder alloy comparing to the AC solder alloy. Microhardness as an important mechanical parameter has been measured for the solder alloys and compared. The structure results revealed that AC sample has two kinds of intermetallic compounds (IMC); namely Ag3Sn2 and Cu6Sn5 in addition to β-Sn primary phase referring to that SAC solder alloys have been fabricated successfully. RS solder alloy showed ultrafine structure with grains size in nano-scale in addition to an enhancement in the microhardness (about two times compared to the AC counterpart). Moreover, Ce2O3-NPs (less than 50 nm) incorporated mechanically to SAC solder alloy enhances the structural and microhardness properties as well. Keywords: Solder alloys, nanocomposite, rapid solidification, thermal analysis, microhardness INTRODUCTION The lead-free solder SnAgCu (SAC) alloys have been considered as the most important candidate as a promising alternative solder in microelectronic packaging and they interconnect because of their comparable lower melting temperature compared with the SnAg binary eutectic alloy as well as their generally superior mechanical properties and relatively good solderability [1]. This lead-free solder began to come into use in the packaging of some microelectronic components and devices such computers, cellular phones and portable products have become lighter and thinner while the functions are becoming more complicated. The miniaturization of these electronic devices demands better solder-joint reliability. An attractive and potentially available method of enhancing solder joints is by adding reinforcements to solder alloys [2]. The reinforcing particles should have small size (nano-particles) and serve to suppress grain-boundary sliding, formation of large intermetallic compound and grain growth, thereby causing uniform distribution of the stress in the solder joints. Consequently, the solder joint could provide better reliability with improved thermal stability of the microstructure [3] and a high stress resistance. There are various types of nanoparticles such as metal nanoparticles, metal oxide nanoparticles and polymer nanoparticles. Among all these, metal oxide nanoparticles stand out as one of the most versatile materials, due to their diverse properties and functionalities. Many researches have been carried out on the lead-free composite solder of nano-particles especially for its fine particle size, high surface energy, big specific surface area and good wetting characteristics [4]. The types of nonmetallic oxide reinforcement particles such as ZrO2 [5], TiO2 [6], Al2O3 [7], AgO [8] etc. are usually included. These particles can be characterized as the addition of reinforcement particles significantly improves the tensile strength, hardness, and creep properties of the composite solder. From these studies, it can be concluded that no matter what the size and type of the reinforcement particles are, particles can hinder the movement of dislocations in the composite solder. Tsao and Chang added TiO2 nanoparticles to Sn-3.5Ag-0.25Cu lead-free solder alloys [9]. The mechanical properties (microhardness, 0.2%YS, and UTS) improved as a result. Tsao et al. added Al2O3-NPs to a conventional SAC solder [10]. Microhardness was improved by the addition the nano-powders. This improvement in the mechanical property was due to the composite microstructure, which was close to the theoretical prediction from dispersion strengthening theory. Moreover, the composite solder joints apparently decreased the surface energy and hindered the growth of the Cu6Sn5 IMC layer [11,12]. Shen et al. [13] investigated the Sn3.5AgZrO2 composite solders and found that the primary β-Sn dendrites and Ag3Sn phases were refined. Another attractive and potentially available method of enhancing solder joints is the rapid solidification (RS) technology which involves exceptionally high rates of cooling (10 4 to 10 8 K/s) during solidification from the molten state. The RS process allows the synthesis of materials with refined microstructures and extended solid solubility of their constituent elements. The result is materials with enhanced mechanical, physical and chemical properties compared with those that are conventionally processed [14]. Effect of rapid

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Page 1: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8817

Physical Properties of Tin Base Melt Spun and Composite Solder Alloys

1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader

1Physics Department, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, King of Saudi Arabia. 2Solid State Physics Department, National Research Center, Dokki, Cairo, Egypt.

3Zoology Department, EM Unit, College of Science, King Saud University, P.O. 2455, Riyadh 11451, King of Saudi Arabia. 4Electron Microscope and Thin Films Department, National Research Centre, Dokki, Cairo, Egypt.

Abstract

This paper aims to investigate structural, thermal and

mechanical properties of as-cast (AC), rapidly solidified (RS)

and nano-sized Ce2O3 particles-reinforced nanocomposite

(NC) Sn-3.5Ag-0.7Cu (SAC307) solder alloys. The effects of

rapid solidification and Ce2O3 nanoparticles (NPs) addition on

microstructure, melting behavior and hardness properties of

SAC307 solder alloys were systematically investigated. XRD,

SEM, TEM and EDX were used to evaluate the structural

properties of AC, RS and NC solder alloys. DSC analysis

confirmed that the melting temperature Tm of RS sample

decreased while it increased in case of NC solder alloy

comparing to the AC solder alloy. Microhardness as an

important mechanical parameter has been measured for the

solder alloys and compared. The structure results revealed that

AC sample has two kinds of intermetallic compounds (IMC);

namely Ag3Sn2 and Cu6Sn5 in addition to β-Sn primary phase

referring to that SAC solder alloys have been fabricated

successfully. RS solder alloy showed ultrafine structure with

grains size in nano-scale in addition to an enhancement in the

microhardness (about two times compared to the AC

counterpart). Moreover, Ce2O3-NPs (less than 50 nm)

incorporated mechanically to SAC solder alloy enhances the

structural and microhardness properties as well.

Keywords: Solder alloys, nanocomposite, rapid solidification,

thermal analysis, microhardness

INTRODUCTION

The lead-free solder Sn–Ag–Cu (SAC) alloys have been

considered as the most important candidate as a promising

alternative solder in microelectronic packaging and they

interconnect because of their comparable lower melting

temperature compared with the Sn–Ag binary eutectic alloy as

well as their generally superior mechanical properties and

relatively good solderability [1]. This lead-free solder began to

come into use in the packaging of some microelectronic

components and devices such computers, cellular phones and

portable products have become lighter and thinner while the

functions are becoming more complicated. The miniaturization

of these electronic devices demands better solder-joint

reliability. An attractive and potentially available method of

enhancing solder joints is by adding reinforcements to solder

alloys [2]. The reinforcing particles should have small size

(nano-particles) and serve to suppress grain-boundary sliding,

formation of large intermetallic compound and grain growth,

thereby causing uniform distribution of the stress in the solder

joints. Consequently, the solder joint could provide better

reliability with improved thermal stability of the microstructure

[3] and a high stress resistance. There are various types of

nanoparticles such as metal nanoparticles, metal oxide

nanoparticles and polymer nanoparticles. Among all these,

metal oxide nanoparticles stand out as one of the most versatile

materials, due to their diverse properties and functionalities.

Many researches have been carried out on the lead-free

composite solder of nano-particles especially for its fine

particle size, high surface energy, big specific surface area and

good wetting characteristics [4]. The types of nonmetallic oxide

reinforcement particles such as ZrO2 [5], TiO2 [6], Al2O3 [7],

AgO [8] etc. are usually included. These particles can be

characterized as the addition of reinforcement particles

significantly improves the tensile strength, hardness, and creep

properties of the composite solder. From these studies, it can be

concluded that no matter what the size and type of the

reinforcement particles are, particles can hinder the movement

of dislocations in the composite solder. Tsao and Chang added

TiO2 nanoparticles to Sn-3.5Ag-0.25Cu lead-free solder alloys

[9]. The mechanical properties (microhardness, 0.2%YS, and

UTS) improved as a result. Tsao et al. added Al2O3-NPs to a

conventional SAC solder [10]. Microhardness was improved

by the addition the nano-powders. This improvement in the

mechanical property was due to the composite microstructure,

which was close to the theoretical prediction from dispersion

strengthening theory. Moreover, the composite solder joints

apparently decreased the surface energy and hindered the

growth of the Cu6Sn5 IMC layer [11,12]. Shen et al. [13]

investigated the Sn–3.5Ag–ZrO2 composite solders and found

that the primary β-Sn dendrites and Ag3Sn phases were refined.

Another attractive and potentially available method of

enhancing solder joints is the rapid solidification (RS)

technology which involves exceptionally high rates of cooling

(104 to 108 K/s) during solidification from the molten state. The

RS process allows the synthesis of materials with refined

microstructures and extended solid solubility of their

constituent elements. The result is materials with enhanced

mechanical, physical and chemical properties compared with

those that are conventionally processed [14]. Effect of rapid

Page 2: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8818

solidification and cooling rates on microstructure and

microhardness of lead free Sn–3.5Ag solder has been studied

[15,16]. The mechanical properties of some promising Sn–

3.5Ag based lead free solders, such as hardness and Young’s

modulus, were explored by instrumented nano-indentation

[17]. It was found that the hardness was dependent on the

cooling rate. The tensile properties of Sn–3.5Ag, Sn–3.5Ag–

0.75Cu and Sn–3.5Ag–2Bi lead free solders were investigated

and compared with those of a Sn–Pb eutectic solder [18]. The

microstructure of a solidifying lead free Sn–3.5Ag solder alloy

is found to be highly sensitive to the surface condition of the

copper substrate [19]. The aim of the present work is study the

effects of rapid solidification and Ce2O3-NPs reinforcement on

structure, thermal behavior and mechanical properties of Sn–

3.5Ag-0.7Cu lead free solder alloy.

EXPERIMENTAL TECHNIQUES

Sn-3.5Ag-0.7Cu alloys were prepared from 99.9 wt.% pure Sn,

99.9 wt.% pure Ag and 99.7 wt.% pure Cu. The ingots were

melting in a muffle furnace and poured into a graphite mold

after a homogenization process to produce rods of 25 mm in

length and 4 mm in diameter. RS solder alloy prepared as a long

uniform ribbons of thickness around 30 μm and width 2 mm

was prepared by melt spinning technique. A stream of the

molten alloy at 500 ◦C was ejected by argon gas at a gauge

pressure of 1.5 bars from a silica tube with a 0.4 mm orifice

diameter. The melt jet fell on a copper disc of 16 cm diameter

coated by chromium, rotating at 2950 rpm. The estimated

cooling rate was about 105 K/s. The produced ribbons were

fairly uniform. Deviations of 0.05% mm and 3 μm in width and

thickness were observed from the whole length of ribbons. NC

solder alloy was prepared by adding Ce2O3-NPs (Sigma-

Aldrich CHEMIE, GmbH) to the Sn-3.5Ag-0.7Cu melt using

mechanical mixing method to incorporate the Ce2O3 NPs into

the melt then poured into a graphite mold. XRD patterns of all

solder alloys were performed using a 1390 Philips

diffractometer with filtered Cu Kα radiation at 40 kV and 20

mA. The X-ray diffraction patterns were performed for RS a

solder alloy (ribbon) from a short length stuck on a glass slide

using Vaseline. SEM investigations were carried out in a JEOL

JSM-T330 scanning electron microscope operated at 25kV and

linked with an energy dispersive spectrometry (EDS)

attachment. The ribbons were observed for the wheel side

surface using standard metallographic techniques. Optical

mount specimens were prepared for SEM investigations

followed by chemical etching in a 3%HNO3, 2%HCl in distil

water. The microhardness was measured in microhardness

tester with a Vickers diamond indenter using a load of 25g. A

total of ten measurements were performed on each ribbon and

the average is taken as the microhardness value. The melting.

temperature was analyzed using Differential Scanning Electron

(DSC) from TA Instruments. The analysis was carried out at

10°C/min of heating rate with the temperature from 0 to 500°C

under nitrogen atmosphere. Transmission electron microscope

TEM has been used to figure out the size and morphology of

the Ce2O3-NPs used in this study as reinforcement. Suspension

of Ce2O3-NPs has been sonicated for 3 h to get well suspension

with well nanoparticles distribution for TEM investigations

Cu5Sn6

Ag3Sn

2

β-Sn

Figure 1: Optical Image of AC-SAC solder alloy.

20 µm

Page 3: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8819

Figure 2: XRD pattern of AC-SAC solder alloy.

RESULTS

Microstructure analysis

Rapid solidification process and Ce2O3-NPs reinforcement

influence the final microstructure of the well-known AC-SAC

solder alloy significantly. Figure 1 shows the optical image of

the AC-SAC sample. The AC microstructure consists of β-Sn

dendrites and eutectic mixture of Ag3Sn and Cu6Sn5 IMCs

distributed within Sn-rich matrix. A similar structure was

reported in other SAC studies [20]. This referring to that the

SAC307 solder alloy has been successfully prepared. The size

of needlelike

Figure 3: SEM images of RS-SAC solder alloy with different magnifications

25 35 45 55 65 75 85 95

2 theta (degree)

β-SnAg3SnCu5Sn6

AC-SAC solder alloy

Page 4: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8820

Ag3Sn particles lies in the range of 20-30 µm, while that of

Cu6Sn5 particles is between 2 and 5 µm. However, these large

IMC particles are commonly present in near eutectic SAC

solders, and could lead to untimely failure owing to the high

interfacial energy between solid solder and IMC particles [21]. Fig.2 shows the XRD pattern of AC-SAC. The XRD analysis

confirms the existence of β-Sn, Ag3Sn and Cu6Sn5 phases since

strong peaks due to β-Sn phase were detected with a small

peaks due to Ag3Sn and Cu6Sn5 IMC phases in the SAC sample.

Fig.3 represents SEM images of RS-SAC ribbons. The normal

microstructure observed in the AC sample does not observed in

the RS one. The high cooling rate obtained in the RS process

was sufficient to refine the structure of the different phases

formed in this solder alloy. The grain growth and formation of

big accumulated particles have not sufficient time during

solidification in the rapid solidification process (greater than

104◦C/min) to be completely done as usually occurred in case

of the AC samples. Comparing to the AC microstructure

properties, the particle size range for all phases appeared as low

as 1 µm or less. This structural refinement occurred for the

prepared solder alloy during the RS is expected to strongly

enhance the mechanical properties of the solder alloy. Fig. 4

shows TEM image of the Ce2O3-NPs (a), used as reinforced

particles for the solder alloy, and SEM images of NC-SAC with

different magnifications (b-d). TEM image of Ce2O3-NPs

confirmed the nanosized range of the Ce2O3 with less than 50

nm Polygon particles as shown in Fig 4(a). SEM image of NC-

SAC shown in Fig.4 (b) represents the structural refinement

occurred in the solder alloy reinforced with Ce2O3-NPs which

plays an important role in the structural refinement since the

nanoparticles distributed at the grain boundaries and hinders

development of the grain growth process during the

solidification process. Fig.4 (c and d) represents microstructure

of the NC-SAC solder alloy with higher magnification showing

the nano-structure of the eutectic mixture of Ag3Sn and Cu6Sn5

IMCs. EDX signals of the NC-SAC shown in Fig.4 (e) confirm

the existence of the Ce element.

Figure 4: TEM image of Ce2O3NPs (a), SEM images of NC solder alloy with different magnifications (b), (c) and (d), EDX

signals (e) and the estimated wt.% of elements (f).

Page 5: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8821

Thermal analysis

The melting behavior for solder alloys is a very important

characteristic because it determines the optimum application

temperature of the electronic packaging. High melting

temperature causes increases in reflowing temperatures in the

reflow zone of a solder alloy and result in thermal damage to

the polymer substrate in the electronic packaging procedure.

The melting temperature of the solder alloy must be as low as

possible. The solidus temperature is defined as the temperature

at which the first deviation from the base line appears by the

heat flow signal with temperature during the heating process in

the DSC measurements. The deviation signals that a phase

change is taking place thus the solidus temperature has been

reached. In addition, the liquidus temperature is defined as the

temperature at which the graph returns to the baseline. The end

of the deviation signifies the end of the phase change, i.e., the

alloy has reached the liquid phase and the liquidus temperature.

Melting characteristics of the thermal properties of AC, RS and

NC solder alloys were studied by DSC analysis and shown in

Fig. 5. The pasty range of the solder alloys, defined as the

temperature difference between the solidus and liquidus

temperatures, has a value of about 6 ◦C for the RS solder alloy

and 8◦C for NC solder while it records about 11 ◦C for AC

solder alloy, implying that this range is the narrowest for RS

solder alloy. It can be generalized from this observation that the

RS solder melts much faster to form Cu6Sn5 IMC with the Cu

substrate than the AC material with the same soldering process.

According to Shen [22], the diffusion distance of the

constituent atoms in amorphous metal is shorter than in

crystalline metals, and so RS sample have a narrower range of

melting temperature as compared with the AC older alloy. This

reasoning can be used to justify the instant melting

characteristics of RS solder, presenting a more apparent

amorphous nature than the as-cast solder alloy. In addition,

considering the melting point of the solder alloy is the onset

temperature of the endo thermal peak during the heating

process, the melting point decreased from 217.5 for AC solder

alloy to 216.9 ◦C for RS solder alloy while it increased to 219

◦C for NC solder. This decrease in the melting temperature of

the RS sample can be attributed to the effect of rapid

solidification process. The volume percentage of the particle

sizes decreases with decreasing melting temperature which is

in agreement with other works [23-25]. Moreover, the high

cooling rate of the rapid solidification process effectively

improves the composition homogeneity of the alloy and the

precipitation or dissolution of the Ag and Cu elements. Similar

results of the melting point increase for the oxide-reinforced

Sn-Ag-Cu solder alloys have been published in the literature.

Al2O3 nanoparticles have been added to the Sn-3.5Ag-0.5Cu

solder alloy. During the heating process of the DSC analysis,

the Sn-3.5Ag-0.5Cu solder exhibited an eutectic alloy with a

melting point of 221.2 ∘C, which has been increased slightly

with the increase of the amount of nano-Al2O3 particles [26].

To identify the effects of different joint fabrication methods and

the amount of TiO2 addition on the Sn-3.0Ag-0.5Cu solder,

DSC analysis was used.

Figure 5: DSC curves of rapidly solidified and as-cast Sn-3.5Ag composite solders

Page 6: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8822

Figure 6: Microhardness of AC, NC and RS-SAC solder alloys

The results showed that the melting point of Sn-3.0Ag-0.5Cu

solder and the solder bearing 1 wt.% TiO2 nanoparticles ranged

from 217∘C to 217.64∘C, with only an eutectic peak [27]. A

similar phenomenon in other studies on the Sn-3.0Ag-0.5Cu

composite solders was observed [28]. DSC analysis was carried

out to understand the influence of ZnO nanoparticles addition

to the Sn-3.5Ag-0.5Cu solder on its melting temperature. From

DSC results, it was indicated that the melting temperatures of

plain Sn-3.0Ag-0.5Cu solder and Sn-3.0Ag-0.5Cu/0.5ZnO

composite solder were about 221.18∘C and 222.16∘C

respectively, with only one eutectic peak [29]. The melting

behavior of Sn-3.0Ag-0.5Cu solder reinforced with nanosized

ZrO2 particles were studied by Gain and Chan [30]. The

melting temperature was increased by less than 1∘C when the

amount of ZrO2 nanoparticles was 1 wt.%.

Microhardness

The measurement of Vickers hardness is a usual method to

evaluate the mechanical properties of solder alloys. Hardness

of the solder is related to how the metallic material resists

wearing or abrasion. It also determines the applicability under

various circumstances [31]. The microhardness of NC and RS

solders were as high as 25 and 34 HV respectively as shown in

Fig.6; these values are higher than the hardness of AC

counterpart (17HV) which means that metal-oxide-NPs

reinforcement and rapid solidification have a significant

influence on the mechanical properties of this alloy. The Ce2O3-

NPs distributed through Sn matrix has a big influence on the

microstructure refinement. These NPs precipitating at the

grain-boundary suppress the grain-boundary sliding, resist the

formation of large IMC and grain growth, causing enhancement

of hardness of the NC solder. Moreover, this improvement of

RS hardness can be attributed to effect of the supersaturated

solid solutions of Sn by Ag and Cu, the nature of lattice forces

operative, owing to the interaction of different atomic species

and the hard ultra-fine Ag3Sn and Cu6Sn5 particles precipitated

during the rapid solidification process.

CONCLUSION

AC-SAC solder alloy has been prepared successfully. The

influence of the rapid solidification and reinforcement of

Ce2O3NPs on microstructure, thermal and hardness properties

of AC-SAC solder alloy has been studied. Rapid solidification

with about 105 C/min cooling rate has a significant influence

on the structural refinement and consequently the hardness

improvement since hardness enhanced two times comparing to

AC-SAC. Moreover, the melting point of the RS solder alloy

decreased by about 1 C owing to the composition homogeneity

and the structure refinement obtained during the rapid

solidification process. In addition, Ce2O3-NPs play an

important role in the structural refinement since the distribution

of the Ce2O3-NPs through the Sn-matrix suppress the grain-

boundary sliding, resist the formation of large IMC and grain

growth causing enhancement of hardness 41% comparing to

the AC-SAC.

ACKNOWLEDGEMENT

The authors would like to acknowledge Taif University, Saudi

Arabia for providing financial support for this research via a

scientific project Nr. 1/434/5101.

0

5

10

15

20

25

30

35

40

1 2 3

HV

NC/23HV

RS/34HV

AC/17HV

Page 7: Physical Properties of Tin Base Melt Spun and …1,2Emad M Abdlehady Ahmed∗† and 3, 4 Omar H. Abd-Elkader 1 Physics Department, Faculty of Science, Taif University, P.O. Box 888,

International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 19 (2017) pp. 8817-8823

© Research India Publications. http://www.ripublication.com

8823

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