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Đây là một bài báo khoa học về dây nano silic trong lĩnh vực nghiên cứu công nghệ nano dành cho những người nghiên cứu sâu về vật lý và khoa học vật liệu.Tài liệu có thể dùng tham khảo cho sinh viên các nghành vật lý và công nghệ có đam mê về khoa học

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Growth kinetics of silicon nanowires by platinum assisted vapour–liquid–solid mechanism

H Jeong, T.E Park, H.K Seong, M Kim, U Kim, H.J Choi*

Department of Materials Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea

a r t i c l e i n f o

Article history:

Received 9 April 2008

In final form 5 November 2008

Available online 12 November 2008

a b s t r a c t

The growth kinetics of Si nanowires produced by a vapour–liquid–solid (VLS) mechanism in conjunction with Pt and Au catalysts, respectively, was investigated and compared Pt was employed as a VLS catalyst for single-crystal Si nanowires in a SiCl4-based chemical vapour deposition process The growth rates were higher with Pt than with Au under all processing conditions The activation energy was measured

as 80 and 130 kJ/mol with the Pt and Au catalysts, respectively The present results suggest that the rate-determining step is the incorporation of Si atoms in the lattice at the liquid/solid interfaces and, further-more, the metal catalysts affect this step, resulting in different activation energy

Ó 2008 Elsevier B.V All rights reserved

1 Introduction

Silicon (Si) nanowires have novel properties as well as

comple-mentary metal oxide semiconductor (CMOS) compatibility As

such, they are among the most promising materials in terms of

serving as building blocks for the next generation of nano devices

Among the many available methods to grow Si nanowires,

chem-ical vapour deposition (CVD) processes via a vapour–liquid–solid

(VLS) mechanism have been widely used since Wagner and Ellis

contrived this process in 1964[1]for Si whiskers The bulk of

re-search in this area has focused on the use of an Au catalyst to

grow Si nanowires However, Au acts as a deep-level impurity

in the Si band gap [2], thereby preventing direct integration of

Si nanowires in the CMOS process In this regard, Pt is a good

can-didate catalyst for the growth of Si nanowires via the VLS

mech-anism It is known that Pt does not yield an undesirable electronic

effect in Si[3], and thus will not degrade the performance of Si

nanowire devices even if it diffuses into the nanowires Some

studies have reported on the growth of Si nanowires using Pt

with a precursor of SiH4 or SiCl4 [4–6] However, because the

VLS mechanism was not utilized and/or single-crystalline

nano-wires were not employed in these studies, the processes are not

ideal for device application or for understanding the growth

kinetics, which is essential to integrating nanowires into the

CMOS process In this study, we have investigated the growth

kinetics of Si nanowires fabricated with Pt via the VLS

mecha-nism, and compared the results with those for nanowires

fabri-cated with Au

2 Experimental Silicon nanowires were fabricated by the conventional CVD pro-cess using silicon tetrachloride (SiCl4) as a precursor Using an E-beam evaporator, Si (1 1 1) wafers were coated with Au and Pt as catalysts, respectively, to a thickness of 5 nm Portions of the cata-lyst-coated substrates were then placed in a quartz tube inside a CVD furnace As the furnace temperature was increased, flow of di-luted H2(100 standard cubic centimeter per minute, sccm) and Ar (100 sccm) gas was initiated SiCl4 was carried into the reactor quartz tube by H2 that had been passed through a bubbler that maintained SiCl4in a liquid state at 0 °C To investigate the growth kinetics, processing time (1, 5, 10, and 20 min), temperature (900–

1100 °C), and SiCl4/H2concentration (5, 10, 15, and 20 sccm) were manipulated

3 Results and discussions Both Pt and Au successfully catalyzed the growth of Si nano-wires Fig 1 shows scanning electron microscopy (SEM) images and transmission electron microscopy (TEM) observations The SEM images shown inFig 1a and b reveal Si nanowires with diam-eters of 100 nm and lengths of severallm The Si nanowires in Fig 1a and b were grown under identical conditions with the exception of the metal catalyst that was used The figures show that the nanowires grew vertically on the substrate in both cases

It is well known that the epitaxial relationship between substrate and nanowires can be attributed to the vertical growth of nano-wires [7,8]and thus, similar to Au, Pt yields epitaxial interfaces between the nanowires and Si substrate The SEM image also shows that the Si nanowires grown using Pt was far longer than those grown using Au

0009-2614/$ - see front matter Ó 2008 Elsevier B.V All rights reserved.

* Corresponding author Fax: +82 2 365 5882.

E-mail address: hjc@yonsei.ac.kr (H.J Choi).

Contents lists available atScienceDirect Chemical Physics Letters

j o u r n a l h o m e p a g e : w w w e l s e v i e r c o m / l o c a t e / c p l e t t

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The TEM images and selected area electron diffraction (SAED)

patterns inFig 1c and d clearly show that the Si nanowires are

sin-gle crystalline, without any structural defects Alloy globules of

Pt–Si or Au–Si were formed at the tips of the nanowires An energy

dispersive spectroscopy (EDS) analysis across the catalyst-nanowire interface at the tip of an individual catalyst-nanowire clearly shows that Pt has operated as a VLS catalyst, like the Au catalyst (Fig 1e and f) Note that a Si-rich globule was formed when using

Fig 1 Synthesis of Si nanowires using Au and Pt as catalysts (a) Vertically-aligned Si nanowires using Au (b) Vertically-aligned Si nanowires using Pt Si nanowires using Pt are longer than those using Au (c) HRTEM image of Si nanowire using Au (d) HRTEM image of Si nanowire using Pt Both were single crystal (e) EDS line mapping of Si nanowires using Au catalyst (f) EDS line mapping of Si nanowires using Pt catalyst (g) HRTEM image of interfaces between the globule and nanowire grown with Pt Arrows indicates the platinum silicides showing different lattice fringe to Si (h) HRTEM image of interfaces between the globule and nanowire grown with Au.

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the Pt catalyst, while an Au-rich globule was formed when using

the Au catalyst One reason for this compositional difference may

be the differential solubility of Si in Pt and Au Specifically, the

sol-ubility of Si in Au is 18.6 at%[9], whereas in Pt it is as high as 67 at%

[10]at their eutectic points Therefore, it is possible that the Pt

cat-alyst under a liquid state has a Si-rich composition The

composi-tional differences may also be attributable to the formation of

platinum silicide upon cooling We characterized the catalyst

glob-ule/nanowires interfaces by HRTEM and observed platinum silicide

layers showing different lattice fringes from Si in the nanowires

grown with Pt (Fig 1g) However, no such layers were observed

at the interfaces with Au (Fig 1h)

holding time for the Pt and Au catalysts, respectively, at 1000 °C

with a SiCl4flow rate of 20 sccm The growth rate of the Si

nano-wires was constant with time in both cases This indicates that Pt

maintains a catalytic role throughout the growth of the Si

nano-wires, as does Au, without loss of components by chemical reaction

or evaporation Thus, it has been demonstrated that Pt is a stable

catalyst for the VLS mechanism The growth rate of Si nanowires

with Au was 5.20lm/min while Pt showed a 2.28 times faster

growth rate (11.86lm/min), with a 20 sccm SiCl4flow rate in both

cases

rate of SiCl4at 1000 °C The holding time was fixed at 20 min The

figure shows that the growth rate with Pt is higher than that with

Au under all flow rates of SiCl4 It also shows that the growth rate

decreased with the SiCl4flow rate and was nearly saturated at a

flow rate of 20 sccm The VLS process consists of four main steps:

(1) mass-transport in the gas phase; (2) chemical reaction on the

vapour–liquid interface; (3) diffusion in the liquid phase; and (4)

incorporation of Si atoms in a crystal lattice[11–14] Identification

of the rate-determining step among these steps is important for

understanding the kinetics However, this is very complicated,

since three phases, two interfaces (that is, vapour–liquid and

liquid–solid interfaces), and chemical reactions are involved[11]

Nevertheless, it may be possible to draw some insights based on

previous and current studies

Among those steps, step (3) can be excluded, since Si atoms

dif-fuse in liquid metals very quickly [12] and thick nanowires or

whiskers do not grow more slowly than thin nanowires while

the shape of the liquid droplet is maintained to be almost

hemi-spherical, and thus holds longer diffusion length [11] Step (1)

can also be excluded since the diffusion coefficient in the gaseous

phase usually follows a power law D = D0(T/T0)n(P/P0), n = 1.5–2 [11,12], and thus the growth rate should follow the power law However, this is not the case in the present study as well as in pre-vious studies[11–14]

The primary evidence for regarding step (2) as the rate-limiting step is that the growth rate is proportional to the partial pressure

of reactant gas However, this does not fully support the argument since the growth process consists of two activated steps in series [11] The dependence of the growth rate on the reactant vapour concentration is not in itself evidence that any of them is the rate-determining step Rather, it simply reflects the dependence

of the growth rate on supersaturation Furthermore, as shown in

20 sccm; i.e., in the present growth conditions, the growth rate is not proportional to the partial pressure of reactant gas Therefore, the rate-determining step would be step (4), incorporation of Si atoms in a crystal lattice Accordingly, Pt would affect this step, resulting in a different growth rate

We determined the activation energy for the growth of the Si nanowires, as shown in Fig 4, by plotting the growth rate with

0

50

100

150

200

Time (min)

Fig 2 Length of Si nanowires using Au and Pt versus time at holding temperature

0 50 100 150

SiCl4/H2 (sccm)

Fig 3 Growth rate versus SiCl 4 flow rate at 1000 °C.

Fig 4 Construction of log-scaled growth rate and reciprocals of growth

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Temper-temperature, assuming that the growth rate and temperature are

satisfied by the Arrhenius equation We determined the activation

energy with a SiCl4flow rate of 20 sccm Under these conditions,

the growth rate is saturated and thus supersaturation of the

cata-lyst is nearly maximized Therefore, step (2) can be excluded as the

rate-determining step.Fig 4shows that the growth rate does not

follow the power law of D = D0(T/T0)n(P/P0) for gas diffusion

coeffi-cient[11,12]but strongly depends on temperature This supports

the previous argument that step (1) is not the rate-determining

step FromFig 4, the calculated activation energy values were 80

and 130 kJ/mol for the Pt and Au catalysts, respectively These

val-ues are much higher than the activation energy for the diffusion of

Si atoms throughout most liquid metals ranges, i.e., between 10.5

and 36 kJ/mol, as well as the activation energy for Si diffusion in

Au–Si liquid (about 25 kJ/mol) and that in Pt–Si liquid (54 kJ/

rate-determining step Since steps (1)–(3) can be excluded again

as described above, it is concluded that step (4), incorporation of

Si atoms in a crystal lattice at the liquid/solid interfaces, is the

rate-limiting step under the present conditions, for both the Pt

and Au catalyst cases

The lower activation energy with Pt implies that step (4) is

dependent on the type of catalyst This could be explained by

the effect of the catalyst on the barrier energy to the nucleation

of a new step at the growth front of the nanowires (i.e., the

li-quid/solid interfaces where the incorporation of the Si atoms in a

crystal lattice occurs) The (1 1 1) plane of Si is a smooth surface

where the formation of a new lattice plane is difficult[17] and,

thus the incorporation of Si atoms on the plane is rather difficult

Under these conditions, the incorporation rate may critically

de-pend on the nucleation of new steps and the barrier to this

nucle-ation may depend on the metal catalyst It is noted that the

activation energy for the deposition of Si through a continuous

Pt–Si liquid film is lower than that through Au–Si films[18] This

is coincident with our observations and supports the argument

that Pt enhances the rate of incorporation of Si from the liquid

phase to the lattice

The present results suggest that Pt is a good candidate for the

VLS growth of Si nanowires However, the growth temperature of

the present study is sufficiently high to induce substantial dopant

diffusion and thus too high for application to CMOS processing

Nevertheless, the results illustrate some fundamental aspects of

growth kinetics of Si nanowire with Pt The development of a

CMOS compatible Si nanowire growth process using Pt as a VLS catalyst is potentially a fruitful direction for future research

4 Summary

Si nanowires were successfully synthesized using Au and Pt via the VLS mechanism The growth rate of Si nanowires using Pt was 2.3 times faster than that of Si nanowires using Au The rate-deter-mining step of the overall VLS mechanism under the present growth conditions was the incorporation of Si atoms in a crystal lattice at liquid/solid interfaces The difference in the activation en-ergy between two catalysts (i.e., 130 kJ/mol with the Au catalyst and 80 kJ/mol with the Pt catalyst) may be attributable to the effect

of the metal catalyst on the rate-determining step

Acknowledgments This work was supported by the Program of the National Re-search Laboratory (Grant R0A-2007-000-20075-0) of the Korean Ministry of Science and Technology (MOST), and the Korean Re-search Foundation (MOEHRD, KRF-2005-042-D00203)

References [1] R Wagner, W Ellis, Appl Phys Lett 4 (1964) 89.

[2] J Yoshino, Y Okamoto, J Morimoto, T Miyakawa, Appl Phys A 66 (1998) 323.

[3] E Garnett, W Liang, P Yang, Adv Mater 19 (2007) 2946.

[4] R He, P Yang, Nature Nanotechnol 1 (2006) 42.

[5] T Baron, M Gordon, F Dhalluin, C Ternon, Appl Phys Lett 89 (2006) 233111 [6] J Weyher, J Cryst Growth 42 (1977) 235.

[7] Y Wang, V Schmidt, S Senz, U Gosele, Nature Nanotechnol 1 (2006) 186 [8] T Stelzner, G Andra, E Wendler, W Wesch, R Scholz, U Gosele, S Christiansen, Nanotechnology 17 (2006) 2895.

[9] ASM International Handbook Committee, ASM Handbook, ASM International, Ohio, 1990.

[10] T Massalski, J Murray, L Bennett, H Baker, Binary Alloy Phase Diagrams, American Society for Materials, Florida, 1986.

[11] E.I Givargizov, J Cryst Growth 31 (1975) 20.

[12] T.I Kamins, R.S Williams, D.P Basile, T Hesjedal, J.S Harris, J Appl Phys 89 (2001) 2.

[13] K Lew, J Redwing, J Cryst Growth 254 (2003) 14.

[14] J Kikkawa, Y Ohno, S Takeda, Appl Phys Lett 86 (2005) 123109.

[15] W.C Yang, H Ade, R.J Nemanich, Phys Rev B 69 (2004) 045421.

[16] T.R Anthony, H.E Cline, J Appl Phys 43 (1972) 2473.

[17] I.V Markov, Crystal Growth for Beginners, World Scientific, 1995, p 41 (Chapter 1).

[18] A Levitt, Whisker Technology, Wiley–Interscience, 1970, p 68 (Chapter 3).

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