Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-20T13:57:29.087Z Has data issue: false hasContentIssue false

Non-uniformity of temperatures along nanotubes in hot reactors and axial growth

Published online by Cambridge University Press:  30 August 2004

T. Laude*
Affiliation:
National Institute for Materials Science, Advanced Materials Laboratory, Namiki 1-1, Tsukuba, Ibaraki, 305-0044, Japan
Y. Matsui
Affiliation:
National Institute for Materials Science, Advanced Materials Laboratory, Namiki 1-1, Tsukuba, Ibaraki, 305-0044, Japan
Get access

Abstract

Non-uniformity of temperatures appears as a general rule in hot nanofiber synthesis reactors, where local variations of the balance between long-range radiative heat exchanges and short-range conductive heat exchanges are driven by size and composition of structures. Metal particles larger than a few tens of nanometer are radiation captors, when fiber bodies thinner than 10 nm are transparent. We note that typical gradient lengths correspond remarkably well to usual length of nanotubes (micron range), and increase with fiber radius. For anisotropically radiating reactors as well as for furnace-type reactors, difference between radiative and conductive environments allows temperature intervals as high as several hundred degrees. Practically, axial thermal gradients arise by fiber attachment to a metallic particle, eventually at each tip (ideally with different sizes or compositions), or by attachment to a hot wall (electrode, supporting substrate, or target). The resulting thermal gradients are unusually stiff, typically 10 K µm−1. We show that local temperature evolution in early stage of nucleation is triggered by dimension of attached particle(s). We show that a diffusion flux of adatoms induced by the axial thermal gradient is quantitatively consistent with a feeding flux, as measured for different reactors. In addition, we notice that the spontaneous minimization of free energy at fiber tip is such that a temperature drop favors axial extension.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Oberlin, A., Endo, M., Koyama, T., J. Cryst. Growth 32, 335 (1976) CrossRef
Louchev, O., Sato, Y., Kanda, H., Phys. Rev. E 66, 011601 (2002) CrossRef
Ijima, S., Ajayan, P.M., Ichihashi, T., Phys. Rev. Lett. 69, 3100 (1992) CrossRef
Guo, T., Nikolaev, P., Rinzler, A.G., Tomanek, D., Colbert, D.T., Smalley, R.E., J. Phys. Chem. 99, 10694 (1995) CrossRef
Crespi, V.H., Phys. Rev. Lett. 82, 2908 (1999) CrossRef
T. Laude, Ph.D. thesis, University of Tsukuba, March 2001; École Centrale Paris, March 2001 (Contact the author for a copy.)
Puretzky, A., Schittenhelm, H., Fan, X., Lance, M., Allard, L., Geohegan, D., Phys. Rev. B 65, 245425 (2002) CrossRef
Laude, T., Matsui, Y., Marraud, A., Jouffrey, B., Appl. Phys. Lett. 76, 3239 (2000) CrossRef
Ebbesen, T.W., Hiura, H., Fujita, J., Ochiai, Y., Matsui, S., Tanigaki, K., Chem. Phys. Lett. 209, 83 (1993) CrossRef
Iijima, S., Ichihashi, T., Nature 363, 603 (1993) CrossRef
Lee, C.J., Lyu, S.C., Cho, Y.R., Lee, J.H., Cho, K.I., Chem. Phys. Lett. 341, 245 (2001) CrossRef
Ajayan, P., Nugent, J., Siegel, R., Wei, B., Kohler-Redlich, Ph., Nature 404, 243 (2000) CrossRef
Hone, J., Whitney, M., Piskoti, C., Zettl, A., Phys. Rev. B 59, R2512 (1999) CrossRef
Y.S. Touloukian, R.W. Powell, C.Y. Ho, P.G. Klemens, Thermophysical properties of matter (IFI/Plenum, New York, Washington, 1970), Vol. 2, Thermal conductivity, p. 41
Advanced Ceramic Corporation, Measurements on pyrolitic BN, 22557 West Lunn Road, Cleveland, Ohio USA 44149 (unpublished)
Costa, J., Roura, P., Morante, J.R., Bertran, E., J. Appl. Phys. 83, 7879 (1998) CrossRef
L.B. Thomas, Fundamentals of Gas-Surface Interactions, proceedings of the Symposium of December 14-16 1966, San Diego, California, edited by H. Saltsburg, J.N. Smith, M. Rogers (Academic Press, New York and London, 1967), p. 346