Thermodynamic calculations on the catalytic growth of multiwall carbon nanotubes
Christian Klinke, Jean-Marc Bonard, Klaus Kern

TL;DR
This paper presents a thermodynamic model for the catalytic growth of multiwall carbon nanotubes, highlighting the role of concentration gradients over temperature gradients in the growth process.
Contribution
The study introduces an analytical thermodynamic model that predicts growth time and rate based on heat and carbon concentration distributions.
Findings
Growth driven mainly by concentration gradient within catalyst
Derived analytical formulas for growth time and rate
Heat distribution and carbon concentration computed in catalyst
Abstract
We have developed a thermodynamic model of the catalytic growth of multiwall carbon nanotubes from hydrocarbon precursors at elevated temperature. Using this model we have computed the heat distribution, and carbon concentration in the catalyst. Calculations delivered a analytical formula for the growth time and growth rate. We find that the growth is mainly driven by a concentration gradient within the catalyst, rather than a temperature gradient.
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