Phonon frequency distribution function in aligned multi-walled carbon nanotubes

2010 ◽  
Author(s):  
Poonam Silotia ◽  
Seema Dabas ◽  
Aditya Saxena ◽  
S. P. Tewari
Keyword(s):  
Carbon Nanotubes ◽  
Distribution Function ◽  
Frequency Distribution ◽  
Phonon Frequency ◽  
Frequency Distribution Function ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Dramatic Effect of the Utilized Theory on Frequency Distribution Function of Carbon Nanotubes

2013 ◽  
Vol 81 (2) ◽  
Author(s):  
Isaac Elishakoff ◽  
Yannis Bekel ◽  
Thomas Gomez
Keyword(s):  
Carbon Nanotubes ◽  
Distribution Function ◽  
Frequency Distribution ◽  
Surface Effects ◽  
Timoshenko Theory ◽  
Dramatic Effect ◽  
Frequency Distribution Function ◽  
Modal Density ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

In this study, we investigate the modal density of double-walled carbon nanotubes. Emphasis is placed on the effect of the utilized theory. Specifically, we compare the modal density obtained via classical Bernoulli–Euler theory with that obtained by employing the refined Bresse–Timoshenko theory with nonlocal and surface effects taken into account. We show that the effect of refinements is dramatic.

TABLES OF DEBYE FUNCTIONS

1966 ◽  
Vol 44 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Roger Howard ◽  
J. Grindlay
Keyword(s):  
Heat Capacity ◽  
Distribution Function ◽  
Frequency Distribution ◽  
Phonon Frequency ◽  
Heat Capacity Data ◽  
Frequency Distribution Function ◽  
Capacity Data ◽  
Negative Moments

Tables and asymptotic limits of the Debye functions[Formula: see text]are presented for n = 0.5, 1.0, 1.5, 2.0, 2.5. This information may be used to facilitate the calculation of the negative moments of the phonon frequency distribution function from the heat capacity data of crystals.

Multi-walled Carbon Nanotubes Penetrate into Plant Cells and Affect the Growth of Onobrychis arenaria Seedlings

Acta Naturae ◽  
2011 ◽  
Vol 3 (1) ◽  
pp. 99-106 ◽  
Author(s):  
E A Smirnova ◽  
A A Gusev ◽  
O N Zaitseva ◽  
E M Lazareva ◽  
G E Onishchenko ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Plant Cells ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes
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