37 research outputs found
Single- and multi-walled carbon nanotubes viewed as elastic tubes with Young's moduli dependent on layer number
The complete energy expression of a deformed single-walled carbon nanotube
(SWNT) is derived in the continuum limit from the local density approximation
model proposed by Lenosky {\it et al.} \lbrack Nature (London) {\bf 355}, 333
(1992)\rbrack and shows to be content with the classic shell theory by which
the Young's modulus, the Poisson ratio and the effective wall thickness of
SWNTs are obtained as TPa, , , respectively.
The elasticity of a multi-walled carbon nanotube (MWNT) is investigated as the
combination of the above SWNTs of layer distance and the
Young's modulus of the MWNT is found to be an apparent function of the number
of layers, , varying from 4.70TPa to 1.04TPa for N=1 to .Comment: 4 pages, 1 figur
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The kinetics of the gas-phase reactions of selected monoterpenes and cyclo-alkenes with ozone and the NO3 radical
The relative rate method has been used to measure the room-temperature rate constants for the gasphase reactions of ozone and NO3 with selected monoterpenes and cyclo-alkenes with structural similarities to monoterpenes. Measurements were carried out at 298 ! 2 K and 760 ! 10 Torr. The following rate constants (in units of 10"18 cm3 molecule"1 s"1) were obtained for the reaction with ozone: methyl cyclohexene (132 ! 17), terpinolene (1290 ! 360), ethylidene cyclohexane (223 ! 57), norbornene (860 ! 240), t-butyl isopropylidene cyclohexane (1500 ! 460), cyclopentene (543 ! 94), cyclohexene (81 ! 18), cyclooctene (451 ! 66), dicyclopentadiene (1460 ! 170) and a-pinene (107 ! 13). For the reaction with NO3 the rate constants obtained (in units of 10"12 cm3 molecule"1 s"1) were: methyl cyclohexene (7.92 ! 0.95), terpinolene (47.9 ! 4.0), ethylidene cyclohexane (4.30 ! 0.24), norbornene (0.266 ! 0.029), cyclohexene (0.540 ! 0.017), cyclooctene (0.513 ! 0.029), dicyclopentadiene (1.20 ! 0.10) and a-pinene (5.17 ! 0.62). Errors are quoted as the root mean square of the statistical error (95% con!dence) and the quoted error in the rate constant for the reference compound. Combining these results with previous studies, new recommendations for the rate constants are presented. Molecular orbital energies were calculated for each alkene and the kinetic data are discussed in terms of the deviation from the structureeactivity relationship obtained from the rate constants for a series of simple alkenes. Lifetimes with respect to key initiators of atmospheric oxidation have been calculated suggesting that the studied reactions play dominant roles in the night-time removal of these compounds from the atmosphere