Modeling the join curve between two co-axial carbon nanotubes

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 63, Issue 2, 2012, Pages 331-338

  Baowan, Duangkamon ^a   Cox, Barry J ^b   Hill, James M ^b  

^a Mahidol University   (Thailand)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Calculus of variations; Carbon nanotubes; Joining; Nanostructures

Indexed keywords

AXIAL SYMMETRY; CALCULUS OF VARIATIONS; CARBON NANOTUBES (CNTS); CO-AXIAL; CONVENTIONAL METHODS; NON-DIMENSIONAL PARAMETERS; NUMERICAL VALUES; STANDARD METHOD; THREE-DIMENSIONAL PROBLEMS; TWO-DIMENSION;

JOINING; MATHEMATICAL MODELS; NANOSTRUCTURES; NUMERICAL METHODS; TUBES (COMPONENTS);

CARBON NANOTUBES;

EID: 84859515970     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-011-0140-5     Document Type: Article

References (8)

1. Baowan D., Cox B. J., Hill J. M.: A continuous model for the joining of two fullerenes. Phil. Mag. 88, 2953-2964 (2008).
2. Byrd P. F., Friedman M. D.: Handbook of Elliptic Integrals for Engineers and Scientists, 2nd edn. Springer, Berlin (1971).
3. Cox B. J., Hill J. M.: Exact and approximate geometric parameters for carbon nanotubes incorporating curvature. Carbon 45, 1453-1462 (2007).
4. Cox B. J., Hill J. M.: A variational approach to the perpendicular joining of nanotubes to plane sheets. J. Phys. A 41, 125203 (2008).
5. Dresselhaus M. S., Dresselhaus G., Eklund P. C.: Science of Fullerenes and Carbon Nanotubes, 1st edn. Academic Press, California (1995).
6. Dresselhaus M. S., Dresselhaus G., Saito R.: Physics of carbon nanotubes. Carbon 33, 883-891 (1995).
7. Saito R., Dresselhaus M. S., Dresselhaus G.: Tunneling conductance of connected carbon nanotubes. Phys. Rev. B 53, 2044-2050 (1996).
8. Zang J., Treibergs A., Han Y., Liu F.: Geometric constant defining shape transitions of carbon nanotubes under pressure. Phys. Rev. Lett. 92, 105501 (2004).