Interaction of double-strand DNA inside single-walled carbon nanotubes

Journal Article
مستخلص المنشور: 

Deoxyribonucleic acid (DNA) is the genetic material for all living organisms, and as a
nanostructure offers the means to create novel nanoscale devices. In this chapter, we
investigate the interaction of deoxyribonucleic acid inside single-walled carbon nan
otubes. Using classical applied mathematical modeling, we derive explicit analytical
expressions for the encapsulation of DNA inside single-walled carbon nanotubes. We
adopt the 6-12 Lennard-Jones potential function together with the continuous ap
proach to determine the preferred minimum energy position of the dsDNA molecule
inside a single-walled carbon nanotube, so as to predict its location with reference
to the cross-section of the carbon nanotube. An analytical expression is obtained
in terms of hypergeometric functions which provides a computationally rapid pro
cedure to determine critical numerical values. We observe that the double-strand
DNA can be encapsulated inside a single-walled carbon nanotube with a radius larger than 12.30 ˚A, and we show that the optimal single-walled carbon nanotube to enclose a double-stranded DNA has radius 12.8 ˚ A.