Energy behaviour for DNA translocation through graphene nanopores
Nanoparticles have considerable promise for many applications in electronics, energy storage, bioscience and biotechnologies. Here we use applied mathematical modelling to exploit the basic principles of mechanics and the 6–12 Lennard-Jones potential function together with the continuum approach, which assumes that a discrete atomic structure can be replaced by an average constant atomic surface density of atoms that is assumed to be smeared over each molecule. We identify a circular hole in a graphene sheet as a nanopore and we consider the molecular interaction energy for both single-strand and doublestrand DNA molecules assumed to move through the circular hole in a graphene sheet to determine the radius b of the hole that gives the minimum energy. By minimizing the interaction energy, we observe that the single-strand DNA and double-strand DNA molecules penetrate through a graphene nanopore when the pore radii b4 7.8 Å and b4 12.7 Å, respectively. Our results can be adopted to offer new applications in the atomic surface processes and electronic sensing
Nanoparticles have considerable promise for many applications in electronics, energy storage, bioscience and biotechnologies.
Fullerenes have attracted considerable attention in various areas of science and tech
nology. Owing to their exceptional physical, chemical, and biological properties,
they have many…
Here we use classical applied mathematical modeling to determine surface bind
ing energies between single-strand and double-strand DNA molecules interacting
with a graphene sheet. We…