# The study of dielectric properties of the endohedral fullerenes

#### Abstract

Dielectric response of the metal nitride fullerenes is studied using the density functional theory at the all-electron level using generalized gradient approximation. The dielectric response is studied by computing the static dipole polarizabilities using the finite field method, i.e. by numerically differentiating the dipole moments with respect to electric field. The endohedral fullerenes studied in this work are Sc_{3}N@C68(6140), Sc_{3}N@C68(6146), Sc_{3}N@C70(7854), Sc_{3}N@C70(7960), Sc_{3}N@C76(17490), Sc_{3}N@C78(22010), Sc_{3}N@C80(31923), Sc_{3}N@C80(31924), Sc_{3}N@C82(39663), Sc_{3}N@C90(43), Sc_{3}N@C90(44), Sc_{3}N@C92(85), Sc_{3}N@C94(121), Sc_{3}N@C96(186), Sc_{3}N@C98(166). Using the Voronoi and Hirschfield approaches as implemented in our NRLMOL code, we determine the atomic contributions to the total polarizability. The site-specific contributions to the polarizability of endohedral fullerenes allowed us to determine the polarizability of two subsystems: the fullerene shell and the encapsulated Sc_{3}N unit. Our results showed that the contributions to the total polarizability from the encapsulated Sc_{3}N units are vanishingly small. Thus, the total polarizability of the endohedral fullerene is almost entirely due to the outer fullerene shell. These fullerenes are excellent molecular models of a Faraday cage.^

#### Subject Area

Nanoscience|Physics, Electricity and Magnetism|Physics, Condensed Matter|Engineering, Materials Science

#### Recommended Citation

Bhusal, Shusil, "The study of dielectric properties of the endohedral fullerenes" (2014). *ETD Collection for University of Texas, El Paso*. AAI1564663.

http://digitalcommons.utep.edu/dissertations/AAI1564663