The chemical shielding and magnetizability relationship in ‎potassium-doped (5,0) zigzag SWCNT nanotube

In this study, the relationship between daimagnetic shielding (σd), paramagnetic shielding (sp+s´p) and 13C isotropic shielding tensors 13C(σiso) with Mulliken, NBO and QTAIM atomic charges and also the relationship between chemical shielding and magnetizability in (5,0) zigzag single Walled Carbon Nanotube (SWCNT) as potassium doped and without potassium are investigated using Density Functional Theory (DFT) based on Periodic Boundary Condition (PBC) approach at the PBEPBE/6-31G(d) level of calculation.The doped (5,0) zigzag SWCNT with potassium is converted to n-type more stable Carbon Nanotube.There are linear relationship between the Mulliken, NBO and QTAIM atomic charges with 13C isotropic chemical shielding (σiso) and with dia-magnetic shielding (σd) in the SWCNT with and without potassium doping.The relationships are nonlinear between the total para-magnetic shielding (σp+σ´p) and all charges in the potassium doped SWCNT. In the both of structures of potassium doped and without potassium SWCNT, there are strong linear correlation between the Total-atomic magnetizability (Χ(Ω)) and 13C isotropic chemical shielding (σiso).