“…For a X-H group, R 2 relaxation rates are dependent on a linear combination of spectral density functions evaluated at five frequencies, J(0), J(ω H ), J(ω X ), J(ω X + ω H ), and J(ω X − ω H ), where ω H and ω X are the frequencies of H and X nuclei respectively at a given spectrometer field. 54 Assuming that dipole-dipole coupling dominates 1 H R 2 relaxation due to directly bonded carbon as well as neighboring protons within 4 Å, R 2,polyplex was expressed as a sum of R 2 relaxation rates 31,39,55
where d is the dipolar coupling constant given by
μ 0 is the permittivity of free space, γ H and γ C are the magnetogyric ratios of 1 H and 13 C respectively and h is the Plank’s constant. r HC is the distance of the aromatic and sugar protons to their directly bonded carbon (1.104 Å and 1.115 Å for base C–H bond and sugar C1′–H1′ bond respectively) and r HH are the distances to neighboring protons within 4 Å.…”