3J coupling refers to the experimental measurement of the two hydrogens that are bonds away in nuclear magnetic resonance (NMR) spectroscopy. The magnitude of the coupling (Hz) is related to the dihedral angles formed by the three covalent bond, following the Karplus relationshipi.[1] Likewise, RNA structures generated by molecular dynamic (MD) simulations can be evaluated by extracting the dihedral angle information and converting it into 3J couplings The figure on the left illustrats how the dihedral angles within an RNA are defined.[2] Particularly:
α = O3'(i-1)-P-O5'-C5'
β = P-O5'-C5'-C4'
γ = O5'-C5'-C4'-C3'
δ = C5′−C4′−C3′−O3′
ε = C4′−C3′−O3′-P(i+1)
ζ = C3′−O3′-P(i+1)-O5'(i+1)
ν1 = O4'−C1′−C2′−C3′
ν2 = C1'-C2′−C3′−C4′
ν3 = C2′−C3′−C4′−O4′
χ = O4′−C1′−N*−C*
Choose a dihedral angle:
Alpha
Beta
Yokoyama Wijmenga Marino All
Gamma
Yokoyama Wijmenga Marino Haasnoot All
Delta
Yokoyama Wijmenga Marino Haasnoot All
Epsilon
Yokoyama Wijmenga Marino All
Chi
ν1
ν2
ν3
Reference:
[1]. Karplus, M. Contact Electron‐Spin Coupling of Nuclear Magnetic Moments. J. Chem. Phys. 1959 30 (1), 11–15.
[2]. Condon, D. E.; Kennedy, S. D.; Mort, B. C.; Kierzek, R.; Yildirim, I.; Turner, D. H. Stacking in RNA: NMR of Four Tetramers Benchmark Molecular Dynamics. J. Chem. Theory Comput. 2015, 11 (6), 2729–2742.