Sweet J icon — Karplus equation calculator

Sweet J

Free Karplus Equation Calculator for NMR

Sweet J computes the vicinal 3J coupling constant from the dihedral angle and the electronegativity of the substituents, using either the Altona equation or a generalized Karplus equation. It is the standard desktop tool for dihedral angle analysis and NMR conformation studies.

Sweet J is free to download and use. It is part of the iNMR ecosystem for NMR processing and analysis.

Watch Sweet J in action on YouTube

Latest version:2.5
Released:April 23, 2026
What’s new:Recompiled for Apple Silicon; now available on the Mac App Store

Sweet J — Karplus equation calculator screenshot showing dihedral angle input and coupling constant output

Downloads

How it works

The Karplus equation relates the vicinal proton-proton coupling constant 3JHH to the H‑C‑C‑H dihedral angle φ. Sweet J extends this to the Altona generalization, which accounts for the electronegativity and orientation of substituents on both carbons, making it applicable to a broad range of molecular conformations.

When two residues on the same center are identical but carry different labels, Sweet J treats that center as chiral. The two residues receive higher CIP priority than the remaining substituents; their relative priority follows alphabetical order (case-sensitive).

Links

Empirical parameters for the Karplus equation (hetero- and homonuclear 3J)
A comprehensive collection of special-purpose Karplus equations with parameters, plots, applications and primary references.

References

Giuseppe Balacco
A Desktop Calculator for the Karplus Equation
J. Chem. Inf. Comput. Sci., 1996, 36 (4), pp 885–887
DOI: 10.1021/ci950227r

C.A.G. Haasnoot, F.A.A.M. DeLeeuw and C. Altona
The relationship between proton-proton NMR coupling constants and substituent electronegativities — I: An empirical generalization of the Karplus equation
Tetrahedron, 1980, 36, pp 2783–2792
DOI: 10.1016/0040-4020(80)80155-4

Martin Karplus
Vicinal Proton Coupling in Nuclear Magnetic Resonance
J. Am. Chem. Soc., 1963, 85 (18), pp 2870–2871
DOI: 10.1021/ja00901a059




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