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Formulas

The linewidths have the from

with

(Atherton 1993, p. 331). Δg and ΔA are the anisotropic parts
of the g and A matrix. X:Y indicates the sum over all elements of the
element-by-element product of the matrices X and Y. ΔA in the above
expressions is in *angular frequency units*.

If more than one nuclear spin are present in the paramagnetic molecule, the more general expression is

(Atherton 1993, p.332).

The nuclear quadrupole with the quadrupolar coupling matrix Q contributes

(Atherton 1993, p. 348).

The m_{I}-dependent values of 1/T_{2} are converted to
Lorentzian line widths (FWHM) in magnetic
field units by

References

- J. H. Freed, G. K. Fraenkel, J. Chem. Phys. 39, 326-348 (1963).
- N. M. Atherton, Principles of Electron Spin Resonance, Prentice Hall, 1993.