## Abstract

A sign error in the equations for the mixing correction factors *η* and *ζ* from [Phys. Rev. A **77**, 012512 (2008)] was identified. These equations were used in our article [Opt. Express **20,** 21379 (2012)], resulting in a miscalculation of the corrected hyperfine constants and nuclear octupole moment. The revised values are presented.

© 2013 OSA

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### Equations (3)

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(1)
$$\eta =\frac{{\left(-1\right)}^{J-{J}^{\prime}}}{{E}_{\gamma J}-{E}_{{\gamma}^{\prime}{J}^{\prime}}}\frac{\left(I+1\right)\left(2I+1\right)}{I}{\mu}^{2}{\left[\u3008\gamma J\Vert {T}_{1}^{e}\Vert {\gamma}^{\prime}{J}^{\prime}\u3009\right]}^{2}$$
(2)
$$\zeta =\frac{{\left(-1\right)}^{J-{J}^{\prime}}}{{E}_{\gamma J}-{E}_{{\gamma}^{\prime}{J}^{\prime}}}\frac{\left(I+1\right)\left(2I+1\right)}{I}\sqrt{\frac{2I+3}{2I-1}}\mu Q\u3008\gamma J\Vert {T}_{1}^{e}\Vert {\gamma}^{\prime}{J}^{\prime}\u3009\u3008{\gamma}^{\prime}{J}^{\prime}\Vert {T}_{2}^{e}\Vert \gamma J\u3009$$
(3)
$$\mathrm{\Omega}\left({}^{137}{\text{Ba}}^{+}\right)=-0.04885\left(53\right)\left({\mu}_{\text{N}}\times \text{b}\right).$$