Erratum: Otho-Para H 2 Conversion by Proton Exchange at Low Temperature: An Accurate Quantum Mechanical Study [Phys. Rev. Lett. 107 , 023201 (2011)]

P. Honvault, M. Jorfi, T. Gonzalez-Lezana, A. Faure, L. Pagani

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P. Honvault, M. Jorfi, T. Gonzalez-Lezana, A. Faure, L. Pagani. Erratum: Otho-Para H 2 Conversion by Proton Exchange at Low Temperature: An Accurate Quantum Mechanical Study [Phys. Rev. Lett. 107 , 023201 (2011)]. Physical Review Letters, 2012, 108 (10), 10.1103/PhysRevLett.108.109903 . hal-02870226

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# Erratum: Otho-Para H₂ Conversion by Proton Exchange at Low Temperature: An Accurate Quantum Mechanical Study
[Phys. Rev. Lett. 107, 023201 (2011)]

P. Honvault, M. Jorfi, T. González-Lezana, A. Faure, and L. Pagani

(Received 7 February 2012; published 8 March 2012)

DOI: 10.1103/PhysRevLett.108.109903

PACS numbers: 34.50.Lf, 82.20.Ej, 82.20.Pm, 95.30.Ft, 99.10.Cd

In the Letter [1], the rate coefficients in Fig. 2 were miscalculated. The corrected result is shown in the bottom figure. Actually, we used the cross sections shown in Fig. 1 [1] but we considered them in Å² and not in $a_0^2$. This caused an artificial increase of rate coefficients. In the correct calculations of rate coefficients, we used the cross sections in $a_0^2$. In connection with this revision, in the abstract the value of $4.15 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1}$ must be replaced by the value of $1.16 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1}$. At the 7th line from the top in the right column on page 3, the sentence is revised as “It slightly depends on temperature and keeps an almost constant value around $1.5 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$, which is about 1/17 of the (temperature independent) Langevin rate value $(2.5 \times 10^{-9} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1})$. At the 5th line from the top in the left column on the last page, the sentence is revised as “For example, at 10 K, the TIQM rate coefficient is $1.16 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$ while the SM value is $2.97 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$, yielding a decrease of 60%. Similarly, at 100 K, we have respectively $1.55 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$ and $2.10 \times 10^{-10} \text{ cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$. The new rate is thus 1.35 times smaller at that temperature.”

The main conclusions of the Letter [1] are unchanged. The corrected rate coefficients are still very different from the previous published rate coefficients.

We wish to thank Ronald McCarroll for having spotted the error.

<figure><img src="image_2.png" /><figcaption>FIG. 2 (color online). TIQM (solid line), SQM (dashed line), and SM (dotted line) rate coefficients (in $\text{cm}^3 \cdot \text{molecule}^{-1} \cdot \text{s}^{-1}$) as a function of the temperature for $H^+ + H_2(\nu=0, j=1) \rightarrow H^+ + H_2(\nu=0, j')$ (a) and $H^+ + H_2(\nu=0, j=0) \rightarrow H^+ + H_2(\nu=0, j')$ (b).</figcaption></figure>

[1] P. Honvault, M. Jorfi, T. González-Lezana, A. Faure, L. Pagani, Phys. Rev. Lett. **107**, 023201 (2011).