Chlorine activation indoors and outdoors via surface-mediated reactions of nitrogen oxides with hydrogen chloride (Proceedings of the National Academy of Sciences of the United States of America (2009) 106, 33, (13647-13654) DOI:10.1073/pnas.0904195106))

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Corrections STATISTICS Correction for ‘‘Sequential Monte Carlo without likelihoods,’’ by S. A. Sisson, Y. Fan, and Mark M. Tanaka, which appeared in issue 6, February 6, 2007, of Proc Natl Acad Sci USA (104:1760– 1765; first published Januar y 30, 2007; 10.1073/ pnas.0607208104). The authors note the following: It has been brought to our attention that the algorithm introduced in our paper (ABC- PRC) can produce a biased posterior sample, most noticeably through underestimation in distributional tails. This result occurs as the likelihood ratio in the sequential Monte Carlo incremental weights is approximated by using two unbiased Monte Carlo estimates. One way to avoid a biased posterior sample in the ABC-PRC algorithm is to directly evaluate the importance sampling distribution using a near-optimal back- wards kernel. Hence the need for the Monte Carlo estimate in the denominator of the likelihood ratio is circumvented, and an unbiased sampler is obtained. As such, a corrected ABC-PRC algorithm would be: ACKNOWLEDGMENT. The authors thank C. Robert and G. W. Peters for constructive discussion. COMMENTARY ENVIRONMENTAL SCIENCES, CHEMISTRY Correction for ‘‘A curvy, stretchy future for electronics,’’ by John A. Rogers and Yonggang Huang, which appeared in issue 27, July 7, 2009, of Proc Natl Acad Sci USA (106:10875–10876; first published June 30, 2009; 10.1073/pnas.0905723106). The authors note that on page 10875, right column, the sentence beginning on line 22, ‘‘For example, ultrathin sheets of silicon are flexible, for the same reason that any material in thin film form is flexible: bending strains are inversely proportional to thickness’’ should instead appear as ‘‘For example, ultrathin sheets of silicon are flexible, for the same reason that any material in thin film form is flexible: bending strains are directly proportional to thickness.’’ Correction for ‘‘Chlorine activation indoors and outdoors via surface-mediated reactions of nitrogen oxides with hydrogen chloride,’’ by Jonathan D. Raff, Bosiljka Njegic, Wayne L. Chang, Mark S. Gordon, Donald Dabdub, R. Benny Gerber, and Barbara J. Finlayson-Pitts, which appeared in issue 33, August 18, 2009, of Proc Natl Acad Sci USA (106:13647–13654; first published July 20, 2009; 10.1073/pnas.0904195106). The authors note that on page 13648, Equation 5 appeared incorrectly. Further, in Equation 6 on page 13649, the formula for nitryl chloride should have read: ClNO 2 . These errors do not affect the conclusions of the article. The corrected equations appear below. www.pnas.org/cgi/doi/10.1073/pnas.0908993106 NO ⫹ NO ⫺ 3 ⫹ HCl 3 ClNO ⫹ HNO 3 NO ⫹ 2 NO 3 ⫹ HCl 3 ClNO 2 ⫹ HNO 3 www.pnas.org/cgi/doi/10.1073/pnas.0909721106 www.pnas.org PNAS 兩 September 29, 2009 兩 vol. 106 兩 no. 39 兩 16889 –16890 CORRECTIONS www.pnas.org/cgi/doi/10.1073/pnas.0908847106