Correction to “The Conformation of Thermoresponsive Polymer

Aug 16, 2017 - (1). Consequently, a minus sign is missing in front of eq 7 that should read ... d n n n. E. d n n n. 1. 4 exp. 4i. 2(. ) 2i. (. ) 2i. ...
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Correction to “The Conformation of Thermoresponsive Polymer Brushes Probed by Optical Reflectivity” Siddhartha Varma, Lionel Bureau,* and Delphine Débarre Langmuir 2016, 32(13), 3152−3163, doi: 10.1021/acs.langmuir.6b00138 This Article (Langmuir 2016, 32, 3152) contains typographical errors. In the Material and Methods section, eq 4 should read R(λ) =

nglass − n(0) nglass + n(0)



∫0

+∞

⎛ 2π 1 ∂n exp⎜ ⎝ λ 2n(z) ∂z

∫0

z

⎞ n(z′) dz′⎟ dz ⎠

In addition, the y-axis labeling in Figure S3 is misleading: the spectral reflectance curves are normalized by the reflectance of the bare coverslip at 400 nm, R(glass/water, 400 nm). A corrected version of the figure is shown below, in which the density at the wall in the inset in panel d was also corrected.

2



ACKNOWLEDGMENTS We thank Dr. Peter van Oostrum from the University of Natural Resources and Life Sciences, Vienna, Austria for pointing out these errors to us.

(1)

Consequently, a minus sign is missing in front of eq 7 that should read ⎞⎤ n2 1 ⎡ 4iπn1 ⎛ r1 = − exp⎢ ⎜h1 + d1 ⎟⎥ 4 ⎢⎣ λ ⎝ 2(n1 − n2) ⎠⎥⎦ ⎛ ⎛ − 2iπd n 2 ⎞ ⎛ − 2iπd n 2 ⎞⎞ 1 2 1 1 ⎟ − Ei⎜ ⎟⎟⎟ × ⎜⎜Ei⎜ ⎝ (n1 − n2)λ ⎠⎠ ⎝ ⎝ (n1 − n2)λ ⎠

(2)

Similarly, eq 8 should read r2 = −

⎡ d 2n w n2 ⎞⎤ 1 4iπ ⎛ ⎛ hs − h1*Φ1 ⎞ ⎜⎜n2⎜ ⎟⎟⎥ exp⎢ ⎟ + n1h1 + Φ2 4 2(n2 − n w ) ⎠⎥⎦ ⎠ ⎣⎢ λ ⎝ ⎝

⎛ ⎛ − 2iπd n 2 ⎞ ⎛ − 2iπd n 2 ⎞⎞ 2 w 2 2 ⎟ − Ei⎜ ⎟⎟⎟ × ⎜⎜Ei⎜ ⎝ (n2 − n w )λ ⎠⎠ ⎝ ⎝ (n2 − nw)λ ⎠

(3)

Figure 1.

Published: August 16, 2017 © 2017 American Chemical Society

8592

DOI: 10.1021/acs.langmuir.7b02630 Langmuir 2017, 33, 8592−8592