Addition/Correction pubs.acs.org/Langmuir
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