NANO LETTERS
Vol. 9, 2009
2009 Vol. 9, No. 10 3669-3670
Ilja Czolkos, Jonas K. Hannestad, Aldo Jesorka, Ravindra Kumar, Tom Brown, Bo Albinsson, and Owe Orwar* Platform for Controlled Supramolecular Nanoassembly. Page 2482. This correction is to make the readers of the article “A Platform for Controlled Supramolecular NanoAssembly” aware of an addendum to eqs 1 and 2.1 A factor should be introduced on one side of these equations in order to completely describe the entire spreading phenomenon. Equations 1 and 2 in the original article need to be substitued by eqs 4 and 5, respectively Aspread ) g-1βtspread
2 πrspread β
tspread ) g
(4)
(5)
Equations 4 and 5 are derived from the equation for the spreading coefficient β for circular spreading.2
rspread log
( )
rspread drspread ) 2β R0 dt
(6)
Solving eq 6 yields
tspread )
[ ( ) ]
2 rspread rspread 1 log 4β R0 2
Aspread )
4πβtspread rspread 1 log R0 2
( )
(7)
(8)
so that the introduced factor depends on the ratio between the radii of the lipid spread rspread and the vesicle R0
( )
rspread ) g R0
( )
log
rspread 1 R0 2 4π
The function g thus describes how much shorter the time tspread for the lipid monolayer is to reach a target at distance rspread compared to the case where g is disregarded. Assuming
(9)
R0 ) 7.5 µm for the vesicle diameter (see Figure 1a in the original article), the maximum value that can be expected for rspread/R0 ) 10, for which g ∼ 0.14. This means that the lipid films reach each other approximately 7 times faster than we had previously estimated. Since the spreading process proceeds more rapidly than originally assumed, both the conclusions and considerations of the article remain unaffected. Moreover, a lipid system as discussed in this study can be designed even if the spreading coefficient is 1 order of magnitude lower than assumed here. Even for very large lipid spreads where rspread/R0 ) 50, g is still as low as 0.27 (3.7 times faster). For g to reach unity, that is, for the very case that is described by eqs 1 and 2, rspread/R0 would have to be excessively large; that is approximately 473 × 103.
References (1) Czolkos, I.; Hannestad, J. K.; Jesorka, A.; Kumar, R.; Brown, T.; Albinsson, B.; Orwar, O. Nano Lett. 2009, 9, 2482–2486. (2) Czolkos, I.; Erkan, Y.; Dommersnes, P.; Jesorka, A.; Orwar, O. Nano Lett. 2007, 7, 1980–1984.
NL902484A
10.1021/nl902484a Published on Web 08/13/2009
3670
Nano Lett., Vol. 9, No. 10, 2009
