J. Phys. Chem. B, Vol. 111, No. 49, 2007 13867
ADDITIONS AND CORRECTIONS 2007, Volume 111B Mitsuhiro Kanakubo,* Kenneth R. Harris,* Noriaki Tsuchihashi, Kazuyasu Ibuki, and Masakatsu Ueno: Effect of Pressure on Transport Properties of the Ionic Liquid 1-Butyl-3-methylimidazolium Hexafluorophosphate Pages 2062-2069. We have found two errors in this paper. First, there was an error in the spreadsheet formulas used in the calculation of the like-ion velocity correlation coefficients obtained with eqs 7 and 8, each in the first term. Although the corrected normalized VCC isotherms still have very similar pressure dependences, there is a greater spread in the ratios fij/ fij(0.1 MPa), more so at 70 °C than at 50 °C (see revised Figure 4 below). We also see this in normalized VCCs for other
∆)
c(2f+- - f++ - f--) (D+ + D-)
(10)
where ∆ is the Nernst-Einstein deviation parameter, the fij are velocity correlation coefficients, and the Di are ionic selfdiffusion coefficients. c is the amount concentration (molarity) of the ionic liquid. This expression gives values of ∆ in accord with those reported, which were calculated directly from eq 6. It should be noted that an equivalent form of this equation, derived for electrolyte solutions, but also applicable to molten salts with the appropriate fij,1 was originally given by Hertz.2 See also refs 3-7. Supporting Information Available: Numerical data for D+ (Table S1), D- (Table S2), and κ (Table S3), and corrected VCCs (Table S4). This material is available free of charge via the Internet at http://pubs.acs.org. References and Notes
Figure 1. Pressure dependence of the normalized velocity correlation coefficients [fij/fij(0.1 MPa)] at 25, 50, and 70 oC. Symbols as in Figure 3 of original paper.
imidazolium-cation based ionic liquids obtained since publication of the [BMIM]PF6 results: these will appear in a later publication. A revised Table S4 can be found in the Supporting Information. f+- values at 25 °C are also now included. Second, eq 10 is incorrect. It should read
(1) Scho¨nert, H. J. Phys. Chem. 1984, 88, 3359. (2) Equation 51 in Hertz, H.-G. Ber. Bunsen-Ges. Phys. Chem. 1977, 81, 656. (3) Equation 26 in Woolf, L. A.; Harris, K. R. J. Chem. Soc., Faraday Trans. 1 1978, 74, 733. (4) Equation 34 in Geiger, A.; Hertz, H.-G. J. Chem. Soc., Faraday Trans. 1 1980, 76, 135. (5) Equation 24 in Weinga¨rtner, H.; Bertagnolli, H. Ber. Bunsen-Ges. Phys. Chem. 1986, 90, 1167. (6) Rainieri, F. O.; Timmermann, E. O. J. Chem. Soc., Faraday Trans. 2 1986, 82, 1339. (7) Rainieri, F. O.; Timmermann, E. O. J. Chem. Soc., Faraday Trans. 2 1986, 82, 1351. 10.1021/jp709609e Published on Web 11/08/2007