International Journal of Pharmaceutics 286 (2004) 111–115
Estimation of the ethanol/water solubility profile from
the octanol/water partition coefficient
Stephen G. Machatha
∗
, Samuel H. Yalkowsky
College of Pharmacy, The University of Arizona, 1703 E. Mabel Street, Rm# 441, Tucson,
AZ 85721-0207, USA
Received 19 March 2004; received in revised form 7 July 2004; accepted 10 August 2004
Available online 1 October 2004
Abstract
While the ethanol/water solubility profiles of very polar and very non-polar drugs are monotonic, many semi-polar
drugs show a maximum solubility at an ethanol volume fraction (f
max
) between 0 and 1. A sigmoidal relationship was
observed between the value of f
max
and the log of the octanol/water partition coefficient (log K
ow
) of the solute. This re-
lationship reasonably predicts the value of the volume fraction of ethanol that gives maximum solubility (f
max
). Com-
bining this sigmoidal relationship with the previously reported linear relationship between the log K
ow
and the initial
slope of the plot of log solubility versus ethanol composition [Li, A., Yalkowsky, S.H., 1994. Solubility of organic so-
lutes in ethanol/water mixtures. J. Pharm. Sci. 83, 1735–1740] enables the estimation of the total ethanol/water solubility
profile.
© 2004 Elsevier B.V. All rights reserved.
Keywords: Ethanol/water solubility profile; Log-linear; Sigmoidal; Prediction of maximum solubility
1. Introduction
Various theories and models of cosolvency includ-
ing linear and parabolic models have been proposed
to predict drug solubility profiles. Paruta et al. (1964)
∗
Corresponding author. Tel.: +1 520 626 4308;
fax: +1 520 626 4063.
E-mail address: machatha@pharmacy.arizona.edu
(S.G. Machatha).
estimated solubility using a parabolic function of the
dielectric constant of the solvent mixture, and Martin
et al. (1979, 1981) proposed a parabolic relationship
between solute solubility and the solubility parame-
ter of a solvent mixture. Recently, Ruckenstein and
Shulgin (2003) applied fluctuation theory to generate
a new parabolic model to predict solubility in aqueous
mixed solvents.
Yalkowsky and Roseman (1981) and Rubino and
Yalkowsky (1984) first demonstrated a log-linear rela-
0378-5173/$ – see front matter © 2004 Elsevier B.V. All rights reserved.
doi:10.1016/j.ijpharm.2004.08.005