We determined the change in orientation of the electronic transition dipole moment with respect to the
membrane normal in the K, L, and M intermediates of bacteriorhodopsin using transient linear dichroism.
Purple membranes were oriented in a 14 T magnetic field and immobilized in a gel. The oriented purple
membranes were excited isotropically and the transient absorbance changes were detected with the sample
between two parallel polarizers. The absorbance changes were measured as a function of wavelength, time,
and angle between the orientation axis and polarizer direction. In this way, the transient changes in isotropic
absorbance, linear dichroism, and linear birefringence were determined with high accuracy. The Kramers−Kronig transform of the transient linear dichroism was in excellent agreement with the transient linear
birefringence and this served as a useful control on the reliability of the linear dichroism data. We developed
a novel formalism to extract the anisotropies, spectra and time courses of the photocycle intermediates in a
model−independent way from the combined analysis of the transient absorbance and linear dichroism data.
Whereas an analysis based on transient absorbance data alone is underdetermined, we show that in combination
with transient linear dichroism data a unique solution may be obtained for the early intermediates K, L, and
M. The analysis makes use of the constraints that (1) the sum of the populations of the K, L, and M intermediates
is constant in time and (2) the absorption for the M intermediate vanishes for λ ≥ 520 nm. For wild-type bR
at pH 7 (10 °C) we obtained in this way the following wavelength-independent anisotropies for the main
absorption band: r
bR = −0.145, r
K = −0.140, r
L = −0.132, and r
M = −0.139. Similar experiments were
carried out for the mutant D96A which allows more accurate experiments for the L and M intermediates
under various conditions of temperature and pH (pH 7, 20 °C; pH 4.7, 20 °C; pH 4.7, 10 °C). In all cases
there are very clear differences in the anisotropies and the sequence is always r
bR < r
K < r
M < r
L. The data
analysis is validated by the fact that the spectra and time courses of the intermediates are in excellent agreement
with previous work. Making the reasonable assumption that the order parameter characterizing the orientational
distribution is the same for each intermediate, the anisotropy changes translate into small orientational changes
for the transition dipole moment: ΔθK = −0.8 ± 0.2°, ΔθL = −1.7 ± 0.2°, ΔθM = −1.1 ± 0.3°. The largest
change occurs in the L intermediate. The angle with respect to the membrane normal is smaller in every
intermediate than in the ground state. The simplest interpretation of the results is that after the isomerization
of the C13−C14 double bond the C5−N direction remains approximately the same with the C5−C13 part of the
polyene chain tilting out of the plane of the membrane.