Electric birefringence study of the purple membrane of Halobacterium halobium

An electric birefringence study was carried out on aqueous suspensions of the purple membrane of Halobacterium halobium. In addition to the characterization of both native and modified membrane samples, the dependence of electric birefringence on pH and ionic strength was also investigated. The results indicate that purple membrane shows electric birefringence at a field strength as low as 200 V/cm. The permanent dipole moment and polarizability ranged from 20,500 debyes and 1.01 × 10^?14 cm³ for a purple membrane concentration of 0.40 mg/mL to 41,000 debyes and 2.05 × 10^?14 cm³ for a concentration of 0.80 mg/mL. It was also found that removal of the retinyl group of bacteriorhodopsin substantially decreases but does not eliminate the electric birefringence of the membrane. The solubilization of the membrane by Triton X-100, however, completely abolishes the electric birefringence. These experiments indicate that there is an interaction between adjacent bacteriorhodopsin molecules within the purple membrane via the retinyl chromophore moiety that builds up the permanent dipole moment. They also suggest that there are two types of response when purple membrane suspensions are placed in an electric field. One is an alignment of the disk-shaped particles with the field. The other is a stacking of the particles following their alignment by the electric field, which is promoted by the induced dipole moment.     

Electrical and hydrodynamical properties of polypeptides in solution. I. Poly(L-glutamic acid) in methanol-water mixtures

The electric birefringence of poly(L -glutamic acid) (PLGA) in methanol–water mixtures has been measured by the use of the rectangular pulse technique at 25°C. The permanent dipole moment, the anisotropy of electrical polarizability, and the optical anisotropy factor of PLGA in solution were obtained from the dependence of the steady-state birefringence on the electric field strength. Further, the mean length of PLGA in solution was calculated by a parameter method developed for analyzing the decay curve of electric birefringence. The permanent dipole moment per unit length obtained from these studies was 2.9₆, 2.4₈, 2.3₀, 2.6₆ D/Å in pure methanol, 10, 30, and 50 vol-% water, respectively. The increase of water content caused the decrease of the mean length and broadened the length distribution of PLGA. These results are discussed in relation to the viscosity and the electrical conductivity of PLGA solutions.     

Electric birefringence studies on polyglutamic acid.

The electric birefringence for the aqueous solution of poly-L -glutamic acid (PGA) in the helical form was studied. PGA samples were fractionated by gel column chromatography. PGA showed a positive electric birefringence. The permanent dipole moment of the PGA molecule was suggested to be largely suppressed. The measurements of the intrinsic Kerr constants for various molecular lengths showed that the electric anisotropy (polarizability) of PGA is proportional to the 1.5 power of the length. The electric birefrigence measurement was also carried out in the helix–coil transition region. The Kerr constant of PGA was largely reduced on going from the helical form to the coiled form.     

Electric and optical anisotropy and their osmotically induced changes of photoreceptor disk membrane vesicles

Electro-optical characterization of the photoreceptor disk membrane vesicle is performed by examining the electric field and concentration dependence of the steady-state birefringence of aqueous suspensions of the vesicles. The electric polarizability anisotropy is found to be negative and of large magnitude: α₁ ?α₂ = ?(1?3) × 10^?10 cm³. The optical anisotropy is determined to be also negative but of small magnitude: g₁ ?g₂ = ?1 × 10^?7. The specific Kerr constant deduced from the concentration dependence of the Kerr constant is found to be very large: K_sp = 7 × 10^?4 c.s.u. Upon deforming the vesicles osmotically from the spherical shell to the disk structure, the steady-state birefringence increases by an order of magnitude which is attributed solely to the increase in optical anisotropy attending the corresponding change in the geometric eccentricity of the vesicle. A plausible birefringence mechanism based on the known structural features of the vesicles is proposed, which would account for these findings.     

Electric birefringence of bacterial flagellar protein filaments: evidence for field-induced interactions.

The time course for the build-up and decay of birefringence induced by a rectangular voltage pulse was measured on solutions of flagellar filaments from Salmonella equi-abortus (strain SJ25). These filaments are tubular polymers of protein (degree of polymerization ≈ 10³) constituted by non-covalent linkage of flagellin monomers of molecular weight 4 × 10⁴. The effect on electro-optical properties of solutions of filaments due to variations in temperature, concentration and mean length of protein filaments, and the duration and intensity of the applied electric field is described. Analysis of the field intensity dependence of the birefringence and comparison of the build-up and decay processes indicate that orientation in the field is due primarily to the existence of a permanent dipole moment in the filaments. At 18 °C the following values were obtained for a solution of filaments with mean length and standard deviation of 0.39 and 0.30 μm: specific Kerr constant (K_sp) = 6.14 × 10⁻³ electrostatic units; optical anisotropy factor (g₁ — g₂) = 5.66 × 10⁻³; dipole moment (μ) = 1.01 × 10⁵ Debye units; and mean relaxation time ($\text{}\text{̄}$gt) = 9.20 ms. At temperatures below 20 °C there is a marked increase in the optical anisotropy factor of the filaments which may be due to a change in their flexibility. The large values of K_sp obtained indicate the highly responsive nature of these filaments to an electric field. The birefringence decay curves were decomposed by computer into a specified number of exponential terms from which both the mean length and the size distribution of these polydisperse filaments were calculated. The results obtained were in substantial agreement with the values of these parameters observed by electron microscopy. A cumulative field effect dependent on field intensity and filament concentration was observed. Repeated pulsing of electric field, above threshold values of field intensity and filament concentration, produced decreases in the birefringence near 60% of its initial value. The effect was reversible with a time constant greater than two minutes. No appreciable change in the relaxation time for decay of birefringence was observed on multiple pulsing of these solutions. These results are interpreted consistently to arise from the sidewise aggregation of filaments induced by electrical impulses of sufficient intensity and duration. These properties appear relevant to bacterial motility: variations in electric potential along the membrane of the bacterium might serve first to orient these organelles and then to induce their coalescence to “bundles” of filaments. The latter structures are commonly observed in vivo. In this way the activity of flagella might be co-ordinated.     

Electro-optic scattering studies on deoxyribonucleic acid

Measurements have been made of the intensity of light scattered from aqueous solutions of calf thymus DNA with and without the application of electric fields. For fields approaching 150 V/cm and frequencies below 2.5 KHz, changes (ΔI) of up to 10% in the residual scattered intensity were observed. In agreement with previous dielectric and electric birefringence measurements, a low frequency dispersion of ΔI was observed, from which a rotary diffusion constant (D) of 1200 s^?1 was determined. Interpreting the electric field data in terms of the classical dipolar orientation theory led to values of 2.4 × 10^?25 cm (7.4 × 10^?14 esu) and 4.3 × 10^?25 cm (13 × 10^?14 esu) for the permanent dipole moment and the anisotropy of the electric polarisabilities respectively. Furthermore the permanent dipole moment was along the major molecular axis and the particles orientated in the field as rigid entities. The zero field data indicated a molecular shape which was not rodlike but corresponded to the Kratky-Porod “stiffness” parameter of x = 24 for the wormlike coil model. Although curved, the molecules appeared to orientate in low-intensity electric fields as rigid, but not rodlike molecules. The implications of this on recent discrepancies in D determined by two or more dynamic relaxation methods is briefly discussed.     

Electric birefringence of restriction enzyme fragments of DNA: optical factor and electric polarizability as a function of molecular weight

The electric birefringence of restriction enzyme fragments of DNA has been investigated as a function of DNA concentration, buffer concentration, and molecular weight, covering a molecular weight range from 80 to 4364 base pairs (bp) (6 × 10⁴–3 × 10⁶ daltons). The specific birefringence of the DNA fragments is independent of DNA concentration below 20 μg DNA/ml, but decreases with increasing buffer concentration, or conductivity, of the solvent. At sufficiently low field strengths, the Kerr law is obeyed for all fragments. The electric field at which the Kerr law ends is inversely proportional to molecular weight. In the Kerr law region the rise of the birefringence is accurately symmetrical with the decay for fragments ≤ 389 bp, indicating an induced dipole orientation mechanism. The optical factor calculated from a 1/E extrapolation of the high field birefringence data is ?0.028, independent of molecular weight; if a 1/E² extrapolation is used, the optical factor is ?0.023. The induced polarizability, calculated from the Kerr constant and the optical factor, is proportional to the square of the length of the DNA fragments, and inversely proportional to temperature. Saturation curves for DNA fragments ≤ 161 bp can be described by theoretical saturation curves for induced dipole orientation. The saturation curves of larger fragments are broadened, because of a polarization term which is approximately linear in E, possibly related to the saturation of the induced dipole in high electric fields. This “saturated induced dipole” is found to be 6400 D, independent of molecular weight. The melting temperature of a 216-bp sample is decreased 6°C in an electric field of 8 kV/cm, because the lower charge density of the coil form of DNA makes it more stable in an electric field than the helix form.     

Electric and hydrodynamic properties of polypeptides in solution. 3. Aggregation of poly(L-glutamic acid) in aqueous methanol solvents studied by electric birefringence

The rise and decay of electric birefringence for poly(L -glutamic acid) (PLGA) in aqueous solvents containing 20 and 10 vol % methanol have been found to be unusual. The decay curves have been analyzed on the assumption that there exist two kinds of particles, namely, one (component I) with a shorter relaxation time exhibiting positive birefringence and the other (component II) with a longer relaxation time exhibiting negative birefringence at low fields. From the field strength dependence of the steadystate birefringence the permanent dipole moment, the anisotropy of electric polarizability, and the saturation value of birefringence have been determined for each component. Furthermore, from the relaxation time the length of component I and the diameter of component II have been computed on the models of cylindrical rod and oblate ellipsoid, respectively. The dipole moment, the anisotropy of electric polarizability, and the relaxation time of component II are much larger than those of component I. Both the anisotropy of electric polarizability and the optical anisotropy factor are positive in sign for component I and negative for component II. It is concluded that component I is the helical PLGA molecule itself and component II is the side-by-side (antiparallel) aggregate composed of many helical PLGA molecules. The optical anisotropy factor of each component has been discussed on the basis of Peterlin-Stuart theory.     

Differences in the electric birefringence of spectrin dimers and tetramers as shown by the fast reversing electric pulse method

The electric birefringence of purified Spectrin has been examined in medium of low ionic strength ai 20°C and for electric fields smaller than 4 × 10⁴ V m^?1. using the reversing electric pulse method. This technique allows study of the permanent and induced dipole electric moment of macromolecules more easily than in measurements using only rectangular pulses. We show that spectrin heterodimers and heterotetramers have different electro-optical properties. The relaxation time of the tetramer (7 μs) is significantly longer than that of the dimer (4.5 μs). Tetramers and dimers have also different polarizability parameters.     

Electric and hydrodynamic properties of polypeptides in solution. II. Conformation of poly(L-glutamic acid) in various organic solvents

The electric birefringence of poly(L -glutamic acid) (PLGA) in methanol, dimethyl sulfoxide, dimethylformamide, N-methylacetamide, trifluoroacetic acid, dioxane–water mixtures (3:1 and 4:1 by volume), and dioxane–formamide mixture (1:1 by volume) has been measured by the use of the rectangular pulse technique at 30 °C. The intrinsic viscosity has also been measured at the same temperature. The magnitude of the specific Kerr constant and the intrinsic viscosity suggests that PLGA is helical and has a large dipole moment in methanol, dimethyl sulfoxide, dimelhylformamide, N-methylacetamide, and dioxane–water mixtures. In this case we have obtained the length distribution curve and the mean length of PLGA molecules from the decay of the electric birefringence, by applying the method recently developed for helical polypeptides. Furthermore, we have proposed and applied a method of obtaining the mean dipole moment and the optical anisotropy factor from the field strength dependence of the electric birefringence for polydisperse systems on the basis of the knowledge on the length distribution. The results show that PLGA may have a different helical conformation in dimethyl sulfoxide. The specific Kerr constant of PLGA in trifluoroacetic acid is very small, which suggests that PLGA is a random coil in this solvent.     

The optical birefringence of DNA solutions induced by oscillatory electric and hydrodynamic fields

The optical birefringence induced in DNA solutions by both oscillating hydrodynamic fields (flow birefringence) and oscillating electric fields (Kerr effect) is measured over a wide frequency range. The observed frequency response of the birefrigence is compared with theories for rigid ellipsoidal particles and for Gaussian chains. DNA at 6 × 10⁵ molecular weight is found to exhibit rigid particle hydrodynamic behavior, while DNA at 5 × 10⁶ molecular weight behaves like a flexible chain. Characterization of the hydrodynamic relaxation spectra for the DNA's by oscillatory flow birefringence allows precise comparison between theory and the experimental Kerr effect response. The dielectric model for DNA contains both permanent and dispersionless induced dipole moments. The dielectric behavior of DNA has the character of a permanent dipole but with anomalous low-frequency dispersion in the Kerr effect. The existing theories do not adequately describe this dispersion. A fluctuation dipole mechanism with relaxation times comparable to those associated with the hydrodynamic motion could possibly demonstrate the observed polar behavior.     

Reversing-pulse electric birefringence of poly(γ-benzyl-L-glutamate). III. The temperature dependence of the transient and steady-state behavior in cyclohexanone

The reversing-pulse electric birefringence (RPEB) technique was applied to the study of the temperature effect on the electrooptical and hydrodynamic properties of a fractionated [Glu(OBzl)]_n sample, which is molecularly dissolved in cyclohexanone. The aim was to develop a standard analytical method for thermal denaturation and temperature-induced conformational transitions. The field-on reverse and steady-state signal, and the field-off decay signal, were measured at 535 nm and at a constant low field strength (ca. 3 kV/cm) over a wide temperature range (5–90°C). The steady-state birefringence and the relaxation time in the decay process were also measured at two constant temperatures (5 and 70°C) over a wide field strength range (E ≤ 20 kV/cm). By the combination of these two different sets of RPEB measurements, the unwanted effect of the high pulse field on polymer conformation at elevated temperatures could be minimized. Together with the density and viscosity of cyclohexanone measured between 5 and 95°C, the following quantities could be evaluated: the weight-average permanent dipole moment and polarizability anisotropy, the reduced optical anisotropy factor (Δg/n), the weight-average length, and the degree of polydispersity. All these quantities, except for Δg/n, were found to be almost independent of temperature (5–90°C) and concentration (1.54–4.27 mM).     

Structural changes in bacteriorhodopsin induced by electric impulses

Electric impulses of high field intensity (2 × 10⁵ to 3 × 10⁶ Vm^?1, 1 to 20 μs duration) cause transient changes in the optical absorbance of suspended purple membranes of Halobacterium halobium. The electric dichroism at 1 mm NaCL, pH ≈ 6 and at 293K is dependent on field strength, pulse duration and wavelength of the monitoring, plane-polarized light in the range 400 to 650 nm. The optically detected processes are, however, independent of bacteriorhodopsin concentration, of ionic strenght and of the intensity of the monitoring light. These data together with the analysis of time course ands steady state of the reduced dichroism, suggest electric field-sensitive, intramemembraneous structural changes which lead to restricted orientation changes of the chromophore. A thoretical analysis of restricted orientation is developed and applied to the electro-optic data. As a result, it is found that the electric dichroism of purple membrane is associated with a large polarizability anisotropy of 2.4 × 10^?30 Fm² (2.2 × 10^?14 cm³); the electric permanent dipole moment which is involved amounts to 4.7 × 10^?28 Cm(140 Debye). The kinetic data suggest a cyclic reaction scheme with at least five different conformations. The high polarizability is probably due to displaceable ionic groups within the cooperative lattice of bacteriorhodopsin molecules in purple membranes.     

Electric birefringence of poly-L-lysine hydrobromide in methanol-water mixtures and helix-coil transition induced by high electric fields

The electric birefringence of poly-L -lysine hydrobromide in methanol–water mixtures has been measured at 25 °C over a wide range of field strengths by use of the rectangular pulse technique. An abrupt change in the specific Kerr constant was observed between 87 and 90 vol % methanol, corresponding to the solvent-induced helix–coil transition. The specific Kerr constant increased rapidly with dilution in the random coil form, and more slowly in the helical conformation. The field strength dependence of the bire fringence at various concentrations, for both the helical and coil conformations, can be described by a common orientation function, which resembles the theoretical one for the case of permanent dipole moment orientation. This is interpreted in terms of the saturation of ion–atmosphere polarization. The optical anisotropy for the helical conformation was much larger than that for the coil form. Anomalous birefringence signals were observed above a critical field strength (about 5 kV/cm) in 90 vol % methanol. The birefringence passed through a maximum and began to decrease slowly before the pulse terminated, reaching a steady-state value. This steady-state value was closer to that of the coil in the coil in the limit of very high fields. The results indicate that a transition from the charged helix to the charged coil is induced by high electric fields in the transition region. This effect can be explained on the basis of the polarization mechanism proposed by Neumann and Katchalasky.     

Dichroism of TMV in pulsed electric fields

The linear dichroism induced in a solution of electrically anisotropic molecules by a pulsed electric field has been studied. Equations have been obtained which express the dichroism as a function of dipole moment, excess polarizability, field strength, and the angle α between the dipole moment and the transition moment for the absorption band. These expressions have been related to the experimentally observed difference signal in such a way that when the dichroism is measured as a function of field strength the permanent moment, excess polarizability and angle a can be determined. Experiments have been carried out on tobacco mosaic virus (TMV), which is similar in its properties to the theoretical model. The polarizability anisotropy and rotary diffusion constant for the monomer and dimer of TMV have been obtained from these experiments. In addition to the molecular parameters mentioned above, the saturated electric dichroism of the virus was measured as a function of wave length and the presence of an n–π* transition in the tryptophan spectrum was indicated. Further experiments measuring dichroism as a function of pH demonstrated the general denaturation of the virus at high pH (10–11) but also the existence of a stable fraction which is not fragmented even at the high pH involved.     

Transient electric birefringence of T-even bacteriophages. I. T4B in the absence of tryptophan and fiberless T4 particles

Measurements of the electric birefringence of suspensions of T4B in the absence of tryptophan and of fiberless T4 particles show that both kinds of particles are hydrodynamically equivalent. Their rotational diffusion coefficients corrected to 25°C and water viscosity (D_25,w) are 280 ± 9 sec^?1 and 295 ± 10 sec^?1, respectively. These corrected rotational diffusion coefficients are almost independent of buffer concentration and temperature. The sedimentation coefficient (s_20,w) of T4 B is equal to 1023 ± 12 S, a value which is likewise independent of buffer concentration. By analysis of the field strength dependence of the steady-state birefringence and by reversing pulse experiments it could be shown that the orientation in an electric field is largely due to a permanent dipole moment. This dipole moment is somewhat dependent on buffer concentration and amounts to about 24,000 debye for T4B and 95,000 debye for fiberless T4. An approximate calculation shows that the difference in dipole moment may be ascribed to positive charges on the fiber tip (at least ten per fiber), to negative charges along the fiber or (and) positive charges on the fiberless particle at those places where the fibers are attached in normal particles.     

Transient electric birefringence of T-even bacteriophages. II. T4B in the presence of tryptophan and T4D.

Measurements of electric birefringence, sedimentation velocity, and biological adsorption rate are used to study the properties of bacteriophage T4B in the presence of excess tryptophan. The adsorption rate determined in borate buffer pH 9 (at 25°C) increases from 0.003 × 10^?8 ml min^?1 (0.025 M) to 0.130 × 10^?8 ml min^?1 (0.150 M). The Kerr coefficient, rotational diffusion coefficient, and the sedimentation coefficient of the phage are also dependent on buffer concentration and reach plateau values above 0.12 M given by K_sp = ?(275 ± 18) × 10^?9 OD^?1 cm² statvolt^?2, D_25,w = 133 ± 4 sec^?1, and s_20,w = 818 ± 11 S. From a comparison of electric birefringence measurements of T4B and T4D it is concluded that T4D and T4B (in the presence of excess tryptophan) exhibit a similar hydrodynamic behavior. The change in physical parameters is solely due to a shift in fiber configuration. At high buffer concentrations the fibers make an angle of approximately 3π/4 with the sheath and the permanent dipole moment is about 200,000 D. This dipole moment is roughly ten times as large as that of a phage particle with nonextended fibers. This difference may be due to a change in hydrodynamic center upon fiber extension or to the presence of positive charges on the fiber tips, or both. At intermediate buffer concentrations the phage population behaves as if it were monodisperse. Probably not all six fibers are extended under such conditions.     

Dielectric behavior of polyelectrolytes. IV. Electric polarizability of rigid biopolymers in electric fields

The equilibrium Kerr effect of a system of mobile charges constrained to the surface of biomacromolecules is calculated. Cylindrical and spherical geometries are considered. For the cylinder we determine the anisotropy of electric polarizability as a function of length, temperature, and number of charged species in the low-field regime, and the fraction of the maximum induced dipole in the field direction for higher electric fields. The results are compared to experimental data for DNA oligomers taken from the literature. With spherical geometry we calculate the fractional induced dipole moment as a function of electric field strength and from this deduce the orientation function. The field dependence of the orientation function is compared to experimental data in the literature for bovine disk membrane vesicles.     

Electric birefringence of myosin subfragments.

Electric birefringence measurements have been made on aqueous solutions of myosin subfragments, heavy meromyosin, subfragments 1 and 2 (S-1 and S-2). All of these showed positive electric birefringence. Heavy meromyosin and S-2 showed a large intrinsic Kerr constant. From the analysis of the build up and decay process of the birefringence, the contribution of the slow induced dipole moment was concluded in heavy meromyosin and S-2, although the existence of the permanent dipole moment was not completely excluded. The decay process of the birefringence of heavy meromyosin was found to consist of two components; the fast one of which had a relaxation time of the same order as that of S-1. This is probably due to the presence of a flexible hinge in heavy meromyosin.     

Transient electric birefringence studies of T2 bacteriophage and T2 ghost

The transient electric birefringence behavior of bacteriophage T2 and the T2 ghost or protein coal was studied. The field free relaxation measurements show both the intact virus and its ghost to have two rotary diffusion coefficients. These coefficients have values of 555 ± 54 and 111 ± 22 sec.^?1 for the intact virus and 688 ± 89 and 161 ± 29 sec.^?l for the ghost. The equivalent ellipsoids for the fast and slow relaxation coefficients were obtained by use of Perrin's equation and were related to the bacteriophage structure in terms of a possible extension of the tail fibers or an enlargement of the head structure. The saturation of the specific birefringence of the phage and the ghost when compared with the specific birefringence of the free nucleic acid gave an average optical orientation of 10 to 18% of the nucleic acid parallel to the main axis of the phage. The analysis of the birefringence versus applied field strength in the Kerr region gave the following values for the anisotropy of the polarixability. α_e,33 – α_e,11 and intrinsic dipole, μ, of both phage and ghost : for T2 phage α_e,33 – α_e,11 = 5.0 × 10^?14 cm.³ and μ = 64,400 Debyes; for T2 ghost α_e,33 – α_e,11 = 7.9 × 10^?14cm.³ and μ = 57,200 Debyes. The high intrinsic dipole for phage and ghost is interpreted as to be associated with the mechanisms of the virus for attachment, to the host cell wall.