Overcoming artificial broadening in Gd³⁺–Gd³⁺ distance distributions arising from dipolar pseudo-secular terms in DEER experiments

By providing accurate distance measurements between spin labels site-specifically attached to bio-macromolecules, double electron–electron resonance (DEER) spectroscopy provides a unique tool to probe the structural and conformational changes in these molecules. Gd3+-tags present an important family of spin-labels for such purposes, as they feature high chemical stability and high sensitivity in high-field DEER measurements. The high sensitivity of the Gd3+ ion is associated with its high spin (S = 7/2) and small zero field splitting (ZFS), resulting in a narrow spectral width of its central transition at high fields. However, under the conditions of short distances and exceptionally small ZFS, the weak coupling approximation, which is essential for straightforward DEER data analysis, becomes invalid and the pseudo-secular terms of the dipolar Hamiltonian can no longer be ignored. This work further explores the effects of pseudo-secular terms on Gd3+–Gd3+ DEER measurements using a specifically designed ruler molecule; a rigid bis-Gd3+-DOTA model compound with an expected Gd3+–Gd3+ distance of 2.35 nm and a very narrow central transition at the W-band (95 GHz). We show that the DEER dipolar modulations are damped under the standard W-band DEER measurement conditions with a frequency separation, Δν, of 100 MHz between the pump and observe pulses. Consequently, the DEER spectrum deviates considerably from the expected Pake pattern. We show that the Pake pattern and the associated dipolar modulations can be restored with the aid of a dual mode cavity by increasing Δν from 100 MHz to 1.09 GHz, allowing for a straightforward measurement of a Gd3+–Gd3+ distance of 2.35 nm. The increase in Δν increases the contribution of the |−5/2〉 → |−3/2〉 and |−7/2〉 → |−5/2〉 transitions to the signal at the expense of the |−3/2 〉 → |−1/2〉 transition, thus minimizing the effect of dipolar pseudo-secular terms and restoring the validity of the weak coupling approximation. We apply this approach to the A93C/N140C mutant of T4 lysozyme labeled with two different Gd3+ tags that have narrow central transitions and show that even for a distance of 4 nm there is still a significant (about two-fold) broadening that is removed by increasing Δν to 636 MHz and 898 MHz.This research was supported by the Israeli Science Foundation (grant 334/14) and made possible in part by the historic generosity of the Harold Perlman Family. D. G. holds the Erich Klieger professorial chair in Chemical Physic

Distribution of guest molecules in Pluronic micelles studied by double electron electron spin resonance and small angle X-ray scattering

Ruthstein S, Raitsimring AM, Bitton R, Frydman V, Godt A, Goldfarb D. Distribution of guest molecules in Pluronic micelles studied by double electron electron spin resonance and small angle X-ray scattering. PHYSICAL CHEMISTRY CHEMICAL PHYSICS. 2009;11(1):148-160.Pulse double electron-electron spin resonance (DEER) measurements were applied to characterize the distribution and average number of guest-molecules (in the form of spin-probes) in Pluronic P123 micelles. Two types of spin-probes were used, one of which is a spin-labeled P123 (P123-NO), which is similar to the micelles constituent molecules, and the other is spin-labeled Brij56 (Brij56-NO) which is significantly different. Qualitative information regarding the relative location of the spin-labels within the micelles was obtained from the isotropic hyperfine coupling and the correlation times, determined from continuous wave EPR measurements. In addition, complementary small angle X-ray scattering (SAXS) measurements on the P123 micellar solutions, with and without the spin-probes, were carried out for an independent determination of the size of the core and corona of the micelles and to ensure that the spin-probes do not alter the size or shape of the micelles. Two approaches were used for the analysis of the DEER data. The first is model free, which is based on the determination of the leveling of value of the DEER kinetics. This provided good estimates of the number of radicals per micelle (low limit) which, together with the known concentration of the P123 molecules, gave the aggregation number of the P123 micelles. In addition, it provided an average distance between radicals which is within the range expected from the micelles' size determined by SAXS. The second approach was to analyze the full kinetic form which is model dependent. This analysis showed that both spin-labels are not homogeneously distributed in either a sphere or a spherical shell, and that large distances are preferred. This analysis yielded a slightly larger occupation volume within the micelle for P123-NO than for Brij56-NO, consistent with their chemical character