High-sensitivity Gd3+-Gd3+ EPR distance measurements that eliminate artefacts seen at short distances

Frequency swept pulses for the enhanced resolution of ENDOR spectra detecting on higher spin transitions of Gd(III)

Half-Integer High Spin (HIHS) systems with zero-field splitting (ZFS) parameters below 1 GHz are generally dominated by the spin |─1/2>→|+1/2 > central transition (CT). Accordingly, most pulsed Electron Paramagnetic Resonance (EPR) experiments are performed at this position for maximum sensitivity. However, in certain cases it can be desirable to detect higher spin transitions away from the CT in such systems. Here, we describe the use of frequency swept Wideband, Uniform Rate, Smooth Truncation (WURST) pulses for transferring spin population from the CT, and other transitions, of Gd(III) to the neighbouring higher spin transition |─3/2>→|─1/2 > at Q- and W-band frequencies. Specifically, we demonstrate this approach to enhance the sensitivity of ¹H Mims Electron-Nuclear Double Resonance (ENDOR) measurements on two model Gd(III) aryl substituted 1,4,7,10-tetraazacyclododecane-1,4,7-triacetic acid (DO3A) complexes, focusing on transitions other than the CT. We show that an enhancement factor greater than 2 is obtained for both complexes at Q- and W-band frequencies by the application of two polarising pulses prior to the ENDOR sequence. This is in agreement with simulations of the spin dynamics of the system during WURST pulse excitation. The technique demonstrated here should allow more sensitive experiments to be measured away from the CT at higher operating temperatures, and be combined with any relevant pulse sequence.

Dipolar-Coupled Entangled Molecular 4f Qubits

We demonstrate by use of continuous wave- and pulse-electron paramagnetic resonance spectroscopy on oriented single crystals of magnetically dilute Yb^III ions in Yb_0.01Lu_0.99(trensal) that molecular entangled two-qubit systems can be constructed by exploiting dipolar interactions between neighboring Yb^III centers. Furthermore, we show that the phase memory time and Rabi frequencies of these dipolar-interaction-coupled entangled two-qubit systems are comparable to the ones of the corresponding single qubits.

The effect of spin-lattice relaxation on DEER background decay

The common approach to background removal in double electron-electron resonance (DEER) measurements on frozen solutions with a three-dimensional homogeneous distribution of doubly labeled biomolecules is to fit the background to an exponential decay function. Excluded volume effects or distribution in a dimension lower than three, such as proteins in a membrane, can lead to a stretched exponential decay. In this work, we show that in cases of spin labels with short spin-lattice relaxation time, up to an order of magnitude longer than the DEER trace length, relevant for metal-based spin labels, spin flips that take place during the DEER evolution time affect the background decay shape. This was demonstrated using a series of temperature-dependent DEER measurements on frozen solutions of a nitroxide radical, a Gd(III) complex, Cu(II) ions, and a bis-Gd(III) model complex. As expected, the background decay was exponential for the nitroxide, whereas deviations were noted for Gd(III) and Cu(II). Based on the theoretical approach of Keller et al. (Phys. Chem. Chem. Phys. 21 (2019) 8228-8245), which addresses the effect of spin-lattice relaxation-induced spin flips during the evolution time, we show that the background decay can be fitted to an exponent including a linear and quadratic term in t, which is the position of the pump pulse. Analysis of the data in terms of the probability of spontaneous spin flips induced by spin-lattice relaxation showed that this approach worked well for the high temperature range studied for Gd(III) and Cu(II). At the low temperature range, the spin flips that occured during the DEER evolution time for Gd(III) exceeded the measured spin-lattice relaxation rate and include contributions from spin flips due to another mechanisms, most likely nuclear spin diffusion.

Increasing the Modulation Depth of GdIII-Based Pulsed Dipolar EPR Spectroscopy (PDS) with Porphyrin-GdIII Laser-Induced Magnetic Dipole Spectroscopy

Distance determination with pulsed EPR has become an important technique for the structural investigation of biomacromolecules, with double electron-electron resonance spectroscopy (DEER) as the most important method. Gd^III-based spin labels are one of the most frequently used spin labels for DEER owing to their stability against reduction, high magnetic moment, and absence of orientation selection. A disadvantage of Gd^III-Gd^III DEER is the low modulation depth due to the broad EPR spectrum of Gd^III. Here, we introduce laser-induced magnetic dipole spectroscopy (LaserIMD) with a spin pair consisting of Gd^III(PymiMTA) and a photoexcited porphyrin as an alternative technique. We show that the excited state of the porphyrin is not disturbed by the presence of the Gd^III complex and that herewith modulation depths of almost 40% are possible. This is significantly higher than the value of 7.2% that was achieved with Gd^III-Gd^III DEER.

Neural networks in pulsed dipolar spectroscopy: A practical guide

This is a methodological guide to the use of deep neural networks in the processing of pulsed dipolar spectroscopy (PDS) data encountered in structural biology, organic photovoltaics, photosynthesis research, and other domains featuring long-lived radical pairs and paramagnetic metal ions. PDS uses distance dependence of magnetic dipolar interactions; measuring a single well-defined distance is straightforward, but extracting distance distributions is a hard and mathematically ill-posed problem requiring careful regularisation and background fitting. Neural networks do this exceptionally well, but their "robust black box" reputation hides the complexity of their design and training - particularly when the training dataset is effectively infinite. The objective of this paper is to give insight into training against simulated databases, to discuss network architecture choices, to describe options for handling DEER (double electron-electron resonance) and RIDME (relaxation-induced dipolar modulation enhancement) experiments, and to provide a practical data processing flowchart.

Orthogonal spin labeling and pulsed dipolar spectroscopy for protein studies

Different types of spin labels are currently available for structural studies of biomolecules both in vitro and in cells using Electron Paramagnetic Resonance (EPR) and pulse dipolar spectroscopy (PDS). Each type of label has its own advantages and disadvantages, that will be addressed in this chapter. The spectroscopically distinct properties of the labels have fostered new applications of PDS aimed to simultaneously extract multiple inter-label distances on the same sample. In fact, combining different labels and choosing the optimal strategy to address their inter-label distances can increase the information content per sample, and this is pivotal to better characterize complex multi-component biomolecular systems. In this review, we provide a brief background of the spectroscopic properties of the four most common orthogonal spin labels for PDS measurements and focus on the various methods at disposal to extract homo- and hetero-label distances in proteins. We also devote a section to possible artifacts arising from channel crosstalk and provide few examples of applications in structural biology.

Characteristics of Gd(III) spin labels for the study of protein conformations

Gd(III) complexes are currently established as spin labels for structural studies of biomolecules using pulse dipolar electron paramagnetic resonance (PD-EPR) techniques. This has been achieved by the availability of medium- and high-field spectrometers, understanding the spin physics underlying the spectroscopic properties of high spin Gd(III) (S=7/2) pairs and their dipolar interaction, the design of well-defined model compounds and optimization of measurement techniques. In addition, a variety of Gd(III) chelates and labeling schemes have allowed a broad scope of applications. In this review, we provide a brief background of the spectroscopic properties of Gd(III) pertinent for effective PD-EPR measurements and focus on the various labels available to date. We report on their use in PD-EPR applications and highlight their pros and cons for particular applications. We also devote a section to recent in-cell structural studies of proteins using Gd(III), which is an exciting new direction for Gd(III) spin labeling.