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1.
Phys Rev Lett ; 132(13): 130602, 2024 Mar 29.
Article in English | MEDLINE | ID: mdl-38613262

ABSTRACT

Quantum computing requires a universal set of gate operations; regarding gates as rotations, any rotation angle must be possible. However a real device may only be capable of B bits of resolution, i.e., it might support only 2^{B} possible variants of a given physical gate. Naive discretization of an algorithm's gates to the nearest available options causes coherent errors, while decomposing an impermissible gate into several allowed operations increases circuit depth. Conversely, demanding higher B can greatly complexify hardware. Here, we explore an alternative: probabilistic angle interpolation (PAI). This effectively implements any desired, continuously parametrized rotation by randomly choosing one of three discretized gate settings and postprocessing individual circuit outputs. The approach is particularly relevant for near-term applications where one would in any case average over many runs of circuit executions to estimate expected values. While PAI increases that sampling cost, we prove that (a) the approach is optimal in the sense that PAI achieves the least possible overhead and (b) the overhead is remarkably modest even with thousands of parametrized gates and only seven bits of resolution available. This is a profound relaxation of engineering requirements for first generation quantum computers where even 5-6 bits of resolution may suffice and, as we demonstrate, the approach is many orders of magnitude more efficient than prior techniques. Moreover we conclude that, even for more mature late noisy intermediate-scale quantum era hardware, no more than nine bits will be necessary.

2.
ACS Photonics ; 11(3): 1244-1251, 2024 Mar 20.
Article in English | MEDLINE | ID: mdl-38523744

ABSTRACT

We study the photophysical stability of ensemble near-surface nitrogen vacancy (NV) centers in diamond under vacuum and air. The optically detected magnetic resonance contrast of the NV centers was measured following exposure to laser illumination, showing opposing trends in air compared to vacuum (increasing by up to 9% and dropping by up to 25%, respectively). Characterization using X-ray photoelectron spectroscopy (XPS) suggests a surface reconstruction: In air, atmospheric oxygen adsorption on a surface leads to an increase in NV- fraction, whereas in vacuum, net oxygen desorption increases the NV0 fraction. NV charge state switching is confirmed by photoluminescence spectroscopy. Deposition of ∼2 nm alumina (Al2O3) over the diamond surface was shown to stabilize the NV charge state under illumination in either environment, attributed to a more stable surface electronegativity. The use of an alumina coating on diamond is therefore a promising approach to improve the resilience of NV sensors.

3.
Science ; 382(6675): eadi5177, 2023 Dec 08.
Article in English | MEDLINE | ID: mdl-38060645

ABSTRACT

The geological record encodes the relationship between climate and atmospheric carbon dioxide (CO2) over long and short timescales, as well as potential drivers of evolutionary transitions. However, reconstructing CO2 beyond direct measurements requires the use of paleoproxies and herein lies the challenge, as proxies differ in their assumptions, degree of understanding, and even reconstructed values. In this study, we critically evaluated, categorized, and integrated available proxies to create a high-fidelity and transparently constructed atmospheric CO2 record spanning the past 66 million years. This newly constructed record provides clearer evidence for higher Earth system sensitivity in the past and for the role of CO2 thresholds in biological and cryosphere evolution.

4.
J Magn Reson ; 356: 107573, 2023 Nov.
Article in English | MEDLINE | ID: mdl-37856964

ABSTRACT

Following the success of cryogenic EPR signal preamplification at X-band, we present a Q-band EPR cryoprobe compatible with a standard EPR resonator. The probehead is equipped with a cryogenic ultra low-noise microwave amplifier and its protection circuit that are placed close to the sample in the same cryostat. Our cryoprobe maintains the same sample access and tuning which is typical in Q-band EPR, as well as supports high-power pulsed experiments on typical samples. The performance of our setup is benchmarked against that of existing commercial and home-built Q-band spectrometers, using CW EPR and pulsed EPR/ENDOR experiments to reveal a significant sensitivity improvement which reduces the measurement time by a factor of about 40× at 6 K temperature at reduced power levels.

5.
Nat Commun ; 14(1): 2619, 2023 May 05.
Article in English | MEDLINE | ID: mdl-37147370

ABSTRACT

Layered van der Waals (vdW) magnets can maintain a magnetic order even down to the single-layer regime and hold promise for integrated spintronic devices. While the magnetic ground state of vdW magnets was extensively studied, key parameters of spin dynamics, like the Gilbert damping, crucial for designing ultra-fast spintronic devices, remains largely unexplored. Despite recent studies by optical excitation and detection, achieving spin wave control with microwaves is highly desirable, as modern integrated information technologies predominantly are operated with these. The intrinsically small numbers of spins, however, poses a major challenge to this. Here, we present a hybrid approach to detect spin dynamics mediated by photon-magnon coupling between high-Q superconducting resonators and ultra-thin flakes of Cr2Ge2Te6 (CGT) as thin as 11 nm. We test and benchmark our technique with 23 individual CGT flakes and extract an upper limit for the Gilbert damping parameter. These results are crucial in designing on-chip integrated circuits using vdW magnets and offer prospects for probing spin dynamics of monolayer vdW magnets.

6.
Stem Cell Reports ; 18(4): 829-840, 2023 04 11.
Article in English | MEDLINE | ID: mdl-36963390

ABSTRACT

The thymus is critical for the establishment of a functional and self-tolerant adaptive immune system but involutes with age, resulting in reduced naive T cell output. Generation of a functional human thymus from human pluripotent stem cells (hPSCs) is an attractive regenerative strategy. Direct differentiation of thymic epithelial progenitors (TEPs) from hPSCs has been demonstrated in vitro, but functional thymic epithelial cells (TECs) only form months after transplantation of TEPs in vivo. We show the generation of TECs in vitro in isogenic stem cell-derived thymic organoids (sTOs) consisting of TEPs, hematopoietic progenitor cells, and mesenchymal cells, differentiated from the same hPSC line. sTOs support T cell development, express key markers of negative selection, including the autoimmune regulator (AIRE) protein, and facilitate regulatory T cell development. sTOs provide the basis for functional patient-specific thymic organoid models, allowing for the study of human thymus function, T cell development, and transplant immunity.


Subject(s)
Pluripotent Stem Cells , Thymus Gland , Humans , T-Lymphocytes , Epithelial Cells/metabolism , Cell Differentiation/physiology , Organoids
7.
J Magn Reson ; 346: 107356, 2023 Jan.
Article in English | MEDLINE | ID: mdl-36516664

ABSTRACT

Inspired by the success of NMR cryoprobes, we recently reported a leap in X-band EPR sensitivity by equipping an ordinary EPR probehead with a cryogenic low-noise microwave amplifier placed closed to the sample in the same cryostat [Simenas et al. J. Magn. Reson.322, 106876 (2021)]. Here, we explore, theoretically and experimentally, a more general approach, where the amplifier temperature is independent of the sample temperature. This approach brings a number of important advantages, enabling sensitivity improvement irrespective of sample temperature, as well as making it more practical to combine with ENDOR and Q-band resonators, where space in the sample cryostat is often limited. Our experimental realisation places the cryogenic preamplifier within an external closed-cycle cryostat, and we show CW and pulsed EPR and ENDOR sensitivity improvements at both X- and Q-bands with negligible dependence on sample temperature. The cryoprobe delivers signal-to-noise ratio enhancements that reduce the equivalent pulsed EPR measurement time by 16× at X-band and close to 5× at Q-band. Using the theoretical framework we discuss further improvements of this approach which could be used to achieve even greater sensitivity.

8.
Phys Rev Lett ; 129(11): 117701, 2022 Sep 09.
Article in English | MEDLINE | ID: mdl-36154421

ABSTRACT

Impurity spins in crystal matrices are promising components in quantum technologies, particularly if they can maintain their spin properties when close to surfaces and material interfaces. Here, we investigate an attractive candidate for microwave-domain applications, the spins of group-VI ^{125}Te^{+} donors implanted into natural Si at depths as shallow as 20 nm. We show that surface band bending can be used to ionize such near-surface Te to spin-active Te^{+} state, and that optical illumination can be used further to control the Te donor charge state. We examine spin activation yield, spin linewidth, and relaxation (T_{1}) and coherence times (T_{2}) and show how a zero-field 3.5 GHz "clock transition" extends spin coherence times to over 1 ms, which is about an order of magnitude longer than other near-surface spin systems.

9.
J Allergy Clin Immunol ; 149(2): 767-781.e6, 2022 02.
Article in English | MEDLINE | ID: mdl-34331993

ABSTRACT

BACKGROUND: The thymus is a glandular organ that is essential for the formation of the adaptive immune system by educating developing T cells. The thymus is most active during childhood and involutes around the time of adolescence, resulting in a severe reduction or absence of naive T-cell output. The ability to generate a patient-derived human thymus would provide an attractive research platform and enable the development of novel cell therapies. OBJECTIVES: This study sought to systematically evaluate signaling pathways to develop a refined direct differentiation protocol that generates patient-derived thymic epithelial progenitor cells from multiple induced pluripotent stem cells (iPSCs) that can further differentiate into functional patient-derived thymic epithelial cells on transplantation into athymic nude mice. METHODS: Directed differentiation of iPSC generated TEPs that were transplanted into nude mice. Between 14 and 19 weeks posttransplantation, grafts were removed and analyzed by flow cytometry, quantitative PCR, bulk RNA sequencing, and single-cell RNA sequencing for markers of thymic-cell and T-cell development. RESULTS: A direct differentiation protocol that allows the generation of patient-derived thymic epithelial progenitor cells from multiple iPSC lines is described. On transplantation into athymic nude mice, patient-derived thymic epithelial progenitor cells further differentiate into functional patient-derived thymic epithelial cells that can facilitate the development of T cells. Single-cell RNA sequencing analysis of iPSC-derived grafts shows characteristic thymic subpopulations and patient-derived thymic epithelial cell populations that are indistinguishable from TECs present in primary neonatal thymus tissue. CONCLUSIONS: These findings provide important insights and resources for researchers focusing on human thymus biology.


Subject(s)
Induced Pluripotent Stem Cells/cytology , T-Lymphocytes/physiology , Thymus Gland/cytology , Animals , Cell Differentiation , Cells, Cultured , Epithelial Cells/cytology , Epithelial Cells/physiology , Humans , Mice , Sequence Analysis, RNA , Thymus Gland/physiology
10.
Nat Commun ; 12(1): 5387, 2021 09 10.
Article in English | MEDLINE | ID: mdl-34508071

ABSTRACT

Photosynthesis and respiration rely upon a proton gradient to produce ATP. In photosynthesis, the Respiratory Complex I homologue, Photosynthetic Complex I (PS-CI) is proposed to couple ferredoxin oxidation and plastoquinone reduction to proton pumping across thylakoid membranes. However, little is known about the PS-CI molecular mechanism and attempts to understand its function have previously been frustrated by its large size and high lability. Here, we overcome these challenges by pushing the limits in sample size and spectroscopic sensitivity, to determine arguably the most important property of any electron transport enzyme - the reduction potentials of its cofactors, in this case the iron-sulphur clusters of PS-CI (N0, N1 and N2), and unambiguously assign them to the structure using double electron-electron resonance. We have thus determined the bioenergetics of the electron transfer relay and provide insight into the mechanism of PS-CI, laying the foundations for understanding of how this important bioenergetic complex functions.


Subject(s)
Bacterial Proteins/metabolism , Energy Metabolism , Iron-Sulfur Proteins/metabolism , Photosystem I Protein Complex/metabolism , Bacterial Proteins/isolation & purification , Bacterial Proteins/ultrastructure , Electron Spin Resonance Spectroscopy , Electron Transport , Iron-Sulfur Proteins/ultrastructure , Photosystem I Protein Complex/isolation & purification , Photosystem I Protein Complex/ultrastructure , Synechocystis/metabolism
11.
J Magn Reson ; 322: 106876, 2021 01.
Article in English | MEDLINE | ID: mdl-33264732

ABSTRACT

Inspired by the considerable success of cryogenically cooled NMR cryoprobes, we present an upgraded X-band EPR probehead, equipped with a cryogenic low-noise preamplifier. Our setup suppresses source noise, can handle the high microwave powers typical in X-band pulsed EPR, and is compatible with the convenient resonator coupling and sample access found on commercially available spectrometers. Our approach allows standard pulsed and continuous-wave EPR experiments to be performed at X-band frequency with significantly increased sensitivity compared to the unmodified setup. The probehead demonstrates a voltage signal-to-noise ratio (SNR) enhancement by a factor close to 8× at a temperature of 6 K, and remains close to 2× at room temperature. By further suppressing room-temperature noise at the expense of reduced microwave power (and thus minimum π-pulse length), the factor of SNR improvement approaches 15 at 6 K, corresponding to an impressive 200-fold reduction in EPR measurement time. We reveal the full potential of this probehead by demonstrating such SNR improvements using a suite of typical hyperfine and dipolar spectroscopy experiments on exemplary samples.

12.
Nature ; 587(7835): 588-593, 2020 11.
Article in English | MEDLINE | ID: mdl-33239800

ABSTRACT

The quantum spin properties of nitrogen-vacancy defects in diamond enable diverse applications in quantum computing and communications1. However, fluorescent nanodiamonds also have attractive properties for in vitro biosensing, including brightness2, low cost3 and selective manipulation of their emission4. Nanoparticle-based biosensors are essential for the early detection of disease, but they often lack the required sensitivity. Here we investigate fluorescent nanodiamonds as an ultrasensitive label for in vitro diagnostics, using a microwave field to modulate emission intensity5 and frequency-domain analysis6 to separate the signal from background autofluorescence7, which typically limits sensitivity. Focusing on the widely used, low-cost lateral flow format as an exemplar, we achieve a detection limit of 8.2 × 10-19 molar for a biotin-avidin model, 105 times more sensitive than that obtained using gold nanoparticles. Single-copy detection of HIV-1 RNA can be achieved with the addition of a 10-minute isothermal amplification step, and is further demonstrated using a clinical plasma sample with an extraction step. This ultrasensitive quantum diagnostics platform is applicable to numerous diagnostic test formats and diseases, and has the potential to transform early diagnosis of disease for the benefit of patients and populations.


Subject(s)
Biosensing Techniques/methods , Early Diagnosis , HIV Infections/diagnosis , HIV Infections/virology , HIV-1/genetics , Nanodiamonds/chemistry , RNA, Viral/blood , Avidin/chemistry , Biosensing Techniques/instrumentation , Biotin/chemistry , Fluorescence , Gold/chemistry , HIV-1/isolation & purification , Humans , Limit of Detection , Metal Nanoparticles/chemistry , Microfluidics/instrumentation , Microfluidics/methods , Microwaves , Nucleic Acid Amplification Techniques , Paper , Plasma/virology , Quantum Theory , Sensitivity and Specificity , Single Molecule Imaging , Temperature
13.
Phys Rev Lett ; 125(13): 137702, 2020 Sep 25.
Article in English | MEDLINE | ID: mdl-33034472

ABSTRACT

We show experimentally and describe theoretically how a conventional magnetic resonance Hahn echo sequence can lead to a self-stimulated pulse echo train when an inhomogeneously broadened spin ensemble is coupled to a resonator. Effective strong coupling between the subsystems assures that the first Hahn echo can act as a refocusing pulse on the spins, leading to self-stimulated secondary echoes. Within the framework of mean field theory, we show that this process can continue multiple times leading to a train of echoes. We introduce an analytical model that explains the shape of the first echo and numerical results that account well for the experimentally observed shape and strength of the echo train and provides insights into the collective effects involved.

14.
Nat Mater ; 19(12): 1259-1260, 2020 12.
Article in English | MEDLINE | ID: mdl-32958882
15.
Nano Lett ; 20(10): 7123-7128, 2020 Oct 14.
Article in English | MEDLINE | ID: mdl-32946244

ABSTRACT

We investigate gate-induced quantum dots in silicon nanowire field-effect transistors fabricated using a foundry-compatible fully depleted silicon-on-insulator (FD-SOI) process. A series of split gates wrapped over the silicon nanowire naturally produces a 2 × n bilinear array of quantum dots along a single nanowire. We begin by studying the capacitive coupling of quantum dots within such a 2 × 2 array and then show how such couplings can be extended across two parallel silicon nanowires coupled together by shared, electrically isolated, "floating" electrodes. With one quantum dot operating as a single-electron-box sensor, the floating gate serves to enhance the charge sensitivity range, enabling it to detect charge state transitions in a separate silicon nanowire. By comparing measurements from multiple devices, we illustrate the impact of the floating gate by quantifying both the charge sensitivity decay as a function of dot-sensor separation and configuration within the dual-nanowire structure.

16.
Oral Oncol ; 98: 118-124, 2019 11.
Article in English | MEDLINE | ID: mdl-31586893

ABSTRACT

OBJECTIVES: To describe differences in cancer stem cell (CSC) presence and behavior associated with their intratumor compartment of origin using a patient-derived xenograft (PDX) model of oral cavity squamous cell carcinoma (OCSCC). MATERIALS AND METHODS: Four HPV-negative OCSCC PDX cases were selected (CUHN004, CUHN013, CUHN096, CUHN111) and the percentage of CSCs (ALDH+CD44high) was measured in the tumor Leading Edge (LE) and Core compartments of each PDX tumor case via fluorescence activated cell sorting (FACS). The fraction of cells in the proliferative phase was measured by Ki-67 labelling index of paraffin embedded tissue. The proliferation and invasion of LE versus Core CSCs were compared using sphere and Matrigel invasion assays, respectively. RESULTS: Both CUHN111 and CUHN004 demonstrate CSC enrichment in their LE compartments while CUHN013 and CUHN096 show no intratumor difference. Cases with LE CSC enrichment demonstrate greater Ki-67 labelling at the LE. CSC proliferative potential, assessed by sphere formation, reveals greater sphere formation in CUHN111 LE CSCs, but no difference between CUHN013 LE and Core CSCs. CUHN111 CSCs do not demonstrate an intratumor difference in invasiveness while CUHN013 LE CSCs are more invasive than Core CSCs. CONCLUSION: A discrete intratumor CSC niche is present in a subset of OCSCC PDX tumors. The CSC functional phenotype with regard to proliferation and invasion is associated with the intratumor compartment of origin of the CSC: LE or Core. These individual functional characteristics appear to be modulated independently of one another and independently of the presence of an intratumor CSC niche.


Subject(s)
Carcinoma, Squamous Cell/etiology , Carcinoma, Squamous Cell/metabolism , Mouth Neoplasms/etiology , Mouth Neoplasms/metabolism , Neoplastic Stem Cells/metabolism , Stem Cell Niche , Aged , Animals , Biomarkers , Carcinoma, Squamous Cell/pathology , Cell Line, Tumor , Cell Proliferation , Disease Models, Animal , Female , Heterografts , Humans , Immunohistochemistry , Immunophenotyping , Male , Mice , Middle Aged , Mouth Neoplasms/pathology , Neoplasm Staging , Neoplastic Stem Cells/pathology
18.
Mol Carcinog ; 58(3): 398-410, 2019 03.
Article in English | MEDLINE | ID: mdl-30378175

ABSTRACT

Wnt pathway activation maintains the cancer stem cell (CSC) phenotype and promotes tumor progression, making it an attractive target for anti-cancer therapy. Wnt signaling at the tumor and tumor microenvironment (TME) front have not been investigated in depth in head and neck squamous cell carcinoma (HNSCC). In a cohort of 48 HNSCCs, increased Wnt signaling, including Wnt genes (AXIN2, LGR6, WISP1) and stem cell factors (RET, SOX5, KIT), were associated with a more advanced clinical stage. Key Wnt pathway proteins were most abundant at the cancer epithelial-stromal boundary. To investigate these observations, we generated three pairs of cancer-cancer associated fibroblast (CAF) cell lines derived from the same HNSCC patients. 3D co-culture of cancer spheres and CAFs mimicked these in vivo interactions, and using these we observed increased expression of Wnt genes (eg, WNT3A, WNT7A, WNT16) in both compartments. Of these Wnt ligands, we found Wnt3a, and less consistently Wnt16, activated Wnt signaling in both cancer cells and CAFs. Wnt activation increased CSC characteristics like sphere formation and invasiveness, which was further regulated by the presence of CAFs. Time lapse microscopy also revealed preferential Wnt activation of cancer cells. Wnt inhibitors, OMP-18R5 and OMP-54F28, significantly reduced growth of HNSCC patient-derived xenografts and suppressed Wnt activation at the tumor epithelial-stromal boundary. Taken together, our findings suggest that Wnt signaling is initiated in cancer cells which then activate CAFs, and in turn perpetuate a paracrine signaling loop. This suggests that targeting Wnt signaling in the TME is essential.


Subject(s)
Carcinoma, Squamous Cell/pathology , Cell Communication , Head and Neck Neoplasms/pathology , Neoplastic Stem Cells/pathology , Tumor Microenvironment , Wnt Signaling Pathway , Animals , Apoptosis , Carcinoma, Squamous Cell/genetics , Carcinoma, Squamous Cell/metabolism , Cell Proliferation , Head and Neck Neoplasms/genetics , Head and Neck Neoplasms/metabolism , Humans , Mice , Mice, Nude , Neoplasm Invasiveness , Neoplastic Stem Cells/metabolism , Tumor Cells, Cultured , Xenograft Model Antitumor Assays
19.
Mol Carcinog ; 57(11): 1651-1663, 2018 11.
Article in English | MEDLINE | ID: mdl-30129680

ABSTRACT

In this report, we describe in detail the evolving procedures to optimize humanized mouse cohort generation, including optimal conditioning, choice of lineage for engraftment, threshold for successful engraftment, HNSCC tumor implantation, and immune and stroma cell analyses. We developed a dual infusion protocol of human hematopoietic stem and progenitor cells (HSPCs) and mesenchymal stem cells (MSCs), leading to incremental human bone marrow engraftment, and exponential increase in mature peripheral human immune cells, and intratumor homing that includes a more complete lineage reconstitution. Additionally, we have identified practical rules to predict successful HSPC/MSC expansion, and a peripheral human cell threshold associated with bone marrow engraftment, both of which will optimize cohort generation and management. The tremendous advances in immune therapy in cancer have made the need for appropriate and standardized models more acute than ever, and therefore, we anticipate that this manuscript will have an immediate impact in cancer-related research. The need for more representative tools to investigate the human tumor microenvironment (TME) has led to the development of humanized mouse models. However, the difficulty of immune system engraftment and minimal human immune cell infiltration into implanted xenografts are major challenges. We have developed an improved method for generating mismatched humanized mice (mHM), using a dual infusion of human HSPCs and MSCs, isolated from cord blood and expanded in vitro. Engraftment with both HSPCs and MSCs produces mice with almost twice the percentage of human immune cells in their bone marrow, compared to mice engrafted with HSPCs alone, and yields 9- to 38-fold higher levels of mature peripheral human immune cells. We identified a peripheral mHM blood human B cell threshold that predicts an optimal degree of mouse bone marrow humanization. When head and neck squamous cell carcinoma (HNSCC) tumors are implanted on the flanks of HSPC-MSC engrafted mice, human T cells, B cells, and macrophages infiltrate the stroma of these tumors at 2- to 8-fold higher ratios. In dually HSPC-MSC engrafted mice we also more frequently observed additional types of immune cells, including regulatory T cells, cytotoxic T cells, and MDSCs. Higher humanization was associated with in vivo response to immune-directed therapy. The complex immune environment arising in tumors from dually HSPC-MSC engrafted mice better resembles that of the originating patient's tumor, suggesting an enhanced capability to accurately recapitulate a human TME.


Subject(s)
Disease Models, Animal , Head and Neck Neoplasms/pathology , Hematopoietic Stem Cell Transplantation , Hematopoietic Stem Cells , Mesenchymal Stem Cell Transplantation , Mesenchymal Stem Cells , Animals , Biomarkers , Head and Neck Neoplasms/metabolism , Head and Neck Neoplasms/therapy , Hematopoietic Stem Cell Transplantation/methods , Hematopoietic Stem Cells/cytology , Hematopoietic Stem Cells/metabolism , Humans , Immunophenotyping , Mesenchymal Stem Cell Transplantation/methods , Mesenchymal Stem Cells/cytology , Mesenchymal Stem Cells/metabolism , Mice , Mice, Knockout , Transplantation, Heterologous
20.
J Am Chem Soc ; 140(24): 7420-7424, 2018 06 20.
Article in English | MEDLINE | ID: mdl-29860839

ABSTRACT

Paramagnetic endohedral fullerenes with long spin coherence times, such as N@C60 and Y@C82, are being explored as potential spin quantum bits (qubits). Their use for quantum information processing requires a way to hold them in fixed spatial arrangements. Here we report the synthesis of a porphyrin-based two-site receptor 1, offering a rigid structure that binds spin-active fullerenes (Y@C82) at a center-to-center distance of 5.0 nm, predicted from molecular simulations. The spin-spin dipolar coupling was measured with the pulsed EPR spectroscopy technique of double electron electron resonance and analyzed to give a distance of 4.87 nm with a small distribution of distances.

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