Analysis of the tuning and operation of reflection resonator EPR spectrometers

This paper investigates basic characteristics of the electron paramagnetic resonance (EPR) signal obtained from spectrometers employing reflection resonators. General equations are presented which reveal the phase and amplitude dependence on instrumental parameters of both components of the continuous wave (CW) EPR signal (absorption and dispersion). New phase vector diagrams derived from these general equations are presented for the analysis of the EPR response. The dependence of the phase and absolute value of the CW EPR signal on the local oscillator (LO) phase and on resonator offset and coupling is presented and analyzed. The EPR spectrometer tuning procedures for both balanced and unbalanced heterodyne receivers are analyzed in detail using the new phase diagrams. Extraneous signals at the RF input of the microwave receiver (resulting from circulator leakage and reflections in the resonator transmission line) have been taken into account and analyzed. It is shown that a final tuning condition that corresponds to an extremum of the receiver output as a function of the resonator frequency is necessary and sufficient for the acquisition of pure absorption signal. This condition is universal: it applies to all spectrometer configurations in all frequency ranges. High Frequency EPR spectrometer (130 GHz) data are used to generate experimental phase diagrams that illustrate the theoretical concepts presented in the paper. Conditions are presented under which the absorption signal can be measured with complete suppression of the dispersion, independent of the mutual frequency offset between the microwave source and the EPR sample resonator. Equations describing the approximate relationship between changes of the resonator properties (Q-factor and frequency) and paramagnetic susceptibility are derived and analyzed.     

Detection of electron paramagnetic resonance absorption using frequency modulation

A frequency modulation (FM) method was developed to measure electron paramagnetic resonance (EPR) absorption. The first-derivative spectrum of 1,1-diphenyl-2-picrylhydrazyl (DPPH) powder was measured with this FM method. Frequency modulation of up to 1.6 MHz (peak-to-peak) was achieved at a microwave carrier frequency of 1.1 GHz. This corresponds to a magnetic field modulation of 57microT (peak-to-peak) at 40.3 mT. By using a tunable microwave resonator and automatic control systems, we achieved a practical continuous-wave (CW) EPR spectrometer that incorporates the FM method. In the present experiments, the EPR signal intensity was proportional to the magnitude of frequency modulation. The background signal at the modulation frequency (1 kHz) for EPR detection was also proportional to the magnitude of frequency modulation. An automatic matching control (AMC) system reduced the amplitude of noise in microwave detection and improved the baseline stability. Distortion of the spectral lineshape was seen when the spectrometer settings were not appropriate, e.g., with a lack of the open-loop gain in automatic tuning control (ATC). FM is an alternative to field modulation when the side-effect of field modulation is detrimental for EPR detection. The present spectroscopic technique based on the FM scheme is useful for measuring the first derivative with respect to the microwave frequency in investigations of electron-spin-related phenomena.     

L波段三维ESR成像系统的研制（Ⅱ）——L波段三维ESR成像系统

叙述了一个L波段（1.05 GHz）用于ESR和ESR成像的装置，用这套自制装置实现了3D ESR成像. 该装置由L波段ESR谱仪、三组梯度场线圈及控制单元和PC机数据采集系统组成. 样品腔是一个3-环2-缝再进入式谐振腔，可放入直径为20 mm、 长30 mm的H₂O样品，空谐振腔的频率是1.05 GHz. 微波振荡频率用自动频率控制（AFC）的方法自动锁在有载腔的频率上. 梯度场线圈沿X-，Y-和Z-轴产生线性梯度场，在中心40 mm球形范围内梯度场强度为2 mT/cm. 依照Lauterbur's方法进行3D ESR 图像重建. 用该系统检测了样品中TEMPO氮氧自由基的3D空间分布. 得到了TEMPO的2D、3D ESR图像、用像素灰度表示的自旋密度分布图及3D ESR-CT图像.     

Observation of electric quadrupole spin resonance of Ho<Superscript>3+</Superscript> impurity ions in synthetic forsterite

The anomalous dependence of the electron paramagnetic resonance (EPR) line shape on the microwave power in the resonator has been found when studying the continuous-wave EPR spectra of impurity holmium ions in synthetic forsterite on an ELEXSYS E 580 EPR spectrometer. The power-threshold transition from the conventional lines being the derivatives of the spectral line contours to the spectral line contours themselves has been observed as the power increased. The properties of the anomalous EPR lines are qualitatively explained assuming that the resonance electric quadrupole transitions take place between the electron spin levels.     

An X-band time domain electron paramagnetic resonance spectrometer

A computer-controlled X-band time domain electron paramagnetic resonance (EPR) spectrometer, with a time resolution of the order of 0.5μsec, has been constructed with many of the crucial microwave components designed and fabricated by the Microwave Engineering Group of TIFR. The spectrometer operates either in a microwave power pulsed mode for determination of spin-lattice relaxation times by the saturation recovery technique or in the kinetic mode for determination of the time dependence of EPR signal after laser excitation. It has an automatic frequency control, an automatic phase control and, most importantly, a field-frequency lock which ensures good stability of the EPR line positions enabling signal averaging for extended periods. The constructional details of the spectrometer and its performance in both the modes are described here by reporting results on certain typical systems.     

In vivo temporal EPR study using a region-selected intensity determination method to estimate cerebral reducing ability in rats treated with olanzapine

Region-selected intensity determination (RSID) is a method for obtaining the temporal changes in electron paramagnetic resonance (EPR) signal intensity from a target region, without the use of complicated procedures employed in the conventional imaging methods. An in vivo 700-MHz radio frequency EPR spectrometer equipped with a bridged loop-gap resonator was used with the RSID method to estimate intracerebral reducing ability in the rat following acute administration of olanzapine (OZP) or haloperidol (HPD). To this end, temporal changes in EPR signal intensity of target regions (the striatum and the prefrontal cortex) of rats which had received a blood-brain-barrier-permeable nitroxide radical (3-hydroxymethyl-2,2,5,5-tetramethylpyrrolidine-1-oxyl) via an intravenous route were observed. The half-lives of EPR signal intensity in both regions of OZP- or HPD-treated rats were significantly longer than in control animals. This indicated that reducing abilities of the striatum and cerebral cortex decreased in the rats to which either OZP or HPD had been acutely administered.     

Impact of the Characteristic Impedance of Coaxial Lines on the Sensitivity of a 750-MHz Electronically Tunable EPR Resonator

A 750-MHz electronically tunable resonator was investigated in terms of the sensitivity of electron paramagnetic resonance (EPR) signal detection. The conversion efficiency of the radio-frequency magnetic field was calculated for resonators with 50- and 100-Ω coaxial coupling lines using three-dimensional (3D) microwave field and microwave circuit simulators. Based on the simulation results, two tunable resonators were physically constructed and compared in terms of EPR signal sensitivity using a nitroxyl radical solution. While the resonator with 100-Ω coaxial lines provided 14% greater signal intensity, its signal-to-noise ratio was lower than that of the resonator with 50-Ω lines. To demonstrate the capability of the constructed tunable resonator for EPR imaging experiments, a solution of nitroxyl radical and the leg of a tumor-bearing mouse were visualized.     

Jones matrix formalism for quasioptical EPR

The Jones matrix formalism that has been used to analyze quasioptical millimeter-wave circuits is extended for specific application to high-frequency electron paramagnetic resonance (EPR). A survey of general expressions for Jones matrices of elements commonly used in quasioptical EPR spectrometers is given. The Jones matrix representations of quasioptical transmission and reflection cavities are derived, and their relationship to the equivalent circuit and transmission line representations used for conventional EPR cavities is demonstrated. The formalism is applied to selected quasioptical EPR spectrometer designs and experimental tests of the formalism are presented for two configurations of a quasioptical spectrometer operating at 220 GHz.     

An alternative tuning approach to enhance NMR signals

By using spin-noise type measurement we show that the resonance frequency of the reception circuit of classical NMR spectrometers does not match the Larmor frequency even if, in emission, the electronic circuit is perfectly tuned at the Larmor frequency and matches the amplifier impedance. We also show that this spin-noise method can be used to ensure a match between the Larmor frequency and the reception circuit resonance frequency. In these conditions, (i) the radiation damping field is in perfect quadrature to the magnetization and (ii) the NMR signal level and potentially the signal-to-noise ratio, are enhanced. This choice induces a change of the probe resonance frequency by several hundreds of kHz for 500 or 700 MHz spectrometer. We show that the resulting mismatch condition for emission can be removed by adding other tuning and matching degrees of freedom located on the excitation line (or by symmetry on the reception line) decoupled to the probe resonance circuit by the crossed diodes.     

低场核磁共振短死时间射频线圈与射频开关的设计

本文以核磁共振（NMR）射频线圈振铃信号产生原理为对象进行分析研究,提出了一种适用于低场环境下由环状间隙腔线圈与螺线管线圈构成的收发分离式短死时间射频线圈设计方案,采用优化调谐匹配网络提高发射效率;根据射频线圈方案需求设计了快速切换的射频开关及驱动．在此基础上依据仿真结果制作了短死时间射频线圈,并应用于自主研制的低场9.51 MHz便携式NMR谱仪系统,进行NMR实验,结果显示可将收发切换时间缩短至10 μs以内,验证了该设计方案的可行性．     

Microwave frequency modulation in CW EPR at W-band using a loop-gap resonator

Loop-gap resonator (LGR) technology has been extended to W-band (94GHz). One output of a multiarm Q-band (35GHz) EPR bridge was translated to W-band for sample irradiation by mixing with 59 GHz; similarly, the EPR signal was translated back to Q-band for detection. A cavity resonant in the cylindrical TE011 mode suitable for use with 100 kHz field modulation has also been developed. Results using microwave frequency modulation (FM) at 50 kHz as an alternative to magnetic field modulation are described. FM was accomplished by modulating a varactor coupled to the 59 GHz oscillator. A spin-label study of sensitivity was performed under conditions of overmodulation and gamma2H1(2)T1T2<1. EPR spectra were obtained, both absorption and dispersion, by lock-in detection at the fundamental modulation frequency (50 kHz), and also at the second and third harmonics (100 and 150 kHz). Source noise was deleterious in first harmonic spectra, but was very low in second and third harmonic spectra. First harmonic microwave FM was transferred to microwave modulation at second and third harmonics by the spins, thus satisfying the "transfer of modulation" principle. The loaded Q-value of the LGR with sample was 90 (i.e., a bandwidth between 3 dB points of about 1 GHz), the resonator efficiency parameter was calculated to be 9.3 G at one W incident power, and the frequency deviation was 11.3 MHz p-p, which is equivalent to a field modulation amplitude of 4 G. W-band EPR using an LGR is a favorable configuration for microwave FM experiments.     

Phase-locking transition in a chirped superconducting Josephson resonator

We observe a sharp threshold for dynamic phase locking in a high-Q transmission line resonator embedded with a Josephson tunnel junction, and driven with a purely ac, chirped microwave signal. When the drive amplitude is below a critical value, which depends on the chirp rate and is sensitive to the junction critical current I0, the resonator is only excited near its linear resonance frequency. For a larger amplitude, the resonator phase locks to the chirped drive and its amplitude grows until a deterministic maximum is reached. Near threshold, the oscillator evolves smoothly in one of two diverging trajectories, providing a way to discriminate small changes in I0 with a nonswitching detector, with potential applications in quantum state measurement.     

Open-type EPR spectrometer to measure electron spins of a sample located outside a resonator

An open-type electron paramagnetic resonance (EPR) spectrometer to measure a sample located outside a resonator was fabricated. As the resonator, the field modulation coils, and the main magnet were integrated on the resonator side in the sensor head, the space for a sample was opened. Thus, a large sample could be placed at the end of the resonator without much limitation on the size. For an application of this apparatus, various coal masses were placed on the resonator of the sensor head and EPR measurements were performed nondestructively. It was found that the EPR signal intensity of coals showed a good correlation with the carbon-to-hydrogen ratio, one of the parameters for classifying coal.     

Using of Digital Demodulation of Multiharmonic Overmodulated EPR Signals to Improve EPR Oximetry Reliability

Overmodulation of electron paramagnetic resonance (EPR) lines is routinely used in EPR oximetry in order to increase the signal-to-noise ratio and thus to improve the accuracy with which the line width of a spin probe can be measured. For a known probe type, the line width is easily translated into the oxygen partial pressure. A standard EPR spectrometer uses the analog phase-sensitive detection (PSD) to demodulate the EPR signal. PSD imposes the restriction that only one spectrum is measured at a time, which is normally the first-harmonic EPR line. Information about EPR signals centered at the other harmonics of the modulation frequency is irreversibly destroyed by PSD. The question is raised whether this information can be utilized for EPR oximetry, for overmodulation enhances the second- and the other harmonic spectra, so that they approach the first-harmonic spectrum in intensity. To find an answer, numerical simulation and experimental measurements have been conducted. The experiment required modification of the detection scheme, so that all EPR-related information in the overmodulated signal is preserved. This permits measuring of the multiharmonic EPR spectrum, which when fitted to a set of the corresponding theoretical lines produces more accurate results in comparison with the standard overmodulation method.     

新型X波段多功能EPR谱仪的设计与性能

本文设计和研制了一款新型X波段多功能电子顺磁共振（electron paramagnetic resonance,EPR）谱仪,并为其开发一款新的控制和读出系统（control and readout system,CRS）来操控微波脉冲的产生和信号的采集,提高了系统的集成度和可扩展性. 该谱仪可实现常规的连续波EPR（continuous-wave EPR,cw-EPR）、脉冲EPR（pulsed EPR）和瞬态EPR（transient EPR,trEPR）实验,并装配了6~300 K的无液氦变温装置,以及兼具平行模式与垂直模式的新型双模连续波谐振腔和用于脉冲EPR及trEPR的介质腔. 针对新型EPR谱仪和新谐振腔,本文利用双模连续波、脉冲和瞬态三个不同方式的EPR实验,对其功能进行了验证.     

Reaction kinetics analysis to estimate in vivo decay rate of EPR signals of a nitroxide radical in the brain and the inferior vena cava of rats

To clarify the degree of the influence of the peripheral organs on the temporal changes in the electron paramagnetic resonance (EPR) signal intensity of a nitroxide radical permeating the blood-brain barrier, 3-hydroxymethyl-2,2,5,5-tetramethylprrolidine-1-oxyl (hydroxymethyl-PROXYL), in the brain, temporal changes in the EPR signal in the brain or inferior vena cava of rats were measured by an in vivo 700 MHz radio-frequency EPR spectrometer equipped with a bridged loop-gap resonator or a surface-coil-type resonator. In all measurements, good linearity was observed on semilogarithmic plots of the signal intensity against time after the hydroxymethyl-PROXYL injection. From these plots, the reaction rate and the initial level of hydroxymethyl-PROXYL in the brain and the vena cava were calculated. A mathematical model expressing the nitroxide radical concentration in the brain, which is connected to other organs via the circulatory system, was made. With this model and the results of the EPR measurements, the degrees of influence of the nitroxide reduction in the brain and the other organs were simulated. It was found that the reaction rate (equal to log2/half-life) of hydroxymethyl-PROXYL observed in the brain reflected the reduction of hydroxymethyl-PROXYL there and was not influenced by the reduction in other organs.     

Estimation of the in vivo decay rate of EPR signals for a nitroxide radical in rat brains by a region-selected intensity determination method

The region-selected intensity determination (RSID) method was proposed to obtain the temporal changes in electron paramagnetic resonance (EPR) signal intensity from a selected region by a stationary magnetic field gradient. To select the region, the subtraction field that was derived from the distance between the center and the projection of the selected region to the direction of the field gradient was applied to the main field. The directions of the stationary magnetic field gradient at a constant strength were systematically changed in a three-dimensional space after each acquisition of the spectrum. All spectra under the field gradient were accumulated and the resultant spectrum was deconvoluted by a spectrum without the field gradient. The center height of the deconvoluted spectrum indicates the signal intensity of the selected region. To verify this method, a phantom or in vivo study was conducted on a 700 MHz radio-frequency EPR spectrometer equipped with a bridged loop-gap resonator. In the temporal EPR measurements of phantoms including a nitroxide radical aqueous solution with and without ascorbic acid, the selected regions were alternatively changed at the position of the two phantoms. The signal intensity derived from the one phantom showed an exponential decay, and for the other phantom, no temporal changes. The spatial resolution of this method was estimated to be 2.7 mm by using a pinpoint phantom that included diphenylpicrylhydrazyl powder. In the in vivo temporal EPR measurements, the selected regions were alternatively changed at the cerebral cortex and the striatum of rats that had received a blood-brain barrier-permeative nitroxide radical. The decay rate of the signal intensity at each region obtained by this method was consistent with those previously reported.     

Twin LC Resonator System for EPR Measurements Operating at Radio-Frequency

Two LC resonant circuits resonating at the same frequency (245 MHz) faced each other with reverse polarity (twin electron paramagnetic resonance (EPR) resonator). For the inductor of the LC circuit, a square single-turn one-loop coil (width, 38 mm) was fabricated. Each LC circuit was independently tuned using mechanical variable capacitors. A cylindrical phantom (diameter, 25 mm) including a 1 mM nitroxide radical physiological saline solution was located at the center of two coils (distance between these coils, 50 mm). Two resonant frequencies (the lower and the higher ones) were observed at each LC circuit of the twin EPR resonator with termination of the other LC circuit. The lower resonant frequency alone was observed when the powers from two LC circuits of the twin EPR resonator were combined by a 180° combiner. On the other hand, the higher frequency alone was observed when they were combined by a 0° combiner. EPR signals could be obtained using the 180° combiner (lower frequency) but not the 0° combiner (higher frequency).     

DNP-EPR多功能谱仪中微波桥的设计与实现

在自主研制的动态核极化（Dynamic Nuclear Polarization,DNP）分子影像装置的基础上,提出了一种集DNP和电子顺磁共振（Electron Paramagnetic Resonance,EPR）于一体的多功能谱仪,并对其中的关键部件之一--微波桥进行了设计.微波桥的引入,实现了DNP微波发射机的集成化,以及在DNP谱仪基础上的EPR功能扩展.通过结构设计、电路仿真及系统测试,完成了高频谱纯度、高动态范围的微波发射机以及低噪声系数的微波检测系统的设计与制作.并通过DNP增强实验以及连续波EPR实验对微波桥的性能进行了验证.     

A bridged loop-gap S-band surface resonator for topical EPR spectroscopy.

The design and structure of a bridged loop-gap surface resonator developed for topical EPR spectroscopy and imaging of the distribution and metabolism of spin labels in in vivo skin is reported. The resonator is a one-loop, one-gap bridged structure. A pivoting single loop-coupling coil was used to couple the microwave power to the loop-gap resonant structure. A symmetric coupling circuit was used to achieve better shielding and minimize radiation. The frequency of the resonator can be easily adjusted by trimming the area of the capacitive foil bridge, which overlaps the gap in the cylindrical loop. The working frequency set was 2.2 GHz and the unloaded Q was 720. The B1 field of this resonator was measured and spatially mapped by three-dimensional EPR imaging. The resonator is well suited to topical measurements of large biological subjects and is readily applicable for in vivo measurements of free radicals in human skin.