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1.
HNO ; 2024 Apr 09.
Artículo en Alemán | MEDLINE | ID: mdl-38592481

RESUMEN

BACKGROUND: Results of neurotological function diagnostics in the context of interdisciplinary vertigo assessment are usually formulated as free-text reports (FTR). These are often subject to high variability, which may lead to loss of information. The aim of the present study was to evaluate the completeness of structured reports (SR) and referrer satisfaction in the neurotological assessment of vertigo. MATERIALS AND METHODS: Neurotological function diagnostics performed as referrals (n = 88) were evaluated retrospectively. On the basis of the available raw data, SRs corresponding to FTRs from clinical routine were created by means of a specific SR template for neurotological function diagnostics. FTRs and SRs were evaluated for completeness and referring physician satisfaction (n = 8) using a visual analog scale (VAS) questionnaire. RESULTS: Compared to FTRs, SRs showed significantly increased overall completeness (73.7% vs. 51.7%, p < 0.001), especially in terms of patient history (92.5% vs. 66.7%, p < 0.001), description of previous findings (87.5% vs. 38%, p < 0.001), and neurotological (33.5% vs. 26.7%, p < 0.001) and audiometric function diagnostics (58% vs. 32.3%, p < 0.001). In addition, SR showed significantly increased referring physician satisfaction (VAS 8.8 vs. 4.9, p < 0.001). CONCLUSION: Neurotological SRs enable a significantly increased report completeness with higher referrer satisfaction in the context of interdisciplinary assessment of vertigo. Furthermore, SRs are particularly suitable for scientific data analysis, especially in the context of big data analyses.

2.
Australas J Ageing ; 43(1): 199-204, 2024 Mar.
Artículo en Inglés | MEDLINE | ID: mdl-37861202

RESUMEN

OBJECTIVE: To (a) compare characteristics of patients who fall with those of patients who did not fall; and (b) characterise falls (time, injury severity and location) through three fall reporting methods (incident system reports, medical notes and clinician reports). METHODS: A substudy design within a stepped-wedge clinical trial was used: 3239 trial participants were recruited from two inpatient Geriatric Evaluation and Management Units and one general medicine ward in two Australian states. To compare the characteristics of patients who had fallen with those who had not, descriptive tests were used. To characterise falls through three reporting methods, bivariate logistic regressions were used. RESULTS: Patients who had fallen were more likely than patients who had not fallen to be cognitively impaired (51% vs. 29%, p < 0.01), admitted with falls (38% vs. 28%, p = 0.01) and have poor health outcomes such as prolonged length of stay (24 [16-34] vs. 12 [8-19] days [IQR], p < 0.01) and less likely to be discharged directly to the community (62% vs. 47%, p < 0.01). Most falls were captured from medical notes (93%), with clinician (71%) and incident reports (68%) missing 21%-25% of falls. The proportion of injurious falls identified through incident reports was higher than medical records or clinician reports (40% vs. 34% vs. 37%). CONCLUSIONS: This study reaffirms the need to improve reporting falls in incident systems and at clinical handover to the team leader. Research should continue to use more than one method of identifying falls, but include data from medical records. Many falls cause injury, resulting in poor health outcomes.


Asunto(s)
Hospitalización , Hospitales , Anciano , Humanos , Australia , Gestión de Riesgos
3.
Nat Commun ; 14(1): 7046, 2023 Nov 10.
Artículo en Inglés | MEDLINE | ID: mdl-37949859

RESUMEN

Large laser facilities have recently enabled material characterization at the pressures of Earth and Super-Earth cores. However, the temperature of the compressed materials has been largely unknown, or solely relied on models and simulations, due to lack of diagnostics under these challenging conditions. Here, we report on temperature, density, pressure, and local structure of copper determined from extended x-ray absorption fine structure and velocimetry up to 1 Terapascal. These results nearly double the highest pressure at which extended x-ray absorption fine structure has been reported in any material. In this work, the copper temperature is unexpectedly found to be much higher than predicted when adjacent to diamond layer(s), demonstrating the important influence of the sample environment on the thermal state of materials; this effect may introduce additional temperature uncertainties in some previous experiments using diamond and provides new guidance for future experimental design.

4.
J Intellect Disabil Res ; 67(11): 1073-1095, 2023 Nov.
Artículo en Inglés | MEDLINE | ID: mdl-37435852

RESUMEN

BACKGROUND: People with intellectual disability have a high risk of falls and falls-related injuries. Although people with intellectual disability are at increased risk of falls, there is a need to better understand the efficacy of interventions that can help reduce falls and address risk factors in this population. This systematic review aimed to evaluate the type, nature and effectiveness of interventions undertaken to reduce falls with community-dwelling adults with intellectual disability and the quality of this evidence. METHOD: Four electronic databases were searched: Ovid MEDLINE, PsycINFO, CINAHL Plus and the Cochrane Library. Studies were included if they involved people aged 18 years or over, at least 50% of study participants had intellectual disability, participants were community-dwelling, and the study evaluated any interventions aiming to reduce falls. Study quality was assessed using the National Institutes of Health study quality assessment tools. Reporting of the review followed Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines. RESULTS: Seven studies were eligible for review, with a total of 286 participants and mean age of 50.4 years. As only one randomised trial was identified, a narrative synthesis of results was undertaken. Five studies evaluated exercise interventions, one evaluated a falls clinic programme, and one evaluated stretch fabric splinting garments. Methodological quality varied (two studies rated as good, four as fair, and one as poor). Exercise interventions varied in terms of exercise type and dosage, frequency and intensity, and most did not align with recommendations for successful falls prevention exercise interventions reported for older people. While the majority of studies reported reduced falls, they differed in methods of reporting falls, and most did not utilise statistical analyses to evaluate outcomes. CONCLUSION: This review identified a small number of falls prevention intervention studies for people with intellectual disability. Although several studies reported improvements in fall outcomes, ability to draw conclusions about intervention effectiveness is limited by small sample sizes and few studies. Further large-scale research is required to implement and evaluate falls prevention interventions specifically for adults with intellectual disability.

5.
Implement Sci ; 18(1): 2, 2023 01 26.
Artículo en Inglés | MEDLINE | ID: mdl-36703172

RESUMEN

BACKGROUND: Facilitated implementation of nurse-initiated protocols to manage fever, hyperglycaemia (sugar) and swallowing difficulties (FeSS Protocols) in 19 Australian stroke units resulted in reduced death and dependency for stroke patients. However, a significant gap remains in translating this evidence-based care bundle protocol into standard practice in Australia and New Zealand. Facilitation is a key component for increasing implementation. However, its contribution to evidence translation initiatives requires further investigation. We aim to evaluate two levels of intensity of external remote facilitation as part of a multifaceted intervention to improve FeSS Protocol uptake and quality of care for patients with stroke in Australian and New Zealand acute care hospitals. METHODS: A three-arm cluster randomised controlled trial with a process evaluation and economic evaluation. Australian and New Zealand hospitals with a stroke unit or service will be recruited and randomised in blocks of five to one of the three study arms-high- or low-intensity external remote facilitation or a no facilitation control group-in a 2:2:1 ratio. The multicomponent implementation strategy will incorporate implementation science frameworks (Theoretical Domains Framework, Capability, Opportunity, Motivation - Behaviour Model and the Consolidated Framework for Implementation Research) and include an online education package, audit and feedback reports, local clinical champions, barrier and enabler assessments, action plans, reminders and external remote facilitation. The primary outcome is implementation effectiveness using a composite measure comprising six monitoring and treatment elements of the FeSS Protocols. Secondary outcome measures are as follows: composite outcome of adherence to each of the combined monitoring and treatment elements for (i) fever (n=5); (ii) hyperglycaemia (n=6); and (iii) swallowing protocols (n=7); adherence to the individual elements that make up each of these protocols; comparison for composite outcomes between (i) metropolitan and rural/remote hospitals; and (ii) stroke units and stroke services. A process evaluation will examine contextual factors influencing intervention uptake. An economic evaluation will describe cost differences relative to each intervention and study outcomes. DISCUSSION: We will generate new evidence on the most effective facilitation intensity to support implementation of nurse-initiated stroke protocols nationwide, reducing geographical barriers for those in rural and remote areas. TRIAL REGISTRATION: ACTRN12622000028707. Registered 14 January, 2022.


Asunto(s)
Trastornos de Deglución , Hiperglucemia , Accidente Cerebrovascular , Humanos , Australia , Accidente Cerebrovascular/terapia , Australasia , Trastornos de Deglución/terapia , Hiperglucemia/terapia , Fiebre/terapia , Ensayos Clínicos Controlados Aleatorios como Asunto
6.
Phys Rev Lett ; 129(23): 235001, 2022 Dec 02.
Artículo en Inglés | MEDLINE | ID: mdl-36563203

RESUMEN

Solids ablate under laser irradiation, but experiments have not previously characterized the initiation of this process at ultrarelativistic laser intensities. We present first measurements of bulk ion velocity distributions as ablation begins, captured as a function of depth via Doppler-shifted x-ray line emission from two viewing angles. Bayesian analysis indicates that bulk ions are either nearly stationary or flowing outward at the plasma sound speed. The measurements quantitatively constrain the laser-plasma ablation mechanism, suggesting that a steplike electrostatic potential structure drives solid disassembly.

7.
Rev Sci Instrum ; 93(10): 103548, 2022 Oct 01.
Artículo en Inglés | MEDLINE | ID: mdl-36319320

RESUMEN

A new class of crystal shapes has been developed for x-ray spectroscopy of point-like or small (a few mm) emission sources. These optics allow for dramatic improvement in both achievable energy resolution and total throughput of the spectrometer as compared with traditional designs. This class of crystal shapes, collectively referred to as the Variable-Radii Spiral (VR-Spiral), utilize crystal shapes in which both the major and minor radii are variable. A crystal using this novel VR-Spiral shape has now been fabricated for high-resolution Extended X-ray Absorption Fine Structure (EXAFS) experiments targeting the Pb-L3 (13.0 keV) absorption edge at the National Ignition Facility. The performance of this crystal has been characterized in the laboratory using a microfocus x-ray source, showing that high-resolution high-throughput EXAFS spectra can be acquired using this geometry. Importantly, these successful tests show that the complex three-dimensional crystal shape is manufacturable with the required precision needed to realize the expected performance of better than 5 eV energy resolution while using a 30 mm high crystal. An improved generalized mathematical form for VR-Spiral shapes is also presented allowing improved optimization as compared to the first sinusoidal-spiral based design. This new formulation allows VR-Spiral spectrometers to be designed at any magnification with optimized energy resolution at all energies within the spectrometer bandwidth.

8.
Rev Sci Instrum ; 93(10): 103527, 2022 Oct 01.
Artículo en Inglés | MEDLINE | ID: mdl-36319349

RESUMEN

A high-resolution x-ray spectrometer was coupled with an ultrafast x-ray streak camera to produce time-resolved line shape spectra measured from hot, solid-density plasmas. A Bragg crystal was placed near laser-produced plasma to maximize throughput; alignment tolerances were established by ray tracing. The streak camera produced single-shot, time-resolved spectra, heavily sloped due to photon time-of-flight differences, with sufficient reproducibility to accumulate photon statistics. The images are time-calibrated by the slope of streaked spectra and dewarped to generate spectra emitted at different times defined at the source. The streaked spectra demonstrate the evolution of spectral shoulders and other features on ps timescales, showing the feasibility of plasma parameter measurements on the rapid timescales necessary to study high-energy-density plasmas.

9.
Rev Sci Instrum ; 93(10): 103508, 2022 Oct 01.
Artículo en Inglés | MEDLINE | ID: mdl-36319367

RESUMEN

WEST (tungsten environment in steady-state tokamak) is starting operation for the first time with a water-cooled full tungsten divertor, enabling long pulse operation. Heating is provided by radiofrequency systems, including lower hybrid current drive (LHCD). In this context, a compact multi-energy hard x-ray camera has been installed for energy and space-resolved measurements of the electron temperature, the fast electron tail density produced by LHCD and runaway electrons, and the beam-target emission of tungsten at the target due to fast electron losses interacting with the divertor plates. The diagnostic is a pinhole camera based on a 2D pixel array detector (Pilatus 3 CdTe CMOS Hybrid-Pixel detector produced by DECTRIS). The novelty of this diagnostic technique is the detector's capability of adjusting the threshold energy at pixel level. This innovation provides great flexibility in the energy configuration, allowing simultaneous space and energy-resolved x-ray measurements. This contribution details two important steps in the preparation of the diagnostic operation. First, the in-vessel spatial calibration that was carried out with a radioactive source. Second, the synthetic diagnostic is obtained by the suite of codes ALOHA/C3PO/LUKE/R5-X2, which simulates LH wave propagation and absorption, as well as the fast electron bremsstrahlung production.

10.
Phys Rev Lett ; 129(13): 135001, 2022 Sep 23.
Artículo en Inglés | MEDLINE | ID: mdl-36206410

RESUMEN

Short-pulse, laser-solid interactions provide a unique platform for studying complex high-energy-density matter. We present the first demonstration of solid-density, micron-scale keV plasmas uniformly heated by a high-contrast, 400 nm wavelength laser at intensities up to 2×10^{21} W/cm^{2}. High-resolution spectral analysis of x-ray emission reveals uniform heating up to 3.0 keV over 1 µm depths. Particle-in-cell simulations indicate the production of a uniformly heated keV plasma to depths of 2 µm. The significant bulk heating and presence of highly ionized ions deep within the target are attributed to the few MeV hot electrons that become trapped and undergo refluxing within the target sheath fields. These conditions enabled the differentiation of atomic physics models of ionization potential depression in high-energy-density environments.

11.
Aust Vet J ; 100(12): 579-586, 2022 Dec.
Artículo en Inglés | MEDLINE | ID: mdl-36081249

RESUMEN

Tick paralysis is a paralysis caused by bites from Ixodes holocyclus, affecting an estimated 10,000 companion animals in Australia annually. Despite tick antiserum being the cornerstone of treatment, there are no large-scale general practice studies that examine survival outcomes in tick antiserum-treated animals. In this retrospective study, clinical records from three far north Queensland general practice veterinary clinics were searched for tick antiserum-treated canine and feline patients were seen between 2000 and 2020. Patient records were assessed for survival outcomes, then logistic regression and Bayesian structural time-series model were used to assess trends in incidence and mortality and the relationship between these and time of year, rainfall, and species. The study included 2019 dog and 953 cat records. When patients with unknown outcomes were removed, canine mortality was 11.8% (213/1799) and feline mortality was 5.3% (46/872). Dogs were found to have 2.41 odds of dying following treatment than cats. August and September had the highest mean number of monthly treatments, and rainfall in the previous 5-8 months was positively correlated with the number of patients treated in each month. The odds of mortality did not vary significantly by month or season, and from 2015 onwards, there was a significant decrease in the proportion of dogs treated by the clinics. Overall, this study provides new information on tick antiserum treatment outcomes in general practice as well as new information on tick paralysis incidence in far north Queensland.


Asunto(s)
Enfermedades de los Gatos , Enfermedades de los Perros , Ixodes , Parálisis por Garrapatas , Gatos , Perros , Animales , Parálisis por Garrapatas/epidemiología , Parálisis por Garrapatas/veterinaria , Enfermedades de los Gatos/epidemiología , Queensland/epidemiología , Hospitales Veterinarios , Incidencia , Estudios Retrospectivos , Teorema de Bayes , Enfermedades de los Perros/tratamiento farmacológico , Enfermedades de los Perros/epidemiología
12.
Phys Rev Lett ; 128(18): 185002, 2022 May 06.
Artículo en Inglés | MEDLINE | ID: mdl-35594117

RESUMEN

Evolution of the hot spot plasma conditions was measured using high-resolution x-ray spectroscopy at the National Ignition Facility. The capsules were filled with DD gas with trace levels of Kr and had either a high-density-carbon (HDC) ablator or a tungsten (W)-doped HDC ablator. Time-resolved measurement of the Kr Heß spectra, absolutely calibrated by a simultaneous time-integrated measurement, allows inference of the electron density and temperature through observing Stark broadening and the relative intensities of dielectronic satellites. By matching the calculated hot spot emission using a collisional-radiative code to experimental observations, the hot spot size and areal density are determined. These advanced spectroscopy techniques further reveal the effect of W dopant in the ablator on the hot spot parameters for their improved implosion performance.

13.
J Nutr Health Aging ; 26(3): 217-221, 2022.
Artículo en Inglés | MEDLINE | ID: mdl-35297462

RESUMEN

BACKGROUND: The ENJOY project (Exercise interveNtion outdoor proJect in the cOmmunitY for older people) is a community-based research project actively promoting physical activity engagement through the delivery of an exercise program using outdoor multimodal exercise equipment. This study investigated the impact of the physical activity program on falls in older people. METHOD: This study was a multi-site prospective study with a pre-post intervention design and 12-month follow up. Eighty older people with increased falls risk underwent a 12-week supervised outdoors exercise program followed by a 6-month maintenance phase. The proportion of fallers and falls incidence were compared between the preceding and the prospective years. RESULTS: A sample of 54 (age 72.4±7.3, 79.6% women) was available for the 12 months analysis (due to COVID19 lockdowns, data of 19 participants were excluded and 4 dropped out). Number of fallers (from 51.8% to 31.4%, p=0.03) and falls incidence (from 42 to 29 falls, p<0.01) were significantly reduced at the 12-months follow up. CONCLUSION: The ENJOY Seniors Exercise Park program integrates outdoor multimodal exercise stations including specific exercises designed to challenge dynamic balance during functional daily movements. The outcomes provide preliminary evidence for the potential positive impact of the ENJOY Seniors Exercise Park in reducing falls for older people.


Asunto(s)
Accidentes por Caídas , COVID-19 , Accidentes por Caídas/prevención & control , Anciano , Control de Enfermedades Transmisibles , Ejercicio Físico , Femenino , Humanos , Masculino , Estudios Prospectivos
14.
Pilot Feasibility Stud ; 8(1): 28, 2022 Feb 04.
Artículo en Inglés | MEDLINE | ID: mdl-35120560

RESUMEN

BACKGROUND: Needle-related distress is a common yet poorly recognised and managed problem among haemodialysis (HD) patients. The aim of this pilot study is to test the feasibility and acceptability of the INJECT Intervention-an innovative psychology-based intervention to empower patients to self-manage needle distress with the support of dialysis nurses. METHODS: This investigator-initiated, single-arm, non-randomised feasibility study will take place in a large dialysis service in Adelaide, Australia. Participants will include patients aged ≥ 18 years, commencing or already receiving maintenance HD, recruited through dialysis physicians and nursing staff as individuals believed to be at risk of needle distress. They will be screened for inclusion using the Dialysis Fear of Injection Questionnaire (DFIQ) and enrolled into the study if the score is ≥ 2. The multi-pronged intervention encompasses (i) psychologist review, (ii) patient self-management program and (iii) nursing education program. The primary aim is to evaluate feasibility and acceptability of the intervention from patient and dialysis nurse perspectives, including recruitment, retention, engagement with the intervention and completion. Secondary exploratory outcomes will assess suitability of various tools for measuring needle distress, evaluate acceptability of the nursing education program and measure cannulation-related trauma and vascular access outcomes. CONCLUSION: The results will inform the protocol for larger trials addressing needle distress in HD patients. TRIAL REGISTRATION: Australian New Zealand Clinical Trials Registry (ANZCTR): ACTRN12621000229875, approved 4 April 2021, https://www.anzctr.org.au/ .

16.
Phys Rev Lett ; 127(20): 205001, 2021 Nov 12.
Artículo en Inglés | MEDLINE | ID: mdl-34860067

RESUMEN

Heß spectral line shapes are important for diagnosing temperature and density in many dense plasmas. This work presents Heß line shapes measured with high spectral resolution from solid-density plasmas with minimized gradients. The line shapes show hallmark features of Stark broadening, including quantifiable redshifts and double-peaked structure with a significant dip between the peaks; these features are compared to models through a Markov chain Monte Carlo framework. Line shape theory using the dipole approximation can fit the width and peak separation of measured line shapes, but it cannot resolve an ambiguity between electron density n_{e} and ion temperature T_{i}, since both parameters influence the strength of quasistatic ion microfields. Here a line shape model employing a full Coulomb interaction for the electron broadening computes self-consistent line widths and redshifts through the monopole term; redshifts have different dependence on plasma parameters and thus resolve the n_{e}-T_{i} ambiguity. The measured line shapes indicate densities that are 80-100% of solid, identifying a regime of highly ionized but well-tamped plasma. This analysis also provides the first strong evidence that dense ions and electrons are not in thermal equilibrium, despite equilibration times much shorter than the duration of x-ray emission; cooler ions may arise from nonclassical thermalization rates or anomalous energy transport. The experimental platform and diagnostic technique constitute a promising new approach for studying ion-electron equilibration in dense plasmas.

17.
Rev Sci Instrum ; 92(9): 093904, 2021 Sep 01.
Artículo en Inglés | MEDLINE | ID: mdl-34598494

RESUMEN

A novel high-resolution x-ray spectrometer for point-like emission sources has been developed using a crystal shape having both a variable major and a variable minor radius of curvature. This variable-radii sinusoidal spiral spectrometer (VR-Spiral) allows three common spectrometer design goals to be achieved simultaneously: 1. reduction of aberrations and improved spectral (energy) resolution, 2. reduction of source size broadening, and 3. use of large crystals to improve total throughput. The VR-Spiral concept and its application to practical spectrometer design are described in detail. This concept is then used to design a spectrometer for an extreme extended x-ray absorption fine structure experiment at the National Ignition Facility looking at the Pb L3 absorption edge at 13.0352 keV. The expected performance of this VR-Spiral spectrometer, both in terms of energy resolution and spatial resolution, is evaluated through the use of a newly developed raytracing tool, xicsrt. Finally, the expected performance of the VR-Spiral concept is compared to that of spectrometers based on conventional toroidal and variable-radii toroidal crystal geometries showing a greatly improved energy resolution.

19.
Rev Sci Instrum ; 92(7): 073502, 2021 Jul 01.
Artículo en Inglés | MEDLINE | ID: mdl-34340413

RESUMEN

A multi-energy soft x-ray pinhole camera has been designed, built, and deployed at the Madison Symmetric Torus to aid the study of particle and thermal transport, as well as MHD stability physics. This novel imaging diagnostic technique employs a pixelated x-ray detector in which the lower energy threshold for photon detection can be adjusted independently on each pixel. The detector of choice is a PILATUS3 100 K with a 450 µm thick silicon sensor and nearly 100 000 pixels sensitive to photon energies between 1.6 and 30 keV. An ensemble of cubic spline smoothing functions has been applied to the line-integrated data for each time-frame and energy-range, obtaining a reduced standard-deviation when compared to that dominated by photon-noise. The multi-energy local emissivity profiles are obtained from a 1D matrix-based Abel-inversion procedure. Central values of Te can be obtained by modeling the slope of the continuum radiation from ratios of the inverted radial emissivity profiles over multiple energy ranges with no a priori assumptions of plasma profiles, magnetic field reconstruction constraints, high-density limitations, or need of shot-to-shot reproducibility. In tokamak plasmas, a novel application has recently been tested for early detection, 1D imaging, and study of the birth, exponential growth, and saturation of runaway electrons at energies comparable to 100 × Te,0; thus, early results are also presented.

20.
Rev Sci Instrum ; 92(4): 043509, 2021 Apr 01.
Artículo en Inglés | MEDLINE | ID: mdl-34243460

RESUMEN

A compact multi-energy soft x-ray diagnostic is being installed on the W Environment in Steady-state Tokamak (WEST), which was designed and built to test ITER-like tungsten plasma facing components in a long pulse (∼1000 s) scenario. The diagnostic consists of a pinhole camera fielded with the PILATUS3 photon-counting Si-based detector (≲100 kpixel). The detector has sensitivity in the range 1.6-30 keV and enables energy discrimination, providing a higher energy resolution than conventional systems with metal foils and diodes with adequate space and time resolution (≲1 cm and 2 ms). The lower-absorption cut-off energy is set independently on each one of the ∼100 kpixels, providing a unique opportunity to measure simultaneously the plasma emissivity in multiple energy ranges and deduce a variety of plasma parameters (e.g., Te, nZ, and ΔZeff). The energy dependence of each pixel is calibrated here over the range 3-22 keV. The detector is exposed to a variety of monochromatic sources-fluorescence emission from metallic targets-and for each pixel, the lower energy threshold is scanned to calibrate the energy dependence. The data are fit to a responsivity curve ("S-curve") that determines the mapping between the possible detector settings and the energy response for each pixel. Here, the calibration is performed for three energy ranges: low (2.3-6 keV), medium (4.5-13.5 keV), and high (5.4-21 keV). We determine the achievable energy resolutions for the low, medium, and high energy ranges as 330 eV, 640 eV, and 950 eV, respectively. The main limitation for the energy resolution is found to be the finite width of the S-curve.

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