Linear Phase Research Articles

Hybrid Approach to Predict the Effective Properties of Supercritical Carbon Dioxide Extraction Model with Linear and Nonlinear Phase Equilibrium

Hybrid Approach to Predict the Effective Properties of Supercritical Carbon Dioxide Extraction Model with Linear and Nonlinear Phase Equilibrium

Analysis of Connectivity in Electromyography Signals to Examine Neural Correlations in the Activation of Lower Leg Muscles for Postural Stability: A Pilot Study.

In quiet standing, the central nervous system implements a pre-programmed ankle strategy of postural control to maintain upright balance and stability. This strategy comprises a synchronized common neural drive delivered to synergistically grouped muscles. This study evaluated connectivity between EMG signals of the unilateral and bilateral homologous muscle pairs of the lower legs during various standing balance conditions using magnitude-squared coherence (MSC). The leg muscles examined included the right and left tibialis anterior (TA), medial gastrocnemius (MG), and soleus (S). MSC is a frequency domain measure that quantifies the linear phase relation between two signals and was analyzed in the alpha (8-13 Hz), beta (13-30 Hz), and gamma (30-100 Hz) neural frequency bands for feet together and feet tandem, with eyes open and eyes closed conditions. Results showed that connectivity in the beta and lower and upper gamma bands (30-100 Hz) was influenced by standing balance conditions and was indicative of a neural drive originating from the motor cortex. Instability was evaluated by comparing less stable standing conditions with a baseline-eyes open feet together stance. Changes in connectivity in the beta and gamma bands were found to be most significant in the muscle pairs of the back leg during a tandem stance regardless of dominant foot placement. MSC identified the MG:S muscle pair as significant for the right and left leg. The results of this study provided insight into the neural mechanism of postural control.

Incidence rate of total knee arthroplasties in eleven European countries: Do they reach a plateau?

From several decades, the evolutions of the Incidence Rate (IR) of Primary Knee Arthroplasties are continuously increasing worldwide and have been widely studied in several countries. Some recent works have highlighted the fact that the IR is following a sigmoid curve composed of an exponential growth followed by a linear phase and finished by a plateau. Our objective is to assess the IR evolution of eleven European countries, representing thus a large proportion of this continent, regarding this sigmoid. IRs of primary knee arthroplasties for Austria, Denmark, Finland, France, Germany, Hungary, Italy, Poland, Spain, Sweden, and the United Kingdom between 2005 and 2019 were retrieved from the EUROSTAT database. Several regression models were fitted to each country's IRs: Poisson, linear, asymptotic, logistic, and Gompertz regression. For each country and each model, the RMSE (Root Mean Square Error) and R2 were calculated and used to estimate their position with respect to this sigmoid curve. The best regression models for knee arthroplasties varied following countries. Logistic and Gompertz regressions had the lowest RMSE and R2 values for Austria, Denmark, Germany, Sweden, and the UK. Hungary, Italy, and Poland favored the Poisson regression model. Finland and Spain presented difficulties in determining the optimal model (linear or Poisson), while France faced challenges in choosing between logistic, Gompertz, and linear regression. In conclusion, the growth dynamics of IR differ across European countries. Some countries seem to have already reached a plateau and will therefore experience slight growth in the future.

Lifted time stable inversion based feedforward control for linear non-minimum phase systems

The feedforward control strategy exhibits substantial capability and high-precision control for output tracking tasks. However, the feedforward control action obtained through solving the inverse problem is unstable for non-minimum phase systems. In this paper, a novel stable inversion method is presented, termed lifted time stable inversion. Compared to the existing method, the proposed method does not necessitate infinite window to accomplish the tracking tasks. A comprehensive analysis of the developed method is provided, focusing on analysis of finite time stability and input–output finite time stability, aspects that have garnered limited attention in the literature on feedforward control. Furthermore, the relationship with existing stable inversion method is illustrated by constructing a linear transformation of the initial conditions for both inversions. Simulation results substantiate the validity of the finite time bounds and demonstrate the superior tracking advantage of the proposed method relative to the existing method. The performance of the proposed method is further displayed experimentally on a piezoelectric ceramic positioning platform.

Soliton and rogue wave excitations in the Chen-Lee-Liu derivative nonlinear Schrödinger equation with two complex PT-symmetric potentials.

We demonstrate that fundamental nonlinear localized modes can exist in the Chen-Lee-Liu equation modified by several parity-time (PT) symmetric complex potentials. The explicit formula of analytical solitons is derived from the physically interesting Scarf-II potential, and families of spatial solitons in internal modes are numerically captured under the optical lattice potential. By the spectral analysis of linear stability, we observe that these bright solitons can remain stable across a broad scope of potential parameters, despite the breaking of the corresponding linear PT-symmetric phases. When these bright spatial solitons interact with external incident waves, they can always maintain their original shape, while the external incident wave may remain unchanged or may generate a reflected wave after the interaction. Then, the adiabatic switching of potential parameters is carried out in a way that allows these bright solitons to be excited from one unstable bound state to another alternative stable bound state. Many other intriguing properties associated with these nonlinear localized modes including the lateral power flow are further analyzed meticulously. Various high-order rogue waves induced by modulation instability in these PT-symmetric systems are generated too. These results may be useful to construct novel optical soliton communication schemes or design related optical materials.

Evaluation of Residual Phase from Orbit Accuracy Using TerraSAR-X/TanDEM-X SAR Observation

Interferometric synthetic aperture radar (InSAR) is used to observe precise surface displacement and create digital elevation models by calculating the phase differences between two or more SAR images obtained over the same surface area. The phase of a repeat-pass interferogram can be expressed as the sum of contributions from topography, ground displacement, earth curvature, noise, and the satellite’s orbital phase component. For precise observations, removing unnecessary phase components is essential. Errors owing to the satellite’s orbit accuracy leave residual phases in the interferogram, which become a significant limitation for wide-area ground displacement monitoring using the InSAR technique. This study used four pairs of images acquired by TerraSAR-X in monostatic pursuit mode from October 2014 to February 2015 to analyze the residual phase caused by orbital errors. Since these images were acquired with a 10-second interval between the TerraSAR-X and TanDEM-X satellites, the phase coherence was maintained over time. The Tarim Basin in China was selected as the study area to minimize the impact of terrain distortion. By introducing a 0.5 m error into the x, y, and z components of the satellite position vectors and creating differential interferograms, it was found that the x component’s orbital error caused the largest residual phase, with linear residual phases observed in the north-south direction. Furthermore, various baselines ranging from -29.71 to 263.21 m were used to quantitatively compare the residual phases caused by orbital errors based on the perpendicular baseline. The residual phase was similar across the four differential interferograms, with approximately 3.49 π for the x component, 0.85 π for the y component, and 1.25 π for the z component. The residual phase resulting from simulated orbital errors was effectively mitigated using a 2D quadratic model.

High-efficiency, dynamic optical beam steering device using Pancharatnam phase

A large aperture, non-mechanical beam steering device is proposed that demonstrates a defect free, continuous phase profile, for a high-efficiency beam steering. The device uses a fringe field electrode structure, a vertical surface alignment of the liquid crystal director, and, to our knowledge, a novel two-step voltage application method to produce a linear Pancharatnam phase gradient that can be electrically tuned. An example optical beam steering device is numerically calculated and demonstrates steering angles of IR light (1550 nm) from less than 1 deg to greater than 10 deg with an efficiency of over 80%. This new approach provides previously unobtainable beam steering performance in a single layer, Pancharatnam phase device.

Polarization-resolved transmission matrices of specialty optical fibers.

Transmission matrix measurements of multimode fibers are now routinely performed in numerous laboratories, enabling control of the electric field at the distal end of the fiber and paving the way for the potential application to ultrathin medical endoscopes with high resolution. The same concepts are applicable to other areas, such as space division multiplexing, targeted power delivery, fiber laser performance, and the general study of the mode coupling properties of the fiber. However, the process of building an experimental setup and developing the supporting code to measure the fiber's transmission matrix remains challenging and time consuming, with full details on experimental design, data collection, and supporting algorithms spread over multiple papers or lacking in detail. Here, we outline a complete and self-contained description of the specific experiment we use to measure fully polarization-resolved transmission matrices, which enable full control of the electric field, in contrast to the more common scalar setups. Our exact implementation of the full polarization experiment is new and is easy to align while providing flexibility to switch between full-polarization and scalar measurements if desired. We utilize a spatial light modulator to measure the transmission matrix using linear phase gratings to generate the basis functions and measure the distal electric field using phase-shifting interferometry with an independent reference beam derived from the same laser. We introduce a new method to measure and account for the phase and amplitude drift during the measurement using a Levenberg-Marquardt nonlinear fitting algorithm. Finally, we describe creating distal images through the multimode fiber using phase-to-amplitude shaping techniques to construct the correct input electric field through a superposition of the basis functions with the phase-only spatial light modulator. We show that results are insensitive to the choice of phase-to-amplitude shaping technique as quantified by measuring the contrast of a razor blade at the distal end of the fiber, indicating that the simplest but most power efficient method may be the best choice for many applications. We also discuss some of the possible variations on the setup and techniques presented here and highlight the details that we have found key in achieving high fidelity distal control. Throughout the paper, we discuss applications of our setup and measurement process to a variety of specialty fibers, including fibers with harsh environment coatings, coreless fibers, rectangular core fibers, pedestal fibers, and a pump-signal combiner based on a tapered fiber bundle. This demonstrates the usefulness of these techniques across a variety of application areas and shows the flexibility of our setup in studying various fiber types.

Study on additional stress diffusion characteristics of waste tire artificial foundation

ABSTRACT The study of additional stress diffusion law in the artificial foundation has a significant importance for analysing the overall deformation mechanism of the ‘foundation + underlying soil’ coupled system. Through plate loading tests, the soil pressure within the foundation under various conditions was measured, and the corresponding P-S curves were obtained. By analysing the trend of P-S curves and evolution of the compressive stiffness, the failure mechanism of the Artificial Foundation and single column composite body was explained. The calculation methods for the interface rubber content ratio and modified volumetric rubber content ratio, which quantify the contact relationship between tires and soil and the interlocking relationship between tires, were provided. Through thin plate spline interpolation, an additional stress field was established, which demonstrate the impact of the rubber content on the diffusion shape of the additional stress. The results indicate that sliding of the underlying layer is the primarily failure mode of the double-layer foundation system. The necessary condition for the hoop effect vanishing is the adequacy of lower boundary stiffness. Compared to plain soil, the bearing capacities of the artificial foundations increase by 2.33–5.72 times. Laying geo-textile and geo-grid between layers can effectively enhance the initial compression stiffness and prolong the linear bearing phase. With an increase in rubber content, the additional stress diffusion angle increase by as much as 16.2% to 79.9%. Finally, a stress diffusion function was established by fitting the measured soil pressure values.

Tuning Earth System Models Without Integrating to Statistical Equilibrium.

This paper proposes algorithms for estimating parameters in Earth System Models (ESMs), specifically focusing on simulations that have not yet achieved statistical equilibrium and display climate drift. The basic idea is to treat ESM time series as outputs of an autoregressive process, with parameters that depend on those of the ESM. The maximum likelihood estimate of the parameters and the associated uncertainties are derived. This method requires solving a nonlinear system of equations and often results in unsatisfactory parameter estimates, especially in short simulations. This paper explores a strategy for overcoming this limitation by dividing the estimation process into two linear phases. This algorithm is applied to estimate parameters in the convection scheme of the Community Earth System Model version 2 (CESM2). The modified algorithm can produce accurate estimates from perturbation runs as short as 2years, including those exhibiting climate drift. Despite accounting for climate drift, the accuracy of these estimates is comparable to that of algorithms that do not. While these initial results are not optimal, the autoregressive approach presented here remains a promising strategy for model tuning since it explicitly accounts for climate drift in a rigorous statistical framework. The current performance issues are believed to be technical in nature and potentially solvable through further investigation.

Elliptical birefringence model for highly efficient study of SOP and DOP in complicated birefringent fiber

Optical chirality has recently let to many novel prospects and applications and this phenomenon also exists in twisting linear birefringent fiber. However, it has not been investigated when the birefringence is non-uniform, namely, both the spinning rate and linear birefringence vary along the fiber axis. Additionally, this non-uniformity brings dissatisfaction in terms of computational efficiency when using traditional methodologies, such as the coupled mode theory and the cascaded linear phase delayer matrix model. In order to study this kind of complicated birefringent fiber (CBF), this work introduces an innovative solution to this issue: the elliptical phase delayer model, specifically designed to analyze situations where the optical fiber experiences arbitrary spinning. The derivation of this model employs the Jones matrix, and its validity and computational efficiency are verified through numerical calculations. Furthermore, this work explores the State of Polarization (SOP) of CBF using the proposed model. It also investigates the Degree of Polarization (DOP) of the output light wave, which is indicative of the depolarization effect due to spinning. This study presents an elliptical phase delayer model that offers an efficient means of calculating the SOP and DOP of CBF, and is also applicable to other spun optical structures.

Numerical study of runaway current impact on sawtooth oscillations in tokamaks

Abstract This study investigates the influence of runaway current in runaway plasmas on the dynamics of sawtooth oscillations and resultant loss of runaway electrons (RE) using the 3D magnetohydrodynamic (MHD) code M3D-C$^{1}$ (Jardin {\it et al} 2012 {\it J. Comput. Sci. Discovery} {\bf 6} 014002). Using an HL-2A-like equilibrium, we confirm that in the linear phase, the impact of REs on resistive internal kink instabilities is consistent with previous research.
In the nonlinear phase, as the runaway current fully replaces the plasmas current, we observe a significant suppression of sawtooth oscillations, with the first sawtooth cycle occurring earlier compared to the case without runaway current. Following the first sawtooth collapse, plasma current density, runaway current density, and safety factor ($q$) flatten within the $q=1$ surface, albeit displaying fine structures. Subsequently, the growing high torodial ($n$) and poloidal ($m$) mode number modes disrupt the magnetic surfaces, leading to the loss of REs outside the $q=1$ surface, while minimally affecting the majority of REs well-confined within it. Thus, in the current model, the physical processes associated with the presence of sawtooth oscillations do not effectively dissipate runaway current, as REs are assumed to be collisionless. In addition, the final profile of runaway current density exhibits increased steepening near the $q=1$ surface in contrast to the initial profile, displaying a distinctive corrugated inhomogeneity influenced by the growing fluctuation of the $n=0$ component. Finally, detailed convergence tests are conducted to validate the numerical simulations.

Sound propagation throughout the orchestra. Measurement, simulation, and modelling

One of the main challenges in predicting the room acoustic conditions on a stage is taking into account the presence of the ensemble and its effect on sound propagation. In a scenario where diffraction effects are dominant and the shape and arrangement of obstacles are not only highly complex but also time-varying, geometric acoustic methods do not yet provide sufficient accuracy for calculating room acoustic parameters or for auralisation. To address this limitation, anechoic measurements from a group of seated subjects were combined with Boundary Element Method simulations at lower frequencies to obtain broadband insertion loss values for a total of 104 paths within a typical orchestra setup. These transfer functions have been converted into a Diffraction-Induced Attenuation by Seated Persons FIR Database, which includes linear phase approximations of the direct sound as well as floor reflections, and reproduces the attenuation that occurs between players in an orchestra. Based on these filters, a parametric model was developed to predict insertion loss within different groups of seated people. This can be used in geometric acoustic simulations and auralisations to account for insertion loss within different groups of seated people, as they occur in many acoustically relevant everyday situations.

Abstract 4137103: Myofibril Mechanics and Transcriptomic Profiling Confirm Distinct Phenotype of TNNI3- Cardiomyopathy Mouse Model

Introduction: Cardiac troponin I (cTnI, TNNI3 gene) is a highly conserved subunit of the sarcomere that inhibits contraction by preventing actin-myosin interaction. Pathogenic TNNI3 variants can cause both hypertrophic and restrictive cardiomyopathies but lack targeted therapies. We identified a family with restrictive cardiomyopathy carrying a cTnI variant at amino acid 157 (A157V). Using CRISPR-Cas9, we generated a knock-in mouse model reflecting this mutation (A158V in mouse). Our previous studies showed that homozygous A158V mice had impaired cardiac relaxation on invasive hemodynamics but normal lifespan, no echocardiographic changes, and no fibrosis. Hypothesis: Myofibril mechanics and transcriptomic studies will better discriminate TNNI3 A158V mice from WT than previous phenotyping studies. Methods: Heart tissue was obtained from wild-type (WT) and homozygous A158V mice at 9-10 months. Myofibrils were isolated from heart tissues and mechanical measurements were completed using the fast solution switching method. RNA was extracted for bulk RNA sequencing. Results: Isolated myofibril studies showed significant prolongation of the linear relaxation phase in A158V mice versus controls (p=0.02) but no significant differences in active tension. Unsupervised clustering of bulk RNA samples separated A158V samples from controls, with 44% transcriptional variation derived from genotype. Cardiac changes in the A158V model were confirmed by significant depletion of pathways involved in structural components of the contractile apparatus, including contractile fiber, sarcomere, and I-Band. On an individual gene level, A158V mutated mice displayed higher expression of cardiac remodeling genes such as Timp1 , Postn , and Tnc . Conclusion: The TNNI3 A158V variant consistently produces impaired relaxation with myofibril studies showing prolonged linear relaxation phase. Transcriptomic studies highlight distinct clustering of TNNI3 A158V mice from WT, with prominent depletion in contractile apparatus pathways. Our findings suggest traditional methods to characterize mouse models may fail to capture disease phenotype in cardiomyopathies; however, myofibril studies and transcriptomic profiling may reveal earlier phenotypic changes.

A Novel RNS Hardware Architecture of FRM Filter Banks for Digital Hearing Aids

This paper presents a novel hardware architecture for Frequency Response Masking (FRM) Filter Bank based on Residue Number System (RNS) arithmetic for Digital Hearing Aids (DHA). FRM is a computationally efficient approach for filter bank design that separates different frequencies based on the Audiograms of a patient. However, filter banks are critical power-hungry elements that require high computational resources. Therefore, the proposed architecture aims to provide an efficient implementation of FRM filter banks, which can improve the value and affordability of DHAs. The proposed architecture employs FIR filters in direct form, linear phase, and poly phase using RNS arithmetic. This approach enables the performance of arithmetic operations in parallel and independently. The concepts are further extended for the efficient implementation of FRM filter bank. The results of the proposed architecture show that direct implementation reduces the delay when the number of taps increases in the FIR filter. However, to reduce computational resources and optimize the area requirement, a Folded RNS architecture is also proposed. The Folded RNS architecture offers hardware savings of 23–27% for a 40-tap FIR filter and 29–31% for a 60-tap FIR filter. Additionally, it improves speed by 13–15% for a 40-tap FIR filter and 16–19% for a 60-tap folded RNS FIR filter. The implementation of FRM filter bank using the folded FIR filter shows the same trend in hardware saving and speed improvement as in the case of FIR filters. These results demonstrate that the proposed hardware architecture has the potential to improve the efficiency and affordability of DHAs while enhancing the listening comfort, which can enhance the quality of life for patients with hearing impairments.

Modelling the temporal trajectories of human milk components

BackgroundThis paper demonstrates how available data can be explored and utilized to conclude generic patterns in the temporal changes in Human Milk (HM) composition.MethodsThe temporal trajectories of selected human milk components (HMC-s) were described, in the first four months postpartum, by a primary model consisting of two phases: a short linear phase in the colostrum, triggered by the parturition; and a longer second phase, where the concentration of the component converges to a steady state. The model was fitted to data available in a recently published database of temporal HMC trajectories both at the levels of individual molecules (such as specific fatty acid, oligosaccharide, and mineral molecules) and molecule-groups (such as total protein, total fat).ResultsThe properties of the trajectories suggest that experimental designs should follow non-equidistant sampling times, with increasingly longer time intervals after the first week postpartum. A selected parameter, the final stationary level, of the primary model was then studied as a function of geographical location (secondary modelling).ConclusionsWe found that the total variation of the concentration of specific HMC-s is dominantly due to the inherent biological differences between individual mothers and to less extent to the geographical location.

Integer multi-wavelength gradient phase metagrating for perfect refraction: Phase choice freedom in supercella).

Phase gradient metagratings (PGMs) reshape the impinging wavefront though the interplay between the linear adjacent phase increment inside supercells and the grating diffraction of supercells. However, the adjacent phase increment is elaborately designed by tuning the resonance of each subcell at a certain target frequency, which inevitably confines PGMs to operate only at the single frequency in turn. We notice that there exists a freedom of phase choice with a multi-2π increment in a supercell of PGMs, whereas conventional designs focus on the 2π increment. This freedom can induce a collaborative mechanism of surface impedance matching and multi-wavelength subcells, enabling the design of PGMs at multi-wavelengths. We further design and fabricate a supercell consisting of eight curved pipes to construct the two-wavelengths PGMs. The linear adjacent phase gradient of 0.25π at the fundamental frequency 3430 Hz is achieved, while the almost perfect transmission effect is observed due to the impedance match at the ends of curved pipes. In addition, the transmission field at the double frequency 6860 Hz is measured, whose refraction direction is consistent with that at 3430 Hz. This design strategy originated from phase choice freedom in the supercell and the experimental fabrication might stimulate applications on other multi-wavelength metasurfaces/metagratings.

A split ring resonator slot based fabricated crescent microstrip patch antennas for UWB wireless system applications

This paper clarifies significant bandwidth and optimum gain for a split ring resonator slot based fabricated microstrip patch antenna for ultra wide band (UWB) wireless telecommunication system applications. The antenna has a circular slot partially cut into a circular patch and radiates in the UWB frequency range. The design system features a steady radiation pattern and an impedance bandwidth of 3.3 to 10.96 GHz. The proposed UWB notch antenna is at 4.6 GHz, 7.29 GHz, and 9.36 GHz, with an impedance bandwidth of 3.3 to 10.96 GHz. The UWB notch antenna offers linear phase response and a group delay of fewer than 1 ns. It is practical for UWB applications due to less group delay and stable radiation patterns. FR4 material with a 4.4 relative permittivity. The reported antenna is measured following the manufacturing of the prototype design using HFSS simulations. The suggested fabricated antenna minimizes return loss. The findings demonstrate that when combined with VSWR 2, the reflection coefficient covers the band ranges from 3.3-10.96 GHz.

WATERFALL MODEL OVER PCD.UCT MODEL REVIEW

Abstract. The software development life cycle (SDLC) has seen the evolution of numerous models, each tailored to meet specific project needs. Among these, the Waterfall Model has been a longstanding, traditional approach, characterized by its linear and sequential phases. In contrast, the PcD.UcT Model, a relatively newer framework, advocates for a more iterative and user-centered approach. This paper presents a comprehensive review of the Waterfall Model, evaluating its strengths and limitations in modern software development. It contrasts these findings with the PcD.UcT Model, analyzing how its principles better align with contemporary project demands, particularly in terms of flexibility, user engagement, and iterative refinement. Through this comparative analysis, the paper aims to provide insights into the applicability and effectiveness of each model, offering guidance for software development teams in choosing the appropriate methodology for their projects. Since the waterfall development methodology, the key requirements in system development strategies have shifted from processes to users. Because the process as well as the customers are both equally important, employing either a predictive or an adaptive methodology is extremely difficult. The primary goal of this work is mainly combining and then evaluating all the relevant methodologies in order to create a HydroGIS that accurately automates the complexities of the hydrology process in a HydroGIS environment while meeting all user requirements.

Kinetic analysis of the self-discharge of the NiOOH OER active phase in KOH electrolyte: insights from in-situ Raman and UV–Vis reflectance spectroscopies

NiOOH has been established as the active phase of NiO-based electrocatalysts in the alkaline Oxygen Evolution Reaction (OER). Here, we investigate the self-discharge behavior of NiOOH electrodes under open circuit potential (OCP) conditions in 1 M KOH electrolyte by monitoring phase changes via in-situ Raman and UV–Vis reflectance spectroscopies and performing kinetic analyses on the OCP and spectroscopic data. Our findings reveal a linear phase change from NiOOH to Ni(OH)2 over time, indicative of a 0th-order reduction reaction. Contrarily, the OCP evolution associated with this phase reduction displayed a combination of linear and exponential decay patterns as a result of various kinetics, including Faradaic processes and diffusion-controlled mechanisms, influencing the self-discharge potential over 1.25 V (vs RHE). An additional linear region at lower potentials (<1.25 V (vs RHE)) suggests that charge redistribution due to the phase change from α-Ni(OH)2 to β-Ni(OH)2 dominates the self-discharge, a behavior confirmed by in-situ UV–Vis reflectance spectroscopy. These findings highlight the effectiveness of combining in-situ Raman and UV–Vis spectroscopy with electrochemical data for real-time monitoring of electrochemical processes, here potential-dependent electrocatalyst phase changes, leading to a more detailed and accurate understanding of the dynamic behavior, phase change kinetics, and self-discharge behaviors of solid electrocatalysts that can guide the design of more efficient and durable energy storage and conversion materials.