Monte Carlo simulations

蒙特卡罗模拟
  • 文章类型: Journal Article
    研究了溶剂对阳离子染料从溶液中吸附到质子化八面沸石(FAU-Y)上的效率的影响,以支持在废水处理或制备光学器件的结构单元中的潜在应用。实验确定了水和乙醇中单组分溶液中亚甲蓝(MB)和金胺O(AO)的吸附等温线。对每个吸附系统的极限染料吸收(饱和容量)进行评估,按MB-水>AO-水>AO-乙醇>MB-乙醇的顺序降低。吸附的染料种类的相互距离和方向,以及它们与FAU-Y框架的氧位点的相互作用,溶剂分子,并从蒙特卡洛模拟中推断出来,随后用于合理化观察到的饱和容量差异。染料-溶剂竞争和染料形成紧密的pi堆叠二聚体的倾向被证明在整个多孔空间中建立吸附物种的不均匀分布中起着重要作用。在MB-水系统的情况下,这两种效应显得特别强。强调了在建模研究中包括溶剂效应的必要性。
    The impact of solvents on the efficiency of cationic dye adsorption from a solution onto protonated Faujasite-type zeolite (FAU-Y) was investigated in the prospect of supporting potential applications in wastewater treatment or in the preparation of building blocks for optical devices. The adsorption isotherms were experimentally determined for methylene blue (MB) and auramine O (AO) from single-component solutions in water and in ethanol. The limiting dye uptake (saturation capacity) was evaluated for each adsorption system, and it decreased in the order of MB-water > AO-water > AO-ethanol > MB-ethanol. The mutual distances and orientations of the adsorbed dye species, and their interactions with the oxygen sites of the FAU-Y framework, with the solvent molecules, and among themselves were inferred from Monte Carlo simulations and subsequently utilized to rationalize the observed differences in the saturation capacity. The dye-solvent competition and the propensity of the dyes to form compact pi-stacked dimers were shown to play an important role in establishing a non-uniform distribution of the adsorbed species throughout the porous space. The two effects appeared particularly strong in the case of the MB-water system. The necessity of including solvent effects in modeling studies is emphasized.
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  • 文章类型: Journal Article
    移动应用程序为心理数据收集提供了广泛的机会,例如与传统的实验室研究相比,增加了生态有效性和参与者的接受度。然而,基于应用程序的心理数据也带来了数据分析的挑战,因为错误和观察的相互依赖带来了复杂性。因此,研究人员必须权衡基于应用程序的数据收集的利弊,以决定他们提出的应用程序研究的科学效用。例如,一些研究只有在提供足够的统计能力的情况下才有价值。然而,app数据的复杂性阻碍了使用简单的分析公式来估计功率等属性。在本文中,我们演示了如何使用蒙特卡洛模拟来研究应用程序使用行为对基于应用程序的心理数据的效用的影响。我们介绍了一组问题来指导模拟实施,并在猜谜游戏应用程序WhoKnows(Rau等人。,2023年)。最后,我们简要概述了仿真结果以及从它们中得出的用于实际数据生成的结论。我们的结果可以作为如何使用模拟方法来计划基于现实世界的基于应用程序的数据收集的示例。
    Mobile applications offer a wide range of opportunities for psychological data collection, such as increased ecological validity and greater acceptance by participants compared to traditional laboratory studies. However, app-based psychological data also pose data-analytic challenges because of the complexities introduced by missingness and interdependence of observations. Consequently, researchers must weigh the advantages and disadvantages of app-based data collection to decide on the scientific utility of their proposed app study. For instance, some studies might only be worthwhile if they provide adequate statistical power. However, the complexity of app data forestalls the use of simple analytic formulas to estimate properties such as power. In this paper, we demonstrate how Monte Carlo simulations can be used to investigate the impact of app usage behavior on the utility of app-based psychological data. We introduce a set of questions to guide simulation implementation and showcase how we answered them for the simulation in the context of the guessing game app Who Knows (Rau et al., 2023). Finally, we give a brief overview of the simulation results and the conclusions we have drawn from them for real-world data generation. Our results can serve as an example of how to use a simulation approach for planning real-world app-based data collection.
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  • 文章类型: Journal Article
    目的:这项研究的目的是通过胶片剂量测定和蒙特卡罗(MC)模拟研究用于小束放射治疗(MBRT)的准直器的剂量测定特性。还评估了使用神经胶质瘤临床前模型的MBRT相对于常规RT的结果。
    方法:设计了一种多狭缝准直器,可与商用小动物辐射器一起使用。通过以0.4mm的间隔对齐0.6mm宽和5mm厚的平行铅叶来构建准直器。通过Gafchrome(CG)膜和TOPASMonteCarlo(MC)代码评估剂量测定特性。使用神经胶质瘤临床前模型通过皮下注射200万个GL261细胞并用25Gy治疗进行体内实验,单个馏分,MBRT和常规RT。测量生存曲线和急性辐射损伤以比较两种治疗。
    结果:在实验结果和MC模拟之间获得了令人满意的一致性,测得的FWHM和峰之间的距离分别为0.431和1.098mm。体内结果表明,MBRT可以在RT治疗后三周内提供局部肿瘤控制,并且具有相似的开放束放射疗法的存活分数。MBRT组未见严重的急性反应。
    结论:我们开发了一种微型光束准直器,并展示了其剂量学特征。由于制造和设置误差,MC和GC薄膜之间的一致性令人满意,差异与不确定性一致。MBRT和开放场RT的存活曲线相似,而MBRT的毒性明显降低,初步确认预期效果。
    OBJECTIVE: The purpose of this study is to investigate the dosimetric characteristics of a collimator for minibeam radiotherapy (MBRT) with film dosimetry and Monte Carlo (MC) simulations. The outcome of MBRT with respect to conventional RT using a glioma preclinical model was also evaluated.
    METHODS: A multi-slit collimator was designed to be used with commercial small animal irradiator. The collimator was built by aligning 0.6 mm wide and 5 mm thick parallel lead leaves at 0.4 mm intervals. Dosimetry characteristics were evaluated by Gafchromic (CG) films and TOPAS Monte Carlo (MC) code. An in vivo experiment was performed using a glioma preclinical model by injecting two million GL261cells subcutaneously and treating with 25 Gy, single fraction, with MBRT and conventional RT. Survival curves and acute radiation damage were measured to compare both treatments.
    RESULTS: A satisfactory agreement between experimental results and MC simulations were obtained, the measured FWHM and distance between the peaks were respectively 0.431 and 1.098 mm. In vivo results show that MBRT can provide local tumor control for three weeks after RT treatment and a similar survival fraction of open beam radiotherapy. No severe acute effects were seen for the MBRT group.
    CONCLUSIONS: We developed a minibeam collimator and presented its dosimetric features. Satisfactory agreement between MC and GC films was found with differences consistent with uncertainties due to fabrication and set-up errors. The survival curves of MBRT and open field RT are similar while atoxicity is dramatically lower with MBRT, preliminarily confirming the expected effect.
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  • 文章类型: Journal Article
    本研究对印度河上游流域(UIRB)的微量元素浓度进行了全面分析,喜马拉雅山西部(WH)的冰川区,旨在辨别它们的环境和人为来源和影响。尽管先前的数据有限,2019年从UIRB的不同来源收集了69个样本,包括主流,支流,和地下水,评估微量元素浓度。富集因子(EF)结果以及与区域和全球平均值的比较表明,锌含量的上升,Cd,以及可能对饮用水质量构成安全问题。先进的多元统计技术,如主成分分析(PCA),绝对主成分得分(APCS-MLR),蒙特卡罗模拟(MCS),等用于估计相关的人类健康危害,并确定了微量元素的关键来源。MCS结果的第95百分位数表明,儿童的估计总癌症风险显着大于(>1000倍)USEPA的可接受风险阈值1.0×10-6。结果将大多数微量元素分为两个不同的组:A组(Li,Rb,Sr,U,Cs,V,Ni,TI,Sb,Mo,Ge),与地质来源有关,显示中下游河流的浓度较低,包括支流和下游地区。B组(Pb,Nb,Cr,Zn,Be,Al,Th,Ga,Cu,Co),受地质活动和人为活动的影响,在城市中心和中游地区附近表现出更高的浓度,与增加的城市垃圾和农业活动保持一致。此外,APCS-MLR源解析表明,微量元素起源于自然地质过程,包括岩水相互作用和矿物溶解,以及人为活动。这些发现强调需要采取有针对性的措施,以减轻IRB和WH沿线社区的人为影响并保护水资源。
    This study conducted a comprehensive analysis of trace element concentrations in the Upper Indus River Basin (UIRB), a glacier-fed region in the Western Himalayas (WH), aiming to discern their environmental and anthropogenic sources and implications. Despite limited prior data, 69 samples were collected in 2019 from diverse sources within the UIRB, including mainstream, tributaries, and groundwater, to assess trace element concentrations. Enrichment factor (EF) results and comparisons with regional and global averages suggest that rising levels of Zn, Cd, and As may pose safety concerns for drinking water quality. Advanced multivariate statistical techniques such as principal component analysis (PCA), absolute principal component scores (APCS-MLR), Monte Carlo simulation (MCS), etc were applied to estimate the associated human health hazards and also identified key sources of trace elements. The 95th percentile of the MCS results indicates that the estimated total cancer risk for children is significantly greater than (>1000 times) the USEPA\'s acceptable risk threshold of 1.0 × 10-6. The results classified most of the trace elements into two distinct groups: Group A (Li, Rb, Sr, U, Cs, V, Ni, TI, Sb, Mo, Ge), linked to geogenic sources, showed lower concentrations in the lower-middle river reaches, including tributaries and downstream regions. Group B (Pb, Nb, Cr, Zn, Be, Al, Th, Ga, Cu, Co), influenced by both geogenic and anthropogenic activities, exhibited higher concentrations near urban centers and midstream areas, aligning with increased municipal waste and agricultural activities. Furthermore, APCS-MLR source apportionment indicated that trace elements originated from natural geogenic processes, including rock-water interactions and mineral dissolution, as well as anthropogenic activities. These findings underscore the need for targeted measures to mitigate anthropogenic impacts and safeguard water resources for communities along the IRB and WH.
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  • 文章类型: Journal Article
    已使用键波动模型对A/B聚合物共混物的相容性进行了蒙特卡罗研究。所考虑的增容剂是由A和B嵌段组成的共聚物分子。已包括不同类型的共聚物结构,即,线性二嵌段和4-嵌段交替共聚物,星形嵌段共聚物,miktoarm明星,和拉链星星。拉链星由从中央单元以交替顺序(AB和BA)排列的二嵌段共聚物的两个臂组成,以及A和B单元的两个同质臂。通过分析排斥能的平衡来表征增容性能,A和B折射率相反时获得的模拟散射强度,沿坐标轴的轮廓,径向分布函数,和增容剂聚集号。根据结果,线性交替嵌段共聚物,星形嵌段共聚物,和拉链星表现出明显更好的兼容性,拉链星星显示轻微但一贯更好的性能。
    A Monte Carlo study of the compatibilization of A/B polymer blends has been performed using the bond fluctuation model. The considered compatibilizers are copolymer molecules composed of A and B blocks. Different types of copolymer structures have been included, namely, linear diblock and 4-block alternating copolymers, star block copolymers, miktoarm stars, and zipper stars. Zipper stars are composed of two arms of diblock copolymers arranged in alternate order (AB and BA) from the central unit, along with two homogeneous arms of A and B units. The compatibilization performance has been characterized by analyzing the equilibration of repulsion energy, the simulated scattering intensity obtained with opposite refractive indices for A and B, the profiles along a coordinate axis, the radial distribution functions, and the compatibilizer aggregation numbers. According to the results, linear alternate block copolymers, star block copolymers, and zipper stars exhibit significantly better compatibilization, with zipper stars showing slightly but consistently better performance.
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  • 文章类型: Journal Article
    背景:基于剂量学的个性化治疗显示具有临床益处,例如在肝脏选择性内部放射治疗(SIRT)中。然而,关于将其引入临床实践尚无共识,主要因为蒙特卡罗模拟(剂量测定的黄金标准)涉及大量的计算时间。我们解决了计算时间的问题,并测试了一种基于补丁的方法,用于内部剂量测定的蒙特卡罗模拟,以改善并行化。我们为基于补丁的MC剂量测定引入了物理启发的裁剪布局,并将其与文献的裁剪布局以及使用器官S值的剂量测定进行比较,和剂量内核,以全身蒙特卡洛模拟为基础。在接受钇-90肝脏SIRT的五名患者中进行了评估。
    结果:基于补丁的蒙特卡罗方法产生了最接近实际情况的结果,使其成为传统方法的有效替代方案。与软组织中的全身蒙特卡罗相比,我们的物理学启发的裁剪布局和镶嵌方案产生了<2%的体素误差,而只需要约10%的时间。
    结论:这项工作证明了基于补丁的蒙特卡罗模拟的物理启发裁剪布局的可行性和准确性。
    BACKGROUND: Dosimetry-based personalized therapy was shown to have clinical benefits e.g. in liver selective internal radiation therapy (SIRT). Yet, there is no consensus about its introduction into clinical practice, mainly as Monte Carlo simulations (gold standard for dosimetry) involve massive computation time. We addressed the problem of computation time and tested a patch-based approach for Monte Carlo simulations for internal dosimetry to improve parallelization. We introduce a physics-inspired cropping layout for patch-based MC dosimetry, and compare it to cropping layouts of the literature as well as dosimetry using organ-S-values, and dose kernels, taking whole-body Monte Carlo simulations as ground truth. This was evaluated in five patients receiving Yttrium-90 liver SIRT.
    RESULTS: The patch-based Monte Carlo approach yielded the closest results to the ground truth, making it a valid alternative to the conventional approach. Our physics-inspired cropping layout and mosaicking scheme yielded a voxel-wise error of < 2% compared to whole-body Monte Carlo in soft tissue, while requiring only ≈  10% of the time.
    CONCLUSIONS: This work demonstrates the feasibility and accuracy of physics-inspired cropping layouts for patch-based Monte Carlo simulations.
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  • 文章类型: Journal Article
    他克莫司(TAC)在移植早期具有较高的药代动力学(PK)变异性。全血和细胞内TAC浓度与临床结果之间的关系仍然存在争议。这项研究确定了影响TACPK变异性的因素,并表征了全血和细胞内TAC浓度之间的关系。使用非线性混合效应模型分析了来自两个中心的215个肾移植受者(术后<90天)的1,787个样本的全血TAC浓度数据以及从先前研究数字化的细胞内TAC浓度(648个样本)。筛选潜在协变量的影响,并估计了全血与细胞内TAC浓度比(RWB:IC)的分布。最终的模型使用引导进行了评估,善良的适合,和预测校正的视觉预测检查。使用蒙特卡罗模拟确定每种类型的免疫细胞亚群的最佳给药方案和目标范围。两室模型充分描述了数据,估计平均TACCL/F为23.6L·h-1(相对标准误差:11.5%)。血细胞比容水平,CYP3A5*3载波状态,与五脂胶囊合用,逐渐减少的泼尼松龙剂量可能会导致移植后早期TACPK变异性的高度变异性。外周血单核细胞(PBMC)中所有TAC浓度的估计RWB:IC为4940,并且观察到PBMC的中心间变异性。PBMC中模拟的TAC目标范围为20.2-85.9pg·百万细胞-1。在进一步分析中应考虑细胞内浓度的中心间变异性。可以基于PK/PD变异性和模拟的细胞内浓度来指导TAC剂量调整。
    Tacrolimus (TAC) has high pharmacokinetic (PK) variability during the early transplantation period. The relationships between whole-blood and intracellular TAC concentrations and clinical outcomes remain controversial. This study identifies the factors affecting the PK variability of TAC and characterizes the relationships between whole-blood and intracellular TAC concentrations. Data regarding whole-blood TAC concentrations of 1,787 samples from 215 renal transplant recipients (<90 days postoperative) across two centers and intracellular TAC concentrations (648 samples) digitized from previous studies were analyzed using nonlinear mixed-effects modeling. The effects of potential covariates were screened, and the distribution of whole-blood to intracellular TAC concentration ratios (RWB:IC) was estimated. The final model was evaluated using bootstrap, goodness of fit, and prediction-corrected visual predictive checks. The optimal dosing regimens and target ranges for each type of immune cell subsets were determined using Monte Carlo simulations. A two-compartment model adequately described the data, and the estimated mean TAC CL/F was 23.6 L·h-1 (relative standard error: 11.5 %). The hematocrit level, CYP3A5*3 carrier status, co-administration with Wuzhi capsules, and tapering prednisolone dose may contribute to the high variability of TAC PK variability during the early post-transplant period. The estimated RWB:IC of all TAC concentrations in peripheral blood mononuclear cells (PBMCs) was 4940, and inter-center variability of PBMCs was observed. The simulated TAC target range in PBMCs was 20.2-85.9 pg·million cells-1. Inter-center variability in intracellular concentrations should be taken into account in further analyses. TAC dosage adjustments can be guided based on PK/PD variability and simulated intracellular concentrations.
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  • 文章类型: Journal Article
    吸附在金属有机骨架中的纳米约束流体的相行为对于设计用于能源和气体储存的先进材料至关重要。分居,电化学装置,传感器,和药物输送,以及孔结构的表征。吸附流体中的相变通常涉及持久的亚稳态和滞后现象,这在气体吸附-解吸和非润湿流体侵入-挤出实验中已得到充分证明。然而,观察到的纳米相行为的理论预测仍然是一个具有挑战性的问题。中观规范,或者中肠,集合(MCE)旨在研究受控波动条件下的纳米相行为,以稳定亚稳态和不稳定状态。这里,我们实施并应用MCE蒙特卡罗(MCEMC)模拟方案来预测一系列实际MOF材料中可逆和滞后吸附相变的起源,包括IRMOF-1、ZIF-412、UiO-66、Cu-BTC、IRMOF-74-V,VII,和IX。MCEMC方法,称为规范单元格方法,允许产生范德华型等温线,在相变区域周围具有独特的摆动。构造的等温线确定了相平衡和旋节线的位置,以及分离亚稳态的成核势垒。与传统的大规范和规范集成模拟相比,我们展示了MCEMC方法在实验观察的定量预测中的独特功能。MCEMC方法在开源RASPA和LAMMPS软件包中实施,并推荐用于MOFs和其他纳米多孔材料的吸附行为和孔结构表征的研究。
    Phase behavior of nanoconfined fluids adsorbed in metal-organic frameworks is of paramount importance for the design of advanced materials for energy and gas storage, separations, electrochemical devices, sensors, and drug delivery, as well as for the pore structure characterization. Phase transformations in adsorbed fluids often involve long-lasting metastable states and hysteresis that has been well-documented in gas adsorption-desorption and nonwetting fluid intrusion-extrusion experiments. However, theoretical prediction of the observed nanophase behavior remains a challenging problem. The mesoscopic canonical, or mesocanonical, ensemble (MCE) is devised to study the nanophase behavior under conditions of controlled fluctuations to stabilize metastable and labile states. Here, we implement and apply the MCE Monte Carlo (MCEMC) simulation scheme to predict the origins of reversible and hysteric adsorption phase transitions in a series of practical MOF materials, including IRMOF-1, ZIF-412, UiO-66, Cu-BTC, IRMOF-74-V, VII, and IX. The MCEMC method, called the gauge cell method, allows to produce Van der Waals type isotherms with distinctive swings around the phase transition regions. The constructed isotherms determine the positions of phase equilibrium and spinodals, as well as the nucleation barriers separating metastable states. We demonstrate the unique capabilities of the MCEMC method in quantitative predictions of experimental observations compared with the conventional grand canonical and canonical ensemble simulations. The MCEMC method is implemented in the open-source RASPA and LAMMPS software packages and recommended for studies of adsorption behavior and pore structure characterization of MOFs and other nanoporous materials.
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  • 文章类型: Journal Article
    目的:本研究旨在评估放射性药物治疗计划中肿瘤和危险器官患者特定吸收剂量计算的准确性,利用混合平面-SPECT/CT成像。
    方法:创建了三个蒙特卡洛(MC)模拟数字患者体模,将mIBG的时间活动数据标记为I-123(LEHR和ME准直器)和I-131(HE准直器)。该研究评估了I-131-mIBG治疗计划的平均吸收剂量的准确性。模拟了多个平面全身(WB)图像(注射后1至72小时之间(p。i)).计算前后WB图像的几何平均图像,应用散射和衰减校正。在WB图像中针对肝脏上的感兴趣区域和两个肿瘤(直径:3.0cm和5.0cm)创建时间-活性曲线。在24hp.i时模拟了相应的SPECT研究,并使用OS-EM算法进行了重建,结合散射,衰减,准直器-探测器响应,间隔散射和穿透校正。基于MC体素的吸收剂量率计算使用两个图像集,(i)由SPECT图像表示的活动分布和(ii)来自在感兴趣体积内均匀分布的SPECT图像的活动分布。考虑光子和带电粒子发射,计算平均吸收剂量,只有β排放。通过基于MC体素的已知活性分布的剂量测定法计算真实吸收剂量,以供参考。
    结果:考虑到光子和带电粒子的发射,所有三个放射性核素准直仪组合的平均吸收剂量精度为3.8±5.5%和0.1±0.9%(肝脏),对于图像集(i)和(ii),分别获得5.2±10.0%和4.3±1.7%(3.0cm肿瘤)和15.0±5.8%和2.6±0.6%(5.0cm肿瘤)。考虑到带电粒子的排放,准确率为2.7±4.1%和5.7±0.7%(肝脏),对于图像集(i)和(ii),分别获得3.2±10.2%和9.1±1.7%(3.0cm肿瘤)和13.6±5.7%和7.0±0.6%(5.0cm肿瘤)。
    结论:混合WB平面-SPECT/CT方法被证明对I-131-mIBG剂量测定是准确的,表明其个性化治疗计划的潜力。
    OBJECTIVE: This study aimed to assess the accuracy of patient-specific absorbed dose calculations for tumours and organs at risk in radiopharmaceutical therapy planning, utilizing hybrid planar-SPECT/CT imaging.
    METHODS: Three Monte Carlo (MC) simulated digital patient phantoms were created, with time-activity data for mIBG labelled to I-123 (LEHR and ME collimators) and I-131 (HE collimator). The study assessed the accuracy of the mean absorbed doses for I-131-mIBG therapy treatment planning. Multiple planar whole-body (WB) images were simulated (between 1 to 72 h post-injection (p.i)). The geometric-mean image of the anterior and posterior WB images was calculated, with scatter and attenuation corrections applied. Time-activity curves were created for regions of interest over the liver and two tumours (diameters: 3.0 cm and 5.0 cm) in the WB images. A corresponding SPECT study was simulated at 24 h p.i and reconstructed using the OS-EM algorithm, incorporating scatter, attenuation, collimator-detector response, septal scatter and penetration corrections. MC voxel-based absorbed dose rate calculations used two image sets, (i) the activity distribution represented by the SPECT images and (ii) the activity distribution from the SPECT images distributed uniformly within the volume of interest. Mean absorbed doses were calculated considering photon and charged particle emissions, and beta emissions only. True absorbed doses were calculated by MC voxel-based dosimetry of the known activity distributions for reference.
    RESULTS: Considering photon and charged particle emissions, mean absorbed dose accuracies across all three radionuclide-collimator combinations of 3.8 ± 5.5% and 0.1 ± 0.9% (liver), 5.2 ± 10.0% and 4.3 ± 1.7% (3.0 cm tumour) and 15.0 ± 5.8% and 2.6 ± 0.6% (5.0 cm tumour) were obtained for image set (i) and (ii) respectively. Considering charged particle emissions, accuracies of 2.7 ± 4.1% and 5.7 ± 0.7% (liver), 3.2 ± 10.2% and 9.1 ± 1.7% (3.0 cm tumour) and 13.6 ± 5.7% and 7.0 ± 0.6% (5.0 cm tumour) were obtained for image set (i) and (ii) respectively.
    CONCLUSIONS: The hybrid WB planar-SPECT/CT method proved accurate for I-131-mIBG dosimetry, suggesting its potential for personalized treatment planning.
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  • 文章类型: Journal Article
    有机分子中的单态到三态系统间交叉(ISC)与它们的几何形状密切相关:通过修改分子形状,关于自旋-轨道耦合的对称性选择规则可以部分缓解,导致额外的矩阵元素增加ISC。作为这个分子设计概念的模拟,研究发现,超分子聚合物的晶格对称性也决定了它们的三重态形成效率。考虑由弱相互作用分子自组装的超分子聚合物。其2D倾斜晶胞有效地使其成为彼此弱结合的1D分子柱的共面阵列。使用动量分辨光致发光成像与蒙特卡罗模拟相结合,研究发现,超分子聚合物中的光生电荷载流子主要通过柱间电荷转移状态重组为自旋不相关的载流子对。这种晶格定义的重组途径在超分子聚合物中导致相当大的三重态形成效率(≈60%)。这些发现表明,依赖于分子间相互作用的微观/宏观结构的晶格对称性可以被策略化,以控制三重态的形成。
    Singlet-to-triplet intersystem crossing (ISC) in organic molecules is intimately connected with their geometries: by modifying the molecular shape, symmetry selection rules pertaining to spin-orbit coupling can be partially relieved, leading to extra matrix elements for increased ISC. As an analog to this molecular design concept, the study finds that the lattice symmetry of supramolecular polymers also defines their triplet formation efficiencies. A supramolecular polymer self-assembled from weakly interacting molecules is considered. Its 2D oblique unit cell effectively renders it as a coplanar array of 1D molecular columns weakly bound to each other. Using momentum-resolved photoluminescence imaging in combination with Monte Carlo simulations, the study found that photogenerated charge carriers in the supramolecular polymer predominantly recombine as spin-uncorrelated carrier pairs through inter-column charge transfer states. This lattice-defined recombination pathway leads to a substantial triplet formation efficiency (≈60%) in the supramolecular polymer. These findings suggest that lattice symmetry of micro-/macroscopic structures relying on intermolecular interactions can be strategized for controlled triplet formation.
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