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Temperature-dependent photoluminescence on organic inorganic metal halide perovskite CH_3NH_3Pb I_(3-)Cl_ prepared on ZnO/FTO substrates using a two-step method 被引量:4
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作者 Shiwei Zhuang Deqian Xu +6 位作者 Jiaxin Xu Bin Wu Yuantao Zhang Xin Dong Guoxing Li Baolin Zhang Guotong Du 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期482-487,共6页
Temperature-dependent photoluminescence characteristics of organic-inorganic halide perovskite CH3NH3Pb I3-xClx films prepared using a two-step method on ZnO/FTO substrates were investigated. Surface morphology and ab... Temperature-dependent photoluminescence characteristics of organic-inorganic halide perovskite CH3NH3Pb I3-xClx films prepared using a two-step method on ZnO/FTO substrates were investigated. Surface morphology and absorption characteristics of the films were also studied. Scanning electron microscopy revealed large crystals and substrate coverage. The orthorhombic-to-tetragonal phase transition temperature was-140 K. The films' exciton binding energy was 77.6 ± 10.9 meV and the energy of optical phonons was 38.8 ± 2.5 meV. These results suggest that perovskite CH3NH3Pb I(3-x)Clx films have excellent optoelectronic characteristics which further suggests their potential usage in perovskitebased optoelectronic devices. 展开更多
关键词 PEROVSKITE temperature-dependent photoluminescence two-step method ZNO
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Applying the Dynamic Two-Step Method to Forecast Remaining Oil Distribution of Lower Series ,Xiaermen Oilfield 被引量:2
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作者 周红 汤传意 李增辉 《Journal of China University of Geosciences》 SCIE CSCD 2006年第1期65-70,共6页
The distribution of remaining oil is often described qualitatively. The remaining oil distributed in the whole reservoir is calculated according to the characteristics of the space distribution of the saturation of re... The distribution of remaining oil is often described qualitatively. The remaining oil distributed in the whole reservoir is calculated according to the characteristics of the space distribution of the saturation of remaining oil. Logging data are required to accomplish this. However, many such projects cannot be completed. Since the old study of remaining oil distribution could not be quantified efficiently, the "dynamic two-step method" is presented. Firstly, the water cut of every flow unit in one well at one time is calculated according to the comprehensive water cut of a single well at one time. Secondly, the remaining oil saturation of the flow unit of the well at one time is calculated based on the water cut of the flow unit at a given time. The results show that "dynamic two-step method" has characteristics of simplicity and convenience, and is especially suitable for the study of remaining oil distribution at high water-cut stage. The distribution of remaining oil presented banding and potato form, remaining oil was relatively concentrated in faultage neighborhood and imperfect well netting position, and the net thickness of the place was great. This proposal can provide an effective way to forecast remaining oil distribution and enhance oil recovery, especially applied at the high water-cut stage. 展开更多
关键词 dynamic two-step method flow unit quantitative forecast remaining oil
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Preparation of ZnO/GO composite material with highly photocatalytic performance via an improved two-step method 被引量:4
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作者 Ya-Li Chen Chun-E.Zhang +3 位作者 Chao Deng Peng Fei Ming Zhong Bi-Tao Su 《Chinese Chemical Letters》 SCIE CAS CSCD 2013年第6期518-520,共3页
ZnO/graphene oxide(ZnO/GO) composite material,in which ZnO nanoparticles were densely coated on the GO nanosheets,was successfully prepared by an improved two-step method and characterized by IR, XRD,TEM,and UV-vis ... ZnO/graphene oxide(ZnO/GO) composite material,in which ZnO nanoparticles were densely coated on the GO nanosheets,was successfully prepared by an improved two-step method and characterized by IR, XRD,TEM,and UV-vis techniques.The improved photocatalytic property of the ZnO/GO composite material,evaluated by the photocatalytic degradation of methyl orange(MO) under UV irradiation,is ascribed to the intimate contact between ZnO and GO,the enhanced adsorption of MO,the quick electron transfer from excited ZnO particles to GO sheets and the activation of MO molecules viaπ-πinteraction between MO and GO. 展开更多
关键词 ZnO/GO composite material Improved two-step method Characterization Enhanced adsorptive and photocatalytic property
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Influence of two-step cooling method on magnetic properties of Fe_(82)Mo_7B_(10)Cu_1 nanocrystalline alloy 被引量:1
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作者 彭坤 周灵平 +2 位作者 胡爱平 朱家俊 李德意 《中国有色金属学会会刊:英文版》 EI CSCD 2008年第4期852-856,共5页
Soft magnetic properties of Fe82Mo7B10Cu1 nanocrystalline alloy were studied as a function of cooling condition. The results show that higher permeability and relaxation frequency can be obtained by the two-step cooli... Soft magnetic properties of Fe82Mo7B10Cu1 nanocrystalline alloy were studied as a function of cooling condition. The results show that higher permeability and relaxation frequency can be obtained by the two-step cooling method, and the pinning field of the sample obtained by this method is smaller than that of the furnace-cooled and water-quenched samples. This phenomenon was interpreted in terms of internal stress and the magnetic ordering of the residual amorphous phase. The two-step cooling treatment is an effective way to improve the soft magnetic properties of Fe82Mo7B10Cu1 nanocrystalline alloy. 展开更多
关键词 纳米晶合金 两步冷却法 磁性 铁钼硼铜合金
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A class of twostep continuity Runge-Kutta methods for solving singular delay differential equations and its convergence 被引量:1
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作者 Leng Xin Liu Degui +1 位作者 Song Xiaoqiu Chen Lirong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第4期908-916,共9页
An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditio... An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient. 展开更多
关键词 CONVERGENCE singular delay differential equations two-step continuity Runge-Kutta methods.
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The convergence ball and error analysis of the two-step Secant method
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作者 LIN Rong-fei WU Qing-biao +2 位作者 CHEN Min-hong KHAN Yasir LIU Lu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2017年第4期397-406,共10页
Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order,we obtain an estimate of the radius of the convergence ball for the two-step secant method.Moreover,we ... Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order,we obtain an estimate of the radius of the convergence ball for the two-step secant method.Moreover,we also provide an error estimate that matches the convergence order of the two-step secant method.At last,we give an application of the proposed theorem. 展开更多
关键词 two-step secant method estimate of radius convergence ball Lipschitz continuous
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基于Two-step Cluste的出行选择行为研究 被引量:4
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作者 温惠英 任倩 《公路工程》 北大核心 2019年第2期69-72,共4页
为研究广佛城际交通出行者选择公共交通出行的意愿,根据2016年广佛城际交通发展调研数据,基于两步聚类方法,将总出行群体聚为两类,并运用熵权法选取9类指标分别对聚类前后的群体进行满意度评价,结果显示聚类后群体的满意度较低,表明聚... 为研究广佛城际交通出行者选择公共交通出行的意愿,根据2016年广佛城际交通发展调研数据,基于两步聚类方法,将总出行群体聚为两类,并运用熵权法选取9类指标分别对聚类前后的群体进行满意度评价,结果显示聚类后群体的满意度较低,表明聚类后的群体的出行需求更为集中。基于此,分别对聚类前后群体构建是否选择公共交通出行方式选择BNL (binart-nomial logit)模型,预测管理策略的效果,进一步验证将群体进行聚类的必要性,并为城际出行乘客提供更精准的服务。 展开更多
关键词 城际交通 两步聚类 熵权法 BNL模型 出行选择行为
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Explicit solutions to some nonlinear physical models by a two-step ansatz
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作者 胡建兰 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第8期2774-2782,共9页
Explicit solutions are derived for some nonlinear physical model equations by using a delicate way of two-step ansatz method.
关键词 Explicit solution nonlinear physical model two-step ansatz method
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Achieving the high phase purity of CH_3NH_3PbI_3 film by two-step solution processable crystal engineering
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作者 Yan Li Bin Ding +2 位作者 Guan-Jun Yang Chang-Jiu Li Cheng-Xin Li 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2018年第8期1405-1411,共7页
To date, it is still a great challenge for highly efficient perovskite devices to realize the high quality per- ovskite films with high purity, high coverage ratio and good crystallization by two-step scalable solutio... To date, it is still a great challenge for highly efficient perovskite devices to realize the high quality per- ovskite films with high purity, high coverage ratio and good crystallization by two-step scalable solution method. In this study, a series PbI2 films with tunable micro-architecture of Pbl2 crystals are prepared via solution processable crystal engineering. The perovskite film, prepared by optimized pit spacing in gas pumped PbI2 film at 1000 Pa, shows the highest film quality, including no residual Pbl2 phase, compact morphology, and improved photoluminescence intensity. A transformation kinetics shows that the pit spacing strongly influences both the mass transfer and the sequential intercalation reaction between CH3NH31 and PbI2 crystals, which ultimately determines the full reaction state of the perovskite film. The perovskite solar cells assembled by the perovskite film show both high power-conversion efficiency and good reproducibility of photovoltaic performance due to the restrained charge recombination arising from the high quality perovskite film. 展开更多
关键词 High phase purity CHHNH3PbI3 film two-step solution method Perovskite solar cells
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深圳市坪山区医疗设施可达性评估与空间优化
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作者 王宏亮 杨亚璇 +1 位作者 高艺宁 吴健生 《北京大学学报(自然科学版)》 北大核心 2026年第1期162-174,共13页
以深圳市坪山区为例,从供需关系出发,结合手机信令和兴趣点(POI)等数据,采用高斯两步移动搜寻法和p-中位模型,探讨综合医院、社康中心和社区诊所3类医疗设施可达性与空间优化策略,得到如下结果。1)坪山区医疗设施总体上呈现“非均衡型... 以深圳市坪山区为例,从供需关系出发,结合手机信令和兴趣点(POI)等数据,采用高斯两步移动搜寻法和p-中位模型,探讨综合医院、社康中心和社区诊所3类医疗设施可达性与空间优化策略,得到如下结果。1)坪山区医疗设施总体上呈现“非均衡型”空间分布,现状医疗设施主要位于坪山区中部及北部地区,南部分布较少。2)医疗资源可达性与需求分布不匹配。综合医院与社康中心多分布于坪山区中部区域,可达性整体上呈现以坪山街道为中心,向外围圈层递减的分布特征;社区诊所向人口密集区集中,可达性分布不均衡。3)高迫切性需求区域多分布于沙田、田心、碧岭、龙田、江岭和竹坑社区,高迫切性需求区域医疗设施的稀缺程度也更高。4)基于p-中位模型,确定3类医疗设施的优化选址。综合医院、社康中心和社区诊所的优化网格数为30,32和66,迫切性需求下降71.43%,55.17%和97.06%,优化后3类医疗设施分布均衡。 展开更多
关键词 坪山区 医疗设施 空间可达性 空间优化 高斯两步移动搜寻法
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弹力化纤针织布染色后处理一浴二步法探究
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作者 李宽绪 胡德芳 《针织工业》 北大核心 2026年第2期62-65,共4页
水目前仍是弹力化纤针织布必不可少的染色介质,国家对纺织印染企业用水限额在不断提高,清洁生产要求百米标准产品耗水限额小于2 t。文中简单对比了传统工艺与新工艺染色、后处理一浴二步法,发现新工艺一浴二步法流程短,操作简单,既能够... 水目前仍是弹力化纤针织布必不可少的染色介质,国家对纺织印染企业用水限额在不断提高,清洁生产要求百米标准产品耗水限额小于2 t。文中简单对比了传统工艺与新工艺染色、后处理一浴二步法,发现新工艺一浴二步法流程短,操作简单,既能够满足织物色牢度要求,同时也能实现节水减排,具有良好的社会和经济效益。 展开更多
关键词 针织面料 染色 固色 还原清洗 色牢度 一浴二步法
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高稳定性磺酸固化剂制备方法研究
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作者 曹赛 熊高虎 +2 位作者 张亮 李陈洪 刘伊武 《中国铸造装备与技术》 2026年第1期35-38,共4页
针对现有呋喃树脂磺酸固化剂存放稳定性差,存储过程中酸值发生变化给生产管理和客户使用带来不便等问题,提出了两步法分段合成工艺。试验结果表明,两步法制备的磺酸固化剂储存稳定性显著提升,60天内总酸度等关键指标变化幅度控制在2%以... 针对现有呋喃树脂磺酸固化剂存放稳定性差,存储过程中酸值发生变化给生产管理和客户使用带来不便等问题,提出了两步法分段合成工艺。试验结果表明,两步法制备的磺酸固化剂储存稳定性显著提升,60天内总酸度等关键指标变化幅度控制在2%以内;而传统方法制备的产品指标偏离约27%,超出了验收标准。对比分析表明,两步法制备的固化剂工艺性能和24 h抗拉强度优异,完全满足使用需求。 展开更多
关键词 磺酸固化剂 两步法 甲醇 稳定性 硫酸甲酯 抗拉强度
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基于V_(2)O_(5)薄膜的高灵敏和快速响应柔性呼吸传感器研究
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作者 黄子林 陈琴棋 +2 位作者 赖姝岑 傅凯威 郭喜涛 《微纳电子技术》 2026年第3期108-116,共9页
精准的呼吸监测对人体健康评估及呼吸系统疾病早期诊断至关重要,然而开发兼具柔性、高灵敏度和快速响应的可穿戴呼吸传感器仍面临挑战。报道了一种基于五氧化二钒(V_(2)O_(5))薄膜的高灵敏柔性呼吸传感器。通过水热法和热氧化两步法制... 精准的呼吸监测对人体健康评估及呼吸系统疾病早期诊断至关重要,然而开发兼具柔性、高灵敏度和快速响应的可穿戴呼吸传感器仍面临挑战。报道了一种基于五氧化二钒(V_(2)O_(5))薄膜的高灵敏柔性呼吸传感器。通过水热法和热氧化两步法制备了高质量V_(2)O_(5)纳米结构,该结构在室温下对相对湿度(RH)具有高灵敏响应特性。采用滴涂法在柔性聚酰亚胺(PI)基底上沉积V_(2)O_(5)敏感层,并通过磁控溅射沉积金叉指电极,构建柔性呼吸传感器。该传感器在呼气和吸气过程中展现出高电阻变化率(灵敏度1569%)和快速响应/恢复时间(0.32 s/0.31 s)。循环测试表明,该传感器在跟踪不同呼吸模式(深、正常、快呼吸)时具有优异的一致性和可重复性,适用于长期监测。高灵敏度、快响应速度及优异的应力稳健性表明,该V_(2)O_(5)薄膜柔性呼吸传感器在呼吸模式识别及睡眠呼吸暂停综合征监测等方面具有广阔的应用前景。 展开更多
关键词 五氧化二钒(V_(2)O_(5))薄膜 两步法 相对湿度 柔性呼吸传感器
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二步法合成烧结镁铝尖晶石性能分析与工艺探讨
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作者 范连伟 王聪 +1 位作者 齐晓凤 苏鑫 《耐火与石灰》 2026年第1期38-42,共5页
以轻烧氧化镁粉和工业氧化铝粉为原料,采用二步法合成了烧结镁铝尖晶石,将其与回转窑烧结镁铝尖晶石砂的颗粒体积密度、显微结构进行了对比分析;针对二步法超高温竖窑工艺,从产品单耗、烟气环保处理及工艺流程中的关键参数进行了分析和... 以轻烧氧化镁粉和工业氧化铝粉为原料,采用二步法合成了烧结镁铝尖晶石,将其与回转窑烧结镁铝尖晶石砂的颗粒体积密度、显微结构进行了对比分析;针对二步法超高温竖窑工艺,从产品单耗、烟气环保处理及工艺流程中的关键参数进行了分析和探讨。结果表明:1)二步法合成烧结镁铝尖晶石的颗粒体积密度、晶粒尺寸达到了回转窑合成烧结镁铝尖晶石的指标水平。2)二步法超高温竖窑合成烧结镁铝尖晶石工艺中,原料应按照富镁型尖晶石比例进行配料;活性镁铝尖晶石砂的烧制温度以1400℃为宜,合成烧结镁铝尖晶石球坯的煅烧温度宜设置在1650~1750℃之间,同时应采取提高原料纯度、设置窑前筛以及确保连续出料以维持窑内物料运动状态等预防措施,避免结砣棚料、黏窑等问题的出现。3)超高温竖窑具有产品质量高、单位产品能耗低、生产效率高、烟气治理技术成熟可靠等诸多优点,可作为二步法生产高纯烧结富镁镁铝尖晶石砂的理想煅烧设备,极具发展潜力。 展开更多
关键词 二步法 超高温竖窑 烧结镁铝尖晶石砂
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基于动态人口的D2SFCA可达性指数探究城市公园可达性——以北京朝阳区为例
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作者 孙晋忻 徐海超 《华中建筑》 2026年第3期95-99,共5页
城市公园是城市规划中的重要组成部分,在现代城市生活中起着至关重要的作用,它们不仅美化了城市环境,还对居民的身心健康和社会生活产生了深远的影响。步行可达性是城市公园规划布局合理性的重要指标,可采用高斯两步移动法(2SFCA)进行... 城市公园是城市规划中的重要组成部分,在现代城市生活中起着至关重要的作用,它们不仅美化了城市环境,还对居民的身心健康和社会生活产生了深远的影响。步行可达性是城市公园规划布局合理性的重要指标,可采用高斯两步移动法(2SFCA)进行计算。然而,以往使用此方法的研究存在一个问题,即在测量公园服务能力时忽略了动态人群分布对结果的影响。针对此问题,研究采用了一种基于人口热图的动态高斯两步移动法(D2SFCA),研究北京市朝阳区城市公园可达性分布特点以及D2SFCA与传统方法计算结果的差异。研究发现D2SFCA对人口更精准的捕捉使得可达性计算结果比传统方法更具有时效性而且更加精准,尤其是在小范围评估可达性时。D2SFCA为城市公园建设和规划提供了更新更准确的测量方法。 展开更多
关键词 可达性 城市公园 两部移动法 动态人口
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城市公园生态系统文化服务供需匹配特征——以福州市为例
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作者 林玉英 张琳 +1 位作者 余燕华 张发梓 《福建师范大学学报(自然科学版)》 北大核心 2026年第1期109-117,共9页
城市公园为居民提供重要的生态系统文化服务(cultural ecosystem services,CES),然而当前城市公园CES供需错配问题仍较为突出,对居民福祉及城市可持续发展造成一定威胁。以福州市的城市公园为研究对象,将遥感生态指数和基于高斯两步移... 城市公园为居民提供重要的生态系统文化服务(cultural ecosystem services,CES),然而当前城市公园CES供需错配问题仍较为突出,对居民福祉及城市可持续发展造成一定威胁。以福州市的城市公园为研究对象,将遥感生态指数和基于高斯两步移动搜索法的可达性指数纳入评估体系测度公园CES供给量,采用人口密度和居住用地密度评估公园CES需求量,通过空间自相关和耦合协调度模型探讨公园CES供需的空间分布及匹配特征,结果表明:(1)福州市公园CES供给量高值区位于闽侯县的东部和南部,福清市的西部,以及晋安区、马尾区和连江县的交界处,CES需求量高值区主要聚集在城市中心,与人口密度和居住用地密度高值区呈对应关系;(2)高供给-高需求区域集中分布在仓山区,低供给-低需求、低供给-高需求及高供给-低需求区域散布在整个研究区,无明显分布规律;(3)福州市公园CES的供需关系存在明显的空间异质性,且整体供需协调水平较低。建议在CES高供给区结合闽都文化打造特色文旅项目、激活边缘区绿地,以提高绿地资源利用效率;在CES高需求区通过立体绿化、小微绿地等方式增加绿地供给,以解决福州市公园CES供需失调问题。 展开更多
关键词 城市公园 生态系统文化服务 高斯两步移动搜索法 供需匹配
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A Novel Method of Fabricating a Well-Faceted Large-Crystal Diamond Through MPCVD 被引量:3
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作者 满卫东 翁俊 +3 位作者 吴宇琼 陈朋 余学超 汪建华 《Plasma Science and Technology》 SCIE EI CAS CSCD 2009年第6期688-692,共5页
A novel method was developed to deposit a large crystal diamond with good facets up to 1000 μm on a tungsten substrate using a microwave plasma enhanced chemical vapor deposition (MPCVD). This method consists of tw... A novel method was developed to deposit a large crystal diamond with good facets up to 1000 μm on a tungsten substrate using a microwave plasma enhanced chemical vapor deposition (MPCVD). This method consists of two steps, namely single-crystal nucleation and growth. Prior to the fabrication of the well-faceted, large crystal diamond, an investigation was made into the nucleation and growth of the diamond which were affected by the O2 concentration and substrate temperature. Deposited diamond crystals were characterized by scanning electron microscopy and micro-Raman spectroscopy. The results showed that the conditions of single-crystal nucleation were appropriate when the ratio of H2/CH4/O2 was about 200/7.0/2.0, while the sub- strate temperature Ts of 1000℃ to 1050℃ was the appropriate range for single-crystal diamond growth. Under the optimum parameters, a well-faeeted large crystal diamond was obtained. 展开更多
关键词 DIAMOND MPCVD single crystal two-step method well-faceted
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A Remarkable Chord Iterative Method for Roots of Uncertain Multiplicity 被引量:1
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作者 I. Fried 《Applied Mathematics》 2016年第11期1207-1214,共9页
In this note we at first briefly review iterative methods for effectively approaching a root of an unknown multiplicity. We describe a first order, then a second order estimate for the multiplicity index m of the appr... In this note we at first briefly review iterative methods for effectively approaching a root of an unknown multiplicity. We describe a first order, then a second order estimate for the multiplicity index m of the approached root. Next we present a second order, two-step method for iteratively nearing a root of an unknown multiplicity. Subsequently, we introduce a novel chord, or a two- step method, not requiring beforehand knowledge of the multiplicity index m of the sought root, nor requiring higher order derivatives of the equilibrium function, which is quadratically convergent for any , and then reverts to superlinear. 展开更多
关键词 Iterative methods Unknown Root Multiplicity two-step methods
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基于栅元嵌套网格的停堆剂量率方法初步验证及应用
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作者 郑征 夏春梅 +4 位作者 梅其良 解均涵 史涛 高静 王梦琪 《强激光与粒子束》 北大核心 2025年第9期118-124,共7页
停堆剂量率计算分析是核反应堆辐射安全的重要内容。为了分析车载微型移动核电源的停堆剂量率,研究了基于栅元嵌套网格的停堆剂量率计算方法。该方法在严格两步法的计算框架下,对活化光子源的抽样方法进行了改进。通过构建几何简单的包... 停堆剂量率计算分析是核反应堆辐射安全的重要内容。为了分析车载微型移动核电源的停堆剂量率,研究了基于栅元嵌套网格的停堆剂量率计算方法。该方法在严格两步法的计算框架下,对活化光子源的抽样方法进行了改进。通过构建几何简单的包围盒,抽样得到源栅元内的粒子分布,从而提高了抽样效率和精度。在国际热核聚变实验堆(ITER)停堆剂量率基准题中进行了验证,该方法与参考解符合较好。基于该方法开展了兆瓦级车载微型移动核电源Megapower的停堆剂量率分析,计算结果表明热管贯穿端剂量率水平相对较高。该方法可用于反应堆停堆剂量率的计算分析,能够准确评估结构材料活化源及其产生的剂量率,对于反应堆屏蔽设计、维修计划的制定及退役具有重要的参考意义。 展开更多
关键词 停堆剂量率 严格两步法 源粒子抽样 ITER基准题 Megapower
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结构拓扑优化ICM方法的B映射求解途径 被引量:1
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作者 彭细荣 隋允康 +1 位作者 叶红玲 铁军 《固体力学学报》 北大核心 2025年第2期162-176,共15页
本文基于结构拓扑优化的ICM(独立、连续和映射的简称)方法,发展出了双映射接力运作的求解途径,因“双”的英文简称为B,故称之为B-ICM求解途径.该途径由两步组成:第一步是L(线性)映射作用于结构拓扑优化问题,使之成为离散模型,然后构造... 本文基于结构拓扑优化的ICM(独立、连续和映射的简称)方法,发展出了双映射接力运作的求解途径,因“双”的英文简称为B,故称之为B-ICM求解途径.该途径由两步组成:第一步是L(线性)映射作用于结构拓扑优化问题,使之成为离散模型,然后构造了约束函数;第二步是NL(非线性)映射作用于离散模型,使之成为连续模型,同时实现了单元拓扑变量由离散到连续的转换过程.以往ICM方法的求解途径中,上述第一步只是起到理论推导的作用,构造约束函数同其它建模与求解等算法均包含在第二步里,因此属于“一步求解”途径.B-ICM虽然属于“两步求解”途径,但是优化模型寻优仍然沿用ICM方法惯用的序列对偶二次规划算法.本文以位移约束的体积极小化结构拓扑优化问题为例,示例了上述建模及求解过程.单载荷工况和多载荷工况的算例,均印证了本文的研究实现了预期构想,与目前旨在得到清晰拓扑的3种方法(1、考虑Heaviside投影的SIMP方法;2、浮动投影拓扑优化<简称为FPTO>方法;3、非惩罚的光滑边界材料分布拓扑优化<简称为SEMDOT>方法),以及ICM方法以往的求解途径,进行了迭代次数、清晰程度、寻优能力等方面的对比,结果表明B-ICM求解途径表现最好.本文研究不仅丰富了ICM方法建模策略,推动了ICM方法求解途径的完善,也为解决模糊边界问题提供了一种优越的做法.过往的连续体结构拓扑优化求解,因消除棋盘格和网格依赖性问题而采取的过滤操作导致最优拓扑构型产生模糊边界,而且过滤半径越大,则边界越模糊.本文克服了这些令人堪忧的问题,可以成功地得到最优拓扑构型的清晰边界.值得提及的是,本文研究的关键技术,可以移植到包括变密度方法等所有连续变量优化的方法中. 展开更多
关键词 结构拓扑优化 ICM方法 两步求解途径 线性映射 非线性映射 位移约束的体积极小化问题
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