Transmission of low energy electrons through a polyethylene terephthalate 800-nm diameter nanocapillary

LI Pengfei; LIU Wanqi; HA Shuai; PAN Yuzhou; FAN Xuhong; DU Zhanhui; WAN Chengliang; CUI Ying; YAO Ke; MA Yue; YANG Zhihu; SHAO Caojie; Reinhold Schuch; LU Di; SONG Yushou; ZHANG Hongqiang; CHEN Ximeng

doi:10.7498/aps.74.20241196

Abstract

The transmission of 2-keV electrons through a polyethylene terephthalate (PET) nanocapillary with a diameter of 800 nm and a length of 10 μm is studied. The transmitted electrons are detected using microchannel plate (MCP) with a phosphor screen. It is found that the transmission rate for the transmitted electrons with the incident energy can reach up to 10 % for an aligned capillary in the beam direction, but drops to less than 1% when the tilt angle exceeds the geometrical allowable angle. The transmitted electrons with the incident energy do not move with change of tilt angle, so the incident electrons are not guided in the insulating capillary, which is different from the scenario of positive ions. In the final stage of the transmission, the angular distribution of the transmitted electrons within the geometrical allowable angle splits into two peaks along the observation angle perpendicular to the tilt angle. The time evolution of the transmitted full angular distribution shows that when the beam turns on, the transmission profile forms a single peak. As the incident charge and time accumulate, the transmission profile starts to stretch in the plane perpendicular to the tilt angle and gradually splits into two peaks. When the tilt angle of the nanocapillary exceeds the geometrical allowable angle, this splitting tends to disappear. Simulation of the charge deposition in the capillary directly exposed to the beam indicates the formation of positive charge patches, which are not conducive to guidance, as seen in the case of positive ions. According to the simulation results, we can explain our data. Then, the possible reasons for the splitting the transmission angular profiles are discussed.

Keywords:

Authors and contacts

1.
College of Nuclear Science and Technology, Harbin Engineering University, Harbin 150000, China
2.
School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
3.
Institute of Modern Physics, Fudan University, Shanghai 200433, China
4.
Key Laboratory of Nuclear Physics and Ion-Beam Application (MOE), Fudan University, Shanghai 200433, China
5.
RIKEN Nishina Center, RIKEN, Wako 351-0198, Japan
6.
Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
7.
Physics Department, Stockholm University, Stockholm S-10691, Sweden
8.
Department of Physics, University of Gothenburg , Gothenburg S-40530, Sweden

Corresponding author: CUI Ying, cuiying@lzu.edu.cn ; ZHANG Hongqiang, zhanghq@lzu.edu.cn ;

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. U1732269, 12375262), the Fundamental Research Funds for the Central Universities of Ministry of Education, China (Grant Nos. lzujbky-2021-sp41, 3072023CFJ1506), the Swedish Foundation for International Cooperation in Research and Higher Education (Grant No. IB2018-8071), and the Key Projects of the State Administration for Foreign Experts.

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Cited By

图 1 实验装置示意图, 定义微孔轴向与电子束之间的倾角ψ, 以及电子束的观测角度ϕ和θ

Figure 1. A schematic drawing of the experimental setup, the tilt angle ψ between the axes of capillaries and the electron beam, the observation angles ϕ and θ given with respect to the electron beam are defined.

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图 2 2 keV电子的二维穿透电子分布图像和对应的ϕ和θ平面上的投影

Figure 2. A primary beam profile of 2 keV electrons and the corresponding projections on the planes of ϕ and θ.

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图 3 不同倾角下2 keV电子在静止状态下通过PET纳米微孔的二维穿透角分布　(a)二维穿透角分布; (b) θ平面上的穿透角分布投影

Figure 3. Two-dimensional penetration angle distribution of 2 keV electrons through PET nanopores in a stationary state at different inclination angles: (a) Two-dimensional penetration angle distribution; (b) θ plane penetration angle distribution projection.

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图 4 稳态下2 keV电子的电子穿透率与倾角ψ的关系, 红色虚线表示几何穿透角

Figure 4. The transmission rate of 2 keV electrons in stationary state as a function of ψ, the red dash lines stand for the geometrical transmission angle.

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图 5 充电过程中2 keV电子在0°倾角下通过 PET 纳米微孔的穿透全角分布随时间的演变　(a)电子穿透率的演变; (b)二维穿透角分布图像及投影图

Figure 5. The time evolution of transmitted angular distributions of 2 keV electrons at the tilt angle of 0° through PET nanocapillaries during the charging process: (a) The evolution of electron transmission rates; (b) projections of the transmitted angular distributions.

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图 6 在0°入射时, 随着充电时间的累积, θ平面上的上峰(a)和下峰(b)位置的演变

Figure 6. At 0° incidence, as the charge time accumulates, the evolution of upper (a) and lower (b) peak positions on plane, respectively.

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图 7 CASINO使用的PET样品的三维模型

Figure 7. The 3-dimensional model of PET sample used in CASINO.

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图 8 2 keV电子在4°入射角下造成PET材料表面电荷沉积的计算结果　(a)入射电子沉积强度的二维分布图及其(b)在深度上的强度分布投影图; (c)表面空穴强度的二维分布图及其(d)在深度上的强度分布投影图

Figure 8. Calculated results of charge deposition on the surface of PET material caused by 2 keV electrons at an incidence angle of 4°: (a) The two-dimensional distribution of the intensity of the incident electron deposition and (b) its intensity distribution projection at depth; (c) the two-dimensional distribution of the surface hole intensity, and (d) its intensity distribution projection at depth.

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图 9 倾角为0°时, 穿透电子分布示意图

Figure 9. Schematic diagram of the distribution of transmitted electrons at 0° tilt angle.

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