Acta Metall Sin  1998, Vol. 34 Issue (8): 819-823    DOI:

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CLASSICAL SIZE EFFECTS ON DIELECTRIC FUNCTION OF METAL CYLINDER WITH INFINITE LENGTH

ZHAO Weiren; LIU Degi; HUANG Rongfang; WEN Lishi(Metal Research Institute; The Chinese Academy of Sciences; Shenyang 110015)Correspondent: WEN Lishi; professor Tel: (024)23843531-55250 Fax: (024)23891320

ZHAO Weiren; LIU Degi; HUANG Rongfang; WEN Lishi(Metal Research Institute; The Chinese Academy of Sciences; Shenyang 110015)Correspondent: WEN Lishi; professor Tel: (024)23843531-55250 Fax: (024)23891320. CLASSICAL SIZE EFFECTS ON DIELECTRIC FUNCTION OF METAL CYLINDER WITH INFINITE LENGTH. Acta Metall Sin, 1998, 34(8): 819-823.

Abstract References Related Articles Recommended Metrics Download:  PDF(411KB)  Export:  BibTeX | EndNote (RIS)       Abstract  Dielectric function (DF) of metal cylinder with infinite length has been calculated using nonequilibrium statistical mechanics. The results show that the intrinsic DF of metal will be changed if the cylinder's surface is inelastic for electron scattering. As the radius of the cylinder decreases to the range of the electron mean free path (MFP), DF deviates from the bulk value and depends on the position in the cylinder gradually. The relation between DF and the position is complicated except when the radius is much smaller than MFP. Size effects may increase both real part ε' and imaginary part ε'' of DF and raise effectively the absolute ratio value of ε" to ε'.The radial distribution of oscillatory form of DF is discovered in the range of high frequence due to size effects. Key words:  dielectric function      size effect      Boltzmann equation      Received:  18 August 1998      Service E-mail this article Add to citation manager E-mail Alert RSS （） Articles by authors URL:  https://www.ams.org.cn/EN/     OR     https://www.ams.org.cn/EN/Y1998/V34/I8/819 1 Kreibig U, Fragstein C V. Z Phys, 1969; 224: 307 2 Kawabata A, Kubo R. J Phys Soc Jpn, 1966; 21: 1765 3 Nguyen H V, An I, Collins R W. In: Wancombe M H, Vossen J L eds., Physies of Thin Films. Vol.19,San-Diego: Academic Press, 1994: 127 4 Khlebtsov N G, Bogatyrev V A. Opt Spectrosc, 1996; 80: 113 5 Abeles F. In: Abeles F ed., Opt Props Solid Amsterdam: North-Holland Publishing Company 1972: 101 6 Sanborn B A. Phys Rev, 1995; B51: 14247 7 Mie G. Ann Phys, 1908; 25: 377 8 Sondheimer E H. Adv Phys, 1952; 1: 1 9 Smith D Y, Segall B. Phys Rev, 1986; B34: 5191 [1] ZHAO Yafeng, LIU Sujie, CHEN Yun, MA Hui, MA Guangcai, GUO Yi. Critical Inclusion Size and Void Growth in Dual-Phase Ferrite-Bainite Steel During Ductile Fracture[J]. 金属学报, 2023, 59(5): 611-622. [2] YU Shaoxia, WANG Qi, DENG Xiangtao, WANG Zhaodong. Preparation and Size Effect of GH3600 Nickel-Based Superalloy Ultra-Thin Strips[J]. 金属学报, 2023, 59(10): 1365-1375. [3] CAO Qingping, LV Linbo, WANG Xiaodong, JIANG Jianzhong. Magnetron Sputtering Metal Glass Film Preparation and the “Specimen Size Effect” of the Mechanical Property[J]. 金属学报, 2021, 57(4): 473-490. [4] QU Ruitao, WANG Xiaodi, WU Shaojie, ZHANG Zhefeng. Research Progress in Shear Banding Deformation and Fracture Mechanisms of Metallic Glasses[J]. 金属学报, 2021, 57(4): 453-472. [5] Guangping ZHANG, Honglei CHEN, Xuemei LUO, Bin ZHANG. Progress in Thermal Fatigue of Micro/Nano-ScaleMetal Conductors[J]. 金属学报, 2018, 54(3): 357-366. [6] Yefei MA, Zhuman SONG, Siqian ZHANG, Lijia CHEN, Guangping ZHANG. Evaluation of Fatigue Properties of CA6NM Martensite Stainless Steel Using Miniature Specimens[J]. 金属学报, 2018, 54(10): 1359-1367. [7] Rui YANG,Yan PAN,Wei CHEN,Qiaoyan SUN,Lin XIAO,Jun SUN. DEFORMATION BEHAVIOR AND THE MECHANISM OF MICRO-SCALE Ti-10V-2Fe-3Al PILLARSIN COMPRESSION[J]. 金属学报, 2016, 52(2): 135-142. [8] Jun SUN, Jinyu ZHANG, Kai WU, Gang LIU. SIZE EFFECTS ON THE DEFORMATION AND DAMAGEOF Cu-BASED METALLIC NANOLAYEREDMICRO-PILLARS[J]. 金属学报, 2016, 52(10): 1249-1258. [9] HUANG Xiaoxu. SIZE EFFECTS ON THE STRENGTH OF METALS[J]. 金属学报, 2014, 50(2): 137-140. [10] ZHANG Jinyu, LIU Gang, SUN Jun. SIZE EFFECTS ON DEFORMATION AND FRACTURE BEHAVIOR OF NANOSTRUCTURED METALLIC MULTILAYERS[J]. 金属学报, 2014, 50(2): 169-182. [11] DENG Liping, YANG Xiaofang, HAN Ke, SUN Zeyuan, LIU Qing. STUDY ON THE MICROSTRUCTURE EVOLUTION OF Cu-Nb COMPOSITE WIRES DURING DEFORMATION AND ANNEALING[J]. 金属学报, 2014, 50(2): 231-237. [12] ZHANG Jinyu ZHANG Xin NIU Jiajia LIU Gang ZHANG Guojun SUN Jun. LENGTH SCALE DEPENDENT MECHANICAL/ELECTRICAL PROPERTIES OF Cu/X (X=Cr, Nb) NANOSTRUCTURED METALLIC MULTILAYERS[J]. 金属学报, 2011, 47(10): 1348-1354. [13] YIN Limeng YANG Yan LIU Liangqi ZHANG Xinping. SIZE EFFECT OF MECHANICAL BEHAVIOR OF MINIATURE SOLDER JOINT INTERCONNECTIONS IN ELECTRONIC PACKAGING[J]. 金属学报, 2009, 45(4): 422-427. [14] terry liau; Hao Du; Li-shi WEN. The influence of size effect of conductivity on the microwave absorption properties of thin Al films[J]. 金属学报, 2008, 44(9): 1099-1104 . [15] Mingxia Liu; Yongfeng Hu; FEI MA; Kewei XU. COHERENT GROWTH OF α-W FILM ON Si WAFER AND ITS THICKNESS DEPENDENT MECHANICAL AND ELECTRICAL PROPERTIES[J]. 金属学报, 2008, 44(5): 631-635 . No Suggested Reading articles found! Viewed Full text Abstract Cited   Shared      Discussed