Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators
The formulas for temperature dependence of λ(χreal, Eg, T), λ(χreal, Eg, T)p, ẟ and σ of insulators with less impurities were deduced and proved to be true; λ(χreal, Eg, T) is the mean escape depth of secondary electrons emitted from insulators with efficient electron affinity χreal and band gap Eg...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-09-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972030512X |
| _version_ | 1818130845281550336 |
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| author | Ai-Gen Xie Zheng Pan Ya-Yi Chen |
| author_facet | Ai-Gen Xie Zheng Pan Ya-Yi Chen |
| author_sort | Ai-Gen Xie |
| collection | DOAJ |
| description | The formulas for temperature dependence of λ(χreal, Eg, T), λ(χreal, Eg, T)p, ẟ and σ of insulators with less impurities were deduced and proved to be true; λ(χreal, Eg, T) is the mean escape depth of secondary electrons emitted from insulators with efficient electron affinity χreal and band gap Eg at Kelvin temperature T, λ(χreal, Eg, T)p is the λ(χreal, Eg, T) due to electron-lattice scatterring in insulators, ẟ is secondary electron yield, σ is total ẟ. Analyses of data and the deduced formulas indicate that the temperature dependence of ẟ and σ of insulators with less impurities increase with the increasing [λ(χreal, Eg, T)/λ(χreal, Eg, T)p], and that λ(χreal, Eg, T), λ(χreal, Eg, T)p, ẟ and σ of insulators with less impurities decrease nearly linearly with increasing T in the range T > ΘD but decrease nonlinearly with increasing T in the range mΘD < T < ΘD, ΘD is Debye temperature, m of a given insulator is a constant which is < 0.4. The method of obtaining λ(χreal, Eg, T)Mee and corresponding χreal by secondary electron emission (SEE) was presented, λ(χreal, Eg, T)Mee is the λ(χreal, Eg, T) due to electron–electron scatterring in insulator. It concludes that the method presented here to obtain special formula for λ(χreal, Eg, T)p and corresponding χreal is a good method to research electron-lattice interaction by SEE, and that the method presented here to obtain values of λ(χreal, Eg)Mee and corresponding χreal is a good method to research electron–electron interaction by SEE. According to the values of ΘD, experimental σ, characteristics of temperature dependence of ẟ and σ and deduced formulas, it concludes that the method presented here to determine ΘD by SEE is a better method to determine ΘD of insulator with less impurities. |
| first_indexed | 2024-12-11T08:11:30Z |
| format | Article |
| id | doaj.art-e46e469f6ca643f4a6ab4f6b9efd70ea |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-11T08:11:30Z |
| publishDate | 2020-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-e46e469f6ca643f4a6ab4f6b9efd70ea2022-12-22T01:14:52ZengElsevierResults in Physics2211-37972020-09-0118103120Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulatorsAi-Gen Xie0Zheng Pan1Ya-Yi Chen2Corresponding author.; School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaThe formulas for temperature dependence of λ(χreal, Eg, T), λ(χreal, Eg, T)p, ẟ and σ of insulators with less impurities were deduced and proved to be true; λ(χreal, Eg, T) is the mean escape depth of secondary electrons emitted from insulators with efficient electron affinity χreal and band gap Eg at Kelvin temperature T, λ(χreal, Eg, T)p is the λ(χreal, Eg, T) due to electron-lattice scatterring in insulators, ẟ is secondary electron yield, σ is total ẟ. Analyses of data and the deduced formulas indicate that the temperature dependence of ẟ and σ of insulators with less impurities increase with the increasing [λ(χreal, Eg, T)/λ(χreal, Eg, T)p], and that λ(χreal, Eg, T), λ(χreal, Eg, T)p, ẟ and σ of insulators with less impurities decrease nearly linearly with increasing T in the range T > ΘD but decrease nonlinearly with increasing T in the range mΘD < T < ΘD, ΘD is Debye temperature, m of a given insulator is a constant which is < 0.4. The method of obtaining λ(χreal, Eg, T)Mee and corresponding χreal by secondary electron emission (SEE) was presented, λ(χreal, Eg, T)Mee is the λ(χreal, Eg, T) due to electron–electron scatterring in insulator. It concludes that the method presented here to obtain special formula for λ(χreal, Eg, T)p and corresponding χreal is a good method to research electron-lattice interaction by SEE, and that the method presented here to obtain values of λ(χreal, Eg)Mee and corresponding χreal is a good method to research electron–electron interaction by SEE. According to the values of ΘD, experimental σ, characteristics of temperature dependence of ẟ and σ and deduced formulas, it concludes that the method presented here to determine ΘD by SEE is a better method to determine ΘD of insulator with less impurities.http://www.sciencedirect.com/science/article/pii/S221137972030512XDebye temperatureElectron-lattice scatteringElectron–electron scatteringInsulatorsSecondary electron emission |
| spellingShingle | Ai-Gen Xie Zheng Pan Ya-Yi Chen Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators Results in Physics Debye temperature Electron-lattice scattering Electron–electron scattering Insulators Secondary electron emission |
| title | Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators |
| title_full | Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators |
| title_fullStr | Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators |
| title_full_unstemmed | Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators |
| title_short | Electron-lattice and electron–electron interactions and Debye temperature studied by temperature dependence of secondary electron emission from insulators |
| title_sort | electron lattice and electron electron interactions and debye temperature studied by temperature dependence of secondary electron emission from insulators |
| topic | Debye temperature Electron-lattice scattering Electron–electron scattering Insulators Secondary electron emission |
| url | http://www.sciencedirect.com/science/article/pii/S221137972030512X |
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