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In this paper, a theoretical method based on the discrete electronic states is proposed to calculate the Fermi-level of metal nanoparticles embedded in an insulator. According to the calculations, the structures of metal nanoparticle energy level are acquired. Meanwhile, the new formula for evaluating the size of metal nanoparticle by using the information about the surface plasmon resonance peak is also provided. Many known phenomena related to the metal nanoparticles can be explained by this theory. The calculation results on size of nanoparticle are found to be in good agreement with the AFM measurements for high dose Cu implanted Si3N4/Si samples.
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Keywords:
- ion implantation /
- metal nanoparticles /
- insulators /
- Fermi-level
[1] Sood D K, Sekhar P K, Bhansali S 2006 Appl. Phys. Lett. 88 143110
[2] Amekura H, Umeda N, Sakuma Y, Plaksin O A, Takeda Y, Kishimoto N 2006 Appl. Phys. Lett. 88 153119
[3] Dumas C, Grisolia J, Ressier L, Arbouet A, Paillard V, Ben Assayag G, Claverie A, Van den Boogaart M A F, Brugger J 2007 Phys. Stat. Sol. (a) 204 487
[4] Yang Y, Sun X W, Tay B K, You G F, Tan S T, Teo K L 2008 Appl. Phys. Lett. 93 253107
[5] Su H Q, Xue S W, Chen M, Li Z J, Yuan Z L, Fu Y J, Zu X T 2009 Acta Phys. Sin. 58 7108 (in Chinese) [苏海桥、薛书文、陈 猛、李志杰、袁兆林、付玉军、祖小涛 2009 物理学报58 7108]
[6] Arnold G W, Borders J A 1977 J. Appl. Phys. 48 1488
[7] Zhang L, Jiang C Z, Ren F, Chen H B, Shi Y, Fu Q 2004 Acta Phys. Sin. 53 2910 (in Chinese) [张 丽、蒋昌忠、任 峰、 陈海波、石 瑛、付 强 2004 物理学报 53 2910] 〖8] Liu X F, Jiang C Z, Ren F, Fu Q 2005 Acta Phys. Sin. 54 4633 (in Chinese) [刘向绯、蒋昌忠、任 峰、付 强 2005 物理学报 54 4633]
[8] Inouye H, Tanaka K, Tanahashi I,Nakatsuka H 2000 Japan. J. Appl. Phys. 39 5132
[9] Kubo R 1962 J. Phys. Soc. Jpn. 17 975
[10] Kawabata A, Kubo R 1966 J. Phys. Soc. Jpn. 21 1765
[11] Kawabata A 1970 J. Phys. Soc. Jpn. 29 902
[12] Zeng J Y 2000 Quantum Mechanics (Vol. 1) (Beijing: Science Press) p308 (in Chinese) [曾谨言 2000 量子力学(卷1)(北京:科学出版社)第308页]
[13] Takeda Y, Zhao J P, Lee C G, Gritsyna V T, Kishimoto N 2000 Nucl. Instr. and Meth. B 166-167 877
[14] Takeda Y, Lee C G, Kishimoto N 2002 Nucl. Instr. and Meth. B 191 422
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[1] Sood D K, Sekhar P K, Bhansali S 2006 Appl. Phys. Lett. 88 143110
[2] Amekura H, Umeda N, Sakuma Y, Plaksin O A, Takeda Y, Kishimoto N 2006 Appl. Phys. Lett. 88 153119
[3] Dumas C, Grisolia J, Ressier L, Arbouet A, Paillard V, Ben Assayag G, Claverie A, Van den Boogaart M A F, Brugger J 2007 Phys. Stat. Sol. (a) 204 487
[4] Yang Y, Sun X W, Tay B K, You G F, Tan S T, Teo K L 2008 Appl. Phys. Lett. 93 253107
[5] Su H Q, Xue S W, Chen M, Li Z J, Yuan Z L, Fu Y J, Zu X T 2009 Acta Phys. Sin. 58 7108 (in Chinese) [苏海桥、薛书文、陈 猛、李志杰、袁兆林、付玉军、祖小涛 2009 物理学报58 7108]
[6] Arnold G W, Borders J A 1977 J. Appl. Phys. 48 1488
[7] Zhang L, Jiang C Z, Ren F, Chen H B, Shi Y, Fu Q 2004 Acta Phys. Sin. 53 2910 (in Chinese) [张 丽、蒋昌忠、任 峰、 陈海波、石 瑛、付 强 2004 物理学报 53 2910] 〖8] Liu X F, Jiang C Z, Ren F, Fu Q 2005 Acta Phys. Sin. 54 4633 (in Chinese) [刘向绯、蒋昌忠、任 峰、付 强 2005 物理学报 54 4633]
[8] Inouye H, Tanaka K, Tanahashi I,Nakatsuka H 2000 Japan. J. Appl. Phys. 39 5132
[9] Kubo R 1962 J. Phys. Soc. Jpn. 17 975
[10] Kawabata A, Kubo R 1966 J. Phys. Soc. Jpn. 21 1765
[11] Kawabata A 1970 J. Phys. Soc. Jpn. 29 902
[12] Zeng J Y 2000 Quantum Mechanics (Vol. 1) (Beijing: Science Press) p308 (in Chinese) [曾谨言 2000 量子力学(卷1)(北京:科学出版社)第308页]
[13] Takeda Y, Zhao J P, Lee C G, Gritsyna V T, Kishimoto N 2000 Nucl. Instr. and Meth. B 166-167 877
[14] Takeda Y, Lee C G, Kishimoto N 2002 Nucl. Instr. and Meth. B 191 422
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