Melting Temperature, Brillouin Shift, and Density of States of Nanocrystals
The amplitude of displacement of atoms due to scattering at the surface is calculated. It is found that the zero-point vibrational correction to the mean-square displacement varies as the inverse square of the nanocrystal size and the temperature-dependent part also varies with the nanocrystal size....
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| Published in: | Nano letters Vol. 2; no. 5; pp. 519 - 523 |
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| Format: | Journal Article |
| Language: | English |
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American Chemical Society
01-05-2002
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| Abstract | The amplitude of displacement of atoms due to scattering at the surface is calculated. It is found that the zero-point vibrational correction to the mean-square displacement varies as the inverse square of the nanocrystal size and the temperature-dependent part also varies with the nanocrystal size. The melting temperature is found to depend on the nanocrystal size so that smaller melting temperature is obtained for smaller nanocrystals. The phonon−phonon scattering is found to shift the Brillouin line such that as the crystal size reduces, it moves toward the Rayleigh line. The phonon density of states is found to be larger for nanocrystals than for the bulk crystals as it depends on the inverse square of the nanocrystal size. |
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| AbstractList | The amplitude of displacement of atoms due to scattering at the surface is calculated. It is found that the zero-point vibrational correction to the mean-square displacement varies as the inverse square of the nanocrystal size and the temperature-dependent part also varies with the nanocrystal size. The melting temperature is found to depend on the nanocrystal size so that smaller melting temperature is obtained for smaller nanocrystals. The phonon−phonon scattering is found to shift the Brillouin line such that as the crystal size reduces, it moves toward the Rayleigh line. The phonon density of states is found to be larger for nanocrystals than for the bulk crystals as it depends on the inverse square of the nanocrystal size. |
| Author | Shrivastava, Keshav N |
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| CitedBy_id | crossref_primary_10_1081_ASR_120030955 crossref_primary_10_1088_0022_3727_42_24_245402 crossref_primary_10_1016_j_ejpb_2010_03_002 |
| Cites_doi | 10.1142/4548 10.1080/01418619808214258 10.1051/anphys/192209170088 10.1063/1.362543 10.1103/PhysRevB.52.3315 10.1103/PhysRevLett.84.923 10.1007/BF01397500 10.1103/PhysRevB.59.R15601 10.1002/pssb.2220990131 10.1126/science.256.5062.1425 10.1007/BF01568084 10.1016/0375-9601(79)90895-8 10.1103/PhysRevLett.87.205501 10.1021/nl010064n |
| ContentType | Journal Article |
| Copyright | Copyright © 2002 American Chemical Society |
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| DOI | 10.1021/nl020287t |
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| References_xml | – ident: nl020287tb00017/nl020287tb00017_1 doi: 10.1142/4548 – volume: 77 start-page: 1367 year: 1998 ident: nl020287tb00005/nl020287tb00005_1 publication-title: Philos. Mag. A doi: 10.1080/01418619808214258 contributor: fullname: Johari G. P. – volume: 17 start-page: 88 year: 1922 ident: nl020287tb00009/nl020287tb00009_1 publication-title: Ann. Physique (Paris) doi: 10.1051/anphys/192209170088 contributor: fullname: Brillouin L. – volume: 79 start-page: 8318 year: 1996 ident: nl020287tb00010/nl020287tb00010_1 publication-title: J. Appl. Phys. doi: 10.1063/1.362543 contributor: fullname: Fultz B. – volume: 52 start-page: 3315 year: 1995 ident: nl020287tb00011/nl020287tb00011_1 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.52.3315 contributor: fullname: Fultz B. – volume-title: Principles of Optics ident: nl020287tb00016/nl020287tb00016_1 contributor: fullname: Born M. – volume: 25 start-page: 429 year: 1908 ident: nl020287tb00014/nl020287tb00014_1 publication-title: Ann Physik contributor: fullname: Mie G. – volume: 84 start-page: 923 year: 2000 ident: nl020287tb00003/nl020287tb00003_1 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.84.923 contributor: fullname: Wickham J. N. – volume: 38 start-page: 304 year: 1926 ident: nl020287tb00015/nl020287tb00015_1 publication-title: Zeit. Phys. doi: 10.1007/BF01397500 contributor: fullname: Blumer H. – volume: 59 start-page: 15601 year: 1999 ident: nl020287tb00008/nl020287tb00008_1 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.59.R15601 contributor: fullname: Bottani C. E. – start-page: 447 year: 1871 ident: nl020287tb00013/nl020287tb00013_1 publication-title: Lord Philos. Mag. contributor: fullname: Rayleigh – volume: 99 start-page: 305 year: 1980 ident: nl020287tb00006/nl020287tb00006_1 publication-title: Phys. Stat. Solidi B doi: 10.1002/pssb.2220990131 contributor: fullname: Suguna A. – volume: 256 start-page: 1425 year: 1992 ident: nl020287tb00002/nl020287tb00002_1 publication-title: Science doi: 10.1126/science.256.5062.1425 contributor: fullname: Goldstein A. N. – volume: 62 start-page: 331 year: 1996 ident: nl020287tb00004/nl020287tb00004_1 publication-title: Appl. Phys. A doi: 10.1007/BF01568084 contributor: fullname: Goldstein A. N. – volume: 71 start-page: 121 year: 1979 ident: nl020287tb00007/nl020287tb00007_1 publication-title: Phys. Lett. A doi: 10.1016/0375-9601(79)90895-8 contributor: fullname: Suguna A. – volume: 87 start-page: 501 year: 2001 ident: nl020287tb00012/nl020287tb00012_1 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.87.205501 contributor: fullname: Derlet P. M. – volume: 2 start-page: 21 year: 2002 ident: nl020287tb00001/nl020287tb00001_1 publication-title: Nano Lett. doi: 10.1021/nl010064n contributor: fullname: Shrivastava K. N. |
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| Title | Melting Temperature, Brillouin Shift, and Density of States of Nanocrystals |
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