### Abstract

A two dimensional system consisting of a half-infinite linear chain of A atoms wedged between two quarter-infinite square lattices of B atoms is considered. We present a novel approach for the calculation of the localized vibrational states on the extremity of the chain A at the boundary, as a function of the system force constants. The chain, regarded as an isolated inhomogeneity extending from the boundary into the bulk of the system, together with the surface boundary, break the symmetry in two dimensions. The matching method is generalized in two dimensions in order to treat the evanescent vibrational states of this system.

Original language | English |
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Pages (from-to) | 777-782 |

Number of pages | 6 |

Journal | Journal of Electron Spectroscopy and Related Phenomena |

Volume | 64-65 |

Issue number | C |

DOIs | |

Publication status | Published - 12 Dec 1993 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics
- Surfaces and Interfaces

### Cite this

*Journal of Electron Spectroscopy and Related Phenomena*,

*64-65*(C), 777-782. https://doi.org/10.1016/0368-2048(93)80149-G

**A novel approach for the calculation of localized vibrational surface states on the tip of an isolated linear atomic chain extending from the surface boundary into the bulk of two dimensional systems.** / Pennec, Y.; Rafil, O.; Khater, A.

Research output: Contribution to journal › Article

*Journal of Electron Spectroscopy and Related Phenomena*, vol. 64-65, no. C, pp. 777-782. https://doi.org/10.1016/0368-2048(93)80149-G

}

TY - JOUR

T1 - A novel approach for the calculation of localized vibrational surface states on the tip of an isolated linear atomic chain extending from the surface boundary into the bulk of two dimensional systems

AU - Pennec, Y.

AU - Rafil, O.

AU - Khater, A.

PY - 1993/12/12

Y1 - 1993/12/12

N2 - A two dimensional system consisting of a half-infinite linear chain of A atoms wedged between two quarter-infinite square lattices of B atoms is considered. We present a novel approach for the calculation of the localized vibrational states on the extremity of the chain A at the boundary, as a function of the system force constants. The chain, regarded as an isolated inhomogeneity extending from the boundary into the bulk of the system, together with the surface boundary, break the symmetry in two dimensions. The matching method is generalized in two dimensions in order to treat the evanescent vibrational states of this system.

AB - A two dimensional system consisting of a half-infinite linear chain of A atoms wedged between two quarter-infinite square lattices of B atoms is considered. We present a novel approach for the calculation of the localized vibrational states on the extremity of the chain A at the boundary, as a function of the system force constants. The chain, regarded as an isolated inhomogeneity extending from the boundary into the bulk of the system, together with the surface boundary, break the symmetry in two dimensions. The matching method is generalized in two dimensions in order to treat the evanescent vibrational states of this system.

UR - http://www.scopus.com/inward/record.url?scp=0027707516&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027707516&partnerID=8YFLogxK

U2 - 10.1016/0368-2048(93)80149-G

DO - 10.1016/0368-2048(93)80149-G

M3 - Article

AN - SCOPUS:0027707516

VL - 64-65

SP - 777

EP - 782

JO - Journal of Electron Spectroscopy and Related Phenomena

JF - Journal of Electron Spectroscopy and Related Phenomena

SN - 0368-2048

IS - C

ER -