### Abstract

In this paper a nonisothermal model which describes the oxide layer thickness evolution and the sample temperature variation in the case of a small vanadium plate in a cwCO_{2} laser beam is considered. In the framework of the model the equilibrium temperature T*(P) of the sample; the equilibrium oxide layer thickness x*(P); the moment of time t _{0}(P) when 1nm oxide layer thickness is achieved; the sample temperature T(t_{0}(P)) at the moment t_{0}(P); the moment of time t_{1}(P) when the equilibrium temperature is achieved; the oxide layer thickness x(t_{1}(P)) at the moment when the equilibrium temperature is achieved; the growth speed v(t_{0}(P)) at the moment t_{0}(P) and the growth speed v(t_{1}(P)) at the moment t _{1}(P) are computed in function of the laser power P, which varies in the range 4 ÷ 25 [W]. It is shown that starting from the room temperature (T' = 300[k]) if P increases, then T*(P) increases and x* (P) decreases at the beginning but after that increases t_{0}(P) is order 10^{-9} [s] and it is constant; T(t_{0}(P)) is practically equal to the starting room temperature; t_{1}(P) is of order 10^{0} ÷ 10^{1} [s] and decreases when P increases; x(t_{1}(P)) is of order 10^{-5} [m] and decreases when P increases; v(t _{0}(P)) is of order 10^{-1} [m/s] and it is constant; due to the evaporation v(t_{0}(p)) Is negative It is of order 10^{-8} ÷ 10^{-9} [m/s] and decreases when P increases. In particular it is shown that the experimental results, presented in [7], concerning the oscillogram of the sample temperature, the evolution of the oxide layer thickness can be obtained with high accuracy in the framework of the model. It is found that the oxide layer thickness evolutions for P = 4[W] and P = 17[W] correspond to the two oxide types VO and V_{2}O_{5}, as is reported in [7], How well the computed results are in agreement with other experimental results depends on the smallness of the effect of the processes which were not incorporated in the model. The advantage of this theoretical analysis is the possibility to obtain explicit results from which the limits of the model can be specified and special results can be gleaned. With this aim this study was undertaken.

Original language | English |
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Pages (from-to) | 2425-2432 |

Number of pages | 8 |

Journal | Journal of Optoelectronics and Advanced Materials |

Volume | 10 |

Issue number | 9 |

Publication status | Published - Sep 2008 |

### Keywords

- Laser beams
- Oxidation
- Vanadium
- Vanadium oxide

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics
- Electrical and Electronic Engineering

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## Cite this

_{2}laser.

*Journal of Optoelectronics and Advanced Materials*,

*10*(9), 2425-2432.