Abstract
In the present work an interferometer laser technique was applied to determine the values and behavior of some physical parameters of one of most important laser dye solvent, benzene. Density, viscosity, relaxation time, tilt angle, radiation power, work done, and scattering factor were determine as values and behavior as function of temperature, thermal behavior d/dT, and wavelength, dispersion behavior, d/dλ. The viscosity values and its thermal behavior were determined by using the following derived equation: (dτ/dT=(3/kT 2){T[ηλ(dV/dT)]−ηλ V λ}. It was found that the relation between η and λ obeys the empirical relation η T (λ)=η20(λ)+(d η d λ)Tλ. The relaxation time τ values were determined with the aid of τλ(T)=(3/kT)V η λ(T), in addition the values of (dτ/dT)λ and (dτ/dλ) T were determined. The dispersion behavior of τ was fitted with the form τ=2.029×10−4exp(−2.060×10−4λ). The interrelation between both τ and η under the effect of temperature was verified too. The maximum radiation power exerted by one molecule of that laser dye solvent, F max, as a function of T and λ was investigated. It was found that its thermal behavior follows F max=1.366×10−31 exp(−2.31×10−2 T). Its wavelength behavior was F max(λ)T=2.581×10−27 exp(−2.31×10−2λ). The scattering power γs was estimated with its thermal change (dγs/dT)λ and its wavelength change (dγs/dλ) T were studied. The tilt angle θ of the laser dye cell was determined with its thermal and wavelength change (dθ/dT)λ and (dθ/dλ) T , respectively. The work W and power P exerted by the dye solvent molecule were determined by using one of thermodynamical formula W=VβTP both (dW/dT)λ and (dθ/dλ) T were studied. The temperature and wavelength dependence of W was estimated during the derived relation W=3.7817×10−24(T 2−T 1)+4.6754×10−25(λ2−λ1). The viscosity dependence of the refractive index n T,λ(η) was studied which was found that it obeys for λ=458 nm n ,λ(η)=1.4270+2.1869 × 10−47 exp(1.589×104η T,λ−1). The density dependence of the refractive index n T,λ(π) was investigated showing a relation n T,λ(ϱ)=1.079+ϱ T,λ(dn/dϱ) T,λ, from which the value of (dn/dρ)20,458=0.4954 holds. Three triplet relations were investigated: 1) the n-ρ-T relation to be n λ(T)=1.243−5.295×10−4 T+0.3204ϱλ(T),2) the n-η-ϱ relation follows n(T)=−4.699×10−2−2.329×10−2 ρ(T)+4.893×10−2 n λ(T) and 3) the η-ρ-T relation obeying ηλ(T,ϱ)=−7.063×10−3 exp{−0.5[(T+7.101×10−2/s.005×103)+(ϱ−0.8409/0.7863)]}. All of these numerical values are selected for λ=458 nm, as an example. From these triplet relations the values of (dn/dρ)cal, (dη/dT)cal, (dη/dρ)cal, (dn/dη)cal and (dη/dn)cal were estimated and compared with that experimental values.
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Ghazy, R.A.M. An innovative investigation of viscosity, relaxation time, tilt angle and radiation force variations by using a laser interferometer method of a laser dye solvent. Acta Phys. Hung. B 23, 187–212 (2005). https://doi.org/10.1556/APH.23.2005.3-4.8
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DOI: https://doi.org/10.1556/APH.23.2005.3-4.8