2014
DOI: 10.3813/aaa.918723
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Ultrasonic Studies of Molecular Interactions in Polymer Solution of the Polyisobutylene (PIB) and Benzene

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Cited by 12 publications
(3 citation statements)
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“…The USW velocity has been directly proportion with ZrO 2 NPs added, but inversely proportional with frequency, because USW causes various physical interaction between PEO/PMMA/PVP and ZrO 2 NPs molecules, lead to increase the velocity, but the increasing of frequencies led to decrease the velocities [12]. Figures (6 and 7) show that, the relaxation time and relaxation amplitude also decrease against the frequencies according to theoretical equation [13]:…”
Section: Resultsmentioning
confidence: 90%
“…The USW velocity has been directly proportion with ZrO 2 NPs added, but inversely proportional with frequency, because USW causes various physical interaction between PEO/PMMA/PVP and ZrO 2 NPs molecules, lead to increase the velocity, but the increasing of frequencies led to decrease the velocities [12]. Figures (6 and 7) show that, the relaxation time and relaxation amplitude also decrease against the frequencies according to theoretical equation [13]:…”
Section: Resultsmentioning
confidence: 90%
“…The reduced volume Ṽ in terms of the coefficient of thermal expansion (α) can be computed using the relation given below: = ( α T 3 false( 1 + α T false) + 1 ) 3 where α can be calculated in terms of ultrasonic velocity ( U ) and density ( d ) at various temperatures and concentrations using a well-known relation available in the literature: α = 75.6 × 10 6 T 1 / 9 U 1 / 2 d 1 / 3 P * can be evaluated from the knowledge of α and K T : P * = γ P 2 = true( P T true) V 2 = ( α K T ) 2 where γ P is the thermal pressure coefficient at the zero pressure limit and K T is the isothermal compressibility. K T was determined using a formula taken from the literature. , The above relations have been employed to compute P *, V *, and T* for mixture components. Thereafter, these parameters were used to determine the segment fractions (ψ), site fraction (θ), and interaction parameter (χ 12 ) for the binary mixtures.…”
Section: Theoretical Formulationmentioning
confidence: 99%
“…K T was determined using a formula taken from the literature. 40 , 41 The above relations have been employed to compute P *, V *, and T* for mixture components. Thereafter, these parameters were used to determine the segment fractions (ψ), site fraction (θ), and interaction parameter (χ 12 ) for the binary mixtures.…”
Section: Theoretical Formulationmentioning
confidence: 99%