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Temkin isotherm can be used to determine the interaction between the adsorbate molecules and adsorbent and the linear form is presented in Eq. 4: q_{text{e}} = B{text{ Ln}}A, + B{text{ Ln}}C_{text{e}}, (4 where A (L/g) is the Temkin constant related to maximum binding energy and B (J/mol) is the Temkin constant related to heat of sorption which are determined from the plot of qe vs LnCe.
The lifetime of the PL at 801 nm of these nanoparticles can be expressed in general as follows: 2where τ is the observed lifetime of the H4 state, τ0 is the natural lifetime of the H4 state, K is a constant related to surface quenching, [ Q] is the surface quenching rate, W is a modified constant related to the surface quenching, [SA/ V] is the surface to volume ratio of the nanoparticles.
Constant related to adsorption capacity.
constant related to the initial particle geometry.
Temkin isotherm constant related to the heat of adsorption.
B = Constant related to heat of sorption (J/mol).
T G is a typical time constant related to the governor actuator.
bT is the Temkin constant related to heat of adsorption (J mol−1).
Their values decrease rapidly and tend to each constant related to Poisson's ratio with plate thickness increasing.
A is Temkin's constant representing sorbet sorbent interactions, and B is another constant related to the heat of adsorption.
γ is the damping constant related to the electrons and its value is γ = 2π × 6.5 THz.
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