Activation energy threshold

Activation energy = Threshold energy - Energy possessed by the molecules initially. 

Activation Energy = Threshold Energy - Average Energy possessed... 

The use of molecular and atomic beams is especially useful in studying chemiluminescence because the results of single molecular interactions can be observed without the complications that arise from preceding or subsequent energy-transfer coUisions. Such techniques permit determination of active vibrational states in reactants, the population distributions of electronic, vibrational, and rotational excited products, energy thresholds, reaction probabihties, and scattering angles of the products (181). 

Photodetectors exhibit well-defined, cutoff wavelength thresholds, the positions of which are determined by the magnitudes of the band gap activation energy, E, or impurity-activation energy, E. The cutoff wavelength, corresponds to a photochemical activation energy, E, where. 

The experimentally determined threshold energy E0 obtained for the immonium ion and corrected for the kinetic shift is 0 = 44 kcal/mol (see Table 10) and thus in very good agreement with the predicted activation energy. This agreement provides strong support for the proposed mechanism.1003... 

Both the Slater and the rrkm treatments are inappropriate for calculations of °°, since the dissociation is not characterized by a critical extension of one bond, but rather by the transition from one potential surface to another. In such a case the observed activation energy at high pressures will be lower than the energy threshold for reaction110. From their high-pressure data Olschewski et a/.109 calculate that E0 = 63 kcaLmole-1 and that the transition matrix-element is 100 caLmole-1, which is in good agreement with the spin-orbit interaction term for O atoms. 

In general, the activation energy for a given elementary reaction is different from the threshold energy. Experimentally it has also been verified in some reactions, e.g. E0 and act for the reaction NO + 03 — N02 + 02 have been obtained as 3.0 0.45 kcals mol 1 and 4.2 0.3 kcals mol-1, respectively. 

The energy increase related to a compositional fluctuation resulting in a two-phase splitting may be considered as an energy threshold of activation of the de-mixing process. The spinodal curve thus defines a kinetic limit, not a phase boundary line. 

Here, L total is the depth of the etched hole per pulse and is assumed to be the sum of photochemical and photothermal contributions, Tphoto and Thermal, respectively 0Ceff is the effective photon absorption coefficient of the medium and can vary with laser emission characteristics, e g., photon density Fis the incident laser fluence Fth is the medium s threshold fluence A and F are the effective frequency factor with units of pm/pulse and the effective activation energy with units of J/cm2, respectively, for the zeroth-order thermal rate constant F0, comparable in magnitude to Fth, is important only at low fluences.64 Equation (5) is obtained after assuming that the polymer temperature T in the laser-exposed region of mass mp and the thermal rate constant k are given, respectively, as... 

There is no distinct threshold between physical adsorption, i.e., reversible adsorption with small activation energy of desorption, chemisorption with a significant activation energy of desorption, and formation of surface compounds with a high activation energy for... 

By comparison of (M) and (F), it can be seen that the preexponential factor A in the Arrhenius equation can be identified with PaA]i(8kT/Tr/ji,y/2 and the activation energy, a, with the threshold energy Eu. It is important to note that collision theory predicts that the preexponential factor should indeed be dependent on temperature (Tl/2). The reason so many reactions appear to follow the Arrhenius equation with A being temperature independent is that the temperature dependence contained in the exponential term normally swamps the smaller Tl/Z dependence. However, for reactions where E.t approaches zero, the temperature dependence of the preexponential factor can be significant. 

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