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The bandgap of films was calculated using the Tauc relation by extrapolating the linear portion of plots of (αhυ 2 against hυ to the (αhυ 2 = 0 axis [27], where α is the optical absorption coefficient and hυ is the incident photon energy.
Initial velocities were obtained from the linear portion of plots of the concentration of product formed vs. time.
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The extrapolation of straight-line portion of plot gives the value of direct band gap.
As the second portion of plot did not pass through the origin, the intra-particle diffusion was not the only rate controlling step, indicating surface adsorption and intra-particle diffusion were likely to take place simultaneously.
This means that a portion of the plots are held back from the regression and these plots are then predicted by the resulting regression.
To evaluate regeneration and leaf damage on mahogany juveniles relative to common native woody species, in March 2008 a network of 37, 5-m-fixed radius circular plots (each 78.5 m2; total area = c. 2900 m2) was established in the eastern portion of Cabrits (plots denoted by circled '×' gray symbol in Appendix S1).
The Forest Inventory and Analysis (FIA) program of the USDA Forest Service conducts a national inventory of fuels along with blind remeasurement of a portion of inventory plots to monitor and improve data quality.
The energy gaps of the samples have been determined by extrapolating the linear portion of the plots of ( (alpha hupsilon )^{2} ) against ( hupsilon ) to the energy axis.
By plotting (αhν 1/n versus(hν) a straight line is acquired and then optical band gap can be determined by extrapolation of the linear portion of the plots of (αhν) 1/n versus (hν) to α = 0.
The optical band gap can be calculated by extrapolating the straight linear portion of the plots between (αhν 2 and hν to the phonon energy axis [16].
The intercepts obtained by the extrapolation of the second portion of the plots back towards the y-axis show that intraparticle diffusion is not the only controlling step of the process because the plot does not pass through the origin.
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