Estimation of particle size using the Debye equation and the Scherrer formula for polyphasic TiO2 powderdoi:10.1088/1742-6596/1410/1/012057A. O. BokuniaevaA. S. VorokhInstitute of Physics Publishing6th International School and Conference on Optoelectronics, Photonics, Engineering and Nanostructures, ...
Assuming a spherical shape and a cubic lattice, the Scherrer formula (D = 6.96/FWHM) can be used to estimate the diameter of the crystallites as D = 75.3 ± 30.0 nm for decomposition at 11.5 GPa and D = 34.6 ± 8.4 nm for decomposition at 29.0 GPa22....
The crystallite size obtained from GIXS measurements is estimated by the Scherrer formula given by, where τ is the crystal grain size, κ is a constant (0.94), λ is the wavelength (1.24 Å), θ is half the angle corresponding to the intensity peak and β is the FWHM of the ...
Nano Crystalline via a Facile Solution Method Shihua Zhao 1 ∗,Fangjie Shu 1,Yanmin Li 1,Cuimei Liu 1,Wenwen Shan 2,Yuting Cui 1,and Lei Yang 3 1Department of Physics and Information Engineering,Shangqiu Normal University,Shangqiu,Henan Province 476000,P .R.China 2North China University of...
it is highly believed that the Pb2+ions were fully incorporated into the host matrix. The results suggest that varying the mol% of Pb2+ions does not affect the crystal structure of the phosphor. The crystallites sizes were estimated by using the Scherrer formula [21], using the most intens...
In general, the crystalline size (L) of the terpolymers can be estimated by the Scherrer formula [15],(1)L=0.9λ/(Bcosθ),where λ is the x-ray wavelength, B is the full width at half the maximum of the peak, and θ is the Bragg angle. The average crystalline sizes are then ...
Scherrer, Classification of scalar field potentials with cosmological scaling solutions. Phys. Rev. D 59, 023509 (1998). https://doi.org/10.1103/PhysRevD.59.023509arXiv:astro-ph/9809272 Article ADS Google Scholar P. Peebles, B. Ratra, The cosmological constant and dark energy. Rev. Mod. ...
The compounds obtained by the process according to the invention are suitable for use as intermediates for preparing reactive dyes.doi:EP0414637 A1SCHERRER WILFRIEDSTUDER MARIO DR.EP
(Supplementary Fig.4) confirm the formation of the pure wurtzite-structure GaN. Based on the Scherrer’s formula and the (110) diffraction, the crystal size of the synthesized GaN samples is determined to be 7.4, 10.5, and 16.7 nm, respectively (Supplementary Table2). Hereafter, the ...
Since the instrumental broadening (β) modifies the crystallite size of nanoparticles estimated by the Scherrer formula, the broadening contribution of the instrument should be subtracted. Therefore, the diffraction pattern of the standard silicon material was employed [26,27]. The corrected FWHM, namel...