بوسر رب یزاسریپ و تظلغ رثا یسررب ایرتیا ردوپونان یهدĮffects of adding Ferrosilicon and insitu formation of SiC nano whiskers on MgO-C RefractoriesĪ Porous Sodium Alginate-CaSiO 3 Polymer Reinforced with Graphene Nanosheet: Fabrication and Optimality Analysis These results show that modified Scherrer equation method is promising in nano materials applications and can distinguish between 37.3 and 38.1 nm by using the data from all of the available peaks. This novel technique is used for a natural Hydroxyapatite (HA) of bovine bone fired at 600☌, 700☌, 900☌ and 1100☌ from which nano crystallite sizes of 22.8, 35.5, 37.3 and 38.1 nm were respectively obtained and 900☌ was selected for biomaterials purposes. Modified Scherrer equation plots lnβ against ln(1/cos θ) and obtains the intercept of a least squares line regression, ln= Kλ/L, from which a single value of L is obtained through all of the available peaks. The purpose of modified Scherrer equation given in this paper is to provide a new approach to the kind of using Scherrer equation, so that a least squares technique can be applied to minimize the sources of errors. This means that for a typical 5nm crystallite size and λ Cukα 1 = 0.15405 nm the peak at 2 θ = 170° must be more than ten times wide with respect to the peak at 2 θ = 10°, which is never observed. But, if all of the peaks of a pattern are going to give a similar value of L, then β.cosθ must be identical. Shape factor of K can be 0.62 - 2.08 and is usually taken as about 0.89. Scherrer Equation, L=Kλ/β.cosθ, was developed in 1918, to calculate the nano crystallite size ( L) by XRD radiation of wavelength λ (nm) from measuring full width at half maximum of peaks ( β) in radian located at any 2θ in the pattern.
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