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X-Ray Diffraction

 

 

 

Figure 5: Miller indices 

 

where h, k, and l are the Miller indices for each plane, d is the spacing, and a is the lattice constant. 

XRD of ZnS:Cu+Ag sample, showing corresponding 2theta and d-spacing values

XRD of ZnS:Cu sample, showing corresponding 2theta and d-spacing values.

HCI

XRD of ZnS:Cu+Y sample, showing corresponding 2theta and d-spacing values.

XRD of ZnS:Cu sample, showing corresponding 2theta and d-spacing values.

Bugil

XRD of ZnS:Cu+Al sample, showing corresponding 2theta and d-spacing values.

XRD of ZnS:Cu+Mn sample, showing corresponding 2theta and d-spacing values.

X-ray diffraction were conducted for all samples. 

The d-spacing can be found by Bragg’s Law. 

where n = 1 is order of transition, 𝜃 is the diffraction angle of Bragg peak (in degrees), 𝜆 = 1.5406 Å is wavelength of x-ray, d is d-spacing (in Å). 

The average particle size was approximated by Scherrer equation. 

Figure 4: FWHM 

 

where τ is the mean size of the ordered (crystalline) domains (different from grain size); 

K is assumed to be 0.94, although it varies with crystal structure; 

λ is the x-ray wavelength; β is FWHM (in radians); 

θ is the Bragg angle (in degrees). 

The Miller indices are obtained from the following equation. 

Structural Parameters of ZnS:Cu Nanoparticles
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