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We have used Rietveld refinement technique to determine the extent ofintergrowth of Bi$_{2}$Sr$_{2}$CuO$_{6+x}$ phase and co-crystallization ofcompeting phases in a high temperature superconductorBi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ (Bi-2212). The refinement was done onpowder diffractograms obtained on powders of Bi-2212 made by grinding singlecrystals of Bi-2212 grown using two different self-flux techniques, namelypressure technique (PT) and regrowth technique(RG). JANA and FullPROF programswere used for refinement, both of which gave consistent results. Bi and Sratom's positions were refined in the average structure of centrosymmetric spacegroup $Bbmb$. To incorporate for Bi atoms modulation and modulation vector,refinement was done in centrosymmetric space groupN$^{Bbmb}_{1\bar{1}1}$(Bbmb(0$\gamma$1)). It was found that the b* component ofthe modulation vector decreased with a decrease in the superconductingtransition temperature in PT sample compared to the RG sample, suggesting abetter alignment of the CuO$_2$ planes with respect to Bi-O planes in PTsample. All the samples were also found to exhibit strong preferred orientationeffect. Values of March-Dollase parameters corresponding to the preferredorientation function were obtained. We also calculated Brindley absorptioncontrast factors \textit{t}$_{\phi}$ and the effect of micro-absorption on thequantity of phases present in each sample. A Rietveld refinement incorporatingall the factors resulted in exceptional values of goodness of fit parametersfor all the samples with the lowest value of 2.08 found for the PT sampleground for 2 minutes. Additionally, the powders corresponding to the PTcrystals were found to have no co-crystallising phase and $\sim$ 94$\%$ Bi-2212phase, suggesting that crystals grown by pressure technique are of extremelygood quality, much better than those grown by RG flux technique.

Quantitative phase analysis of Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ and  competing intergrowth and co-crystallising phases via a Rietveld refinement  study