A Debye-Scherrer pattern of tungsten (BCC) is made with Cu Ka radiation. The

first four lines on this pattern were observed to have the following 8 values:

Line tl - -

1 20.3"

2 29.2

3 36.7

4 43.6

Problems 145

Index these lines (i.e., determine the Miller indices of each reflection by the use of Eq.

(3-10) and Appendix 10) and calculate their relative integrated intensities.

Answer:

The Miller indices are found using the Bragg's reflection condition and substituting the values of theta, lattice constant for tungsten and wavelength of Cu Ka radiation used. The corresponding Miller indices for BCC structure are obtained using the Appendix in "Elements of X ray diffraction by BD Cullity". Subsequent appendices are also from the same text book and can be referred for further understanding.

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The relative integrated intensity is calculated using the formula : I= F^2 x p x Lorentz polarization factor.