Reference no: EM132612141

Question 1: The powder x-ray diffraction pattern of Mg3NF3 is summarised in Table 1.

1. Determine the Bravais Lattice

2. Index eachline

3. Determine the Lattice Constant(s) and the density of thismaterial

4. Sketch out one unit cell and locate each atom insideit.

5. Calculate the relative intensity of eachpeak using the Intensity equation

I=F² p (1+Cos² 2Φ)/(Sin²ΦCosΦ)

Table 1 X-Ray Powder Diffraction Pattern Mg3NF3 (l = 1.541 oA)
Line no	Diffraction angle /2j	Miller Index	Relative Intensity
1	21.06
2	29.96
3	36.91
4	42.88
5	48.24
6	53.19
7	62.25
8	66.50
9	70.61

(6) Determine how the diffraction angles would change for lines 4 & 5 if the particle was modified for a tetragonal elongation along c, such that a= b≠c and c = 0.620 nm.

(7) Calculate the particle size if the peak width at half height for Line no 1 was 2.0° given that a peak width of 0.5° was recorded for a perfect crystal.

(8) Draw the set of planes corresponding to line 9. Further draw the related planes (-h, k, l) and (h, -k, l) ( h, k, -l)

(9) An electron diffraction pattern is given for molybdenum metal, given the d values index the first 3 spots highlighted in each pattern and correct for vector consistency then index the remaining peaks λL = 1.90 nm.mm

hkl d value
110 .22 nm
200 .16 nm
211 .13 nm
220 .11 nm
310 .10 nm