a) = 17 20.5 28.5 33.5 36 41.5 45 47 (in degrees from the picture analysis)
= 8.5 10.25 14.25 16.75 18 20.75 22.5 23.5 (in degrees)
sin = 0.1475 0.1779 0.2462 0.2882 0.3090 0.3543 0.3827 0.3987
sin2= 0.02184 0.03165 0.0606 0.0831 0.0955 0.1255 0.1465 0.1590
Three types of cubic lattice are there. PRIMITIVE BODY CENTERED FACE CENTERED
Different planes from which diffraction occur are
100 110 111 200 210 211 220 221 or 300 310 311 222 320 321 400 and( K=24a2 SINCE a is not given we cannot calculate K by this eqn)
primitive 1k 2k 3k 4k 5k 6k 8k 9k 10k 11k 12k 13k 14k 16k
fcc 2k 4k 6k 8k 10k 12k 14k 16k
bcc 3k 4k 8k 11k 12k 16k (THAT IS PEAKS IN THE DIFFRACTION PATTERNS CORRESPONDS TO THIS K VALUES)
BY TRIAL AND ERROR METHOD WE CAN CHOOSE K VALUE AS 0.00728 BY DIVIDING THE FIRST SIN2=0.02184 BY 3 SO THAT IT MATCHES WITH ALL OTHER VALUES. SO IT IS BCC PATTERN.
b) SO DIFFERENT PLANES ARE 111,200,220,311,222 ,400
c) LATTICE PARAMETER
n= 2d sin
SO d=n/2sin
HERE FOR FCC n=4
THEREFORE d=4*0.15418nm/0.1478*2
=2.086nm
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