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Unformatted text preview: ng the equations 3 1 a nd 3  2
w ith a two parameter fitting program: 2 * d * s in(@) where: n = d = * w  d iffraction equation s pacing between planes of atoms
corresponding the Miller indices h k 1 . w = w avelength of the Xrays n = o rder number of the diffraction peak a, c = l attice parameters of the
hexagonal unit cell. P age  2 7  8 = a ngle between the incident Xrays and the sample. Peak positions of K a a nd K b l ines were then calculated based on the previously calculated
lattice parameters. The calculated peak positions were compared to the
data facilitating the indexing of additional peaks If a significant number nonindexed lines remain
then return to step 2 ) . F i g . 1 3 s hows the indexing of Xray diffraction patterns
for the pure T iS (x 2 s tage 1 A gxTiS2 ( x 33 ( a) = = O), s tage 2 A gxTiS2 ( x = . 2 0 ) a nd . 4 0 ) s amples. XRAY  L attice Parameters of the T iS 2 S tock Powder X ray diffraction data were first taken of the T i S
m aterial to verify the quality.
the starting T i S 2 s tock The lattice parameters of p owder were determined by indexing 3 7 o f t he copper K a a nd K
32(b). 2 b diffraction lines using the algorithm of N o evidence of pure sulfur, titanium or T i 0 f ound. The lattice parameters of the stock T iS
c alculated from the Xray data to be a = 3.406 2 2 w as w ere + 0.002 A a nd 0 't 100
101 003 ooe    105  005 103  7 104 102 P age  28c = 5 . 6 9 1 t 0 .004 A i n agreement with previously determined
T he graph of S /Ti r atio vs and accepted values ( 57, 3 0 , 63). lattice parameters compiled by Jacques e t . a l. ( 63) w as used
to verify that the ratio of S /Ti = 2 . 0 0 2 0 . 0 2 f or the T iS 2 p owder used in this work. 3 3 ( b) X ray  L attice Parameters Group A ( quenched from 8 00 C )
X ray data was taken at room temperature of the group A
s amples. The diffraction peaks were identified and the lattice parameters calculated using the algorithm outlined in
3 2 ( b). The lattice parameters...
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 Fall '09
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