pertemuan -03
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geometri kissi kristal
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Geometri kissi kristal mempelajari bangun, bidang, dan garis lurus yang dibataskan oleh titik-titik kissi kristal bravais serta arah dan jarak antara obyek-obyek geometri
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Representasi titik kissi bravais
Kedudukan titik kristal dinyatakan sbg kombinasi linier 3 vektor basis tdak ko-planar
Dengan koefisien (n1, n2, n3) berbentuk bilangan bulat positif/negatif. Kedudukan titik kisi tertentu dinyatakan sebagai (n1, n2, n3)
R
),,( cba
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Representasi arah garis
• Arah titik asal (0,0,0) ke suatu titik tetap dinyatakan dengan
• Untuk dengan a bilangan bulat positif, maka dapat dinyatakan dengan arah
321 ,, ananan
321 ,, nnn
321 ,, nnn
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Indeks miller
• The orientation of the planes is defined by the Miller index hkl
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Miller Notation Sumary
hkl
hkl
hkl
hkil
hkil
Convention interpretation
(hkl) Crystal plane
Eguivalent planes
Crystal direction
Equivalent directions
Plane hexagonal
Direction hexagonal
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Example 1,
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Example 2,
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x
y
z
x = 1
y = 2
z = 3
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Draw planes with Miller indices (007), (008), (212), (120), (123), (246)
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Calculating the distance between planes
In orthogonal crystals, we can calculate the distance between planes, d, from the Miller index (h k l)and the unit cell dimensions a,b,c from the following formula
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eq
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Plane
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Unit vector normal to (h k l):
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