4. State the relation of the reciprocal basis vectors to the direct basis vectors to obtain the G.T = 2n. Show G.T = 2nn and what does means by this equation?

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4.
State the relation of the reciprocal basis vectors to the direct basis vectors to obtain the
G.T = 2nn. Show G.T = 2n and what does means by this equation?
st
5. Sketch the first Brillouin Zone ( 1 BZ) for a 2D square of real lattice with a = b= 2Ă.
Draw the incident wave vector, Ko, scattered wave vector, K and vector G at boundary
st
of the 1 BZ to show the (0, -1) is the valid lattice point for constructive interference.
st
State the range of the 1 BZ for both sides, which is along the direction of a*(kx axis )
and b* (ky axis), respectively.
6. Draw a 2D square reciprocal lattice and identify the 1st and 2nd Brillouin zones.
Apply the Laue condition by drawing relevant vectors in the reciprocal lattice
diagram to show that the (1, -1) is a valid reciprocal lattice point.
Transcribed Image Text:4. State the relation of the reciprocal basis vectors to the direct basis vectors to obtain the G.T = 2nn. Show G.T = 2n and what does means by this equation? st 5. Sketch the first Brillouin Zone ( 1 BZ) for a 2D square of real lattice with a = b= 2Ă. Draw the incident wave vector, Ko, scattered wave vector, K and vector G at boundary st of the 1 BZ to show the (0, -1) is the valid lattice point for constructive interference. st State the range of the 1 BZ for both sides, which is along the direction of a*(kx axis ) and b* (ky axis), respectively. 6. Draw a 2D square reciprocal lattice and identify the 1st and 2nd Brillouin zones. Apply the Laue condition by drawing relevant vectors in the reciprocal lattice diagram to show that the (1, -1) is a valid reciprocal lattice point.
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