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4 years ago

Bestimmung von Segregationspro len in InxGa1-x As ...

Bestimmung von Segregationspro len in InxGa1-x As ...

Ψ(r) = Ψ0(r) + 2πme

Ψ(r) = Ψ0(r) + 2πme h2 Ω Ψ(r) Ψ(r) = Ω ∞ Ψn(r) n=0 Ψn n=1 |r| ≫ |r ′ | |r − r ′ | ≈ r − r′ · k ′ k ′ exp(−2πik ′ |r − r ′ |) |r − r ′ V (r | ′ )Ψ(r ′ )d 3 r ′ Ψ(r, q) = exp(−2πik · r) + σkf (q) exp(−2πikr) ) σ = r 2πme h2k r f (q) = exp(2πiq · r ′ )V (r ′ )d 3 r ′ Θ f (q) δ Z f (q) = e 4π2 [Z − f ɛ0|q| 2 (q)]

f (q) N F(q) F (q) = N i=1 f (i) (q) exp(2πi(q · ri)) V (r) = i F (gi) Ω exp (−2πigi · r) , Ω = hkl F(ghkl) = 4{f (ghkl) + f (ghkl) exp (2πi(h + k + l)/4)} f f (ghkl) = xf (ghkl) + (1 − x)f (ghkl) F (ghkl) = 4{x(f +(1 − x)(f (ghkl) + f (ghkl) + f (ghkl) exp (2πi(h + k + l)/4)) (ghkl) exp (2πi(h + k + l)/4))}

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