Question

Ang wavelength Inc or scattered 2 Name, - Atamic factor or For factor For Factor \( \Rightarrow i_{j} \) lepands upan and wavelongth of \( x \) xay \[ G=\frac{2 \pi}{d} \Rightarrow G=\frac{2 \pi}{\lambda} \] Now \[ f_{j}=\int d v n_{j}(x) e^{-i \sigma \cdot r^{3}} \] \( d v=r^{2} d r \sin \theta d \theta d \phi \) \( \sin \theta d \theta=-d(\cos \theta) \) \[ F_{j}=2 \pi \int_{0}^{\infty} \gamma^{2} n \cdot(x) d r^{2} 2 \frac{e^{i k \gamma}}{2 i \pi \gamma} \]

          Ang wavelength Inc
or scattered
2 Name, -
Atamic factor or
For factor For Factor
\( \Rightarrow i_{j} \) lepands upan and wavelongth of \( x \) xay
\[
G=\frac{2 \pi}{d} \Rightarrow G=\frac{2 \pi}{\lambda}
\]

Now
\[
f_{j}=\int d v n_{j}(x) e^{-i \sigma \cdot r^{3}}
\]
\( d v=r^{2} d r \sin \theta d \theta d \phi \)
\( \sin \theta d \theta=-d(\cos \theta) \)
\[
F_{j}=2 \pi \int_{0}^{\infty} \gamma^{2} n \cdot(x) d r^{2} 2 \frac{e^{i k \gamma}}{2 i \pi \gamma}
\]

Ang wavelength Inc
or scattered
2 Name, -
Atamic factor or
For factor For Factor
⇒ ij lepands upan and wavelongth of x xay

G=(2 π)/(d)⇒ G=(2 π)/(λ)

Now

fj=∫ d v nj(x) e^-i σ· r^3

d v=r^2 d r sinθ d θ d ϕ
sinθ d θ=-d(cosθ)

Fj=2 π∫0^∞γ^2 n ·(x) d r^2 2 (e^i k γ)/(2 i πγ)

Added by Sonya T.

The Physics of Vibrations and Waves

H. J. Pain 6th Edition

Chapter 12

Instant Answer

Solved by Expert Ramesh Rajak

Step 1

The equations seem to involve concepts from crystallography and scattering theory, particularly related to X-ray diffraction, but they contain inconsistencies and typographical errors. We'll attempt to correct and simplify the approach for clarity. ### Show more…

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Ang wavelength Inc or scattered 2 Name, - Atamic factor or For factor For Factor \( \Rightarrow i_{j} \) lepands upan and wavelongth of \( x \) xay \[ G=\frac{2 \pi}{d} \Rightarrow G=\frac{2 \pi}{\lambda} \] Now \[ f_{j}=\int d v n_{j}(x) e^{-i \sigma \cdot r^{3}} \] \( d v=r^{2} d r \sin \theta d \theta d \phi \) \( \sin \theta d \theta=-d(\cos \theta) \) \[ F_{j}=2 \pi \int_{0}^{\infty} \gamma^{2} n \cdot(x) d r^{2} 2 \frac{e^{i k \gamma}}{2 i \pi \gamma} \]