Show that a diffuse scattering intensity from two arbitrary atoms i and j of an amorphous...

 

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Show that a diffuse scattering intensity from two arbitrary atoms i and j of an amorphous solid (spatially isotropic) can be written sin(Kri;) Krij i j where rij is the distance between atoms i and j. b) Assume spherically symmetric electron density na(r) associated with an atom i and show that atomic form factor can be written fi = 47 /n(r) sin(Gr). n:(r) Gr What is the maximum limit for fi? What are the physical conditions (realistic or non-realistic) to obtain the maximum limit during scattering? Show that a diffuse scattering intensity from two arbitrary atoms i and j of an amorphous solid (spatially isotropic) can be written sin(Kri;) Krij i j where rij is the distance between atoms i and j. b) Assume spherically symmetric electron density na(r) associated with an atom i and show that atomic form factor can be written fi = 47 /n(r) sin(Gr). n:(r) Gr What is the maximum limit for fi? What are the physical conditions (realistic or non-realistic) to obtain the maximum limit during scattering?