Geometrical structure factors of simple cristal structures

 

Structure Geometrical structure factor: general formula geometrical structure factor: special cases Examples of cristals  
bcc for h+k+l even Nb,  
fcc

for h,k,l unmixed

0 otherwise

    
Diamond

for

for

0 otherwise

 Si, Ge C,  
ZnS

0 for h,k,l mixed

, for h+k+l = 4 n

, for h+k+l=2n

, for h,k,l uneven

 GaAs, GaSb,InP  
NaCl

0 for h,k,l mixed

for h,k,l uneven

for h,k,l even

 NaCl  
CsCl

0 for h,k,l mixed

for h+k+l even

for h+k+l uneven

 CsCl  
CaF2

0 for h,k,l mixed

for

for

for h,k,l uneven

 CaF2  
         
         

NB.: The structure factor Fτ is obtained by multiplying the geometrical structure factor with the Debye-Waller factor exp(-W).

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