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).