We have calculated the Hall factor in strained p-type Si1-xGex alloy g
rown on (001) Si, taking into account the detailed valence-band struct
ure. Acoustic-phonon, nonpolar optical-phonon, alloy, and ionized-impu
rity scattering are included. It is demonstrated experimentally that t
he Hall factor can be reduced by a factor of 2 when alloying Si with G
e. Theoretically we have shown that the Hall factor is significantly r
educed because of the nonparabolic and nonspherical effects in the val
ence-band structure. The theory explains experimental results very wel
l. It is also shown that the low-temperature Hall factor is independen
t of scattering mechanisms. It depends only on the energy band structu
re.