A theory of anisotropic size effects (ASE) in pure bulk single crystal
s of Bi-type semimetals al helium temperatures in arbitrary magnetic f
ields has been developed. In the model of three electron and one hole
valleys, the expressions for the 'quasi-Hall transverse electric field
, the magnetoconductivity. the magneto-thermoelectric power of phonon
drag, and the transverse Nernst - Ettingsgausen effect have been obtai
ned. Quantum oscillations of the kinetic coefficients of the semimetal
s associated with ASE have been investigated. It has been demonstrated
that temperature dependence of the amplitude of these oscillations is
significantly different from Shubnikov - de Haas and magnetophonon re
sonance oscillations. In compensated materials the oscillations of tra
nsverse magnetoresistance and longitudinal thermoelectromotive force o
f the phonon drag are gigantic.