  By using magnetization and small-angle neutron scattering (SANS)
measurements, we have investigated the magnetic behavior of Mn_{1-x}Ir_{x}Si
system to explore the effect of increased carrier density and spin-orbit
interaction on the magnetic properties of MnSi. We determine estimates of the
spin wave stiffness and the Dzyalloshinski-Moria, DM, interaction strength and
compare with Mn_{1-x}Co_{x}Si and Mn_{1-x}Fe_{x}Si. Despite the large
differences in atomic mass and size of the substituted elements,
Mn_{1-x}Co_{x}Si and Mn_{1-x}Ir_{x}Si show nearly identical variations in their
magnetic properties with substitution. We find a systematic dependence of the
transition temperature, the ordered moment, the helix period and the DM
interaction strength with electron count for Mn{1-x}Ir{x}Si, Mn_{1-x}Co_{x}Si,
and Mn_{1-x}Fe_{x}Si indicating that the magnetic behavior is primarily
dependent upon the additional carrier density rather than on the mass or size
of the substituting species. This indicates that the variation in magnetic
properties, including the DM interaction strength, are primarily controlled by
the electronic structure as Co and Ir are isovalent. Our work suggests that
although the rigid band model of electronic structure along with Moira's model
of weak itinerant magnetism describe this system surprisingly well,
phenomenological models for the DM interaction strength are not adequate to
describe this system.
