The influence of the insonation conditions of short-pulse and low-duty diagnostic ultrasound on the characteristics of microbubble volumetric oscillations in the initial bubble radius range from 0.2 to 2.0 micro meters has been numerically investigated by using a recent single bubble oscillation model. The results show that increasing insonation center frequencies with the constant values of the mechanical index reduces the maximum values of both of the in-bubble temperatures and the bubble-emitted sound pressures; increasing the values of that index with constant center frequencies reduces the resonant bubble radii; the maximum in-bubble temperatures and bubble-emitted pressures are correlated with the normalized minimum bubble radii more significantly than the normalized maximum radii.