For the same clump mass range mentioned for rΩ above, rvir spans from 5.1 to 23.8 pc. This is an important aspect to keep in mind as there is no evidence for YMCs to have a proportionality between mass and radius.

\(\int_{\eta}=\frac{\pi^{1/2}{m_e^{1/2}}Ze^2c^2}{\gamma E^8 {(2{k_B}T)}^{3/2}}\ln{\Lambda \approx {7 \times 10^{11}}}\)