In order to clarify the tension between estimates of the Hubble Constant ( H _ { 0 } ) from local ( z \ll 1 ) and global ( z \gg 1 ) measurements , Lima and Cunha ( LC ) proposed a new method to measure H _ { 0 } in intermediate redshifts ( z \approx 1 ) , which were obtained H _ { 0 } = 74.1 \pm 2.2 km s ^ { -1 } Mpc ^ { -1 } ( 1 \sigma ) , in full agreement to local measurements via Supernovae/Cepheid dataset .
However , Holanda et al . ( 2014 ) affirm that a better understanding of the morphology of galaxy clusters in LC framework is needed to a more robust and accurate determination of H _ { 0 } .
Moreover , that kind of sample has been strongly questioned in the literature .
In this context , ( i ) we investigated if the sample of galaxy clusters used by LC has a relevant role in their results , then ( ii ) we perform a more accurate and competitive determination of H _ { 0 } in intermediate redshifts , free of unknown systematic uncertainties .
First , we found that the exclusion of the sample of galaxy clusters from the determination initially proposed by LC leads to significantly different results .
Finally , we performed a new determination in H _ { 0 } , where we obtained H _ { 0 } = 68.00 \pm 2.20 km s ^ { -1 } Mpc ^ { -1 } ( 1 \sigma ) with statistical and systematic errors and H _ { 0 } = 68.71 ^ { +1.37 } _ { -1.45 } km s ^ { -1 } Mpc ^ { -1 } ( 1 \sigma ) with statistical errors only .
Contrary to those obtained by LC , these values are in full harmony with the global measurements via Cosmic Microwave Background ( CMB ) radiation and to the other recent estimates of H _ { 0 } in intermediate redshifts .

Journal reference [ ] G. Pordeus da Silva and A. G. Cavalcanti , Brazilian Journal of Physics 48 , 521 ( 2018 ) .