Theoretical study of the electronic structure of hafnium <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Hf</mml:mi><mml:mo>,</mml:mo><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mn>72</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> and rutherfordium <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Rf</mml:mi><mml:mo>,</mml:mo><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:…

Energy levels, magnetic dipole, and electric quadrupole hyperfine structure of the superheavy element rutherfordium (Rf, $Z$=104) its first three ions are calculated using a combination configuration interaction, coupled-cluster single-doubles, many-body perturbation theory techniques. The results to be used in future interpretations measurements terms nuclear dipole momenta. To have guide on accuracy study, we perform similar calculations for hafnium (Hf, $Z$=72) ions. Hf is lighter analog Rf with electronic structure. Good agreement experiment available previous energy levels demonstrated.