g-factors of rotational states in176Hf,177Hf,and180Hf

g-factors of rotational states in¹⁷⁶Hf and¹⁸⁰Hf were measured with the twelve detector IPAC-apparatus of our laboratory [1]. The natural radioactivity 3.78·10¹⁰y¹⁷⁶Lu and the 5.5 h isomer^180mHf were used which populate the ground-state rotational bands of¹⁷⁶Hf and¹⁸⁰Hf. The integral rotations ofγ-γ directional correlations in strong external magnetic fields and in static hyperfine fields of (Lu→Hf)Fe₂ and HfFe₂ were observed. The following results were obtained: $$begin{array}{l} ^{176} Hf: gleft( {4_1^ + } right) = + 0.334left( {38} right) ^{180} Hf: gleft( {2_1^ + } right) = + 0.305left( {14} right) gleft( {4_1^ + } right) = + 0.358left( {43} right) {{ gleft( {6_1^ + } right)} mathord{left/ {vphantom {{ gleft( {6_1^ + } right)} {gleft( {4_1^ + } right)}}} right. kern-nulldelimiterspace} {gleft( {4_1^ + } right)}} = + 0.95left( {12} right) end{array}$$ . The hyperfine field in (Lu→Hf)Fe₂ was calibrated by observing the integral rotation of the 9/2^? first excited state of¹⁷⁷Hf populated in the decay of 6.7d¹⁷⁷Lu. Theg-factor of this state was redetermined in an external magnetic field as $$^{177} Hf: gleft( {{9 mathord{left/ {vphantom {9 {2^ - }}} right. kern-nulldelimiterspace} {2^ - }}} right) = + 0.228left( 7 right)$$ . Finally theg-factor of the 2 ₁ ⁺ state of¹⁷⁶Hf was derived from the measuredg(2 ₁ ⁺ ) of¹⁸⁰Hf by use of the precisely known ratiog(2 ₁ ⁺ ,¹⁷⁶Hf)/g(2 ₁ ⁺ ,¹⁸⁰Hf) [2] as $$^{176} Hf: gleft( {2_1^ + } right) = + 0.315left( {30} right)$$ .