Triaxial shape with rotation around the longest principal axis in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Gd</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>142</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

The cranking model is used to describe rotational bands. We investigate the approach of using diabatic configurations and minimizing the particle-number projected energy in a mesh of both $\ensuremath{\lambda},\ensuremath{\Delta}$ and deformation parameters. We use the method to interpret recent experimental data in $^{142}\mathrm{Gd}$ and conclude that for the highest spin states observed ($I\ensuremath{\approx}30$), the nucleus is triaxial and builds spin by rotating around the classically unfavored longest axis.

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