$v, \chi$ (or $u, \varphi$ or $w, \vartheta$ or $u_0$): $K^\pi=1^-$ (or $2^-$ or $3^-$ or $2^+$, respectively). This result is independent of the form of the function $f(\beta_2, \beta_3)$ of Eq. \[E:2.3\] (which, actually, was left undetermined in I).

The kinetic energy operator
---------------------------

The classical expression of the kinetic energy has the form $$T=\frac{1}{2}\sum \mathcal{G}_{\mu \nu}\dot{\xi}_\mu\dot{\xi}_nu
\label{E:2.6}$$ where $\dot{\xi}\equiv (\dot{\beta}_2,\dot{\beta_3},\dot{u_0},
 \dot{v},\dot{\chi},\dot{u},\dot{\varphi},\dot{w},\dot{\vartheta},
q_1,q_2,q_3)$ and $q_1$, $q_2$, $q_3$ are the components of the angular velocity along the three axes of the intrinsic reference frame. As in I, we adopt here the convention of including the inertial coefficient $B_\lambda$ in our amplitudes $a^{(\lambda)}_\mu$, that therefore would correspond to $\sqrt{B_\lambda}a^{(\lambda)}_\mu$ in the usual notations of Bohr.

                       $\dot{\beta_2}$   $\dot{\beta_3}$        $\dot{u_0}$         $\dot{v}$   $\dot{u}$   $\dot{w}$   $\dot{\varphi} $   $\dot{\chi}$   $\dot{\vartheta}$        $q_1$              $q_2$              $q_3$
  ------------------- ----------------- ----------------- ------------------------ ----------- ----------- ----------- ------------------ -------------- ------------------- ------------------ ------------------ ------------------
  $\dot{\beta_2}$             1                 0                    0                  0           0           0              0                0                 0                  0                  0                  0
  $\dot{\beta}_3$             0                 1                    0                  0           0           0              0                0                 0                  0                  0                  0
  $\dot{u_0}$                 0                 0          $f^2(\beta_2,\beta_3)$       0           0           0              0                0                 0                  0                  0                  0
  $\dot{v}$                   0                 0                    0                  2           0           0              0                0                 0                  0                  0                  0
  $\dot{u}$                   0                 0                    0                  0           2           0              0                