  We report a measurement of the longitudinal alignment $A_L$ of the recoil
nucleus in the $\mu^- + ^{14}$N$(1^+, 0)$ $\to$ $\nu_{\mu} + ^{14}$C$(2^+,
7012)$ transition. The experiment was performed on the M9B beamline at the
TRIUMF cyclotron via the measurement of the Doppler lineshape of the subsequent
$^{14}$C$(2^+, 7012)$ $\to$ $^{14}$C$(0^+, 0)$ gamma-rays. We compare our
result $A_L = 0.60 \pm 0.11$ to various model calculations, and discuss the
sensitivity to the induced pseudoscalar coupling, second-forbidden effects and
$2 \hbar \omega$ wavefunction admixtures.
