  We predict that ultralong-range Rydberg bi-molecules form in collisions
between polar molecules in cold and ultracold settings. The collision of
$\Lambda$-doublet nitric oxide (NO) with long-lived Rydberg NO($nf$, $ng$)
molecules forms ultralong-range Rydberg bi-molecules with GHz energies and
kilo-Debye permanent electric dipole moments. The Hamiltonian includes both the
anisotropic charge-molecular dipole interaction and the electron-NO scattering.
The rotational constant for the Rydberg bi-molecules is in the MHz range,
allowing for microwave spectroscopy of rotational transitions in Rydberg
bi-molecules. Considerable orientation of NO dipole can be achieved. The
Rydberg molecules described here hold promise for studies of a special class of
long-range bi-molecular interactions.
