We present recent work resulting in the production of ultracold, polar RbCs molecules in their vibronic ground state. The production process consists of several steps: photoassociation of laser-cooled atoms; radiative stabilization of the resulting molecules; identification of the resulting population distribution; and laser-stimulated state transfer to the vibrational ground state. We discuss the properties of the resulting sample of of X~1 Σ~+ (υ = 0) molecules, with a view to the future directions of these experiments.
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