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Abstract. We present the first laboratory measurements of the hyperfine structure of the J = 1 ← 0 rotational transition of N 2 D + , a good tracer of the dense regions of molecular cloud cores, and the spectra of unresolved high J transitions recorded in the 308−463 GHz region. Together with a high sensitivity radio-astronomical spectrum of the N 2 D + J = 1 → 0 rotational transition in a quiescent cloud core, we determined with high precision the frequencies of the seven hyperfine components and the molecular spectroscopic constants, allowing us to make predictions on the N 2 D + frequencies of higher J transitions occurring in the submillimeter-wave region.

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