Boron in diamond traps hydrogen forming passive Bₛ-H pairs. Boron trapping two deuterium atoms has been speculated as forming a shallow donor (0.23--0.34 eV below the conduction band). We present the results of first-principles calculations of boron complexes with 2--4 hydrogen atoms. The binding energy of the second and subsequent H atoms is small and none of the structures found are shallow donors. We also present the structure of interstitial boron, the boron-vacancy complex, and their interaction with hydrogen.
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Goss et al. (2004) studied this question.