## Abstract

The lattice energies of [H_{2}GaNH_{2}]_{3}, [H_{2}BNH_{2}]_{3} and [H_{2}GeCH_{2}]_{3} in their experimentally determined space groups, P2_{1}/m, Pmn2_{1} and Pbcm, respectively, were calculated using density functional methods for periodic structures with the ab initio periodic code CRYSTAL17. Using the basis set pob-TZVP for all calculations, B3LYP including Grimme's D3 dispersion correction was found to reproduce experimental bond distances and angles most accurately. CRYSTAL17 was also used to optimize geometries and calculate energies of the molecular structures in the gas phase. While the chair conformation of the six-membered rings is found in all of the crystals, only [H_{2}GeCH_{2}]_{3} retains this as the preferred conformation in the gas phase. By contrast, a twist-boat conformation is preferred for both [H_{2}GaNH_{2}]_{3} and [H_{2}BNH_{2}]_{3} in the gas phase, and thus a correction for this change in conformation must be included in corresponding sublimation enthalpy calculations. In addition to the D3 dispersion correction, all lattice energies included a correction for basis set superposition error. The lattice energies for [H_{2}GaNH_{2}]_{3}, [H_{2}BNH_{2}]_{3} and [H_{2}GeCH_{2}]_{3} were 153.5, 120.8 and 84.9 kJ mol^{-1}, respectively. These values were used to calculate the sublimation enthalpies, which exhibited good agreement for the single case where an experimental measurement is available, namely [H_{2}BNH_{2}]_{3} (exp ΔH_{sub}(298), 119 ± 12 kJ mol^{-1}; calcd, 119.4 kJ mol^{-1}). The energetic impact of the crystal structure was assessed by minimizing the structures of each molecule in each of the three space groups spanned by them experimentally and calculating their respective lattice energies. In every case, the experimentally observed space group was the one computed to be the most stable.

Original language | English (US) |
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Pages (from-to) | 29448-29455 |

Number of pages | 8 |

Journal | RSC Advances |

Volume | 9 |

Issue number | 50 |

DOIs | |

State | Published - 2019 |

### Bibliographical note

Funding Information:This work was funded in part by a grant from the National Science Foundation (DMR 1607318). The authors acknowledge the Minnesota Supercomputing Institute (MSI) at the University of Minnesota for providing resources that contributed to the research results reported within this paper.

Publisher Copyright:

© The Royal Society of Chemistry.

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