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Data · dataset · 2026

Rotational Spectroscopy and Partial Semi-Experimental Equilibrium (r<sub>e</sub><sup>SE</sup>) and Substitution (r<sub>s</sub><sup>SE</sup>) Structures of Cyclobutenone (c‑C<sub>4</sub>H<sub>4</sub>O)

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Description

Partial semi-experimental equilibrium (<i>r</i><sub><i>e</i></sub><sup>SE</sup>) and substitution (<i>r</i><sub><i>s</i></sub><sup>SE</sup>) structures of cyclobutenone (<i>c</i>-C<sub>4</sub>H<sub>4</sub>O, <i>C</i><sub><i>s</i></sub>, <i>μ</i><sub><i>a</i></sub> = 3.4 D) have been determined for the first time via rotational spectroscopy. The rotational spectrum of this reactive species, which contains a highly strained four-membered ring, has been measured from 9 to 735 GHz.

Over 3800 transitions for the ground vibrational state of the normal isotopologue of cyclobutenone were measured, assigned, and least-squares fit to sextic distorted-rotor A- and S-reduced Hamiltonians in the I<sup><i>r</i></sup> representation, providing a complete set of quartic and sextic centrifugal distortion parameters. Rotational transitions for each of the singly substituted heavy-atom isotopologues were measured at natural abundance.

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Rotational constants (<i>B</i><sub>0</sub>) for the six isotopologues were converted to equilibrium values (<i>B</i><sub><i>e</i></sub>) using CCSD(T)/cc-pCVTZ vibration-rotation interaction and electron-mass corrections, enabling the determination of partial <i>r</i><sub><i>e</i></sub><sup>SE</sup> and <i>r</i><sub><i>s</i></sub><sup>SE</sup> structures that define all of the heavy-atom parameters of cyclobutenone. The two different sets of semi-experimental structural parameters (<i>r</i><sub><i>e</i></sub><sup>SE</sup> and <i>r</i><sub><i>s</i></sub><sup>SE</sup>) are compared to the “best theoretical estimate” (BTE <i>r</i><sub><i>e</i></sub>) values, which are derived from the CCSD(T)/cc-pCV5Z <i>r</i><sub><i>e</i></sub> structure with additional corrections addressing finite basis set, higher-level electron correlation, and relativistic effects, as well as incorporating the diagonal Born–Oppenheimer correction.

Additionally, transitions of the four lowest-energy vibrationally excited states have been assigned, measured, and least-squares fit to A-reduced, sextic centrifugally distorted-rotor Hamiltonians in the I<sup><i>r</i></sup> representation. While ν<sub>21</sub> was well-modeled using a single-state Hamiltonian, 2ν<sub>21</sub>, ν<sub>14</sub>, and ν<sub>20</sub> form an anharmonic- and Coriolis-coupled triad and were treated by a three-state Hamiltonian model.

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