Abstract
Ground-state σ0π2 carbenes are among the least explored and least understood classes of low-valent carbon. Known examples of isolable σ0π2 carbenes remain largely limited to cationic compounds. Here we report the synthesis of a neutral σ0π2 carbene, namely a rhodadiphosphinocarbene featuring a planar RhP2C ring. In sharp contrast to small-molecule activation by conventional σ2π0 carbenes, which typically proceeds via nucleophilicity-driven, π-face, non-least-motion trajectories mandated by orbital-symmetry constraints, this neutral σ0π2 carbene cleaves H2 under ambient conditions via a σ-face pathway. Computations reveal an electrophilicity-driven early transition state characterized by minimal reorganization of the carbene framework and a concerted yet asynchronous H–H scission to form two C–H bonds. These findings show that a stable carbene can enable small-molecule activation through a σ-face pathway and deepen our understanding of electronic structure–reactivity correlations in low-valent carbon chemistry.

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Data availability
Data supporting the findings of this study are provided in the Article or its Supplementary Information. Crystallographic data for the structures reported in this Article have been deposited at the Cambridge Crystallographic Data Centre, under deposition numbers CCDC 2483382 (2) and 2483383 (3a). Copies of the data can be obtained free of charge via https://www.ccdc.cam.ac.uk/structures. Underlying data for Fig. 3, Extended Data Figs. 1 and 2 are available from Figshare at https://doi.org/10.6084/m9.figshare.31908739 (ref. 86).
References
Sabatier, P. How I have been led to the direct hydrogenation method by metallic catalysts. Ind. Eng. Chem. 18, 1005–1008 (1926).
Bergius, F. Production of hydrogen from water and coal from cellulose at high temperatures and pressures. J. Soc. Chem. Ind. 32, 462–467 (1913).
Knowles, W. S. Asymmetric hydrogenation. Acc. Chem. Res. 16, 106–112 (1983).
Noyori, R. Asymmetric catalysis: science and opportunities (Nobel Lecture). Angew. Chem. Int. Ed. 41, 2008–2022 (2002).
Wilkinson, G. & Birmingham, J. M. Biscyclopentadienylrhenium hydride—a new type of hydride. J. Am. Chem. Soc. 77, 3421–3422 (1955).
Vaska, L. & DiLuzio, J. W. Activation of hydrogen by a transition metal complex at normal conditions leading to a stable molecular dihydride. J. Am. Chem. Soc. 84, 679–680 (1962).
Kubas, G. J., Ryan, R. R., Swanson, B. I., Vergamini, P. J. & Wasserman, H. J. Characterization of the first examples of isolable molecular hydrogen complexes, M(CO)3(PR3)2(H2) (M = molybdenum or tungsten; R = Cy or isopropyl). Evidence for a side-on bonded dihydrogen ligand. J. Am. Chem. Soc. 106, 451–452 (1984).
Kubas, G. J., Unkefer, C. J., Swanson, B. I. & Fukushima, E. Molecular hydrogen complexes of the transition metals. 4. Preparation and characterization of M(CO)3(PR3)2(η2-H2) (M = molybdenum, tungsten) and evidence for equilibrium dissociation of the H–H bond to give MH2(CO)3(PR3)2. J. Am. Chem. Soc. 108, 7000–7009 (1986).
Kubas, G. J. Fundamentals of H2 binding and reactivity on transition metals underlying hydrogenase function and H2 production and storage. Chem. Rev. 107, 4152–4205 (2007).
Crabtree, R. H. Dihydrogen complexation. Chem. Rev. 116, 8750–8769 (2016).
Lubitz, W., Ogata, H., Rüdiger, O. & Reijerse, E. Hydrogenases. Chem. Rev. 114, 4081–4148 (2014).
Kubas, G. J. Activation of dihydrogen and coordination of molecular H2 on transition metals. J. Organomet. Chem. 751, 33–49 (2014).
Power, P. P. Main-group elements as transition metals. Nature 463, 171–177 (2010).
Melen, R. L. Frontiers in molecular p-block chemistry: from structure to reactivity. Science 363, 479–484 (2019).
Spikes, G. H., Fettinger, J. C. & Power, P. P. Facile activation of dihydrogen by an unsaturated heavier main group compound. J. Am. Chem. Soc. 127, 12232–12233 (2005).
Welch, G. C., Juan, R. R. S., Masuda, J. D. & Stephan, D. W. Reversible, metal-free hydrogen activation. Science 314, 1124–1126 (2006).
Frey, G. D., Lavallo, V., Donnadieu, B., Schoeller, W. W. & Bertrand, G. Facile splitting of hydrogen and ammonia by nucleophilic activation at a single carbon center. Science 316, 439–441 (2007).
Fischer, R. C. & Power, P. P. π-Bonding and the lone pair effect in multiple bonds involving heavier main group elements: developments in the new millennium. Chem. Rev. 110, 3877–3923 (2010).
Power, P. P. An update on multiple bonding between heavier main group elements: the importance of pauli repulsion, charge-shift character, and london dispersion force effects. Organometallics 39, 4127–4138 (2020).
Hanusch, F., Groll, L. & Inoue, S. Recent advances of group 14 dimetallenes and dimetallynes in bond activation and catalysis. Chem. Sci. 12, 2001–2015 (2021).
Stephan, D. W. & Erker, G. Frustrated Lewis pairs: metal-free hydrogen activation and more. Angew. Chem. Int. Ed. 49, 46–76 (2010).
Stephan, D. W. The broadening reach of frustrated Lewis pair chemistry. Science 354, aaf7229 (2016).
Shan, C., Yao, S. & Driess, M. Where silylene–silicon centres matter in the activation of small molecules. Chem. Soc. Rev. 49, 6733–6754 (2020).
Hannah, T. J. & Chitnis, S. S. Ligand-enforced geometric constraints and associated reactivity in p-block compounds. Chem. Soc. Rev. 53, 764–792 (2024).
He, M., Hu, C., Wei, R., Wang, X.-F. & Liu, L. L. Recent advances in the chemistry of isolable carbene analogues with group 13–15 elements. Chem. Soc. Rev. 53, 3896–3951 (2024).
Hounjet, L. J. & Stephan, D. W. Hydrogenation by frustrated Lewis pairs: main group alternatives to transition metal catalysts?. Org. Process Res. Dev. 18, 385–391 (2014).
Stephan, D. W. Diverse uses of the reaction of frustrated Lewis pair (FLP) with hydrogen. J. Am. Chem. Soc. 143, 20002–20014 (2021).
Lam, J., Szkop, K. M., Mosaferi, E. & Stephan, D. W. FLP catalysis: main group hydrogenations of organic unsaturated substrates. Chem. Soc. Rev. 48, 3592–3612 (2019).
Kötting, C. & Sander, W. Insertion of difluorovinylidene into hydrogen and methane. J. Am. Chem. Soc. 121, 8891–8897 (1999).
Henkel, S., Ertelt, M. & Sander, W. Deuterium and hydrogen tunneling in the hydrogenation of 4-oxocyclohexa-2,5-dienylidene. Chem. Eur. J. 20, 7585–7588 (2014).
Henkel, S. & Sander, W. Activation of molecular hydrogen by a singlet carbene through quantum mechanical tunneling. Angew. Chem. Int. Ed. 54, 4603–4607 (2015).
Bhagat, V., Meisner, J. & Wagner, J. P. Hydrogen activation by a σσ*-carbene through quantum tunneling. J. Am. Chem. Soc. 147, 35275–35282 (2025).
Melaimi, M., Jazzar, R., Soleilhavoup, M. & Bertrand, G. Cyclic (alkyl)(amino)carbenes (CAACs): recent developments. Angew. Chem. Int. Ed. 56, 10046–10068 (2017).
Soleilhavoup, M. & Bertrand, G. Cyclic (alkyl)(amino)carbenes (CAACs): stable carbenes on the rise. Acc. Chem. Res. 48, 256–266 (2015).
Bourissou, D., Guerret, O., Gabbaï, F. P. & Bertrand, G. Stable carbenes. Chem. Rev. 100, 39–92 (2000).
Beeson, C. M. & Coryell, C. D. The diamagnetism of gaseous nitrosyl chloride. J. Chem. Phys. 6, 656–657 (1938).
Hine, J. in Advances in Physical Organic Chemistry (eds Gold, V. & Bethel, D.) 1–61 (Academic Press, 1977).
Reis, M. C., Alajarin, M. & Marin-Luna, M. Violations to the principle of least motion: the shortest path is not always the fastest. Phys. Chem. Chem. Phys. 24, 8064–8075 (2022).
Woodward, R. B. & Hoffmann, R. The conservation of orbital symmetry. Angew. Chem. Int. Ed. Engl. 8, 781–853 (1969).
Bauschlicher, C. W. Jr, Schaefer, H. F. III & Bender, C. F. The least-motion insertion reaction methylene(1A1) + molecular hydrogen.fwdarw. methane. Theoretical study of a process forbidden by orbital symmetry. J. Am. Chem. Soc. 98, 1653–1658 (1976).
Clewing, S. F. & Wagner, J. P. σ0π2 Singlet ground state carbenes undergo least-motion reactions with H2 and alkenes. J. Org. Chem. 86, 15247–15252 (2021).
Chen, B., Rogachev, A. Y., Hrovat, D. A., Hoffmann, R. & Borden, W. T. How to make the σ0π2 singlet the ground state of carbenes. J. Am. Chem. Soc. 135, 13954–13964 (2013).
Liu, Z. & Liu, L. L. Development and outlook of carbenes with inverted electronic configuration (σ0π2). Acta Chim. Sin. 83, 1025–1034 (2025).
Hu, C., Wang, X.-F., Li, J., Chang, X.-Y. & Liu, L. L. A stable rhodium-coordinated carbene with a σ0π2 electronic configuration. Science 383, 81–85 (2024).
Masuda, J. D. et al. Stable P-heterocyclic carbenes: scope and limitations. Chem. Asian J. 2, 178–187 (2007).
Tapu, D., Dixon, D. A. & Roe, C. 13C NMR spectroscopy of “Arduengo-type” carbenes and their derivatives. Chem. Rev. 109, 3385–3407 (2009).
Falivene, L. & Cavallo, L. Theoretical NMR spectroscopy of N-heterocyclic carbenes and their metal complexes. Coord. Chem. Rev. 344, 101–114 (2017).
Koritsanszky, T. S. & Coppens, P. Chemical applications of X-ray charge-density analysis. Chem. Rev. 101, 1583–1628 (2001).
Knizia, G. Intrinsic atomic orbitals: an unbiased bridge between quantum theory and chemical concepts. J. Chem. Theory Comput. 9, 4834–4843 (2013).
Knizia, G. & Klein, J. E. M. N. Electron flow in reaction mechanisms—revealed from first principles. Angew. Chem. Int. Ed. 54, 5518–5522 (2015).
Schreiner, P. R. Quantum mechanical tunneling is essential to understanding chemical reactivity. Trends Chem. 2, 980–989 (2020).
Grimme, S. Exploration of chemical compound, conformer, and reaction space with meta-dynamics simulations based on tight-binding quantum chemical calculations. J. Chem. Theory Comput. 15, 2847–2862 (2019).
Vermeeren, P., van der Lubbe, S. C. C., Fonseca Guerra, C., Bickelhaupt, F. M. & Hamlin, T. A. Understanding chemical reactivity using the activation strain model. Nat. Protoc. 15, 649–667 (2020).
Bickelhaupt, F. M. & Houk, K. N. Analyzing reaction rates with the distortion/interaction–activation strain model. Angew. Chem. Int. Ed. 56, 10070–10086 (2017).
Fernández, I. & Bickelhaupt, F. M. The activation strain model and molecular orbital theory: understanding and designing chemical reactions. Chem. Soc. Rev. 43, 4953–4967 (2014).
Sivak, A. & Muetterties, E. L. Metal clusters. 21. Synthesis of rhodium phosphite clusters. J. Am. Chem. Soc. 101, 4878–4887 (1979).
APEX suite of crystallographic software, APEX 3 version 2015.5-2 (Bruker AXS, 2015).
CCD, SAINT v8.40B (Bruker AXS, 2019).
Sheldrick, G. M. SHELXT-integrated space-group and crystal-structure determination. Acta Crystallogr. A 71, 3–8 (2015).
Sheldrick, G. M. Crystal structure refinement with SHELXL. Acta Crystallogr. C 71, 3–8 (2015).
Dolomanov, O. V., Bourhis, L. J., Gildea, R. J., Howard, J. A. K. & Puschmann, H. OLEX2: a complete structure solution, refinement and analysis program. J. Appl. Crystallogr. 42, 339–341 (2009).
Jelsch, C., Guillot, B., Lagoutte, A. & Lecomte, C. Advances in protein and small-molecule charge-density refinement methods using MOPro. J. Appl. Crystsllogr. 38, 38–54 (2005).
Hansen, N. K. & Coppens, P. Testing aspherical atom refinements on small-molecule data sets. Acta Crystallogr. A 34, 909–921 (1978).
Guillot, B., Viry, L., Guillot, R., Lecomte, C. & Jelsch, C. Refinement of proteins at subatomic resolution with MOPro. J. Appl. Crystallogr. 34, 214–223 (2001).
Frisch, M. J. et al. Gaussian 16 rev. B.01 (Gaussian, Inc., 2016).
Lee, C., Yang, W. & Parr, R. G. Development of the Colle–Salvetti correlation-energy formula into a functional of the electron density. Phys. Rev. B 37, 785–789 (1988).
Stephens, P. J., Devlin, F. J., Chabalowski, C. F. & Frisch, M. J. Ab initio calculation of vibrational absorption and circular dichroism spectra using density functional force fields. J. Phys. Chem. 98, 11623–11627 (1994).
Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104–154133 (2010).
Grimme, S. Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J. Comput. Chem. 27, 1787–1799 (2006).
Grimme, S. Accurate description of van der Waals complexes by density functional theory including empirical corrections. J. Comput. Chem. 25, 1463–1473 (2004).
Deng, L., Ziegler, T. & Fan, L. A combined density functional and intrinsic reaction coordinate study on the ground state energy surface of H2CO. J. Chem. Phys. 99, 3823–3835 (1993).
Deng, L. & Ziegler, T. The determination of intrinsic reaction coordinates by density functional theory. Int. J. Quantum Chem. 52, 731–765 (1994).
Glendening, E. D. et al. NBO 7.0 (Univ. of Wisconsin, 2018).
Neese, F. The ORCA program system.Wiley Interdiscip. Rev. Comput. Mol. Sci. 2, 73–78 (2012).
Legault, C. Y. CYLview, 1.0b https://www.cylview.org (Univ. de Sherbrooke, 2009).
Andrienko, G. A. ChemCraft http://www.chemcraftprog.com (2024).
O’Boyle, N. M., Tenderholt, A. L. & Langner, K. M. cclib: a library for package-independent computational chemistry algorithms. J. Comput. Chem. 29, 839–845 (2008).
Savin, A., Nesper, R., Wengert, S. & Fässler, T. F. ELF: the electron localization function. Angew. Chem. Int. Ed. 36, 1808–1832 (1997).
van Gisbergen, S., Snijders, J. & Ziegler, T. Chemistry with ADF. J. Comput. Chem. 22, 931–967 (2001).
Chai, J. D. & Head-Gordon, M. Systematic optimization of long-range corrected hybrid density functionals. J. Chem. Phys. 128, 084106 (2008).
Klamt, A. & Schüürmann, G. COSMO: A new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient. J. Chem. Soc. Perkin Trans. 2, 799–805 (1993).
Andzelm, J., Kölmel, C. & Klamt, A. Incorporation of solvent effects into density functional calculations of molecular energies and geometries. J. Chem. Phys. 103, 9312–9320 (1995).
Barone, V. & Cossi, M. J. Quantum calculation of molecular energies and energy gradients in solution by a conductor solvent model. Phys. Chem. A 102, 1995–2001 (1998).
Cossi, M., Rega, N., Scalmani, G. & Barone, V. Energies, structures, and electronic properties of molecules in solution with the C-PCM solvation model. J. Comput. Chem. 24, 669–681 (2003).
Hanwell, M. D. et al. Avogadro: an advanced semantic chemical editor, visualization, and analysis platform. J. Cheminform. 4, 17 (2012).
Fan, F., Nong, H., Zhou, M. & Liu, L. L. A neutral σ0π2 carbene enabling hydrogen activation via a σ-face pathway. Figshare https://doi.org/10.6084/m9.figshare.31908739 (2026).
Acknowledgements
We thank the financial support from the National Natural Science Foundation of China (grants 22350004, 22271132 and 22501124), the Shenzhen Science and Technology Program (grant KQTD20240729102027009) and Guangdong Innovation and Entrepreneurial Research Team Program (grant 2021ZT09C278). We also acknowledge support from the SUSTech Core Research Facilities. F.F. thanks financial support from the China Postdoctoral Fellowship Program of CPSF (GZC20250636). The theoretical work was supported by the Center for Computational Science and Engineering at SUSTech. We thank X. Chang and Q. Liang for helpful discussions and assistance with crystallographic analysis.
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F.F. and H.N. contributed equally to this work. L.L.L. conceptualized and supervised the project. F.F. performed the experimental work. L.L.L., H.N., M.Z. and F.F. performed the computational work. F.F. and M.Z. performed the X-ray crystallographic analyses. L.L.L. wrote the paper with input from all authors. All authors discussed the results in detail and commented on the paper.
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Extended data
Extended Data Fig. 1 Electron localization function (ELF) analysis of the CP2Rh plane in compound 2.
a, Top view, showing minimal electron localization at the carbene carbon along the σ-orbital direction, consistent with a σ0 electronic configuration. b, Side view, revealing two symmetric regions of high ELF above and below the carbene carbon, indicative of a π2 electronic configuration.
Extended Data Fig. 2 Kinetic studies.
a, Full time-course kinetics of D2. b, Kinetic isotope effect (KIE) determined from the initial-rate regime (KIE = 1.52).
Extended Data Fig. 3 Natural localized molecular orbital (NLMO) analysis of transition state TS1.
Two dominant donor–acceptor interactions are identified: σ(H–H) → σ0 (carbene) donation (left) and π2 (carbene) → σ*(H–H) back-donation (right), highlighting the cooperative σ-donation/π-back-donation manifold operative in H–H activation. Mesityl substituents were simplified to methyl groups for clarity.
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Supplementary Figs. 1–55, SupplementaryTables 1–12. Supplementary Materials and methods, Experimental details and characterization data, and Computational details.
Supplementary Data 1
Cartesian coordinates for all calculated structures, including the SCF energies and free energies.
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Fan, F., Nong, H., Zhou, M. et al. A neutral σ0π2 carbene enabling hydrogen activation via a σ-face pathway. Nat. Chem. (2026). https://doi.org/10.1038/s41557-026-02147-0
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DOI: https://doi.org/10.1038/s41557-026-02147-0


