Highly accurate CCSD(T) homolytic Al–H bond dissociation enthalpies – chemical insights and performance of density functional theory
Robert J. O’Reilly A * and Amir Karton A *A School of Science and Technology, University of New England, Armidale, NSW 2351, Australia.
Handling Editor: George Koutsantonis
Abstract
We obtain gas-phase homolytic Al–H bond dissociation enthalpies (BDEs) at the CCSD(T)/CBS level for a set of neutral aluminium hydrides (which we refer to as the AlHBDE dataset). The Al–H BDEs in this dataset differ by as much as 79.2 kJ mol−1, with (H2B)2Al–H having the lowest BDE (288.1 kJ mol−1) and (H2N)2Al–H having the largest (367.3 kJ mol−1). These results show that substitution with at least one –AlH2 or –BH2 substituent exerts by far the greatest effect in modifying the Al–H BDEs compared with the BDE of monomeric H2Al–H (354.3 kJ mol−1). To facilitate quantum chemical investigations of large aluminium hydrides, for which the use of rigorous methods such as W2w may not be computationally feasible, we assess the performance of 53 density functional theory (DFT) functionals. We find that the performance of the DFT methods does not strictly improve along the rungs of Jacob’s Ladder. The best-performing methods from each rung of Jacob’s Ladder are (mean absolute deviations are given in parentheses): the GGA B97-D (6.9), the meta-GGA M06-L (2.3), the global hybrid-GGA SOGGA11-X (3.3), the range-separated hybrid-GGA CAM-B3LYP (2.1), the hybrid-meta-GGA ωB97M-V (2.5) and the double-hybrid methods mPW2-PLYP and B2GP-PLYP (4.1 kJ mol−1).
Keywords: aluminium hydrides, bond dissociation energy, CCSD(T), density functional theory, DFT, free radicals, hydrogen storage, W2 theory.
References
1 Galatsis P, Sollogoub M, Sinay P. Diisobutylaluminum hydride. Encyclopedia of Reagents for Organic Synthesis. John Wiley & Sons, Ltd; 2008. 10.1002/047084289X.rd245.pub2
2 Weiser V, Eisenreich N, Koleczko A, Roth E. On the Oxidation and Combustion of AlH3 a Potential Fuel for Rocket Propellants and Gas Generators. Propellants Explos Pyrotech 2007; 32: 213-221.
| Crossref | Google Scholar |
3 Graetz J, Reilly JJ, Yartys VA, Maehlen JP, Bulychev BM, Antonov VE, Tarasov BP, Gabis IE. Aluminum hydride as a hydrogen and energy storage material: Past, present and future. J Alloys Compd 2011; 509: S517-S528.
| Crossref | Google Scholar |
4 Hua TQ, Ahluwalia RK. Alane hydrogen storage for automotive fuel cells – Off-board regeneration processes and efficiencies. Int J Hydrog Energy 2011; 36: 15259-15265.
| Crossref | Google Scholar |
5 Anders M, Schwarzer A, Brendler E, Pollex R, Schumann E, Sandig‐Predzymirska L, Kaiser S, Mertens F. Bis-(triphenylphosphane) Aluminum Hydride: A Simple Way to Provide, Store, and Use Non-Polymerized Alane for Synthesis. ChemPlusChem 2021; 86: 1193-1198.
| Crossref | Google Scholar |
6 Wilson KE, Seidner RT, Masamune S. Selective reduction of 2-ene-1,4-diones and 2-en-1-ones with di-i-butylaluminium hydride. J Chem Soc D 1970; 213b-214.
| Crossref | Google Scholar |
7 Daniewski AR, Wojciechowska W. Synthesis of the corticoid side chain. J Org Chem 1982; 47: 2993-2995.
| Crossref | Google Scholar |
8 Lenox RS, Katzenellenbogen JA. Stereoselective method for the synthesis of both olefinic isomers from a single precursor. The Conjugate reduction of α,β-unsaturated epoxides. J Am Chem Soc 1973; 95: 957-959.
| Crossref | Google Scholar |
9 Morelli CF, Fornili A, Sironi M, Durì L, Speranza G, Manitto P. Evidence for a nucleophilic anti-attack on the cleaved C(2)–oxygen bond in Cl2AlH-catalyzed ring-opening of 2-substituted 1,3-dioxolanes. Tetrahedron Lett 2005; 46: 1837-1840.
| Crossref | Google Scholar |
10 Himmel HJ, Klaus C. Photolytically Induced Reaction of Monomeric AlCl with Dihydrogen in a Solid Ar Matrix at 12 K: Generation and Characterization of the Previously Unknown Monomeric Aluminium Hydride ClAlH2. Z Anorg Allg Chem 2003; 629: 1477-1483.
| Crossref | Google Scholar |
12 Knight Jr LB, Woodward JR, Kirk TJ, Arrington CA. Electron spin resonance investigations of aluminum hydrides (AlH2, AlHD, AlD2), and aluminum hydroxides (Al(OH)2, and Al(OD)2) in neon matrixes at 4 K; comparisons with ab initio theoretical calculations. J Phys Chem 1993; 97: 1304-1311.
| Crossref | Google Scholar |
13 Pullumbi P, Mijoule C, Manceron L, Bouteiller Y. Aluminium, gallium and indium dihydrides. An IR matrix isolation and ab initio study. Chem Phys 1994; 185: 13-24.
| Crossref | Google Scholar |
14 Parnis JM, Ozin GA. Photochemical reactions of matrix-isolated aluminum atoms with methane and molecular hydrogen. 3. Structure, bonding and reactivity. J Phys Chem 1989; 93: 1220-1225.
| Crossref | Google Scholar |
15 Lanzisera DV, Andrews L. Reactions of Laser-Ablated Aluminum Atoms with Ammonia. Infrared Spectra of HAlNH2, AlNH2, and HAlNH in Solid Argon. J Phys Chem A 1997; 101: 5082-5089.
| Crossref | Google Scholar |
16 Himmel H-J, Downs AJ, Greene TM. Thermal and Photochemical Reactions of Aluminum, Gallium, and Indium Atoms (M) in the Presence of Ammonia: Generation and Characterization of the Species M·NH3, HMNH2, MNH2, and H2MNH2. J Am Chem Soc 2000; 122: 9793-9807.
| Crossref | Google Scholar |
17 Gaertner B, Himmel H-J. Structure and Bonding in the Aluminum Radical Species Al·NH3, HAlNH2, HAlNH2·NH3, and Al(NH2)2 Studied by Means of Matrix IR Spectroscopy and Quantum Chemical Calculations. Inorg Chem 2002; 41: 2496-2504.
| Crossref | Google Scholar |
18 Himmel H-J, Downs AJ, Green JC, Greene TM. Compounds featuring a bond between a Group 13 (M) and a Group 15 element (N or P) and with the formulae HmMNHn and HmMPHn: structural aspects and bonding. J Chem Soc Dalton Trans 2001; 535-545.
| Crossref | Google Scholar |
19 Himmel H-J, Downs AJ, Greene TM. Reactions of aluminum, gallium, and indium (M) atoms with phosphine: generation and characterization of the species M·PH3, HMPH2, and H2MPH. Inorg Chem 2001; 40: 396-407.
| Crossref | Google Scholar |
20 Hauge RH, Kauffman JW, Margrave JL. Infrared matrix-isolation studies of the interactions and reactions of Group 3A metal atoms with water. J Am Chem Soc 1980; 102: 6005-6011.
| Crossref | Google Scholar |
21 Zhao J, Wang Q, Yu W, Huang T, Wang X. M–S Multiple Bond in HMSH, H2MS, and HMS Molecules (M = B, Al, Ga): Matrix Infrared Spectra and Theoretical Calculations. J Phys Chem A 2018; 122: 8626-8635.
| Crossref | Google Scholar |
22 Dunning Jr TH. Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen. J Chem Phys 1989; 90: 1007-1023.
| Crossref | Google Scholar |
23 Wilson AK, Woon DE, Peterson KA, Dunning Jr TH. Gaussian basis sets for use in correlated molecular calculations. IX. The atoms gallium through krypton. J Chem Phys 1999; 110: 7667-7676.
| Crossref | Google Scholar |
24 Karton A. A computational chemist’s guide to accurate thermochemistry for organic molecules. WIREs Comput Mol Sci 2016; 6: 292-310.
| Crossref | Google Scholar |
25 Douglas M, Kroll NM. Quantum electrodynamical corrections to the fine structure of helium. Ann Phys 1974; 82: 89-155.
| Crossref | Google Scholar |
26 Hess BA. Applicability of the no-pair equation with free-particle projection operators to atomic and molecular structure calculations. Phys Rev A 1985; 32: 756-763.
| Crossref | Google Scholar |
27 Merrick JP, Moran D, Radom L. An evaluation of harmonic vibrational frequency scale factors. J Phys Chem A 2007; 111: 11683-11700.
| Crossref | Google Scholar |
28 Lee C, Yang W, Parr RG. Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. Phys Rev B 1988; 37: 785-789.
| Crossref | Google Scholar |
29 Becke AD. Density-functional exchange-energy approximation with correct asymptotic behavior. Phys Rev A 1988; 38: 3098-3100.
| Crossref | Google Scholar |
30 Grimme S. Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J Comput Chem 2006; 27: 1787-1799.
| Crossref | Google Scholar |
31 Boese AD, Handy NC. A new parametrization of exchange–correlation generalized gradient approximation functionals. J Chem Phys 2001; 114: 5497-5503.
| Crossref | Google Scholar |
32 Perdew JP, Burke K, Ernzerhof M. Generalized Gradient Approximation Made Simple. Phys Rev Lett 1996; 77: 3865-3868.
| Crossref | Google Scholar |
33 Ernzerhof M, Perdew JP. Generalized gradient approximation to the angle- and system-averaged exchange hole. J Chem Phys 1998; 109: 3313-3320.
| Crossref | Google Scholar |
34 Perdew JP. Density-functional approximation for the correlation energy of the inhomogeneous electron gas. Phys Rev B 1986; 33: 8822-8824.
| Crossref | Google Scholar |
35 Perdew JP, Chevary JA, Vosko SH, Jackson KA, Pederson MR, Singh DJ, Fiolhais C. Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. Phys Rev B 1992; 46: 6671-6687.
| Crossref | Google Scholar |
36 Zhao Y, Truhlar DG. A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions. J Chem Phys 2006; 125: 194101.
| Crossref | Google Scholar |
37 Tao J, Perdew JP, Staroverov VN, Scuseria GE. Climbing the Density Functional Ladder: Nonempirical Meta–Generalized Gradient Approximation Designed for Molecules and Solids. Phys Rev Lett 2003; 91: 146401.
| Crossref | Google Scholar |
38 Boese AD, Handy NC. New exchange-correlation density functionals: The role of the kinetic-energy density. J Chem Phys 2002; 116: 9559-9569.
| Crossref | Google Scholar |
39 van Voorhis T, Scuseria GE. A novel form for the exchange-correlation energy functional. J Chem Phys 1998; 109: 400-410.
| Crossref | Google Scholar |
40 Peverati R, Truhlar DG. M11-L: A Local Density Functional That Provides Improved Accuracy for Electronic Structure Calculations in Chemistry and Physics. J Phys Chem Lett 2012; 3: 117-124.
| Crossref | Google Scholar |
41 Peverati R, Truhlar DG. An improved and broadly accurate local approximation to the exchange–correlation density functional: The MN12-L functional for electronic structure calculations in chemistry and physics. Phys Chem Chem Phys 2012; 14: 13171-13174.
| Crossref | Google Scholar |
42 Yu HS, He X, Li SL, Truhlar DG. MN15: A Kohn–Sham global-hybrid exchange–correlation density functional with broad accuracy for multi-reference and single-reference systems and noncovalent interactions. Chem Sci 2016; 7: 5032-5051.
| Crossref | Google Scholar |
43 Furness JW, Kaplan AD, Ning J, Perdew JP, Sun J. Accurate and numerically efficient r2SCAN meta-generalized gradient approximation. J Phys Chem Lett 2020; 11: 8208-8215.
| Crossref | Google Scholar |
44 Mardirossian N, Head-Gordon M. Mapping the genome of meta-generalized gradient approximation density functionals: The search for B97M-V. J Chem Phys 2015; 142: 074111.
| Crossref | Google Scholar |
45 Becke AD. A new mixing of Hartree–Fock and local density‐functional theories. J Chem Phys 1993; 98: 1372-1377.
| Crossref | Google Scholar |
46 Becke AD. Density‐functional thermochemistry. III. The role of exact exchange. J Chem Phys 1993; 98: 5648-5652.
| Crossref | Google Scholar |
47 Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ. Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields. J Phys Chem 1994; 98: 11623-11627.
| Crossref | Google Scholar |
48 Adamo C, Barone V. Toward reliable density functional methods without adjustable parameters: The PBE0 model. J Chem Phys 1999; 110: 6158-6170.
| Crossref | Google Scholar |
49 Hamprecht FA, Cohen AJ, Tozer DJ, Handy NC. Development and assessment of new exchange-correlation functionals. J Chem Phys 1998; 109: 6264-6271.
| Crossref | Google Scholar |
50 Xu X, Zhang Q, Muller RP, Goddard WA. An extended hybrid density functional (X3LYP) with improved descriptions of nonbond interactions and thermodynamic properties of molecular systems. J Chem Phys 2005; 122: 014105.
| Crossref | Google Scholar |
51 Peverati R, Truhlar DG. Communication: A global hybrid generalized gradient approximation to the exchange-correlation functional that satisfies the second-order density-gradient constraint and has broad applicability in chemistry. J Chem Phys 2011; 135: 191102.
| Crossref | Google Scholar |
52 Austin A, Petersson GA, Frisch MJ, Dobek FJ, Scalmani G, Throssell K. A Density Functional with Spherical Atom Dispersion Terms. J Chem Theory Comput 2012; 8: 4989-5007.
| Crossref | Google Scholar |
53 Chai J-D, Head-Gordon M. Systematic optimization of long-range corrected hybrid density functionals. J Chem Phys 2008; 128: 084106.
| Crossref | Google Scholar |
54 Mardirossian N, Head-Gordon M. ωB97X-V: A 10-parameter, range-separated hybrid, generalized gradient approximation density functional with nonlocal correlation, designed by a survival-of-the-fittest strategy. Phys Chem Chem Phys 2014; 16: 9904-99024.
| Crossref | Google Scholar |
55 Peverati R, Truhlar DG. Screened-exchange density functionals with broad accuracy for chemistry and solid-state physics. Phys Chem Chem Phys 2012; 14: 16187-16191.
| Crossref | Google Scholar |
56 Yanai T, Tew DP, Handy NC. A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP). Chem Phys Lett 2004; 393: 51-57.
| Crossref | Google Scholar |
57 Zhao Y, Schultz NE, Truhlar DG. Exchange-correlation functional with broad accuracy for metallic and nonmetallic compounds, kinetics, and noncovalent interactions. J Chem Phys 2005; 123: 161103.
| Crossref | Google Scholar |
58 Zhao Y, Schultz NE, Truhlar DG. Design of Density Functionals by Combining the Method of Constraint Satisfaction with Parametrization for Thermochemistry, Thermochemical Kinetics, and Noncovalent Interactions. J Chem Theory Comput 2006; 2: 364-382.
| Crossref | Google Scholar |
59 Zhao Y, Truhlar DG. The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals. Theor Chem Acc 2008; 120: 215-241.
| Crossref | Google Scholar |
60 Zhao Y, Truhlar DG. Exploring the Limit of Accuracy of the Global Hybrid Meta Density Functional for Main-Group Thermochemistry, Kinetics, and Noncovalent Interactions. J Chem Theory Comput 2008; 4: 1849-1868.
| Crossref | Google Scholar |
61 Boese AD, Martin JML. Development of density functionals for thermochemical kinetics. J Chem Phys 2004; 121: 3405-3416.
| Crossref | Google Scholar |
62 Staroverov VN, Scuseria GE, Tao J, Perdew JP. Comparative assessment of a new nonempirical density functional: Molecules and hydrogen-bonded complexes. J Chem Phys 2003; 119: 12129-12137.
| Crossref | Google Scholar |
63 Zhao Y, Truhlar DG. Design of Density Functionals That Are Broadly Accurate for Thermochemistry, Thermochemical Kinetics, and Nonbonded Interactions. J Phys Chem A 2005; 109: 5656-5667.
| Crossref | Google Scholar |
64 Peverati R, Truhlar DG. Improving the Accuracy of Hybrid Meta-GGA Density Functionals by Range Separation. J Phys Chem Lett 2011; 2: 2810-2817.
| Crossref | Google Scholar |
65 Mardirossian N, Head-Gordon M. ωB97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation. J Chem Phys 2016; 144: 214110.
| Crossref | Google Scholar |
66 Grimme S. Semiempirical hybrid density functional with perturbative second-order correlation. J Chem Phys 2006; 124: 034108.
| Crossref | Google Scholar |
67 Schwabe T, Grimme S. Towards chemical accuracy for the thermodynamics of large molecules: new hybrid density functionals including non-local correlation effects. Phys Chem Chem Phys 2006; 8: 4398-4401.
| Crossref | Google Scholar |
68 Karton A, Tarnopolsky A, Lamère JF, Schatz GC, Martin JML. Highly Accurate First-Principles Benchmark Data Sets for the Parametrization and Validation of Density Functional and Other Approximate Methods. Derivation of a Robust, Generally Applicable, Double-Hybrid Functional for Thermochemistry and Thermochemical. J Phys Chem A 2008; 112: 12868-12886.
| Crossref | Google Scholar |
69 Kozuch S, Gruzman D, Martin JML. DSD-BLYP: A General Purpose Double Hybrid Density Functional Including Spin Component Scaling and Dispersion Correction. J Phys Chem C 2010; 114: 20801-20808.
| Crossref | Google Scholar |
70 Goerigk L, Grimme S. Efficient and Accurate Double-Hybrid-Meta-GGA Density Functionals – Evaluation with the Extended GMTKN30 Database for General Main Group Thermochemistry, Kinetics, and Noncovalent Interactions. J Chem Theory Comput 2011; 7: 291-309.
| Crossref | Google Scholar |
71 Kozuch S, Martin JML. Spin-component-scaled double hybrids: An extensive search for the best fifth-rung functionals blending DFT and perturbation theory. J Comput Chem 2013; 34: 2327-2344.
| Crossref | Google Scholar |
72 Kozuch S, Martin JML. DSD-PBEP86: in search of the best double-hybrid DFT with spin-component scaled MP2 and dispersion corrections. Phys Chem Chem Phys 2011; 13: 20104-20107.
| Crossref | Google Scholar |
73 Brémond E, Adamo C. Seeking for parameter-free double-hybrid functionals: The PBE0-DH model. J Chem Phys 2011; 135: 024106.
| Crossref | Google Scholar |
74 Brémond É, Sancho-García JC, Pérez-Jiménez ÁJ, Adamo C. Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model. J Chem Phys 2014; 141: 031101.
| Crossref | Google Scholar |
75 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 2010; 132: 154104.
| Crossref | Google Scholar |
76 Grimme S, Ehrlich S, Goerigk L. Effect of the damping function in dispersion corrected density functional theory. J Comput Chem 2011; 32: 1456-1465.
| Crossref | Google Scholar |
77 Becke AD, Johnson ER. A density-functional model of the dispersion interaction. J Chem Phys 2005; 123: 154101.
| Crossref | Google Scholar |
79 Neese F. The ORCA program system. WIREs Comput Mol Sci 2012; 2: 73-78.
| Crossref | Google Scholar |
80 Neese F. Software update: the ORCA program system, version 4.0. WIREs Comput Mol Sci 2018; 8: e1327.
| Crossref | Google Scholar |
81 Neese F, Wennmohs F, Becker U, Riplinger C. The ORCA quantum chemistry program package. J Chem Phys 2020; 152: 224108.
| Crossref | Google Scholar |
82 Karton A, Rabinovich E, Martin JML, Ruscic B. W4 theory for computational thermochemistry: In pursuit of confident sub-kJ/mol predictions. J Chem Phys 2006; 125: 144108.
| Crossref | Google Scholar |
83 O’Reilly RJ, Balanay MP. A quantum chemical study of the effect of substituents in governing the strength of the S–F bonds of sulfenyl-type fluorides toward homolytic dissociation and fluorine atom transfer. Chem Data Collect 2019; 20: 100186.
| Crossref | Google Scholar |
84 Garifullina A, Mahboob A, O’Reilly RJ. A dataset of homolytic C–Cl bond dissociation energies obtained by means of W1w theory. Chem Data Collect 2016; 3–4: 21-25.
| Crossref | Google Scholar |
85 Lu W, O’Reilly RJ. Homolytic B–Cl bond dissociation energies of chloroborane-type molecules. Mong J Chem 2022; 23: 9-18.
| Crossref | Google Scholar |
86 Karton A, Sylvetsky N, Martin JML. W4-17: A diverse and high-confidence dataset of atomization energies for benchmarking high-level electronic structure methods. J Comput Chem 2017; 38: 2063-2075.
| Crossref | Google Scholar |
87 Karton A, Daon S, Martin JML. W4-11: A high-confidence benchmark dataset for computational thermochemistry derived from first-principles W4 data. Chem Phys Lett 2011; 510: 165-178.
| Crossref | Google Scholar |
88 Chan B. How to computationally calculate thermochemical properties objectively, accurately, and as economically as possible. Pure Appl Chem 2017; 89: 699-713.
| Crossref | Google Scholar |
89 Karton A. Chapter Three - Quantum Mechanical Thermochemical Predictions 100 years after the Schrödinger Equation. Annu Rep Comput Chem 2022; 18: 123-166.
| Crossref | Google Scholar |
90 Menon AS, Henry DJ, Bally T, Radom L. Effect of substituents on the stabilities of multiply-substituted carbon-centered radicals. Org Biomol Chem 2011; 9: 3636-3657.
| Crossref | Google Scholar |
91 O’Reilly RJ, Karton A. A dataset of highly accurate homolytic N-Br bond dissociation energies obtained by Means of W2 theory. Int J Quantum Chem 2016; 116: 52-60.
| Crossref | Google Scholar |
92 Karton A, Martin JML. Basis set convergence of explicitly correlated double-hybrid density functional theory calculations. J Chem Phys 2011; 135: 144119.
| Crossref | Google Scholar |