Abstract
Context
Why are the halonium cations so effective in forming strongly-bound complexes? We directed our research to address this question and we present electrostatic potential data for the valence-state halogen atoms X and halonium cations X+, where X = Cl, Br, I. The electron densities and electrostatic potentials of the halonium cations show considerably greater anisotropy than do the valence state halogens. The distances from the electrostatic potential surface maxima to the halogen nuclei are about 0.5 Å smaller than the distances from the electrostatic potential surface minima to the nuclei, giving the halonium cations each a more disk-like shape than the corresponding neutral valence state halogens. Their surface electrostatic potentials are totally consistent with the directionalities of halonium cations in complexes and the strengths of their interactions. To add perspective to this brief report, we have included calculations of the isotropic cation K+ and noble gas Kr.
Methods
The calculations of the electrostatic potentials of the valence states of the halogen atoms Cl, Br and I and the halonium cations Cl+, Br+ and I+, as well as K+ and Kr, on 0.001 au contours of their electronic densities were carried out with Gaussian O9 and the Wave Function Analysis – Surface Analysis Suite (WFA-SAS) at the M06-2X/6–31 + G(d,p) and M06-2X/3-21G* levels.
Similar content being viewed by others
Data availability
The datasets from the current study are available from the corresponding author on reasonable request.
References
Delgado-Barrio G, Prat RF (1975) Deformed Hartree-Fock solutions for atoms. III. Convergent iterative process and results for O−. Phys Rev A 12:2288–2297
Sen KD, Politzer P (1989) Characteristic features of the electrostatic potentials of singly-negative monoatomic ions. J Chem Phys 90:4370–4372
Pauling L (1960) The Nature of the Chemical Bond, 3rd edn. Cornell University Press, Ithaca
Awwadi FF, Willett RD, Peterson KA, Twamley B (2006) The nature of halogen–-halogen synthons: Crystallographic and theoretical studies. Chem Eur J 12:8952–8960
Stevens ED (1979) Experimental electron density distribution of molecular chlorine. Mol Phys 37:27–45
Nyburg SC, Wong-Ng W (1979) Anisotropic atom-atom forces and the space group of solid chlorine. Proc R Soc London Ser A 367:29
Ikuta S (1990) Anisotropy of electron-density distribution around atoms in molecules: N, P, O and A atoms. J Mol Struct (Theochem) 205:191–201
Price SL, Stone AJ, Lucas J, Rowland RS, Thornly AE (1994) The nature of -Cl–-Cl- intermolecular interactions. J Am Chem Soc 116:4910–4918
Tsirelson VG, Zou PF, Tang T-H, Bader RFW (1995) Topological definition of crystal structure: Determination of the bonded interactions in solid molecular chlorine. Acta Cryst Sect A 51:143–153
Lommerse JPM, Stone AJ, Taylor R, Allen FH (1996) The nature and geometry of intermolecular interactions between halogens an oxygen or nitrogen. J Am Chem Soc 118:3108–3116
Bilawicz E, Rybarczyk-Pirek AJ, Dubis AT, Grabowski SJ (2007) Halogen bonding in crystal structure of 1-methylpyrrol-2-yl trichloromethyl ketone. J Mol Struct 829:208–211
JMurray JS, Politzer P, (2017) Molecular electrostatic potentials and noncovalent interactions. WIRES Comput Mol Sci 7:e1326
Politzer P, Murray JS (2021) The neglected nuclei. Molecules 26:2982
Brinck T, Murray JS, Politzer P (1992) Surface electrostatic potentials of halogenated methanes as indicators of directional intermolecular interactions. Int J Quantum Chem, Quantum Biol Symp 44(S19):57
Auffinger P, Hays FA, Westhof E, Shing Ho P (2004) Halogen bonding in biological molecules. Proc Nat Acad Sci USA 101:16789–16794
Clark T, Hennemann M, Murray JS, Politzer P (2007) Halogen bonding: The σ-hole. J Mol Model 13:291–296
Politzer P, Murray JS, Clark T (2010) Halogen bonding: An electrostatically-driven highly directional noncovalent interaction. Phys Chem Chem Phys 12:7748–7757
Murray JS, Lane P, Clark T, Riley KE, Politzer P (2012) σ-Holes, π-holes and electrostatically-driven interactions. J Mol Model 18:541–548
Politzer P, Murray JS, Clark T (2013) Halogen bonding and other σ-hole interactions. Phys Chem Chem Phys 15:11178–11189
Bauzá A, Mooibroek TJ, Frontera A (2015) The bright future of unconventional σ/π-hole interactions. ChemPhysChem 16:2496–2517
Wang H, Wang W, Jin WH (2016) σ-Hole bond vs π-hole bond: A comparison based on halogen bond. Chem Rev 116:5072–5104
Politzer P, Murray JS, Clark T, Resnati G (2017) The σ-hole revisited. Phys Chem Chem Phys 19:32166–32178
Bauzá A, Frontera A (2015) Aerogen bonding interaction: A new supramolecular force? Angew Chem Int Ed 54:7340–7343
Stenlid JH, Brinck T (2017) Extending the σ-hole concept to metals: An electrostatic interpretation of the effects of nanostructure in gold and platinum catalysis. J Am Chem Soc 139:11012–11015
Stenlid JH, Johansson AJ, Brinck T (2018) σ-Holes and σ-lumps direct the Lewis basic and acidic interactions of noble metal nanoparticles: Introducing regium bonds. Phys Chem Chem Phys 20:2676–2692
Bauzá A, Alkorta I, Elguero J, Mooibroek TJ, Frontera A (2020) Spodium bonds: Noncovalent interactions involving Group 12 elements. Angew Chem Int Ed 59:17482–17487
Resnati G, Metrangolo P (2020) Coord Chem Rev, Celebrating 150 years from Mendelev: The periodic table of chemical interactions. 420:213409
Daolio A, Pizzi A, Calabrese M, Terraneo G, Bordignon S, Frontera A, Resnati G (2021) Anion–-anion coinage bonds: The case of tetrachloridoaurate. Angew Chem Int Ed 60:14385–14389
Politzer P, Martinez J, Murray JS, Concha MC (2010) An electrostatic correction for improved crystal density predictions of energetic ionic compounds. Mol Phys 108:1391–1396
Politzer P, Lane P, Murray JS (2016) Electrostatic potentials, intralattice attractive forces and crystal densities of nitrogen-rich C, H, N, O salts. Crystals 6(7):1–14
Politzer P, Lane P, Murray JS (2016) Sensitivities of ionic explosives. Mol Phys 115:497–509
Cavallo G, Murray JS, Politzer P, Pilati T, Ursini M, Resnati G (2017) Halogen bonding in hypervalent iodine and bromine derivatives: Halonium salts. Int Union Crystallogr 4:411–419
Konidaris KF, Pilati T, Terraneo G, Politzer P, Murray JS, Scilabra P, Resnati G (2018) Cyanine dyes: Synergistic action of hydrogen, halogen and chalcogen bonds allow I42- anions in crystals. New J Chem 42:10463–10466
Konidaris K, Daolio A, Pizzi A, Scilabra P, Terraneo G, Quinci S, Murray JS, Politzer P, Resnati G (2022) Thiazolium salts as chalcogen bond donors. Cryst Growth Des 22:4987–4995
Turunen L (2020) Erdélyi M (2020) Halogen bonds of halonium ions. Chem Soc Rev 49:2688–2700
Lindblad S, Németh FB, Földes T, Vanderkooy A, Pápai I, Erdélyi M (2020) O-I-O halogen bond of halonium ions. ChemComm 56:9671–9674
van der Heiden D, Rissanen K, Erdélyi M (2020) Asymmetric [N-I-N]+ halonium complexes in solution? ChemComm 56:14431–14434
Lindblad S, Sethio D, Berryman OB, Erdélyi M (2021) Modulating photoswitch performance with halogen, coordinative and hydrogen bonding: A comparison of relative bond strengths. ChemComm 57:6261–6263
Valasquez JD, Echeverría J, Alvarez S (2023) Structure and bonding of halonium compounds. Inorg Chem 62:8980–8992
Stewart RF (1979) On the mapping of electrostatic properties from bragg diffraction data. Chem Phys Lett 65:335–342
Politzer P, Truhlar DG (eds) (1981) Chemical Applications of Atomic and Molecular Electrostatic Potentials. Plenum Press, New York
Klein CL, Stevens ED (1988) Charge density studies of drug molecules, in: Structure and Reactivity, Liebman JF, Goldberg A, eds, VCH Publishers, New York, ch 2, pp 26-64
Bader RFW, Carroll MT, Cheeseman JR, Chang C (1987) Properties of atoms in molecules: Atomic volumes. J Am Chem Soc 109:7968–7979
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA et al (2009) Gaussian 09, Revision A1. Gaussian Inc, Wallingford, CT
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA et al (2016) Gaussian 16. Gaussian Inc, Wallingford, CT
Bulat F, Toro-Labbé A, Brinck T, Murray JS, Politzer P (2010) Quantitative analysis of molecular surfaces: Areas, volumes, electrostatic potentials and average local ionization energies. J Mol Model 16:1679–1691
Zhao Y, Truhlar DG (2008) 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 Acct 120:215–241
Riley KE, Tran K, Lane P, Murray JS, Politzer P (2016) Comparative analysis of electrostatic potential maxima and minima on molecular surfaces by three methods and a variety of basis sets. J Comput Sci 17:273–284
Politzer P, Murray JS (2013) Halogen bonding: An interim discussion. ChemPhysChem 14:278–294
Hennemann M, Murray JS, Politzer P, Riley KE, Clark T (2012) Polarization-induced σ-holes and hydrogen bonding. J Mol Model 18:2823–2832
Politzer P, Riley KE, Bulat FA, Murray JS (2012) Perspectives on halogen bonding and other σ-hole interactions: lex parsimonaie (Occam’s razor). Comput Theoret Chem 998:2–8
Politzer P, Murray JS, Clark T (2015) Mathematical modeling and physical reality in noncovalent interactions. J Mol Model 21:52
Duarte DJR, Sosa GL, Peruchena NM, Alkorta I (2016) Halogen bonding: The role of the polarizability of the electron-pair donor. Phys Chem Chem Phys 18:7300–7309
Clark T, Hesselman A (2018) The Coulombic σ-hole model describes bonding in CX3I⋯Y− complexes completely. Phys Chem Chem Phys 22:22849–22855
Clark T, Murray JS, Politzer P (2018) The σ-hole Coulombic interpretation of trihalide anion formation. ChemPhysChem 19:3044–3049
Clark T, Murray JS, Politzer P (2018) A perspective on quantum mechanics and chemical concepts in describing noncovalent interactions. Phys Chem Chem Phys 20:30076–30082
Brinck T, Boorfors AN (2019) Electrostatics and polarization determine the strength of the halogen bond: A red card for charge transfer. J Mol Model 25:125
Slater JC (1972) Hellmann-Feynman and virial theorems in the Xα method. J Chem Phys 57:2389–2396
Bader RFW (2009) Bond paths are not chemical bonds. J Phys Chem A 113:10391–10396
Rahm M, Hoffman R (2016) Distinguishing bonds. J Am Chem Soc 138:3731–3744
Politzer P, Murray JS (2019) A look at bonds and bonding. Struct Chem 30:1153–1157
Politzer P, Murray JS (2022) The conceptual power of the Hellmann-Feynman theorem. Struct Chem 34:17–21
Acknowledgements
JSM gives many thanks and gratitude for the years of dedication given by Peter Politzer to the field of theoretical and computational chemistry, and for his continuing inspiration in my life. PR would like to dedicate this paper to Peter Politzer and he will always be remembered as a great scientist and a great human being.
Funding
The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.
Author information
Authors and Affiliations
Contributions
Both authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Ponnadurai Ramasami and Jane S. Murray. The first draft of the manuscript was written by Jane S. Murray. Both authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Ramasami, P., Murray, J.S. Anisotropies in electronic densities and electrostatic potentials of Halonium Ions: focus on Chlorine, Bromine and Iodine. J Mol Model 30, 81 (2024). https://doi.org/10.1007/s00894-024-05869-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00894-024-05869-5