Abstract
The utility of measuring the energetics of ion-molecule reactions is discussed. After distinguishing between the terms of thermodynamics (macroscopic, equilibrium quantities) and energetics (microscopic and kinetically relevant quantities), the potential energy surfaces for ion-molecule reactions are reviewed and their implications discussed. Equations describing the kinetic energy dependence of ion-molecule reactions are introduced and the effects of entropy on reaction rates and branching ratios are discussed. Several case histories allow an exploration of the utility of accurate thermochemical information and probe how accurate such energetic information must be to be predictive. These case studies include decomposition of hydrated metal dications, the reaction of FeO+ with H2, and fragmentation of a small protonated peptide (GG). These illustrate a range of interesting systems for which accurate energetic information has been influential in understanding the observed reactivity. Comparisons with theory demonstrate that experimental information is still required for truly predictive capability.
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Langevin, P.: Une Formule Fondamentale de Theorie Cinetique. Ann. Chim. Phys. Ser. 8(5), 245–288 (1905)
Gioumousis, G., Stevenson, D.P.: Reactions of gaseous molecule ions with gaseous molecules. V. Theory. J. Chem. Phys. 29, 294–299 (1958)
Su, T., Bowers, M.T.: Theory of ion-polar molecule collisions comparison with experimental charge transfer reactions of rare gas ions to geometric isomers of difluorobenzene and dichloroethylene. J. Chem. Phys. 58, 3027–3037 (1973)
Su, T., Bowers, M.T.: Ion-polar molecule collisions: the effect of ion size on ion-polar molecule rate constants: the parameterization of the average dipole orientation theory. Int. J. Mass Spectrom. Ion Phys. 12, 347–356 (1973)
Su, T., Chesnavich, W.J.: Parameterization of the ion-polar molecule collision rate constant by trajectory calculations. J. Chem. Phys. 76, 5183–5185 (1982)
Su, T.: Parameterization of kinetic energy dependences of ion-polar molecule collision rate constants by trajectory calculations. J. Chem. Phys. 100, 4703 (1994)
Levine, R.D., Bernstein, R.B.: Post-threshold energy dependence of the cross section for endoergic processes: vibrational excitation and reactive scattering. J. Chem. Phys. 56, 2281–2287 (1972)
Ervin, K.M., Armentrout, P.B.: Energy dependence, kinetic isotope effects, and thermochemistry of the nearly thermoneutral reactions of N+ + H2 → NH+ + H. J. Chem. Phys. 86, 2659–2673 (1987)
Armentrout, P.B., Beauchamp, J.L.: Cobalt carbene ion: reactions of Co+ with C2H4, cyclo-C3H6, and cyclo-C2H4O. J. Chem. Phys. 74, 2819–2826 (1981)
Armentrout, P.B.: The kinetic energy dependence of ion-molecule reactions: guided ion beams and threshold measurements. Int. J. Mass Spectrom. Ion Process. 200, 219–241 (2000)
Chesnavich, W.J., Bowers, M.T.: Theory of translationally driven reactions. J. Phys. Chem. 83, 900–905 (1979)
Muntean, F., Armentrout, P.B.: Guided Ion beam study of collision-induced dissociation dynamics: integral and differental cross sections. J. Chem. Phys. 115, 1213–1228 (2001)
Ervin, K.M., Armentrout, P.B.: Translational energy dependence of Ar+ + XY → ArX+ + Y (XY = H2, D2, HD) from thermal to 30 eV cm. J. Chem. Phys. 83, 166–189 (1985)
Schultz, R.H., Crellin, K.C., Armentrout, P.B.: Sequential bond energies of Fe(CO) x + (x = 1–5): systematic effects on collision-induced dissociation measurements. J. Am. Chem. Soc. 113, 8590–8601 (1991)
Loh, S.K., Hales, D.A., Lian, L., Armentrout, P.B.: Collision-induced dissociation of Fe n + (n = 2–10) with Xe: ionic and neutral iron cluster binding energies. J. Chem. Phys. 90, 5466–5485 (1989)
Khan, F.A., Clemmer, D.E., Schultz, R.H., Armentrout, P.B.: Sequential bond energies of Cr(CO) x +, x = 1–6. J. Phys. Chem. 97, 7978–7987 (1993)
Rodgers, M.T., Ervin, K.M., Armentrout, P.B.: Statistical modeling of collision-induced dissociation thresholds. J. Chem. Phys. 106, 4499–4508 (1997)
Armentrout, P.B., Ervin, K.M., Rodgers, M.T.: Statistical rate theory and kinetic energy-resolved ion chemistry—theory and applications. J. Phys. Chem. A 112, 10071–10085 (2008)
Rodgers, M.T., Armentrout, P.B.: Statistical modeling of competitive threshold collision-induced dissociation. J. Chem. Phys. 109, 1787–1800 (1998)
Krückeberg, S., Dietrich, G., Lützenkirchen, K., Schweikhard, L., Walther, C., Ziegler, J.: Multiple-collision induced dissociation of trapped silver clusters Ag n + (2 ≤ n ≤ 25). J. Chem. Phys. 110, 7216–7228 (1999)
Hales, D.A., Lian, L., Armentrout, P.B.: Collision-Induced Dissociation of Nbn + (n = 2–11): Bond Energies and Dissociation Pathways. Int. J. Mass Spectrom. Ion Process. 102, 269–301 (1990)
Gilbert, R.G., Smith, S.C.: Theory of Unimolecular and Recombination Reactions. Blackwell Scientific, London (1990)
Robinson, P.J., Holbrook, K.A.: Unimolecular Reactions. Wiley Interscience, New York (1972)
Armentrout, P.B.: Statistical modeling of sequential collision-induced dissociation thresholds. J. Chem. Phys. 126, 1–9 (2007)
Armentrout, P.B., Heaton, A.L.: Thermodynamics and mechanisms of protonated diglycine decomposition: a guided ion beam study. J. Am. Soc. Mass Spectrom. 23, 632–643 (2012)
Muntean, F., Armentrout, P.B.: Modeling kinetic shifts for tight transition states in threshold collision-induced dissociation. Case study: phenol cation. J. Phys. Chem. B 106, 8117–8124 (2002)
Muntean, F., Heumann, L., Armentrout, P.B.: Modeling kinetic shifts in threshold collision-induced dissociation. Case study: dichlorobenzene cation dissociation. J. Chem. Phys. 116, 5593–5602 (2002)
Muntean, F., Armentrout, P.B.: Modeling kinetic shifts and competition in threshold collision-induced dissociation. Case study: N-butylbenzene cation dissociation. J. Phys. Chem. A 107, 7413–7422 (2003)
Narancic, S., Bach, A., Chen, P.: Simple fitting of energy-resolved reactive cross sections in threshold collision-induced dissociation (T-CID) experiments. J. Phys. Chem. A 111, 7006–7013 (2007)
Jia, B., Angel, L.A., Ervin, K.M.: Threshold collision-induced dissociation of hydrogen-bonded dimers of carboxylic acids. J. Phys. Chem. A 112, 1773–1782 (2008)
Armentrout, P.B., Heaton, A.L., Ye, S.J.: Thermodynamics and mechanisms for decomposition of protonated glycine and its protonated dimer. J. Phys. Chem. A 115, 11144–11155 (2011)
Blades, A.T., Jayaweera, P., Ikonomou, M.G., Kebarle, P.: Ion-molecule clusters involving doubly charged metal ions (M2+). Int. J. Mass Spectrom. Ion Process. 102, 251–267 (1990)
Shvartsburg, A.A., Siu, K.W.M.: Is there a minimum size for aqueous doubly charged metal cations? J. Am. Chem. Soc. 123, 10071–10075 (2001)
Cooper, T.E., Carl, D.R., Armentrout, P.B.: Hydration energies of zinc (II): threshold collision-induced dissociation experiments and theoretical studies. J. Phys. Chem. A 113, 13727–13741 (2009)
Cooper, T.E., Armentrout, P.B.: An experimental and theoretical investigation of the charge separation energies of hydrated zinc (II): redefinition of the critical size. J. Phys. Chem. A 113, 13742–13751 (2009)
Armentrout, P.B., Simons, J.: Understanding heterolytic bond cleavage. J. Am. Chem. Soc. 114, 8627–8633 (1992)
Loh, S.K., Fisher, E.R., Lian, L., Schultz, R.H., Armentrout, P.B.: State specific reactions of Fe+(6D, 4F) with O2 and cyclo-C2H4O: Do 0(Fe+-O) and effects of collisional relaxation. J. Phys. Chem. 93, 3159–3167 (1989)
Fisher, E.R., Elkind, J.L., Clemmer, D.E., Georgiadis, R., Loh, S.K., Aristov, N., Sunderlin, L.S., Armentrout, P.B.: Reactions of fourth period metal ions (Ca+ – Zn+) with O2: metal oxide ion bond energies. J. Chem. Phys. 93, 2676–2691 (1990)
Metz, R.B., Nicolas, C., Ahmed, M., Leone, S.R.: Direct determination of the ionization energies of FeO and CuO with VUV radiation. J. Chem. Phys. 123, 114313 (2005)
Chase, J.M.W., Davies, C.A., Downey, J.J.R., Frurip, D.J., McDonald, R.A., Syverud, A.N.: JANAF thermodynamic tables. J. Phys. Chem. Ref. Data 14(Suppl 1), (1985)
Schröder, D., Fiedler, A., Ryan, M.F., Schwarz, H.: Surprisingly low reactivity of bare iron monoxide ion (FeO+) in its spin-allowed, highly exothermic reaction with molecular hydrogen to generate iron(1+) and water. J. Phys. Chem. 98, 68–70 (1994)
Clemmer, D.E., Chen, Y.-M., Khan, F.A., Armentrout, P.B.: State-specific reactions of Fe+(a6D, a4F) with D2O and Reactions of FeO+ with D2. J. Phys. Chem. 98, 6522–6529 (1994)
Baranov, V., Javahery, G., Hopkinson, A.C., Bohme, D.K.: Intrinsic coordination properties of iron in FeO+: kinetics at 294 ± 3 K for gas-phase reactions of the ground states of Fe+ and FeO+ with inorganic ligands containing hydrogen, nitrogen, and oxygen. J. Am. Chem. Soc. 117, 12801–12809 (1995)
Schröder, D., Schwarz, H., Clemmer, D.E., Chen, Y., Armentrout, P.B., Baranov, V.I., Bohme, D.K.: Activation of hydrogen and methane by thermalized FeO+ in the gas phase as studied by multiple mass spectrometric techniques. Int. J. Mass Spectrom. Ion Process. 161, 175–191 (1997)
Danovich, D., Shaik, S.: Spin-Orbit Coupling in the oxidative activation of H–H by FeO+. Selection rules and reactivity effects. J. Am. Chem. Soc. 119, 1773–1786 (1997)
Elkind, J.L., Armentrout, P.B.: Effect of kinetic and electronic energy on the reactions of Fe+ with H2, HD, and D2: state-specific cross sections for Fe+(6D) and Fe+(4F). J. Phys. Chem. 90, 5736–5745 (1986)
Filatov, M., Shaik, S.: Theoretical investigation of two-state-reactivity pathways of H–H activation by FeO+: addition-elimination, “Rebound”, and oxene-insertion mechanisms. J. Phys. Chem. A 102, 3835–3846 (1998)
Irigoras, A., Fowler, J.E., Ugalde, J.M.: On the reactivity of Cr+(6S,4D), Mn+(7S,5S), and Fe+(6D,4F): reaction of Cr+, Mn+ and Fe+ with water. J. Am. Chem. Soc. 121, 8549–8558 (1999)
Schröder, D., Shaik, S., Schwarz, H.: Two-state reactivity as a new concept in organometallic chemistry. Acc. Chem. Res. 33, 139–145 (2000)
Bohme, D.K., Schwarz, H.: Gas-phase catalysis by atomic and cluster metal ions: the ultimate single-site catalysts. Angew. Chem. Int. Ed. 44, 2336–2354 (2005)
Armentrout, P.B., Heaton, A.L.: Thermodynamics and mechanisms of protonated diglycine decomposition: a computational study. J. Am. Soc. Mass Spectrom. 23, 621–631 (2012)
Klassen, J.S., Kebarle, P.: Collision-induced dissociation threshold energies of protonated glycine, glycinamide, and some related small peptides and peptide amino amides. J. Am. Chem. Soc. 119, 6552–6563 (1997)
Roepstorff, P., Fohlman, J.: Proposal for a common nomenclature for sequence ions in mass spectra of peptides. Biomed. Mass Spectrom. 11, 601 (1984)
Biemann, K.: Contributions of mass spectrometry to peptide and protein structure. Biomed. Environ. Mass Spectrom. 16, 99–111 (1988)
Paizs, B., Csonka, I., Lendvay, G., Suhai, S.: Proton mobility in protonated glycylglycine and N-formylglycylglycinamide: a combined quantum chemical and RKKM study. Rapid Commun. Mass Spectrom. 15, 637–650 (2001)
Paizs, B., Suhai, S.: Theoretical study of the main fragmentation pathways for protonated glycylglycine. Rapid Commun. Mass Spectrom. 15, 651–663 (2001)
Balta, B., Aviyente, V., Lifshitz, C.: Elimination of water from the carboxyl group of GlyGlyH+ J. Am. Soc. Mass Spectrom. 14, 1192–1203 (2003)
Armentrout, P.B., Rodgers, M.T.: An absolute sodium cation affinity scale: threshold collision-induced dissociation experiments and ab initio theory. J. Phys. Chem. A 104, 2238–2247 (2000)
Rodgers, M.T., Armentrout, P.B.: A critical evaluation of the experimental and theoretical determination of lithium cation affinities. Int. J. Mass Spectrom. 267, 167–182 (2007)
Armentrout, P.B., Clark, A.A.: The simplest b2 + ion: determining Its structure from its energetics by a direct comparison of the threshold collision-induced dissociation of protonated oxazolone and diketopiperazine. Int. J. Mass Spectrom. 316/318, 182–191 (2012)
Acknowledgment
While ion chemistry may occur in a vacuum, research does not. I thank my students for their many contributions to the work here and for teaching me many new things over the years. Students contributing to the examples illustrated here include T. E. Hofstetter (ne Cooper), D. E. Clemmer, Y.-M. Chen, F. A. Khan, and A. L. Heaton. The National Science Foundation (CHE-1049580) and Department of Energy, Office of Basic Energy Sciences have provided financial support for our work. I thank Carol Robinson for the opportunity to pontificate here.
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Armentrout, P.B. The Power of Accurate Energetics (or Thermochemistry: What is it Good for?). J. Am. Soc. Mass Spectrom. 24, 173–185 (2013). https://doi.org/10.1007/s13361-012-0515-7
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DOI: https://doi.org/10.1007/s13361-012-0515-7