Heat of Formation of CH2OH Radical: Improved Partition Functions that Reconcile Conflicts among Kinetic Equilibrium and Photoionization Mass Spectrometry Measurements


Jeffrey W. Hudgens and R. D. Johnson III
Physical and Chemical Properties Division
Chemical Science and Technology Laboratory
National Institute of Standards and Technology
Gaithersburg, MD 20899 USA
E-mail: Hudgens@nist.gov
E-mail: RDJ3@nist.gov


The CH2OH radical plays important roles in combustion of hydrocarbon fuels, atmospheric pollution chemistry, and interstellar chemistry [1]. Nearly 120 papers have described its properties and reactions. Even so, the heat of formation of CH2OH is uncertain. Figure 1 summaries the experimental determinations of ( CH2OH). The kinetic equilibrium determinations were obtained from the forward and reverse rates of the reactions:

X (X= Cl, Br, I) + CH3OH HX + CH2OH

The ion appearance determinations were obtained from the threshold appearance energy of CH2OH+ from CH3OH. After 30 years of study, determinations of ( CH2OH) obtained from these methods seemed irreconcilable.


Figure 1. Determinations of ( CH2OH) from kinetic equilibria and ion data.


Experimental determinations of ( CH2OH) use heat capacities and entropies of the CH2OH radical and cation. These thermodynamic values are estimated from spectroscopic data with standard formulae. Several groups have noted that these values are uncertain because the spectroscopic data does not clearly establish the internal rotation energies. Various groups have treated the internal rotation as a harmonic oscillator, a hindered rotor, and as a free rotor. For derivations of ( CH2OH) from kinetic data, these diverse treatments of internal rotation will vary ( CH2OH) by 15 J-(mol-deg)-1 and ( CH2OH) by 5.6 kJ-mol-1.

We have conducted experiments and performed ab initio calculations to obtain accurate partition functions for hydroxymethyl radicals and cations. Our results show that previously-accepted spectroscopic data contain substantial conceptual errors and do not include vibrational states residing below 400 cm-1. We measured these missing vibrational levels by experimentally observing the extremely weak "hot" bands exhibited in the 2A(3p) <--- 2A resonance enhanced multiphoton ionization (REMPI) spectra of CH2OH, CH2OH, CD2OH, and CD2OD produced by the reaction of fluorine with methanol. Using optimized MP2/6-311G(2df,2p) calculations, we constructed potential energy surfaces for the radical and cation. Eigenvalues obtained from these potential energy surfaces reproduce the REMPI data and show that the missing levels arise from strongly coupled v8 torsion (internal rotation) and v9 CH2-wag modes.

Using the new experimental and ab initio results, we calculated heat capacities and entropies for the radical and cation using the improved partition functions. The new thermochemical values differ significantly from previous ones. Recalculations of older kinetic equilibrium data using the new entropy, ( CH2OH) = 244.170 0.018 J-(mole-deg)-1, and new heat capacities lower ( CH2OH) by 2-4 kJ/mole. Re-evaluated mass spectrometry data and kinetic equilibrium data lie in agreement and suggest that ( CH2OH) = -17.8 ± 1.3 kJ-mol-1. Our recommended value is also supported by extensive ab initio CBS-QCI/APNO calculations that predict ( CH2OH) = -18.4 ± 1.3 kJ-mol-1.-1

Previous studies have regarded all vibrational modes as distinct oscillators and rotors. In fact, the v8 torsion (internal rotation) and v9 CH2-wag modes are strongly coupled and governed by nonharmonic potential energy surfaces. In the radical the CH2-wag coordinate has a 156 cm-1 barrier at the planar configuration and two 1643 cm-1 barriers to internal rotation. Accurate predictions of the v8 and v9 energy levels require simultaneous solutions for motion along both coordinates.

Several previous studies have regarded the hydroxymethyl radical as a totally nonsymmetrical species, i.e., as a member of the C1 point group. In fact, the wavefunctions of hydroxymethyl species belong to the Cs point group in the rigid molecule picture and to the G4 permutation-inversion group (which is isomorphic to the C2v point group) in the non-rigid molecule picture. Therefore, the proper symmetry number of hydroxymethyl radicals and cations is sigma = 2. This symmetry misassignment has also increased errors in some previous entropy calculations.

References

1) R. D. Johnson III and J. W. Hudgens, J. Phys. Chem. 100, 19874 (1996).


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