11476 J. Am. Chem. Soc., Vol. 120, No. 44, 1998
Reitz and Solomon
Scheme 6
Scheme 7
of formation are available46 and yield values of 0.758 and 0.550
eV for the one-electron reductions of Cu2O and CuO at 25 °C,
respectively. The relative order of these redox potentials,
pKa and binding energies are also available for permangan-
ate38,53 as well as protonated Fe2O3 and TiO2 surfaces19,54
(Scheme 7), which are potentially more applicable to the current
system. However, the iron and titanium metal oxide values were
obtained by using oxygen 1s XPS to monitor the ion exchange
of K+ with the hydrated surfaces, and these surfaces were found
to have significant contamination by oxygen-containing hydro-
carbons, and thus the absolute pKa values are subject to possible
error. As can be seen, both TiO2 and Fe2O3, which have
comparable binding energies, have similar pKa values, indicating
a reasonable correlation between oxygen 1s binding energy and
pKa. These values result in a correlation of +0.335 log unit
per 0.1 eV shift to lower binding energy.
From these two approximations, a ∆pKa (){pKa(CuO) - pKa-
(Cu2O)}) of +9 to +3.0 log units is obtained based on the
oxygen 1s binding energy difference (+0.9 eV) for cuprous
relative to cupric oxide. An intermediate value of +6 log units
is used below for the difference in pKa of the two protonated
surfaces. Furthermore, the pKa(Cu2O-H) will be approximated
as 11.5 which correlates to the experimentally determined values
for Fe2O3 and TiO2 which have similar oxygen 1s binding
energies for the unprotonated surface.
Thus, the redox potentials indicate that Cu2O has a greater
affinity for an electron, while the pKa values obtained from the
oxygen 1s binding energies indicate that CuO has a greater
affinity for a proton due to the increased basicity of its oxides.
Substituting these pKa values and redox values into eq 4.1 gives
relative BDEs of 90.2 kcal/mol (377.6 kJ/mol) for cuprous oxide
and 93.7 kcal/mol (392.2 kJ/mol) for CuO, with the difference,
∆BDE, of 3.5 kcal/mol (14.6 kJ/mol) being the important
quantity. Thus, CuO will form a stronger O-H bond, and
therefore has an overall higher affinity for the H atom. This
high affinity provides a greater thermodynamic driving force
for the H atom abstraction reaction on cupric versus cuprous
oxide. Comparison of the BDE(O-H) and rates of reaction
for RO• radicals reveals that a ∆BDE of +3 kcal/mol can result
in an ∼102 increase in k.39 Thus, the calculated difference in
BDEs for cuprous and cupric oxide is consistent with a
significant difference in the rate of the H atom abstraction
reaction on the two surfaces.
In summary, the rate of oxidation of propylene on the copper
oxide surfaces is proportional to the rate of the initial, rate-
determining H atom abstraction step. The increased reduction
on CuO (∼10× at 573 K and ∆Ea of 5.9 kcal/mol (24.7 kJ/
mol)) indicates a more favorable H atom abstraction step. The
rate of the H atom abstraction has been shown to be related to
the affinity of the substrate for the electron and proton, where
a higher affinity provides a larger thermodynamic driving force
for the reaction. While redox potentials, which are a measure
of electron affinity, favor H atom abstraction on cuprous oxide,
the increased base strength of the oxides of the Cu(II) surface
increases the proton affinity of CuO. This stronger Bronsted
base character facilitates proton transfer from the propylene
methyl group and therefore increases the rate of the H atom
abstraction step relative to cuprous oxide.
namely, that the Cu1+/Cu0 couple is more favorable than Cu2+
Cu1+ is consistent with the aqueous values47 of 0.522 (Cu1+
/
/
Cu0) and ∼0.160 (Cu2+/Cu1+) eV, as well as experimentally
determined values for molten salts of copper halides.46 Thus,
the redox potential term of the Bordwell equation favors the
cuprous oxide substrate.
In determining the pKa of the protonated copper oxides, the
acidity of the protonated oxide in the one-electron-reduced case
(pKa of Cu(n-1)+O-H) is taken to be similar to that of the
original, oxidized substrate (pKa of Cun+O-H). This ap-
proximation is valid since in both copper oxides each oxide
center is surrounded by four cations, and the reduction of only
one of these should have a minor effect on the acidity of the
protonated oxide.
No experimental data have been reported for the pKa of
protonated copper oxide surfaces; however, it has been observed
by Shirley,48,49 through XPS studies of alcohols, that the binding
energy of the oxygen 1s orbital, which is a direct measure of
the atomic charge on the oxygen, can be directly related to the
basicity of the oxygen atom. A more negative oxygen, charac-
terized by a lower binding energy, will be a stronger Bronsted
base. Thus, the oxygen 1s binding energies of the oxides of
cupric and cuprous can be used to estimate the pKa values.
To compare the binding energies of the oxygen 1s orbital of
cuprous and cupric oxide, the observed binding energies must
be relaxation-corrected.50-52 For the same atom in different
chemical environments, the relative difference in the relaxa-
tion term, ∆R, can be obtained from the Auger parameter, R,
where ∆R ) 2∆R. In this case the Auger parameter is given
by R(oxide) ) BE(O 1s) + KE(O KLL Auger). The experi-
mentally determined Auger parameters for cuprous and cupric
oxide are 1042.1 and 1041.9 eV, respectively. This corresponds
to ∆R (R(Cu2O) - R(CuO)) ) 0.1 eV, and applying this
correction to experimentally determined oxygen 1s binding
energies yields relaxation-corrected oxygen 1s binding energies
of 530.3 eV for cuprous oxide and 529.4 eV for cupric oxide.
Both the relative difference in the relaxation term and the
binding energies are in good agreement with previously reported
values.20 The lower oxygen 1s binding energy for the cupric
case indicates that its oxide has a more negative charge than in
cuprous oxide and is therefore a stronger base with a cor-
respondingly higher pKa for the protonated species.
Determining the relationship between absolute pKa values and
differences in oxygen 1s binding energies requires a correlation
to known oxide systems. Sulfur acids19,37 are one class of
compounds which have known, accurate pKa values and binding
energies (Scheme 6). From these values, we obtain a correlation
of +1.0 pKa unit per every 0.1 eV shift to lower binding energy
of the oxygen 1s XPS peak.
(46) Bertocci, U.; Turner, D. In Encylcopedia of Electrochemistry of the
Elements; Bard, A. J., Ed.; Marcel Dekker Publishing: New York, 1974.
(47) CRC Handbook of Chemistry and Physics, 70th ed.; Weast, R. C.,
Lide, D. R., Eds.; CRC Press: Boca Raton, 1990.
(48) Martin, R. L.; Shirley, D. A. J. Am. Chem. Soc. 1974, 96, 5299.
(49) Shirley, D. A. J. Electron Spectrosc. Relat. Phenom. 1974, 5, 135.
(50) Thomas, T. J. Electron Spectrosc. Relat. Phenom. 1980, 20, 117.
(51) Chasse, T.; Franke, R.; Streubel, P.; Meisel, A. Phys. Scr. 1992,
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(53) Reinert, F.; Steiner, P.; Blaha, P.; Claessen, R.; Zimmerman, R.;
Hufner, s. J. Electron Spectrosc. Relat. Phenom. 1995, 76, 671.
(54) Simmons, G. W.; Beard, B. C. J. Phys. Chem. 1987, 91, 1143.
(52) Wagner, C. D. Faraday Discuss. Chem. Soc. 1975, 60, 291.