4248 J. Phys. Chem. A, Vol. 112, No. 18, 2008
Kim et al.
TABLE 2: Calculated Raman Shift (cm-1) of ν[Zn-C] and
ν[Zn-H] for Selected Zn-Containing Moleculesa
and a photomultiplier tube was used as a detector. A maximal
laser power of 1-5 W was used, although the actual excitation
power was lower due to losses from mirrors and other optical
components. A charge-coupled device (CCD) was also available
in system but the analytical measurements were mainly per-
formed using the PMT.
The theory of Raman scattering based on fundamental
molecular motions, including electronic, rotational, and vibra-
tional motions is very well developed.17-19 The Raman intensity
is inversely proportional to the fourth power of the light source
wavelength and to the differential Raman cross-section. To
estimate the mole fraction of a specific molecule from the
measured intensity, the ratio of the Raman intensity of the
molecular species of interest and the carrier gas (N2) is used as
shown in
ν[Zn-C]
Zn(C2H5)2 •ZnC2H5 HZnC2H5
δ[Zn-C & C-H] ν[Zn-C]
HZnC2H5
H2Zn
486.0
313.1
590.5
666.5
1918.9
a The frequency values of first three molecules are Zn-C vibrational
stretching and the other frequency involved Zn-H rocking motion.
ates and thus suggestion of a decomposition mechanism. The
density functional theory (DFT) calculations were performed
using the Gaussian 03 package.20 Bond dissociation energies
were calculated using Becke’s three-parameter hybrid exchange
functional combined with the Lee-Yang-Parr gradient-cor-
rected correlation functional (B3LYP) and the 6-311G(d) basis
set. This method and basis set specify the model chemistry used
to calculate molecular optimized geometries, and atomic or
molecular properties for the reaction species, i.e., Zn-containing
molecules.21-23 This model chemistry was also used to calculate
the Raman active frequencies along with the symmetrical
vibrational motions between zinc and carbon or zinc and
hydrogen atoms in selected intermediate species. Calculated
values of the rotational or vibrational frequencies allowed their
partition functions to be evaluated to yield Gibbs energies of
possible intermediates to judge which reactions are thermody-
namically favored. In identifying reaction intermediates, multiple
combinations of different fragments, i.e., reaction intermediates,
were tested.
Nj
xj )
(3)
(4)
Nj + NQ
NQ (ν˜0 - ν˜j)4 1 - exp(-hcν˜Q/kBT) IQ
)
∑
(ν˜0 - ν˜Q)4
Nj
Ij
1 - exp(-hcν˜j/kBT)
j
where Nj and Ij are the number density and measured intensity
of component j, and the subscript “Q” denotes the Q-branch of
N2 carrier gas. ν˜0, ν˜j and ν˜Q are the wavenumbers of the incident
light, molecular vibration and Q-branch of N2 carrier gas. The
term Σj is the relative Raman cross-section for vibration mode
j.
The Raman intensity of the molecular species of interest is
compared to that of N2 because N2 is at high concentration and
known to have stable rotational and vibrational motions at
reaction conditions. In addition to the vibrational frequency, the
relative Raman cross-section, Σk, is required. In practice, cross-
sections are usually reported relative to that of the Q-branch of
N2 because N2 has sufficient stability to be an internal standard.20
3. Results and Discussion
The two gas-phase decomposition reaction pathways reported
in the literature can be distinguished by their Zn intermediates.
•
The species Zn and ZnC2H5 are produced from homolytic
fission, and HZnC2H5 and ZnH2 result from â-hydride elimina-
tion. The first set of experiments was designed to promote the
decomposition of Zn(C2H5)2 to a sufficient extent that the Zn
intermediates could be detected by Raman scattering. To this
end photolysis of Zn(C2H5)2 was carried out using the incident
laser at high power in the flow cell. To assist in the peak
assignment, DFT calculations were performed to identify
vibrational frequencies of candidate reaction intermediates.
Ckν˜Q (∂σ/∂Ω)k (ν˜0 - ν˜Q)4 1 - exp(-hcν˜k/kBT)
)
)
(5)
∑
(ν˜0 - ν˜k)4
CQν˜k
(∂σ/∂Ω)Q
1 - exp(-hcν˜Q/kBT)
k
where Ck is a constant, which contains specific information on
the kth vibration mode. The relative Raman cross-section shown
above is calculated using the Q-branch of the N2 vibrational
motion of ν˜Q, which appears at 2331 cm-1. The Raman cross-
sections for metalorganic precursors, however, are generally not
known.
Several computational approaches were first tested to repre-
sent species in the DEZn system. Among them, the B3LYP level
calculation with 6-311G(d) basis set was chosen to describe
the nature of bond rupture and analyze the thermodynamic
properties based on geometry optimization calculations. The
products from carbon-carbon dissociation, i.e., Zn(C2H5)2 f
(C2H5)Zn(CH2) + CH3, were not included because the carbon-
carbon bond strength is considerably greater than the zinc-
carbon bond strength. This assertion is supported by an analysis
using the Wiberg bond index in the natural bond orbital
(NBO): Zn-C: 0.4990, C-C: 1.0600, C(next to Zn)-H:
0.9362, and C(next to C)-H: 0.9403. On the basis of the
optimal geometries, the symmetry point groups were identified
and Raman-active vibrational frequencies in normal modes along
with the symmetry groups were obtained.24 Table 2 summarizes
the calculated results.
In a preliminary experiment, the Raman cross-section of
DEZn was measured in a commercial flow-cell reactor. In this
measurement a steady stream of DEZn (10 mol % in N2),
normally at atmospheric pressure, was introduced into the flow-
cell reactor at 3.0 cm/s velocity and sufficient time was allowed
for the reactor to reach steady state. The contents of the cell
were then excited with the 532.08 nm line at 1-3 W and the
scattered intensity of the Zn-C stretch at 480 cm-1 was
recorded. With repeated measurements at room temperature, the
value of the relative Raman cross-section of DEZn was
estimated to be 4.2. Although the cross-section of this molecule
is lower than that of the group III alkyls (e.g., ΣTMIn ) 22.3),
the signal-to-noise ratio at this concentration was sufficient to
quantify the Zn(C2H5)2 concentration from the measured
intensity of the 480 cm-1 line.
Atomic Zn was not expected to be detected by Raman
spectroscopy because the most probable emission radiates from
the excited state (1P1 ) to the ground state (1S0) with just 1.6 ns
o
lifetime, which is too short to be detected.25 Therefore, Raman
scattering experiments were used to search for the possible
Coupling the experimental observations with the computa-
tional calculations enabled identification of reaction intermedi-
•
decomposition fragments ZnC2H5, HZnC2H5, and ZnH2.