2
A. Atifi et al. / Journal of Photochemistry and Photobiology A: Chemistry 235 (2012) 1–6
ArOR
hv
by certain further improvements over the other DFT functional
methods [20]. Indeed, generally the later methods are constructed
with the main aim of improving the well-known deficiency in
their long-range behavior. Both of the employed computational
methodologies can be considered as hybrid HF-DFT (i.e. they
include an admixture of HF exchange energy), in contrast to the
pure DFT ones. The standard Pople-type 6-311++G(d,p) basis set
was employed for orbital expansion, solving the Kohn-Sham (KS)
SCF equations iteratively for each particular purpose of this study.
Electronic transitions for the molecule were calculated from
excited state calculations using the time dependent-density func-
tional theory (TD-DFT) method. This method is frequently found
to be a powerful and accurate approach for describing low-lying
excited states of conjugated molecules and has consequently been
applied to solve many chemical and physical problems [21–24].
tion processes for the species under study was accounted for in the
framework of the self- consistent reaction field (SCRF) methodol-
ogy, employing the Polarized Continuum Model (PCM) for water,
the later medium being treated as a continuous dielectric with a
calculations were based on the gas-phase structures optimized at
the same theoretical level. Such method is used in many other
works and is known to be consistent to study similar systems
[27,28].
Subsequently, after locating the stationary points on the poten-
tial energy surfaces (PESs) under study, their character was tested
by computing the harmonic vibrational frequencies. The absence of
imaginary frequencies (namely negative eigenvalues of the second-
derivative matrix) was used as a criterion that a particular point
on the PES corresponded to a minimum energy structure (instead
of being a saddle point). Thermochemistry of the bond disso-
ciation processes was analyzed in the following way, described
below.
The energies for each of the involved species were corrected
by the zero-point vibrational energies, computed on the basis of
harmonic vibrational analysis. Subsequently, the rotational, vibra-
tional and translational contributions were added to the obtained
tical mechanics expressions for an ideal gas constituted of harmonic
oscillators within a canonical ensemble [29]. The corresponding
enthalpies H(T) and free enthalpies G(T) were calculated from Eqs.
(1) and (2):
ICom
RCom
ISC
S1
T1
Hetero
ET
Homo
ArO
R
ArO
R
R
ArO
Ion-derived products
Radical-derived products
Fig. 1. General mechanism of photodissociation.
sample of Carbofuran (0.1 mM), using the HP-8452A photo-diode
array spectrometer in the region 190–700 nm.
Laser flash photolysis (LFP): Transient absorption experiments
in the 20 ns to 500 s time scale were carried out on a nanosec-
ond laser flash photolysis spectrometer from Applied Photophysics
(LKS.60). Excitation (ꢀ = 266 nm) was from the fourth harmonic of
a Quanta Ray GCR 130-01 Nd:YAG laser (pulse width 5 ns), and was
used in a right-angle geometry with respect to the monitoring light
beam. A 3 cm3 volume of an argon-saturated solution was used in
a quartz cell, and was stirred after each flash irradiation. Individual
cell samples were used for a maximum of 10 consecutive experi-
ments. The laser energy was within the range 1–15 mJ. The obtained
signal was an average of about 10 shots. The transient absorbance at
preselected wavelength was monitored by a detection system con-
sistingof a pulsedxenonlamp(150 W), monochromator, anda 1P28
photomultiplier. A spectrometer control unit was used for synchro-
nizing the pulsed light source and programmable shutters with the
laser output. This also housed the high-voltage power supply for
the photomultiplier. The signal from the photomultiplier was dig-
itized by a programmable digital oscilloscope (HP54522A). A 32
bits RISC-processor kinetic spectrometer workstation was used to
analyze the digitized signal.
LC/MS studies were carried out with a Waters (Alliance 2695)
high performance liquid chromatography system coupled to a
Quattro LC triple quadrupole mass spectrometer (Micromass,
Manchester, UK) equipped with a pneumatically assisted elec-
trospray ionization source (ESI) and a Waters photodiode array
detector. Data acquisition and processing were performed by Mass-
Lynx NT 3.5 system. Chromatography was run using a Nucleodur
column100-5 C8 ec (250 × 4.6 mm, 5 m) and a 60/40 (v/v) mix-
ture of acetonitrile and water with 0.2% acetic acid as mobile phase
at 1 mL min−1. The electrospray source parameters were:capillary
voltage 3.5 kV (or 3 kV in the negative mode), cone voltage 15 V,
source block temperature 120 ◦C, desolvatation gas temperature
400 ◦C. Argon was used for collisional activated dissociation (CAD)
at a pressure of 1.5 × 10−3 torr and 10–50 eV collision energy.
The irradiations at 254 nm were obtained with PHILIPS TUV 6 W
lamp delivering a parallel beam.
H(T) = E(T) + RT
G(T) = H(T) − TS
(1)
(2)
Finally, the bond dissociation reaction energies E and enthalpies
H were calculated from the standard expressions for the corre-
sponding quantities, given in Eqs. (3)–(5):
ꢀ
ꢀ
ꢁE0
ꢁH0
ꢁG0
=
=
=
Ep −
Er
(3)
(4)
(5)
p
r
ꢀ
ꢀ
Hp −
Hr
2.2. Computational details
p
r
ꢀ
ꢀ
The computation was performed using two density functional
theory (DFT) based methodologies. The first methodology is based
on the combination of the Beckes three-parameter adiabatic
connection exchange functional (B3) with the Lee–Yang–Parr
(LYP) correlation functional (B3LYP method) [18,19]. The second
DFT methodology, based on PBE1 exchange functional combined
with the PBE correlation one10 (PBE0 method) is characterized
Gp −
Gr
p
r
where the indices p and r represent, respectively, the products and
the reactants of the processes under study.
All quantum chemical calculations for the purpose of the present
study were carried out with the Gaussian 09 series.