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Geometrical optimization and electrostatic potential calculations have been per- formed for a series Of halogenated hydrocarbons at the HF/Gen-6d level. A number of electrostatic potentials and the statistically based structural descriptors derived from t
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27
卷
4
期
2
∞
8.4
结构
fι
学
CJIEGOU
HUAXUE)
Chinese
J.
Struct.
Chem.
Vo
l.
27
,
No
.4
491-497
Prediction of Infinite Dilution Activity Coefficients
of Halogenated Hydrocarbons in Water
XU
Hui-Ying
(
MIN
Jian-Qing
(College
of
Biology & Environment Engineering,
Zh
写
;iang
Shuren
Universi
η"
Hangzhou 310015, China)
ABSTRACT Geometrical optimization and electrostatic potential calculations have been per-
formed for a series
of
halogenated hydrocarbons
at
the
HFI
Gen-6d level. A number
of
electrostatic
poten
出
Is
and the statistically based structural descriptors derived from these electrostatic potentials
have been obtained. Multiple linear regression analysis and artificial neural network are employed
simultaneously
in
由
is
paper. The result
shows
由
at
the parameters deri ved from electrostatic
potentials
σLt
,
Vsmd
Z
町,
together with the molecular volume
(V
mc) can
be
used to ex-
press the quantitative structure-infinite dilution activity coefficients
(y
∞)
relationship of halogenated
hydrocarbons
in
water. The result also demonstrates that the model obtained by using BFGS
qu
臼
i
Newton neural network method has much better predictive capability
than
出
at
from multiple linear
regression.
The goodness
of
the model has been validated through exploring the predictive power
for the extemal test set.
The model obtained via neural network may be applied to predict
y
∞
of
other halogenated hydrocarbons not present in the data se
t.
Keywords: halogenated hydrocarbons, molecular electrostatic potentials,
iI
ñmite
dilution
activity coefficients
(1'
勺,
QSPR
, artiflcial neural networks
1 INTRODUCTION
Kn
owledge
of
the thermodynamic behavior
of
dilute aqueous solutions is extremely important for
the design
of
many
separ
四
on
processes like those
involving the separation
of
a dilute pollutant from a
waste stream.
In the environinen
ta1
area
,出
e
sep
缸
a
tion of solvents and other hazardous chemicals
at
very luw
concentration
仕
om
drinking water
is
of
greatly important operations
, such
as
halogenated
organic chemicals in water.
The thermodynamic be-
havior of dilute aqueous solutions conducts how
these separation
pr
∞
esses
can be carried out suc-
cessfully.
Received 24 July
2
∞
'7;
accep
臼
d
6 November 2007
①
Corr
,臼
pαlding
au
血。
r.
Xu Hui.Ying,
bom
in 1965, associate professor,
m
电
joring
in
quantum chemical sludy. E-mail: xuhy65@163.com
f provide means to
s
阳
dy
this behavior
and
can
determine directly the phase equilibria
of
dilute
aqueous solutions. A number
of
different ex-
perimental methods are available
now
for
the
mea-
surement
of
f
[l
-3].
f
of
some halogenated
hydr
,。
carbons were also
measured(4].
Nonetheless, due to
the time-consuming and high expense
, it
is
nearly
impossible to determine experimentally
f for all
halogenated organic chemicals. UNIFAC (UNI-
QUAC functional group activity coefficientsp] and
ASOG (analytical solution
of
groupsi
6
]
are
the
most
commonly used prediction methods for liquid phase
activity coefficients
, and both
of
them are group-
contribution methods.
Though these methods
may
492
XU
H.
Y.
et al.: Pr
ediction
of
Infinite
Dilution
Activity
Coeffici
巳
nts
of
Halogenated
Hydrocarbons
in
Water
No.4
dove
可
we
lI
for organic systems where the variation
range
in
y'"
is relatively smalI, they are not suitable
to
aqueous systems with quite large variation range
in
f
Altemative approaches are needed. Some pre-
vious studies showed that it was indeed feasible to
predict the properties or activities with quantitative
structure-property/activity relationship (QSPRJ
QSAR) models for many organic
compounds[7-14
1
•
However, this kind
of
studies on estimating the
aqueous infinite dilution activity coefficient is sti
lI
limited[15
,
16
1
The choice
of
appropriate structural parameters
plays a pivotal role in the QSPR study. It has been
known that most
of
the physicochemical properties
are associated with intermolecular uncovalent
interaction
, which
is
mostly electrostatic in nature,
and electrostatic potentials, especially those distri-
buted on the molecular surface
, can be well used to
quanti
市
the
molecular interactions. In
fact
,也
e
structural descriptors
derived
仕
om
the molecular
electrostatic potentials have been successfully appli-
ed in research
of
the quantitative structure-property
(activity) relationships[17-20
1
, and their application
range is being increasingly extended[7
, 21-2
3
1.
In this
pape
巳
we
report a QSPR study that correlates the
infinite dilution activity coefficients in water
of
76
halogenated hydrocarbons with their structural des-
criptors
derived
企
om
the molecular surface elec-
trostatic potentials. It
se
凹
es
to provide a new effec-
tive method for predicting
f
of
halogenated
0
电
anic
compounds in water.
2 METHODS
The initial geometries
of
each compound were
optimized and frequency calculations were carried
out with MOPAC 6.0 program implemented
in
VEGA package25 using
AMl
method (keywords:
"PRECISE"
, "GEO-OK"p4
1
•
Vibrational analyses
showed
由
at
all
of
the species have no imaginary
vibrational frequency
, indicating the nature öf the
stationary point structures.
Then the molecular ge
o-
metries were re-optimized at the HF/Gen-6d level
with Gaussian98 software
packagé
ð1
• Based
on
these optimized geometries, calculations
of
elec-
tronic density and electrostatic potentials
wi
出
grid
method were performed. The grid control option
was
set to "cube = 100"; therefore, for each molecule,
there are about 100
3
points at which the values of
electronic density and electrostatic potentials were
computed. Subsequen
t1
y, a series
of
statistically-
based indices derived from these electrostatic
potentials
, mostly according to Murray et aly7
1
,
were obtained. The descriptors used
in
this paper
include:
(l)
V s, average value
of
the electrostatic poten-
tials
oil the molecular surface.
(2)
L:
V/
' defined as the sum
of
the surface
maximum values
of
the electrostatic potential. The
sum started from the most positive potential
on
the
molecular surface
, and
if
two
Vs
,
max
(the maxima of
electrostatic potentials on the sUrface) appeared
within 2.1
Å
of
each other, only the maxima with the
most positive potential was involved in the sum.
(3)σ~ot'
viewed
as
a measure
of
electrostatic
interaction tendency. The definition is given
in
Eq. (i)
[171
σ:t=σid=
抖
1
V+(
罚)
_ V
s
+
1
2
寸土
IV
一仲开
1
2
where V+(r;) and
V
一句)
are the positive and
negative electrostatic potential values at point
rj
on
the molecular surface, respectively, and
V/
and
v
s
-
are their averages.
Furthermore
, because the physicochemical pro-
perties have close relation to the molecular weight
,
、‘
.J
-1
,,,‘、
surface area (As) and volume
(V
mc)
, these parame-
ters were ca
Ic
ulated with TSAR3.3 software package.
Finally
, correlation between the structural para-
meters and the infinite dilution activity
c
倪
fficients
(俨)
of
the halogenated hydrocarbons in water
was
established by multiple linear regression method and
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