Acidity/Basicity of 2,2,2-Trifluoroethanethiol
J . Org. Chem., Vol. 61, No. 16, 1996 5487
of the potential energy as local minima and to evaluate
the zero-point energies, which were scaled by the empiri-
Ta ble 1. Exp er im en ta l Deter m in a tion of th e Ga s P h a se
Ba sicity of CF 3CH2SH
2
4c
∆∆GH+(std)a δ∆GH+(g)a ∆∆GH+ a
∆GBa
cal factor 0.893 298.
These geometries were then
reference
refined at the MP2/6-311+G(d,p) level.
27.5b
Cl3CCN
Cl3CCH2OH
CF3CO2CH3
-0.82
1.11
3.22
26.6(8)
27.1(1) 26.9
27.0(2) (SD = 0.2)
c
To investigate the charge redistributions undergone by
the neutral systems upon protonation and deprotonation,
we have carried out a topological analysis of the electronic
26.0
23.8b
a
All values in kcal/mol (1 cal ) 4.184 J ). b See text. c Deter-
mined in this work. Cl3CCH2OH was found to be 1.50 kcal/mol
more basic than Cl3CCN and 2.20 kcal/mol less basic than
CF3CO2CH3.
2
25
charge density, F, and its Laplacian, ∇ F. In general,
bond reinforcements and bond activations imply signifi-
cant changes of the charge density and its Laplacian at
the corresponding bond critical points, defined as points
where the charge density is minimum along the bond
path and maximum in the other two directions. Bader
and co-workers have shown that the existence of these
critical points is associated with the existence of a bond.
Exp er im en ta l Resu lts
(1) Ga s P h a se Ba sicities. Table 1 presents the
results of proton-transfer equilibria (5) between 4 and a
series of standard reference bases. The values of δ∆GH (g)
given in this table are defined by means of eq 7.
All gas phase basicities, ∆GB, are referred to ammonia.
+
2
More importantly, the values of F and ∇ F at the bond
critical points (bcps) permit classification of the nature
of the interaction as covalent, ionic, etc. and may be used
as a quantitative measure of the strength of the bond,
since negative values of the Laplacian indicate that
charge density increases in that region, while positive
values are generally associated with charge depletion.
Hence, an increase (decrease in the absolute value) of
the (negative) Laplacian indicates2 that the bond is
somewhat activated, while an increase is associated with
a bond reinforcement process. Another index of interest
which may be defined in this topological analysis is the
Thus, with respect to this reference, ∆GB(4) ) -∆∆GH (g)
+
for reaction 8:
CF CH SH(g) + NH +(g) a
3
2
4
+
CF CH SH (g) + NH (g)
∆∆GH
+
(g) (8)
3
2
2
3
6a
∆
∆GH+(g) is the average of the ∆∆G values obtained
through eq 9:
∆
∆G ) δ∆GH
+
(g) + ∆∆GH
+
(std)
(9)
elipticity of the bond, defined as ꢀ ) 1 - λ
1
/λ
2
, where λ
1
and λ are the two negative values of the Hessian of F,
2
where ∆∆GH+(std) pertains to reaction 10:
evaluated at the bcp. Obviously, these two values will
be identical only for those bonds which, as the single and
the triple bonds, have cylindrical symmetry, for which
the elipticity will be zero.
+
+
B (g) + NH (g) a B H (g) + NH (g) (10)
ref
4
ref
3
H
The values of ∆∆G (std) used in this work have been
determined in Prof. Taft’s laboratory and are given in
refs 2 and 4.
+
This topological analysis is carried out on the wave
function correct to first order, to take explicitly into
account the electron correlation effects. For this purpose,
we have used the AIMPAC27 series of programs.
Since predicted structural variations can be qualita-
tively rationalized in terms of the bonding indexes, such
as hybridization parameters, we have also carried out a
natural bond order analysis28 at both the HF and MP2
levels. Values derived in this way are compatible with
the classical notion of hybridization, as introduced by
Pauling.
Inasmuch as the entropy change for reaction 1 cannot
be obtained directly from the FTICR experiments, we
have used the value computed at the 6-31G**//6-31G**
-
1
-1
level, 24.2 cal mol
K . This value combines the
+
contribution from S(H ) as determined from the Sackur-
Tetrode equation with those from ∆S(rot) and ∆S(vib)
for the molecules and ions as determined by means of
the partition functions calculated at the 6-31G**//6-31G**
level. The standard state is 298 K and 1 atm (0.1 MPa).
Combining these values with the most recent values
(24) (a) Hehre, W. J .; Radom, L.; Schleyer, P. v. R.; Pople, J . A. Ab
-
1
initio Molecular Orbital Theory; J ohn Wiley & Sons: New York, 1986;
pp 86-88. (b) Frisch, M. J .; Trucks, C. W.; Schlegel, H. B.; Cill, D. M.
W.; J ohnson, B. G.; Robb, M. A.; Cheeseman, J . R.; Keith, T.; Petersson,
G. A.; Montgomery, J . A.; Raghavachari, K.; Al- Laham, M. A.;
Zakrzewski, V. G.; Ortiz, J . V.; Foresman, J . B.; Peng C. Y.; Ayala, P.
Y.; Chen, W.; Wong, M. W.; Andr e´ s, J . L.; Replogle, E. S.; Gomperts,
R.; Martin, R. L.; Fox, D. J .; Binley, J . S.; Defrees, D. J .; Baker, J .;
Stewart, J . P.; Head-Gordon, M.; Gonz a´ lez, C.; Pople, J . A. Gaussian
of GB(NH
3 3
) and PA(NH ), 195.3 and 203.5 kcal mol ,
29
respectively, we obtain GB(4) ) 168.4 ( 0.2 and PA(4)
-
1
)
175.6 ( 0.2 kcal mol
.
(2) Ga s P h a se Acid ity. The Gibbs energy change for
reaction 3, ∆Gacid(g)(av), is the average of the ∆Gacid(g)
values obtained through eq 11:
9
4, Revision B.3; Gaussian Inc.: Pittsburgh, PA, 1995. (c) Pople, J .
A.; Schlegel, H. B.; Krishnan, R.; Defrees, D. J .; Binkley, J . S.; Frisch,
M. J .; Whitesode, R. A.; Hout, R. F.; Hehre, W. J . Int. J . Quantum
Chem. Symp. 1981, 15, 269.
∆
Gacid(g) ) δ∆Gacid(g) + ∆Gacid(std)
(11)
(12)
(
25) (a) Bader, R. W. F.; Ess e´ n, H. J . Chem. Phys. 1984, 80, 1943-
wherein ∆Gacid(std) pertains to reaction 12:
1
960. (b) Bader, R. W. F.; MacDougall, P. J .; Lau, C. D. H. J . Am.
Chem. Soc. 1984, 106, 1594-1605. (c) Bader, R. W. F. Atoms in
Molecules. A Quantum Theory; Oxford University Press: New York,
AHstd(g) a A- (g) + H (g)
+
std
1
990.
26) (a) Alcam ´ı , M.; M o´ , O.; Y a´ n˜ ez, M.; Abboud, J .-L. M.; Elguero,
(
J . Chem. Phys. Lett. 1990, 172, 471-477. (b) Tipping, A. E.; J im e´ nez,
P.; Ballesteros, E.; Abboud, J .-L. M.; Y a´ n˜ ez, M.; Essefar, M.; Elguero,
J . J . Org. Chem. 1994, 59, 1039-1046. (c) Esseffar, M.; El Mouhtadi,
M.; L o´ pez, V.; Y a´ n˜ ez, M. J . Mol. Struct. (Theochem) 1992, 255, 393.
Experimental results are summarized in Table 2. From
these results, we obtain ∆Gacid(4) ) 335.6 ( 0.3 kcal
mol . The corresponding standard enthalpy change is
∆Hacid(4) ) 342.4 ( 0.3 kcal mol using the computed
see above) entropy change ( 22.8 cal mol
-
1
-
1
(
27) The AIMPAC program was kindly provided by J . R. Cheseman
and R. W. F. Bader.
28) (a) Carpenter, J . E.; Weinhold, F. J . Mol. Struct. (Theochem)
-1
-1
(
K ).
(
1
7
1
988, 169, 41-62. (b) Reed, A. E.; Weinhold, F. J . Chem. Phys. 1983,
8, 4066-4073. Reed, A. E.; Curtiss, L. A.; Weinhold, F. Chem. Rev.
988, 88, 899-926.
(29) Szulejko, J . E.; McMahon, T. B. J . Am. Chem. Soc. 1993, 115,
7839-7847.