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Y. Todoroki et al. / Tetrahedron 56 (2000) 1649–1653
The isomerization of 2 to 3 is a cyclization reaction
triggered by intramolecular conjugated nucleophilic
addition of the oxygen of the 80-hydroxyl group to the elec-
tron-deficient C-20, which is present in the b-position of the
a,b-unsaturated carbonyl group. This reaction should be
promoted by deprotonation of the 80-hydroxyl group or
protonation on the 40-carbonyl oxygen. This means that
the reaction rate can be affected by pH of media. In fact,
2 was more stable under acidic than alkaline conditions.6
The electronic state of the enone moiety in the ring of 2
will also be a significant factor affecting the isomerization
rate. Previously, we found that the methyl ester of 6 slowly
isomerized to the methyl esters of 7 and 30b-fluorophaseic
acids (8).8,9 However, quantitative analysis of the isomeri-
zation process has not been reported. In the present study,
we examined the equilibrium ratios and the isomerization
rates of 2/3 and 6/7 in aqueous solution buffered at various
pHs and temperatures. The thermodynamic and kinetic
characteristics of the isomerization process are discussed
on the basis of computer-aided molecular orbital analysis
of model compounds in addition to experimental results.
It was necessary to determine the ratio of molar absorption
coefficient (e) between 2 and 3, and 6 and 7, to correct the
isomeric ratios based on peak areas in HPLC with the UV-
detector (254 nm). It would be difficult to precisely measure
the absolute ratio of e of these metabolites, especially that of
the labile metabolite 2, under these analytical conditions.
So, we obtained the relative value by comparing the ratio
of peak-area of the two isomers in the mixtures at the
various isomeric ratios (see Experimental). The obtained
relative ratio of e at 254 nm was 1.18 for 2/3, and 1.27
for 6/7. Peak areas of 2 and 3, and 6 and 7 were corrected
by the relative ratio of e to give the precise molar ratio of the
each isomeric pair.
Equilibrium ratios
The metabolites 2 and 6 were incubated at three tempera-
tures (5, 15 and 25ЊC; and 15, 25 and 35ЊC, respectively)
and in eight buffer solutions (pH 3–10). After a three-week
incubation, the ratio of isomers was measured by HPLC
with the above relative ratio of e. The 2/3 ratio was 2:98
under all pH and temperature conditions used; the free
energy difference (DGЊ) was Ϫ2.3 kcal/mol. The 6/7/8
ratio changed according to temperature, but not according
to pH. The isomer 8 with the axial fluorine was not found
under any conditions, probably because its axial fluorine is
1,3-diaxial to the side-chain and cannot be thermodynamic-
ally labilized. The 6/7 ratio was 14:86 (DGЊϪ1.03 kcal/
mol) at 15ЊC, 16:84 (DGЊϪ0.98 kcal/mol) at 25ЊC, and
18:82 (DGЊϪ0.92 kcal/mol) at 35ЊC; that is, the propor-
tion of 6 became larger as temperature increased. Thus, the
isomerization of 6 to 7 had negative entropy (DSЊϽ0),
which was estimated to be about Ϫ5.5 cal/mol deg if the
enthalpy (DHЊ) and DSЊ were little affected by alterations
in temperature. Isomerization formed the bicyclo[3.2.1]-
octane ring, so the negative entropy could be attributed to
a decrease in the flexibility. This must be true also of the
isomerization of 2 to 3, meaning that the 2/3 ratio should
also be dependent on temperature. However, we found no
such temperature dependency for the 2/3-equilibrium ratio.
If DSЊ for the isomerization of 2 to 3 was similar to that for
the isomerization of 6 to 7, then the population of 3 at 5ЊC
should be about 1.7%, which is smaller than that at 25ЊC by
only 0.3 points. Such a difference was too small to be
detected by our HPLC analysis.
Results and Discussion
Preparation of 2 and 6
1
Precise analysis of the H NMR spectrum of 3 showed the
presence of small signals corresponding to 2 at an intensity
of 1–2% of those of 3, confirming that a methanol solution
of 3 is actually a tautomeric mixture of 3 and a trace amount
of 2. Careful analysis of the methanol solution of 3 by HPLC
with an ODS column revealed the existence of a small peak
that eluted after 3.4 The compound corresponding to the
peak was collected, and it showed signals similar to those
of 1 on 1H NMR, except the absence of the methyl protons,
H3-80, and existence of an AB quartet at d 3.56 and 3.70,
which corresponds to the methylene protons adjacent to an
oxygen atom (Table 1). This compound was partially
converted to 3 on heating during concentration. Therefore,
this compound was identified as 2. The isolated 2 isomer-
ized slowly even in acidic solutions at Ϫ20ЊC, so it was used
for kinetic analysis of the isomerization as soon as possible
after isolation by HPLC, without concentration. Metabolite
6 was isolated from a rice cell suspension culture fed with
5.8
The above findings showed that the introduction of a
fluorine at C-30 stabilizes the 80-hydroxy compound
compared to the cyclized compound. We performed ab
initio molecular orbital calculations in the MP2/6-
311ϩG(d,p)//HF/6-31G(d) level, for the model reactions:
ethane!fluoroethane; and ethene!fluoroethene. This
substitution reaction by fluorine was more exoergic for
ethene than for ethane by ca. 2 kcal/mol. This agreed with
the observation that 2 was better stabilized than 3 by the
C-30 fluorine. This stabilization may have been due to
delocalization of electrons or less non-bonded repulsion in
sp2 hybridization compared to sp3.
Table 1. The 1H NMR signals of 1, 2, and 3 in methanol-d4 (values for the
chemical shifts are in d (ppm), and those for the coupling constants in
parentheses are in J (Hz)
H
1
2
3
2
4
5
6
30
5.74 (s)
5.84 (s)
5.79 (s)
7.77 (dd, 16.2, 0.6)
6.23 (dd, 16.2, 0.4)
2.03 (s)
7.56 (d, 16.1)
5.92 (d, 16.1)
1.94 (s)
8.10 (d, 16.0)
6.45 (d, 16.0)
1.94 (s)
2.70 (dd, 18.0, 2.4)
2.80 (d, 18.0)
2.39 (dd, 18.0, 2.4)
2.47 (dd, 18.0, 2.8)
1.22 (s)
5.92 (s)
5.90 (s)
50
2.18 (dd, 16.9, 0.5)
2.53 (d, 16.9)
1.93 (s)
2.37 (d, 17.2)
2.48 (d, 17.2)
1.91 (s)
3.56 (d, 11.1)
3.70 (d, 11.1)
1.06 (s)
70
80
Kinetic analysis
1.06 (s)
3.67 (d, 7.7)
3.95 (dd, 7.7, 2.8)
1.01 (s)
The isomerization rates for 2 and 6 were measured under
the same conditions as the equilibrium ratios. Under all
90
1.03 (s)