Valente et al.
of corresponding N-hydroxymethylazetidin-2-one 8 (3 mmol)
and triethylamine (3.6 mmol) in dichloromethane (3 mL) at 0
°C. When the reaction was complete (as assessed by TLC using
ethyl ether/petroleum ether 7:3 as eluant), the reaction
mixture was filtered and the dichloromethane solution sub-
sequently dried evaporated. The residue was purified by
column chromatography (silica gel 60) using diethyl ether as
eluant.
(2-Oxoa zetid in -1-yl)m eth yl Ben zoa te 6a . Prepared from
8a and benzoyl chloride (16%): mp 64-65 °C; 1H NMR (CDCl3)
δ 3.10 (2H, t, J ) 4.2 Hz, C3-H), 3.60 (2H, t, J ) 4.0 Hz, C4-H),
5.52 (2H, s, NCH2O), 7.43-8.35 (5H, m, ArH); IR (film) 1780,
1735 cm-1. Anal. Calcd for C11H11NO3: C, 64.38; H, 5.40;
N,6.83. Found: C, 64.19; H, 5.31; N, 7.02.
Another major finding is that both N-acyloxymethyl-
azetidin-2-ones 6 and their acyclic amide counterparts
(e.g., 7) appear to undergo the same SN1-type mechanism
in the pH-independent region. To gain further insight
into the structural effects on iminium ion formation, ab
initio calculations were carried out at G3MP2B3 and
B3LYP/6-31+G(d) levels of theory.42,43 Heats of formation,
∆Hf, for the fully geometry-optimized structures of the
E and Z rotamers of N-acetoxymethyl-N-methylaceta-
mide, and also for the N-acetoxymethylazetidin-2-one,
together with the differences, ∆∆Hf, between each mol-
ecule and its corresponding iminium ion, are contained
in the Supporting Information (Table SI2). These data
indicate that iminium ion formation is disfavored (∆∆Hf
1182 kJ mol-1) from N-acetoxymethylazetidin-2-one by
13-18 kJ mol-1 as compared with the acyclic counterpart
(∆∆Hf 1164 (Z rotamer) and 1169 (E rotamer) kJ mol-1).
This is consistent with the experimental observation that
compound 6a is ca. 25 times less reactive than the acyclic
ester 7 in the pH-independent region. Interestingly,
calculation for the iminium ion 10 computed at the
B3LYP/6-31+G(d) level of theory shows that in the
LUMO the pz orbital of the exocyclic carbon atom
represents the highest coefficient of electron probability
(Supporting Information, Figure SI1). Its value is of about
0.46, while the coefficients in the other atoms are all
smaller than 0.30. Moreover, the LUMO reveals signifi-
cant π-bonding overlap between the â-lactam N and
carbonyl C atoms. While attack of the nucleophile at the
exocyclic C atom preserves this N-C π-bonding overlap
in the amide product, attack at the â-lactam carbonyl C
atom to form a tetrahedral intermediate destroys such
overlap. Thus, nucleophilic attack is predicted to take
place at the exocyclic carbon and, despite the presence
of a positively charged iminium ion leaving group, is
consistent with the observation that the pH-independent
hydrolysis of 6a -g occurs via cleavage of the ester C-O
bond rather than cleavage of the â-lactam acyl C-N
bond.
Data for compounds 6b-e can be found in the Supporting
Information
Kin etic P r oced u r es. (a ) Bu ffer s. All kinetic measure-
ments were carried out at 25.0 ( 0.1 °C, except where stated,
and with an ionic strength adjusted to 0.5 M by addition of
NaClO4. Sodium hydroxide and hydrochloric acid solutions
were prepared by dilution of standardized Titrisol stock
solutions. Sodium deuterioxide and deuterium chloride solu-
tions were prepared from dilution of NaOD 40% in D2O
(Aldrich) and DCl 37% in D2O stock solutions. Buffer materials
(chloroacetic acid, acetic acid, NaH2PO4, Na2HPO4, and Na2B4O7)
for kinetics were of analytical reagent grade, and the solvents
for HPLC were HPLC grade. Due to substrate solubility
problems, all buffers contained 20% (v/v) acetonitrile.
(b) Kin etics by UV Sp ectr op h otom etr y. Rate constants
were determined using UV spectrophotometry by recording the
decrease of substrate absorbance at fixed wavelength, using
a spectrophotometer equipped with a temperature controller.
In a typical run, reaction was initiated by adding a 15 µL
aliquot of a 10-2 M stock solution of substrate in acetonitrile
to a cuvette containing 3 mL3 of the buffer solution. The
pseudo-first-order rate constants were obtained by least-
squares treatment of log(At - A∞) data, where At and A∞
represent the absorbance at time t and at time infinity,
respectively. Rate constants derived using this method were
reproducible to (5%.
(c) Kin etics by HP LC. For those compounds that gave
small differences between the initial and final absorbances,
rate constants were determined by HPLC using an isocratic
system. In this method, a 15 µL aliquot of 10-2 M stock solution
of substrate was added to a reaction flask containing 3 mL of
the buffer solution. At regular intervals, samples of the
reaction mixture were analyzed on a Lichrosorb RP-8 column
(5 µm particles, 4 × 250 mm; Merck) with an eluant consisting
of acetonitrile/water (30:70 to 60:40, depending on the sub-
strate) at a flow rate of 1 mL/min. Rate constants derived using
this method were reproducible to (10%.
Id en tifica tion of P r od u cts. When reactions followed by
UV spectrophotometry were complete they were injected into
an HPLC apparatus and analyzed using an RP-18 (Merck)
column (5 mm particles, 4 × 125 mm) with the UV detector
tuned at 200 nm for compounds 6a -h and 230 nm for
compounds 6i-k . Some of the reactions were also analyzed
by LC-MS. Mass spectra were recorded using an LC-MS
system comprising a binary gradient pump coupled to a UV-
vis detector, a 15 cm × 4.6 mm i.d. Phenomenex LUNA C18-
(2) 5 µm column at 40 °C, and an electrospray ionization mass
spectrometer.
Th eor etica l Ca lcu la tion s. The enthalpies of formation,
∆Hf, for iminium ions were computed at the G3MP2B3 level
of theory.42 This is a variation of the Gaussian-3 approach with
zero-point vibrational and internal energy corrections for T )
298.15 K computed at the B3LYP/6-31G(d) level of theory43
and use reduced perturbation orders. The ∆Hf value for the
iminium ion derived from N-acetoxymethylazetidin-2-one was
obtained via the calculation of the enthalpy for the reaction
depicted in eq 5 (at the G3MP2B3 level of theory, ∆rH°T)298.15
K is 969.2 kJ mol-1) and considering the enthalpies of formation
Exp er im en ta l Section
Gen er a l P r oced u r e for N-Hyd r oxym eth yla zetid in -2-
on es 8. A suspension of the appropriate azetidin-2-one (15
mmol) and potassium carbonate (0.22 g) in a 37% aqueous
formaldehyde solution (161.3 mmol, 12 mL) was stirred at
room temperature for 24 h. The water was removed under
reduced pressure and the residue washed with dichlo-
romethane. The resulting dichloromethane extract was fil-
tered, evaporated, and chromatographed on silica gel 60
(0.063-0.200 mm particles) to give the corresponding N-hy-
droxymethylazetidin-2-one, 8.
N-Hydroxymethylazetidin-2-one 8a : yellowish oil (79%); 1H
NMR (DMSO-d6) δ 3.05 (2H, t, J ) 4.0 Hz, C3-H), 3.43 (2H, t,
J ) 4.0 Hz, C4-H), 4.75 (1H, t, J ) 3.0 Hz, OH), 4.95 (2H, d, J
) 3.0 Hz, NCH2O); IR (film) 3450, 1769. Anal. Calcd for C4H7-
NO2: C, 47.52; H, 6.98; N, 13.85. Found: C, 47.39; H, 7.10; N,
14.13.
Data for compounds 8b-e can be found in the Supporting
Information.
Gen er a l P r oced u r e for N-Acyloxym eth yla zetid in -2-
on es 6. A solution of the appropriate acid chloride (3.6 mmol)
in dichloromethane (3 mL) was added dropwise to a solution
(42) Curtiss, L. A.; Raghavachari, K.; Redfern, P. C.; Pople, J . A. J .
Chem. Phys. 2002, 112, 7374 and references therein.
(43) Becke, A. D. J . Chem. Phys. 1993, 98, 5648.
3366 J . Org. Chem., Vol. 69, No. 10, 2004