A series of hydrogen-bonding catalysts have been designed for the aromatic Claisen rearrangement of a 1,1-dimethylallyl coumarin. These catalysts were designed as mimics of the two-point hydrogen-bonding interaction present in ketosteroid isomerase that has been proposed to stabilize a developing negative charge on the ether oxygen in the migration of the double bond.1 Two hydrogen bond donating groups, a phenol alcohol and a carboxylic acid, were grafted onto a conformationally restrained spirocyclic scaffold, and together they enhance the rate of the Claisen rearrangement by a factor of 58 over the background reaction. Theoretical calculations correctly predict the most active catalyst and suggest that both preorganization and favorable interactions with the transition state of the reaction are responsible for the observed rate enhancement.
A series of hydrogen-bonding catalysts have been designed for the aromatic n class="Chemical">Claisen rearrangement of a 1,1-dimethylallyl coumarin. These catalysts were designed as mimics of the two-point hydrogen-bonding interaction present in ketosteroid isomerase that has been proposed to stabilize a developing negative charge on the ether oxygen in the migration of the double bond.1 Two hydrogen bond donating groups, a phenol alcohol and a carboxylic acid, were grafted onto a conformationally restrained spirocyclic scaffold, and together they enhance the rate of the Claisen rearrangement by a factor of 58 over the background reaction. Theoretical calculations correctly predict the most active catalyst and suggest that both preorganization and favorable interactions with the transition state of the reaction are responsible for the observed rate enhancement.
One
century after its discovery,[2] the
[3,3]-sigmatropic rearrangement of allyl vinyl ethers (i.e., the n class="Chemical">Claisen
rearrangement) continues to be extensively investigated and applied
in the synthesis of natural products and complex organic molecules.[3,4] Many efforts have been devoted to develop small molecule and biocatalysts
for this synthetically powerful reaction.[5,6] Attractive
noncovalent interactions are responsible for much of the rate accelerations
and stereoselectivities observed in enzyme catalysis, and active site
residues can stabilize the transition state by electrostatic and noncovalent
interactions.[7] A variety of dual hydrogen-bond
donor organocatalysts such as ureas, thio-ureas, guanidinium groups,
and bis-imidazoliums have been reported in the literature for Claisen
rearrangements.[6,8−13] Some biological catalysts have also been identified,[14−16] and de novo computational design strategies for
developing an aromatic Claisen biocatalyst have been carried out.[17] We are developing a new approach to the development
of organocatalysts called “spiroligozymes” wherein we
use transition state modeling to identify constellations of reactive
functional groups and then build those functional groups onto a spiroligomer
scaffold to see if they can act as organocatalysts.[18] In this manuscript, we describe the design and synthesis
of a series of bis-amino acid monomers fused to amino acids through
diketopiperazines, that accelerate the Claisen rearrangement of 1,1-dimethylallyl
coumarin. This paper reports the successful mimicry of the catalytic
dyad of bacterial ketosteroid isomerase (KSI) in a small spiroligozyme
and the catalysis of an aromatic Claisen rearrangement of a 1,1-dimethylallyl
coumarin.
Aromatic Claisen rearrangements are typically performed
in the
temperature range of 180–225 °C,[19] and proceed through a concerted pericyclic pathway followed by a
keto/enol tautomerization that restores aromaticity. The cyclic transition
state of the n class="Chemical">Claisen rearrangement is key for understanding a number
of phenomena. These include the effect of solvent on the rate of the
reaction,[20−27] substituent effects, and stereoselectivity.[4] There is one well-established enzyme-catalyzed Claisen rearrangement,
the chorismate to prephenate transformation catalyzed by chorismate
mutase.[28−33] The Claisen rearrangement of O-prenylatedtyrosines in a prenyltransferase
from the TruF enzyme family has also been proposed,[16] and catalytic antibodies have been developed for the chorismate
to prephenate conversion.[34−36]
Considerable acceleration
of the Claisen rearrangement can be achieved
by employing n class="Chemical">hydrogen-bonding solvents, especially water.[25,26,28,37−40] In 1987, Carpenter and co-workers first reported the acceleration
of the Claisen rearrangement of chorismic acid and related compounds
in aqueous media.[28] The rate of the aromatic
Claisen rearrangement of allyl naphthyl ether was also increased in
aqueous suspensions relative to other organic solvents such as toluene,
dimethylformamide, acetonitrile, and methanol.[41] Sharpless reported “on-water” catalysis of
a Diels–Alder reaction and aromatic Claisen rearrangement.
Several examples from his lab illustrated the substantial rate acceleration
of the reactions when insoluble reactants were stirred in aqueous
suspension. This “on water” catalysis has prompted several
computational studies to unravel the origin of the rate acceleration
in water and hydrogen-bonding solvents.[20,21,26,28,38,42] It was found that the aqueous
acceleration of the Claisen rearrangement is due to a greater stabilization
of the transition state by specific interactions with first shell
solvent molecules.[17,38,43−45] Jorgensen and co-workers computationally studied
the acceleration of the Claisen rearrangement in water. The model
consisted of two explicit water molecules around the core heteroatom
of the allyl vinyl ether.[21]
Curran
et al. discovered that dual hydrogen-bonding catalysts such
as n class="Chemical">ureas and thioureas accelerate the Claisen rearrangement and measured
modest rate accelerations using NMR experiments.[9] In addition, protonated catalysts including those based
on guanidinium,[11] quinolinium thioamide,[46] and ammonium[26,47] structures
were also studied. The latter positively charged catalysts tend to
activate electrophiles more strongly than the neutral compounds.[10] Jacobsen and co-workers have developed diphenylguanadinium
salts as stereoselective Claisen rearrangement catalysts for a variety
of substituted allyl vinyl ethers and β-ketoester derivatives.[11,13] The mechanism by which the guanidinium catalysts promote the Claisen
rearrangement was also studied both experimentally and theoretically.[6,12] The catalysis is mainly achieved by stabilization of the developing
negative charge on the oxallyl fragment, and by a secondary attractive
interaction between the π-system of the catalyst and the partially
positive allyl cation fragment.[12] Kozlowski
and co-workers designed a bisamidinium catalyst salt able to catalyze
the Claisen rearrangement through a two-point hydrogen bonding stabilization
of the negatively charged ether oxygen in the transition state.[8]
The most prominent biological example of
a Claisen rearrangement
is the enzyme n class="Chemical">Chorismate mutase, which
catalyzes the Claisen rearrangement of chorismate to prephenate more
than a million-fold relative to the uncatalyzed process.[15] Hilvert and co-workers have also studied the
enzyme catalyzed Cope rearrangement of carbachorismate to carbaprephenate
in the enzyme Bacillus subtilischorismate
mutase (BsCM).[14] They showed that a positively
charged residue at position 88 or 90 is essential for stabilization
of the transition state of the enzymatic chorismate rearrangement.[14] Borden and Houk studied models for this rearrangement
and tested different theozymes to determine the effect of different
side chains in chorismate mutase.[48] Bertran
et al. performed a QM/MM study where two different transition states
were located for the chorismate conversion to prephenate. It was found
that the enzyme stabilizes one of the transition states (TS) by means
of hydrogen bonding interactions, while the other TS located, corresponded
to the preferred one in vacuum and in water.[49] They found that aqueous solution and BsCM active site environments
reduce the free energy barriers more than in the gas phase for both
reactions. The catalytic effect was mainly attributed to the enhanced
electrostatic stabilization of the transition state relative to the
starting substrate in the Claisen rearrangement.[50]
Very recently, LynF, a prenyltransferase from the
TruF enzyme family,
was characterized.[16] This enzyme performs
O-prenylation of tyrosine, n class="Chemical">serine, and threonine in cyclic peptides.
It was found that at physiological temperature and in aqueous buffer,
O-prenylatedtyrosine derivatives undergo spontaneous Claisen rearrangements.
In recent years, novel enzyme catalysts for the Kemp elimination,[51] retro-aldol,[52] and
Diels–Alder[53] reactions have been
designed, making use of the so-called “Inside-Out” approach.
The first step of this protocol involves quantum mechanical calculations
of the ideal arrangement of catalytic groups around the transition
state of a reaction; these computed complexes are called theozymes
(short for theoretical enzymes).[54−56] Theozymes serve as models
for active site structures and for the prediction of activation barriers
relative to the uncatalyzed reaction in aqueous solution. The arrangement
of functional groups in the theozyme geometry is then incorporated
into protein scaffolds from the Protein Data Bank[57] using the computational package RosettaMatch.[58] The active sites of the generated proteins are
then minimized and repacked, and amino acids in the vicinity of the
active site are mutated to stabilize the ideal transition state geometry.
This process is performed using the RosettaDesign package.[59,60] The Inside-Out approach has been satisfactorily applied in the above-mentioned
cases (Kemp elimination, retro-aldol, and Diels–Alder reaction),
but it has some important limitations. Up until now, most active designed
enzymes still perform quite poorly in comparison with the natural
existing enzymes (i.e., natural enzymes have average kcat/kuncat of ∼1011, whereas artificial enzymes developed through computational
modeling and directed evolution have kcat/kuncat values that range from 102 to 105).[51−53,61] In part, this is due to the difficulty of designing a protein with
the same ideal geometry of functional groups present in the theozyme.The design and testing of small-molecule “enzyme mimics”
has been a tempting but frustrating target for organic chemists,[62−66] and occasional success has been reported.[10,67,68] We conceived the melding of the Inside-Out
approach with our recent successes in spiroligozyme syntheses to mount
catalytic groups from theozymes on a spiroligomer scaffold.[69] Spiroligomers are shape-programmable macromolecules
constructed by assembling stereochemically pure, cyclic, functionalized
bis-amino acids through pairs of n class="Chemical">amide bonds to create rigidified
scaffolds that present functional groups in controlled three-dimensional
constellations by virtue of the sequence, shape, and stereochemistry
inherent in each chiral building block.[70−72] Previously, spiroligomers
have been utilized as catalysts for the aldol reaction and transesterification
reaction.[18,69] We now report a combined computational and
experimental approach to use spiroligozymes as catalysts for the aromatic
Claisen rearrangement.
Results and Discussion
Design and Synthesis of Ketosteroid Isomerase-Inspired
Catalysts for the Aromatic Claisen Rearrangement
Bacterial
ketosteroid isomerase (n class="Chemical">KSI) is heavily utilized as a model system
for investigating fundamental aspects of enzyme catalysis.[1,73,74] Its natural function is the isomerization
of the position of a double bond in steroids. The mechanism involves
a general base that deprotonates the steroid forming a dienolate,
which is stabilized via hydrogen bonding with a tyrosine-16 residue
and a protonated aspartic acid-104 residue (see Figure 1a). The stabilized intermediate is reprotonated and the double
bond isomerized. The hydrogen bonding catalytic dyad was considered
a promising modality for the stabilization of the growing negative
charge in the transition state of the Claisen rearrangement (Figure 1). It was proposed by Gerlt and Gassman that the
formation of short, strong hydrogen bonds (SSHB, also called low-barrier
hydrogen bonds LBHB) between the KSI oxyanion hole and the reaction
intermediate stabilizes the transition state of the reaction.[75,76] There has been an intense debate about the role of SSHBs in enzyme
catalysis.[77,78]
Figure 1
(a) Molecular
model overlay of the active site of KSI (pdb code 3OWU(1)) with the spiroligomer mimetic BPC8. KSI is
displayed as a rainbow ribbon with Y16 and D103 shown in gray. Equilenin
is bound and also shown in gray. The spirocyclic catalyst BPC8 is displayed as dark green and is overlaid matching the oxygens
of the catalytic residues. (b) The theoretical enzyme model for the
KSI catalytic dyad.
We designed a series of
bioinspired spiroligozyme catalysts that display a carboxylic acid
and a n class="Chemical">phenol on a spiroligomer backbone that resembles the hydrogen
bonding catalytic dyad of KSI (see Figure 1b). The use of a phenol and carboxylic acid is a stark departure
from the currently utilized organocatalysts for the Claisen rearrangement,
which generally rely on N–H hydrogen-bond donors. The optimized
theozyme for the aromatic Claisen rearrangement using the KSI catalytic
dyad (i.e., Asp/Tyr; see Figure 1b) suggests
that a 105-fold acceleration with respect to the background
reaction could be achieved (at M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
and in CPCM implicit solvation for CH2Cl2 with
ε = 4).
Selection of the scaffold to tether the catalytic
residues was
accomplished by matching n class="Chemical">carboxylic acid/phenol functionalized Amber
94[79] minimized spiroligomer structural
motifs that we have synthetic access to against the crystal structure
data for KIS as shown in Figure 1a (pdb code 3OWU).[1] A scaffold previously used for studying electron transfer
in water was selected as a starting point for further optimization.[80] The scaffold features a single bis-amino acid
building block with one functional group introduced via a 2,5-dioxopiperazine
(DKP) ring and the other introduced via amide linkage at the pyrrolidinenitrogen forming a well-defined cleft between the two catalytic residues.
(a) Molecular
model overlay of the active site of KSI (pdb code 3OWU(1)) with the spiroligomer mimetic n class="Chemical">BPC8. KSI is
displayed as a rainbow ribbon with Y16 and D103 shown in gray. Equilenin
is bound and also shown in gray. The spirocyclic catalyst BPC8 is displayed as dark green and is overlaid matching the oxygens
of the catalytic residues. (b) The theoretical enzyme model for the
KSI catalytic dyad.
Synthetic Scheme
for the Solid Phase Assembly of Claisen Catalysts BPC1-10
(a) HMBA Resin (1.1
equiv), MSNT (2 equiv), NMI
(2 equiv), DCM (0.1 M); (b) 33% n class="Chemical">HBr in AcOH/DCM (1:1, 0.1 M); (c)
Benzoic Acid derivative (3 equiv), HATU (3 equiv), DIPEA (6 equiv),
NMP (0.2 M); (d) Substituted Amine (6 equiv), PyAOP (3 equiv), NMP
(0.2 M); (e) 20% Piperidine in DMF (0.1 M); (f) N-Boc-Amino Acid (3
equiv), HATU (3 equiv), DIPEA (6 equiv), NMP (0.2 M); (g) TFA/DCM
(1:1, 0.1 M); (h) 10% DIPEA in MeCN (0.05 M).
A series of molecules of this scaffold type were synthesized using
solid phase synthesis on HMBA resin (Scheme 1).[81] The bis-amino acid[82]1 was attached to HMBA resin with MSNT and
NMI inn class="Disease">DCM. The benzyl carbamate and tert-butyl ester
were then removed by treatment with 33% HBr in AcOH as a 1:1 volumetric
mixture with DCM. This treatment causes acetylation of all remaining
hydroxyl groups on the resin. The benzoic acid derivative was introduced
using HATU and DIPEA in NMP. The C-2 carboxylic acid was converted
to an amide using PyAOP and the amine R3R4NH
in NMP to form the resin bound intermediate 2. The Fmoc
group was removed using a 20% solution of piperidine in DMF. The phenylalanine
derivative was then introduced using HATU and DIPEA in NMP to produce
intermediate 3. The tert-butyl carbamate,
ester, and ether were removed with treatment with a 1:1 volumetric
mixture of TFA and DCM. The DKP was closed and subsequent cleavage
from the resin was affected with a 10% solution of DIPEA in MeCN.
Purification with C18 reverse phase HPLC yielded the pure
catalysts BPC1–10 in 60–70% isolated yields
(Table 1).
Scheme 1
Synthetic Scheme
for the Solid Phase Assembly of Claisen Catalysts BPC1-10
Kinetic Data for
the Aromatic Claisen
Rearrangement of 4 to 5
entry
catalyst
C-2
C-4
A
R1
R2
R3/R4
R5
R6
krel
1
none
-
-
-
-
-
-
-
-
1
2
BPC1
S
S
S
4-COOH
OH
iBu/H
H
H
11
3
BPC2
S
S
S
4-COOH
OH
H/H
H
H
10
4
BPC3
S
S
S
4-COOH
OH
iBu/iBu
H
H
10
5
BPC4
S
S
R
4-COOH
OH
iBu/H
H
H
2
6
BPC5
S
S
S
4-COOH
H
iBu/H
H
H
2
7
PhCOOH
-
-
-
-
-
-
-
-
2
8
BPC6
S
S
S
3-COOH
OH
iBu/H
H
H
8
9
BPC7
S
S
S
2-COOH
OH
iBu/H
H
H
4
10
BPC8
S
S
S
4-OH
COOH
iBu/H
H
H
30
11
BPC9
S
S
S
3-OH
COOH
iBu/H
H
H
6
12
BPC10
S
S
S
2-OH
COOH
iBu/H
H
H
4
13
DPGB*
-
-
-
-
-
-
-
-
14
14
BPC11
S
S
S
4-OH
COOH
iBu/H
H
Bn
42
15
BPC12
S
S
S
4-OH
COOH
iBu/H
Bn
H
40
16
BPC13
S
S
S
4-OH
COOH
iBu/H
Bn
Bn
58
The series of catalysts BPC1–10 and controls
were tested for acceleration of the aromatic n class="Chemical">Claisen rearrangement
of the 1,1-dimethylallyl coumarin substrate 4. Catalyst
was added at 20 mol % relative to the substrate 4 at
0.2 M in dichloroethane. The reaction vessels were sealed and stirred
magnetically at 60 °C for 84 h. High-density polypropylene vessels
had to be used because untreated glass vessels lead to decomposition
of the reagent, presumably catalyzed by trace acid. The reactions
were analyzed by HPLC-MS. Percent conversions were obtained by comparison
of the area contributions from the product 5 and starting
material peaks. Rate constants were determined by fitting the concentration
of product with respect to time using a first-order kinetics model.
Table 1 lists relative rate constants for the
catalysts as well as benzoic acid and diphenylguanidinium BARF catalyst.[11]
The compound BPC1 displayed
a 11-fold rate enhancement
relative to the background reaction (entries 1–2). n class="Chemical">BPC1 was designed to display a terephthalic acid and a tyrosine in order
to project a carboxylic acid and a phenol alcohol toward each other.
Molecular modeling suggested that this would direct the terephthalic
acid and phenol toward each other so that they could both simultaneously
act as hydrogen bond donors to a single ether oxygen atom. This close
approach of these two hydrogen-bonding groups is promoted by the stereochemistry
of the spirofused pyrrolidine and diketopiperazine ring onto which
the groups are mounted (Figure 1a). This close
approach is analogous to the close approach that is achieved when
a pyrene and a para-dimethylaniline group are displayed
in place of the terephthalic acid and phenol.[80] The C-2amide was modified to primary and tertiary amides (entries
3 and 4) to create the catalysts BPC2 and BPC3 which are more soluble in dichloroethane, and this does not effect
the catalytic rate, suggesting that the C2 amide is not involved in
hydrogen bond stabilization of the transition state. The cooperativity
of the two hydrogen bond donor groups was probed by altering the stereochemistry
of the bicyclic backbone to create BPC4, which modeling
suggests would pull the two donors away from each other (entry 5)—and
the activity of BPC4 drops to 2-fold above background,
which is similar to the activity of benzoic acid alone (entry 7).
The cooperativity was further probed by removing the phenol alcohol
using phenylalanine in place of tyrosine to form BPC5 (entry 6) and its activity is equivalent to BPC4 and
benzoic acid. Altering the substitution of the carboxylic acid on
the benzoic acid derivative to meta (BPC6) and ortho
(BPC7) leads to less well-aligned hydrogen bond donor
groups by modeling and leads to lower activity catalysts (entries
8 and 9). Swapping the positions of the alcohol and the carboxylic
acid (BPC8) brings the carboxylic acid and phenol alcohol
in better alignment to simultaneously donate two hydrogen bonds to
a single oxygen and increased the relative rate to 30-fold over background
(entry 10). Altering the position of the alcohol on the benzoic acid
derivative to meta (BPC9) and ortho (BPC10) also leads to less-well-aligned hydrogen bond donor groups by modeling
and led to less active catalysts (entries 11 and 12). Diphenyl guanidinium
BARF (DPGB; entry 13) is a prototype of a series of asymmetric catalysts
of the Claisen rearrangement developed by the Jacobsen group.[11] Under these reaction conditions, DPGB generated
the product 5 with a krel of 14; however, concomitant with product formation, significant
amounts of side products were formed, as observed by analytical reverse
phase C18 HPLC analysis during the course of the reaction.
Among these side products, the free coumarin was observed, indicating
that the guanidinium catalyst is effective, under these reaction conditions,
at breaking the ether linkage between the coumarinoxygen and allylic
carbon, possibly by acting as a Bronsted acid.
Modeling suggests
that the diketopiperazine ring of the n class="Chemical">BPC scaffold
exists in a boat-like conformation. The boat conformation and the
rotamer preferences of the functional groups could be altered through
N-alkylation of the amidenitrogens within the diketopiperazine ring,
and this could alter the presentation of the phenol and carboxylic
acid groups and change their catalytic activity. Dichloroethane solutions
of BPC1–10 are cloudy at room temperature, although
clear at 60 °C, which we attributed to diketopiperazine-tape
formation at room temperature.[83] N-Alkylation
could also improve the solubility of the catalysts in the dichloroethane
solvent because it would disrupt hydrogen-bonded tape-formation. We
created three N-alkylated versions of BPC8, the mono
N-benzylated catalysts BPC11 and BPC12,
and the di-N-benzylated catalyst BPC13. Unlike BPC1–10, these new catalysts were completely soluble
in dichloroethane at 40 mM at room temperature, as well as at 60 °C,
under the reaction conditions.
In order to synthesize these,
an alternative solid phase synthesis
had to be devised to assemble the tetra- and penta-substituted n class="Chemical">DKP
rings shown in Scheme 2. The bis-amino acid
derivative[82]6 was attached
to an isobutyl amine modified formyl resin via HATU promoted acylation.
The pyrollidine Alloc group was removed using palladium catalyst in
the presence of a scavenger and then acylated with the t-butyl-protected 4-hydroxy benzoic acid. The C-4 amino acid protecting
group was then removed followed by reductive alkylation to the C-4nitrogen with benzaldehyde to form 7. The carboxy-phenylalanine
derivative was introduced via HATU promoted acylation. Treatment of
the resin with neat TFA was used to cleave the intermediate from the
resin, which led to spontaneous diketopiperazine formation and concomitant
removal of all protecting groups. Purification with reverse phase
HPLC yielded the pure catalysts in 75–80% yields relative to
solid support loading.
Scheme 2
Synthetic Scheme for the Solid Phase Assembly
of Spiroligomer Claisen
Catalysts BPC11–13
Synthetic Scheme for the Solid Phase Assembly
of Spiroligomer Claisen
Catalysts BPC11–13
(a) Substituted Amino Resin (1 equiv), HATU (1
equiv), n class="Chemical">DIPEA (2 equiv), NMP (0.2 M); (b) (P(Ph3)4)Pd(0) (0.3 equiv), BH3:DMA (6 equiv), DCM (0.1 M); (c)
Benzoic Acid Derivative (3 equiv), HATU (3 equiv), DIPEA (6 equiv),
NMP (0.2 M); (d) 20% Piperidine in DMF (0.1 M); (e) PhCHO (2 equiv);
NaH3BCN (2 equiv); DMF (0.1 M); (f) Boc-Amino Acid (3 equiv);
HATU (3 equiv), DIPEA (6 equiv); NMP (0.2 M); (g) TFA.
Kinetic studies of catalysts BPC1, n class="Chemical">BPC8, and BPC11–13 are shown in Figure 2. Improvement in catalytic rate was observed over
the course
of each catalyst generation with BPC13 (krel = 58) providing the largest rate enhancement relative
to the background reaction.
Figure 2
Claisen rearrangement product formation as a
function of time and
catalyst (0.2 M substrate in dichloroethane, 60 °C, 0.02 M catalyst).
Claisen rearrangement product formation as a
function of time and
catalyst (0.2 M substrate inn class="Chemical">dichloroethane, 60 °C, 0.02 M catalyst).
The catalyst BPC1 was crystallized from n class="Chemical">water/acetonitrile
1:1 at room temperature and its crystal structure was determined (Figure 3). In the crystal structure the tyrosine side chain
is observed to fold back over the diketopiperazine and pyrrolidine
rings in the conformation that was proposed for dual hydrogen bonded
catalysis. The terephthalic acid is rotated away from the tyrosine
in one of the two available amide rotamers. The preference of this
rotamer of the terephthalic acid in the crystal structure can be understood
in terms of crystal packing forces and an intermolecular hydrogen
bond between the amidecarbonyl of the terephthalic acid and the tyrosinealcohol of another molecule of BPC1. The X-ray crystal
structure is very similar to the predicted conformation BPC1a in Figure 4b.
Figure 3
X-ray crystal structure
of BPC1 illustrates the proposed
catalytically active conformation of the tyrosine side chain and one
of the two possible amide rotamers of the terphthalic acid. This X-ray
observed conformation is very similar to BPC1a (Figure 4b), one of the lowest energy predicted structures
of BPC1.
Figure 4
M06-2X/6-31G(d) optimized structures for the lowest energy
conformers
for BPC8, BPC1a, and BPC1b.
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d) relative Gibbs free energies
have been computed using the thermal corrections at M06-2X/6-31G(d)
level (ΔGrel are relative to BPC8(a) which can be calculated given that BPC1 and BPC8 have the same number of atoms, all distances
are represented in Å).
X-ray crystal structure
of BPC1 illustrates the proposed
catalytically active conformation of the n class="Chemical">tyrosine side chain and one
of the two possible amide rotamers of the terphthalic acid. This X-ray
observed conformation is very similar to BPC1a (Figure 4b), one of the lowest energy predicted structures
of BPC1.
Quantum Mechanical and Molecular Dynamics
Evaluation of the Catalysts
We have explored the catalysis
by BPC1, n class="Chemical">BPC8, and BPC11–13 using molecular dynamics (MD) to explore the conformational space
of each catalyst and used quantum mechanics (QM) to evaluate transition
states. We performed a conformational analysis of BPC1, BPC8, and BPC11–13 using the Monte
Carlo (MCMM) method and the OPLS-AA force field as implemented in
the MacroModel computational package (see SI for a detailed description of the computational methods used).[84,85] In each case, 20 or more lower energy conformers were further reoptimized
using the hybrid meta exchange-correlation DFT functional M06-2X,[86] which includes medium-range correlation, with
the standard 6-31G(d) basis set.[87,88] Solvent effects
were included with the conductor-like polarizable continuum model
(CPCM)[89] with dichloroethane as the solvent.
M06-2X/6-31G(d) energies indicated that the lowest energy conformer
for BPC8 is from 6.5 up to 18.6 kcal/mol more stable
than the rest of the computed conformers. The situation for BPC1 is slightly different as the lowest energy conformer
(BPC1a) is only 0.2 kcal/mol more stable than BPC1b, with the rest of the computed conformers being from 4 up to 15
kcal/mol higher in energy (see Figure 4). BPC8 and BPC1b both present close approaching,
preorganized carboxylic acid and phenol groups for catalysis, while BPC1a has these two functional groups far separated (see Figure 4).
M06-2X/6-31G(d) optimized structures for the lowest energy
conformers
for BPC8, n class="Chemical">BPC1a, and BPC1b.
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d) relative Gibbs free energies
have been computed using the thermal corrections at M06-2X/6-31G(d)
level (ΔGrel are relative to BPC8(a) which can be calculated given that BPC1 and BPC8 have the same number of atoms, all distances
are represented in Å).
M06-2X/6-31G(d) optimized structures for the (a) theozyme with
the Asp/n class="Chemical">Glu and Tyr motif and (b) the uncatalyzed reaction (all distances
are represented in Å).
The optimized transition state structures with catalytic
conformations
of BPC8, n class="Chemical">BPC1a, and BPC1b are
shown in Figure 6. The computed activation
barrier for the Claisen rearrangement catalyzed by BPC8 is 28.1 kcal/mol with respect to isolated reactants (i.e., BPC8 and the coumarin reactant). As a reference, the computed
activation barrier in terms of free Gibbs energy for the background
reaction is 30.0 kcal/mol at the M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
level of theory in CPCMdichloroethane (see Figure 5). The catalyzed reaction is bimolecular, and the rate of
rearrangement is considerably faster than the background, but there
is unfavorable entropy of association of the substrate and catalyst.
The reactant complex between BPC8 and the 1,1-dimethylallyl
coumarinether is 3.9 kcal/mol higher in Gibbs free energy than isolated
reactants; that is, the nearly 10 kcal/mol binding is counteracted
by −TΔS for the bimolecular
association. In the transition state, both hydroxyl groups of BPC8 are stabilizing the partial negative charge on the etheroxygen and are approximately 1.7 Å away (see Figure 6). The breaking O–C
and the forming C–C bond distances are 2.274 and 2.416 Å,
respectively. For BPC1a, the catalysis of the aromatic
Claisen rearrangement could be assessed considering two different
approaches. The phenol group and the benzoic acid moiety are not in
close contact. Instead, the hydroxyl group of the phenol is interacting
with a carbonyl group of the bis-peptide backbone (see Figures 4b and 6b). Therefore, the BPC1a catalyzed reaction was studied using either the phenol
or the carboxylic group individually hydrogen bonded to the etheroxygen of the coumarin transition state. A lower energy transition
state was found for the phenol-mediated catalysis. This single hydrogen-bonding
TS has a computed Gibbs free activation barrier of 30.9 kcal/mol relative
to isolated reactants, BPC1a and the coumarinether.
At the TS, the hydrogen bond distance between the ether oxygen and
the hydrogen of the phenol is 1.743 Å, and the C–O breaking
and C–C forming bond are 2.159 and 2.279 Å, respectively.
The coumarin analogue is nicely π-stacked to the benzoic acid
moiety (the distance between the center of mass of the benzene rings
is approximately 3.3 Å). An enantiomer bound to the same catalyst
was also found, but was 0.2 kcal/mol higher in energy. The transition
state involving BPC1b, which has both hydroxyl groups
in a closer disposition, presents an activation barrier that is 0.5
kcal/mol higher than the previous TS for BPC1a (the Gibbs
free activation barrier compared to isolated reactants is 31.4 kcal/mol;
see Figure 6c). This slightly higher activation
barrier is mainly attributed to the fact that only the hydroxyl group
of the phenol moiety is stabilizing the negative charge of the etheroxygen, and more importantly the favorable π-stacking interaction
between the coumarin derivative and the benzoic acid moiety is lost
(see Figure 6c). In both BPC1a and BPC1b cases, the computed Gibbs activation barriers
are slightly larger than background reaction.
Figure 6
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
optimized transition state
structures for the Claisen rearrangement catalyzed by (a) BPC8, (b) BPC1a, and (c) BPC1b in dichloroethane
using CPCM implicit solvation model. The uncatalyzed reaction has
a Gibbs free activation barrier of 30.0 kcal/mol. All distances are
represented in Å.
Figure 5
M06-2X/6-31G(d) optimized structures for the (a) theozyme with
the Asp/Glu and Tyr motif and (b) the uncatalyzed reaction (all distances
are represented in Å).
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
optimized transition state
structures for the Claisen rearrangement catalyzed by (a) n class="Chemical">BPC8, (b) BPC1a, and (c) BPC1b in dichloroethane
using CPCM implicit solvation model. The uncatalyzed reaction has
a Gibbs free activation barrier of 30.0 kcal/mol. All distances are
represented in Å.
We have also studied the more active catalysts BPC11–13. The conformational analysis and the subsequent optimization at
M06-2X/6-31G(d) level indicated that the lowest energy conformers
for all three cases present the proper arrangement for catalysis with
the carboxyl and the n class="Chemical">phenol group in close proximity (see Figure 7, Figure S1 and SI for
more details).
Figure 7
M06-2X/6-31G(d) optimized structures for the lowest energy
conformers
for (a) BPC11, (b) BPC12, and (c) BPC13. The benzyl substituents have been marked in light green
for clarity. All distances are represented in Å.
M06-2X/6-31G(d) optimized structures for the lowest energy
conformers
for (a) BPC11, (b) n class="Chemical">BPC12, and (c) BPC13. The benzyl substituents have been marked in light green
for clarity. All distances are represented in Å.
We have studied the spiroligozyme catalyzed Claisen
rearrangement
of the lowest energy conformers of the catalysts (i.e., 4 for n class="Chemical">BPC11, 4 for BPC12, and 4 for BPC13). It should be emphasized here that the main differences between
the 4 different conformers studied for each case arise mainly from
different conformations of the benzyl and isopropyl substituents (see Figure S1). The difference in energy between
the different conformers is less than 4 kcal/mol in all cases. We
calculated the energy of each catalyst bound to the substrate relative
to the energy of the lowest energy conformer of each unbound catalyst
and substrate. The energies are 8.7, 6.9, and 5.2 kcal/mol for BPC11, BPC12, and BPC13, respectively
(see Figure S2). For BPC11 the OH hydrogen bond (2.2 Å) is substantially longer than for
the other two cases (1.85 Å). The OH in BPC11 is
also hydrogen bonded to the CO of the carboxylic moiety (2.1 Å).
The hydrogen bond length for COOH to the substrate is progressively
decreased from BPC11 to BPC13. BPC13 has similar hydrogen bond lengths for both OH and COOH, so the reactant
complex for BPC13 presents a closer arrangement to the
TS structure (Figure 10), which presents hydrogen
bond distances of ca. 1.7 Å.
Figure 10
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
optimized transition state
structures for the Claisen rearrangement catalyzed by (a) BPC11, (b) BPC12, and (c) BPC13 in dichloroethane
using CPCM implicit solvation model. The uncatalyzed reaction has
a Gibbs free activation barrier of 30.0 kcal/mol. All distances are
represented in Å.
Molecular dynamics (MD) simulations
using AMBER11[90] and a 10 Å truncated
octahedral box with explicit
chloroform molecules (see SI for further
details) were performed in order to determine the relative free energies
of catalytic and noncatalytic conformers of the catalyst. In Figure 8, the average distances between both n class="Chemical">oxygen atoms
of the phenol and benzoic acid moieties of the spiroligozymes (dist
OOH–OOH) along the 1 μs MD simulation
are represented. In Figure 9, the histograms
for the OOH–OOH distance are provided.
The standard deviation is also shown using a shaded area and has been
computed every 20 ps. For each catalyst analyzed in this way (i.e., BPC8 and BPC11–13), 250 superimposed MD
snapshots have also been included where both the open and closed conformations
have been marked using two different colors. The ideal arrangement
for catalysis is substantially altered along the simulation for BPC8, BPC11, and BPC13 catalysts
(see Figures 8 and 10). The distance between
the hydroxyl groups of both the phenol and benzoic acid moieties (d(OOH–OOH)) along the MD trajectory
for BPC8 and BPC11–13 are 5.86 ±
2.87, 5.16 ± 2.61, 4.39 ± 0.88, and 4.68 ± 1.80 Å,
respectively. These distances are substantially longer than the optimized
QM value of 2.84 Å, especially for BPC8 and BPC11 cases. The higher distance and deviation found for BPC8 and BPC11 is due to a conformational change
that leads to an arrangement where both benzoic acid and phenol moieties
are not interacting (see snapshots in Figure 8, and histograms in Figure 9). Interestingly,
in most cases more than 100 ns of simulation is needed to observe
the latter conformational change (see plots in Figure 8). MD simulations indicate that the correct arrangement for
catalysis is present 68.5% of the simulation time for BPC8. In this suitable arrangement, the averaged OOH–OOH distance is 4.41 ± 0.79 Å, which is still substantially
longer than the QM value of 2.84 Å. The distance between hydroxyl
groups is less than 4 Å 14.5% of the simulation time. The introduction
of a benzyl substituent on the amide backbone leads to a substantial
improvement. BPC11 adopts the proper conformation for
catalysis ca. 74% of the simulation time, and the averaged OOH–OOH distance for this arrangement is 3.73 ±
0.51 Å. The arrangement stays close to the QM value (i.e., less
than 3 Å) 55.5% of the time. The benzoic acid moiety in BPC12 stays in the proper orientation ca. 99% of the time;
however, the OOH–OOH distance is close
to the QM value 32.1% of the simulation time. BPC13,
which has benzyl substituents on both amide backbone nitrogens, adopts
the correct arrangement ca. 94% of the time during the MD trajectory.
The averaged OOH–OOH distance for the BPC13 suitable arrangement for catalysis is 4.41 ± 0.79
Å; the OOH–OOH distance is less
than 4 Å 31.9% of the time. The MD simulations performed on the
free catalysts have shown that the ideal arrangement for catalysis
is substantially modified, especially in the case of BPC8. In the case of BPC11, BPC12, and BPC13, those conformers with the suitable arrangement for
catalysis present averaged OOH–OOH distances
closer to the optimized QM value. These simulations indicate the fraction
of conformers that have the catalytic groups properly preorganized
for catalysis.
Figure 8
Representation of 250 superimposed MD snapshots for (a) BPC8 (magenta), (b) BPC11 (cyan), (c) BPC12 (purple), and (d) BPC13 (gold). The plots monitoring
the OOH–OOH distance along the 1 μs
MD trajectory for these catalysts are also included. The computed
QM distance at M06-2X/6-31G(d) is ca. 2.836 Å. The mean (dark
line) and standard deviation of the OOH–OOH distance is represented using a shaded area (width is 1 std dev)
and have been calculated every 10 steps of the simulation (i.e., 20
ps) (all distances are expressed in Å).
Figure 9
Distribution of the OOH–OOH distance
during the 1 μs MD trajectory for (a) BPC8 (magenta),
(b) BPC11 (cyan), (c) BPC12 (purple), and
(d) BPC13 (gold). All distances are expressed in Å.
Representation of 250 superimposed MD snapshots for (a) BPC8 (magenta), (b) n class="Chemical">BPC11 (cyan), (c) BPC12 (purple), and (d) BPC13 (gold). The plots monitoring
the OOH–OOH distance along the 1 μs
MD trajectory for these catalysts are also included. The computed
QM distance at M06-2X/6-31G(d) is ca. 2.836 Å. The mean (dark
line) and standard deviation of the OOH–OOH distance is represented using a shaded area (width is 1 std dev)
and have been calculated every 10 steps of the simulation (i.e., 20
ps) (all distances are expressed in Å).
Distribution of the OOH–OOH distance
during the 1 μs MD trajectory for (a) BPC8 (magenta),
(b) BPC11 (cyan), (c) BPC12 (purple), and
(d) BPC13 (gold). All distances are expressed in Å.We have also computed the Gibbs
free activation energies for the
spiroligozyme catalyzed Claisen rearrangement involving n class="Chemical">BPC11, BPC12, and BPC13. In Figure 10, the M06-2X/6-31G(d) optimized transition state
structures for the lowest activation barrier with each catalyst are
shown. The computed activation barriers for BPC11, BPC12, and BPC13 are 28.8, 29.1, and 25.7 kcal/mol
referred to the reactants: the isolated spiroligozyme, each in their
lowest energy conformer, and the coumarinether. Minor differences
are observed among the computed activation barriers, especially in
the case of BPC11 and BPC12. As mentioned
earlier for BPC1 and BPC8, the optimized
reactant complexes are ca. 7–9 kcal/mol higher in Gibbs-free
energy than isolated reactants in the case of BPC11 and BPC12, and ca. 5 kcal/mol in BPC13. In all cases,
the breaking O–C and the forming C–C bond distances
are approximately 2.260 and 2.390 Å (see Figure 10). The hydrogen bonds formed between the ether oxygen and
the phenol and benzoic acid moieties to stabilize the partial negative
charge are 1.710 and 1.692, and 1.734 and 1.640 Å in BPC11 and BPC12, respectively. Interestingly, BPC13 presents slightly shorter hydrogen bond distances of 1.620 and 1.718
Å.
The computed activation barriers for the uncatalyzed
and BPC1, n class="Chemical">BPC8, and BPC11–13 catalyzed
Claisen rearrangements at 333 K are 30.0, 30.9, 28.1, 28.8, 29.1,
and 25.7 kcal/mol, respectively. MD simulations have shown that BPC8 and BPC11–13 adopt the appropriate
conformation for catalysis (the hydroxyl distance is less than 4 Å)
14.5%, 55.5%, 32.1%, and 31.9% of the simulation time, respectively.
The latter fraction of conformers (f) in the catalytic
conformation must be used to estimate the experimental rate constant
(kcat = f·kcat,computed). Each value kcat,computed is calculated from ΔG‡calculated using transition state theory.
This leads to a computed kcat/kuncat of ca. 3 and 210 for BPC8 and BPC13 with respect to the background reaction,
respectively. We calculated quantum mechanical distortion energies
by removing the substrate from each transition state structure and
carrying out a single-point energy calculation at this geometry and
subtracting the minimum energy conformation of each catalyst. The
distortion energies were 6.8, 5.1, 8.8, and 3.6 kcal/mol for BPC8, BPC11, BPC12, and BPC13, respectively. The lower activation barrier observed for BPC13 is attributed to the lower distortion energy needed to distort the
catalyst to adopt the TS geometry.
M06-2X/6-311+G(d,p)//M06-2X/6-31G(d)
optimized transition state
structures for the Claisen rearrangement catalyzed by (a) n class="Chemical">BPC11, (b) BPC12, and (c) BPC13 in dichloroethane
using CPCM implicit solvation model. The uncatalyzed reaction has
a Gibbs free activation barrier of 30.0 kcal/mol. All distances are
represented in Å.
Using transition state theory we calculated the ΔΔG‡expt values from the relative
rate enhancements and plotted them against the ΔΔG‡calc values (Table 2). The calculations correctly predict that BCP13 will be the most active catalyst, that BPC8, n class="Chemical">BPC11, and BCP12 will have intermediate
activity, and that BPC1 will have the lowest activity.
A linear fit of the two sets of values has a slope of 4.0, and so
while the calculations predict the trend of activity, they predict
higher activity of the catalysts than is observed. The calculations
of reaction rates are based upon separated reactants in solution as
the reference. Since hydrogen bonding groups, especially carboxylic
acids, are known to form observable complexes with ca. 380 μM
dissociation constants in non-hydrogen-bonding solvents (carboxylic
acid dimers),[91] the catalysts and substrates
are expected to form stabilized hydrogen bonding complexes in solution,
thus increasing the activation barriers as compared to the calculations
reported here.
Table 2
Comparison of Experimentally Derived
Relative Activation Barriers to Prediction
From Figures 6 and 10.
Derived
using transition state theory.
From Figures 6 and 10.Derived
using transition state theory.
Conclusions
We have developed a series of dual hydrogen-bond
n class="Species">donor catalysts
for the aromatic Claisen rearrangement modeled on the active site
of Ketosteroid Isomerase. These catalysts are designed to present
a carboxylic acid and a phenol alcohol that each simultaneously donate
one hydrogen bond donor to a single ether oxygen of the 1,1-dimethylallyl
coumarin substrate to stabilize the developing negative charge on
the ether oxygen in the transition state of the Claisen rearrangement.
The catalysts provide increasing reactivity as they better organize
their hydrogen bonding groups and more closely approximate the functional
group display observed in Ketosteroid Isomerase and as they are better
able to stabilize the transition state as determined by transition
state modeling. The first designed catalyst BPC1 accelerates
the reaction 11-fold relative to background, while the best catalyst, BPC13, accelerates the reaction 58-fold. The combined QM and
MD computational study of these systems established that BPC13 gives a higher acceleration of the reaction due to an optimal disposition
of the hydroxyl groups of both the phenol and benzoic acid moieties
in both the TS and the reactant complex. This optimal arrangement
is induced by the benzyl substituents of the amide backbone, which
limit the movement of the benzoic acid and phenol moieties. MD simulations
have determined that this arrangement is better conserved in the case
of BPC13 and BPC11. The higher efficiency
of BPC13 compared to BPC8, BPC11, and BPC12 is due to the combination of a lower activation
barrier due to a lower distortion energy, and a better preorganization
of BPC13, which maintains both hydrogendonors in close
proximity ca. 94% of the time during the 1 μs MD simulation.
Comparison of the experimentally determined activation barrier lowering
to calculated values demonstrates that calculations overestimate the
catalytic power of the two hydrogen bond catalysis by 4-fold: this
is most likely due to our lack of understanding and the difficulty
modeling how solvation and self-association affect the energies of
the ground states and transition states.
These catalysts represent
the first examples of synthetic Claisen
rearrangement catalysts that utilize O–H n class="Chemical">hydrogen bond donors
as found in the Ketosteroid Isomerase enzyme rather than N–H
hydrogen bond donors observed in urea-, thiourea-, guanidinium-, and
bisimidazolium-based catalysts of the Claisen rearrangement.