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trans (anti)
gauche
gauche
HN
O
HN
NH
ψ
φ
ω
θ
N
N
2
Re
H
H
2
Si
H
2
Re
2
Si
H
C
3
O
C
3
C
3
3
Re
H
H
3
Si
3
Re
H
H
3
Si
3
Re
H
H
3
Si
O
O
H
2
Si
H
2
Re
O
(a)
(b)
Figure 2.7 (a) Definition for the torsional angles in b-peptides. (b) Rotamers for b-alanine
regarding the u dihedral.
C2,C3-Disubstituted amino acids are even more conformationally constrained and favor
gauche conformers when the substituents are
anti
. Gauche-type torsion angles are even
more strongly promoted when these atoms are included in a cyclohexane or cyclopentane
ring [37]. The ring size determines the precise C2-C3 torsional preference, which in turn
influences the b-peptide helix type [38].
Five distinct helices have so far been identified in the field of b-peptides: the 14-, a
12-, a 10-, the 12/10- and an 8-helix, which are defined by the sizes of 8-, 10-, 12-, and
14-membered hydrogen-bonded rings (Figure 2.9).
Besides helical arrangements, b-peptides, like the a-peptidic prototypes, can attain
nonaggregating extended chain structures, assemble to pleated sheets, fold to hairpin
turns and stack in crystals. Extended arrangements have also been identified, namely par-
allel and antiparallel pleated sheets, a nonaggregating linear structure and stacks. NMR
spectroscopy has emerged as the most useful tool in determining the secondary structures
of b-peptides, although some samples suitable for single-crystal or powder X-ray diffrac-
tion structure determination have been obtained. For an exhaustive review on helices and
other secondary structures of b-peptides see Seebach
et al.
[39].
O
O
θ
Unsubstituted residue:
conformationally flexible
NHR
I
R
H
R
3
O
O
3
-Residue:
favors gauche conformation
β
NHR
I
R
H
O
O
2
-Residue:
favors gauche conformation
β
NHR
I
R
H
R
2
R
3
O
O
2,3
-Residue
anti
configuration:
strongly favors gauche conformation
β
NHR
I
R
H
R
2
R
3
O
O
2,3
-Residue
syn
configuration:
strongly favors gauche conformation
β
NHR
I
R
H
R
2
2,3
-Residue cyclic,
trans
configuration:
strongly favors gauche conformation
β
CONHR
I
RCONH
Figure 2.8 Effect of substituents on the torsional angle u.
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