organic compounds
(IG3), and with methyl ꢀ-d-galactopyranosyl-(1!4)-ꢀ-d-
glucopyranoside (methyl ꢀ-lactoside), (IV) (Stenutz et al.,
1999) (Table 1). The influence of crystal packing on structural
parameters was also investigated in an unconstrained in vacuo
density functional theory (DFT) geometry optimization using
GAUSSIAN03 (Frisch et al., 2004). The crystal structure of
(II) was used as the starting geometry and the calculation was
performed with the B3LYP functional (Becke, 1993), and the
6–31G* basis set (Hehre et al., 1972). Structural data for the
DFT structure, denoted (IIC), are shown in Table 1.
O40 bond conformation in (II) and (III) cannot be responsible
for this finding, since both bonds are in conformations in
which the C40 and O40 H atoms are eclipsed. Intermolecular
hydrogen bonding in the C40—O40 fragment of both (II) and
0
0
(III) is also identical. In contrast, rC4 ,O4 is considerably
shorter in (IIC) than in (II) and (III), presumably due, at least
partly, to relief of the eclipsing interaction in the calculated
structure [the equivalent C40 and O40 H atoms are approxi-
mately gauche in (IIC)]. These findings suggest that the rela-
tive lengths of axial and equatorial C—O bonds in saccharides
can be influenced significantly by crystal packing forces, and
that eclipsing interactions present in crystal structures caused
by the intermolecular hydrogen-bonding lattice may suppress
competing intramolecular forces that affect exocyclic C—O
bond lengths (e.g. bond orientation). The internal glycosidic
C—O—C bond angle in (II) and (III) appears slightly smaller
than observed in (IV), possibly due to the reduced steric
demands of the 1,6-linkage. This conclusion is supported by
glycosidic C—O—C bond angles involving the methyl agly-
cones in (II) and (III), which compare favorably to the
internal glycoside C—O—C angles in the same structures.
The ꢀGlcp and ꢀGalp rings of (II)–(IV) assume slightly
Data in Table 1 for (II)–(IV) yield the following average
˚
C—C bond lengths: C1—C2 = 1.522 (6) A; remaining endo-
˚
˚
cyclic C—C = 1.526 (7) A; C5—C6 = 1.511 (3) A. Exocyclic
C5—C6 bonds appear shorter than all endocyclic C—C bonds
(Pan et al., 2005), while C1—C2 bond lengths do not differ
statistically from the other endocyclic C—C bond lengths.
Average C—O bond lengths in (II)–(IV) are as follows:
˚
endocyclic C—O = 1.425 (9) A; anomeric C—O (exocyclic) =
˚
1.392 (6) A; exocyclic C—O = 1.426 (8) A; exocyclic C—O
˚
˚
involving the an0omeric oxygen = 1.434 (8) A. The equatorial
0
˚
C1—O1 and C1 —O1 bonds are shorter (by ꢃ0.03 A) than
the remaining exocyclic equatorial C—O bonds (Berman et
al., 1967), due to optimal anomeric effects (Lemieux, 1971) in
these structures; in (II), the C20—C10—O10—C6 and C2—
C1—O1—C7 torsion angles are 172.9 (2) and 177.4 (3)ꢂ,
respectively.
4
distorted C1 chair conformations based on Cremer–Pople
puckering parameters (Cremer & Pople, 1975; Table 2;
q3 >> q2). In (II), the ꢀGlcp ring is closer to an ideal 4C1 chair
form (ꢁ = 2.3ꢂ) than the ꢀGalp ring (ꢁ = 8.8ꢂ), whereas the
opposite is found for (IV). In (III), both rings have more
comparable ꢁ values and thus comparable degrees of distor-
tion. The direction of distortion, embodied in ’, is context
dependent and can be easily visualized using the projection
convention of Jeffrey & Yates (1979) (Fig. 2). Overall, global
ring shapes for the ꢀGalp ring of (IV) and the ꢀGlcp rings of
(III) [’ = 28 (6)ꢂ] are slightly distorted near 0H1; these
conformations differ from the ꢀGalp ring of (II) and the
ꢀGlcp rings of (II) and (IV) which are distorted near E5 and
0E/0H5, respectively.
In the DFT-calculated structure (IIC), trends in C—C bond
lengths mimic the experimental observations, but calculated
C—C bond lengths are longer on average than experimental
˚
˚
values by ꢃ0.01 A: C1—C2 = 1.531 (3) A; remaining endo-
˚
˚
cyclic C—C = 1.532 (8) A; C5—C6 = 1.525 (3) A. In contrast,
DFT-calculated C—O bond lengths reproduce the experi-
mental data well, both in terms of trends and absolute values:
˚
endocyclic C—O = 1.426 (6) A; anomeric C—O (exocyclic) =
˚
1.393 (6) A; exocyclic C—O = 1.421 (6) A; exocyclic C—O
˚
˚
involving the anomeric oxygen = 1.430 A.
The C40—O40 bond lengths in (II) and (III) are identical
despite differences in C4 configuration (Table 1). The C40—
Exocyclic hydroxymethyl (–CH2OH) conformations in (II)–
(IV), denoted by torsion angle !, differ. In (II), the gt
(gauche–trans) conformation is found in both residues,
whereas in (III), gg (gauche–gauche) conformations are
observed (Table 1), resulting in significantly different surface
topologies for the two disaccharides. In contrast, mixed
conformations are found in (IV), viz. gg in ꢀGlcp and gt in
ꢀGalp. The gt conformation is highly favored in methyl ꢀ-d-
galactopyranoside in aqueous solution, based on NMR scalar
coupling analysis, whereas a roughly equal mixture of gg and
gt forms is observed in methyl ꢀ-d-glucopyranoside (Thibau-
deau et al., 2004), results consistent with the statistical distri-
bution of rotamers observed in (II)–(IV).
Glycosidic linkage conformation in (II) is determined by
0
torsion angles ’0 [C20—C10—O10—C6 = 172.9 (2)ꢂ], [C10—
O10—C6—C5 = ꢁ117.9 (3)ꢂ] and ! [O10—C6—C5—O5 =
63.8 (3)ꢂ]. These torsions contrast with corresponding values
of ꢁ176.4, ꢁ156.3 and ꢁ61.6ꢂ observed in (III). The ’0 values
0
differ by ꢃ11ꢂ, whereas the values differ by ꢃ38ꢂ.
Figure 1
The crystal structure and atom-labeling scheme of (II). Displacement
ellipsoids are depicted at the 50% probability level.
Presumably, different conformations about ! and !0 in (II)
and (III) influence 0, which is controlled mainly by steric
ꢄ
o602 Klepach et al. C13H24O11ꢀH2O
Acta Cryst. (2009). C65, o601–o606