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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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720 Ranieri Urbani and Attilio Cesàro<br />

bilities associated with the conformers and therefore produce a rearrangement <strong>of</strong> statistical<br />

weights among conformers and, thus, a variation <strong>of</strong> the average properties <strong>of</strong> the system, as<br />

for example illustrated by the changes <strong>of</strong> the chain dimension parameters (see below Figure<br />

12.2.11). Calculated average data like dipole moment, μ, linkage rotation, Λ, and pro-<br />

ton-carbon coupling constants across glycosidic linkage,<br />

3 JC1-H4 and 3 J C4’-H1, for<br />

β-D-maltose 14 and β-D-mannobiose 45 in different solvents are reported in Table 12.2.2.<br />

These results show that the equilibrium composition <strong>of</strong> dimer conformers depends strongly<br />

on the solvent and that the departure from the in vacuo conformation increases with increasing<br />

solvent dielectric constant. For mannobiose the determining factor <strong>of</strong> the solvent effect<br />

on the conformation is the intra-residue electrostatic interaction, which depends on ϕ and ψ<br />

in the same manner as the dipole moment.<br />

Table 12.2.2. Calculated average values <strong>of</strong> dipole moment, four-bonds proton-carbon<br />

coupling constant and linkage rotation <strong>of</strong> β-D-maltose and β-D-mannobiose in<br />

different solvents at 25°C<br />

Solvent ε ϕ, deg ψ, deg μ, debye<br />

3<br />

JC1-H4, Hz<br />

3<br />

JC4�-H1, Hz Λ, deg<br />

vacuum - -21 -28<br />

solute: β-D-maltose<br />

3.80 4.2 4.5 -31<br />

1,4-dioxane 2.21 -22 -22 3.89 4.1 4.5 -30<br />

pyridine 12.40 -24 -39 4.02 4.0 4.5 -27<br />

ethanol 24.55 -24 -41 4.09 3.9 4.5 -27<br />

methanol 32.70 -25 -46 4.17 3.9 4.5 -25<br />

DMSO 46.68 -24 -41 4.10 3.9 4.5 -28<br />

water 78.30 -28 -65 4.47 3.7 4.7 -19<br />

solute: β-D-mannobiose<br />

vacuum - 81 -18 6.00 2.29 4.14 77<br />

1,4-dioxane 2.21 82 -19 5.92 2.23 4.15 76<br />

pyridine 12.40 91 -22 6.01 1.95 4.22 69<br />

methanol 32.70 97 -24 6.08 1.72 4.25 54<br />

DMSO 46.68 94 23 6.05 1.84 4.23 67<br />

water 78.30 100 -18 6.27 1.53 4.32 57<br />

It should be pointed out that even the small variations in the dihedral angles due to the<br />

presence <strong>of</strong> solvent molecules may produce a large change on a macromolecular scale, as<br />

discussed above.<br />

12.2.4.2 Molecular dynamic methods<br />

One <strong>of</strong> the most powerful theoretical tools for modeling carbohydrate solution systems on a<br />

microscopic scale and evaluating the degree <strong>of</strong> flexibility <strong>of</strong> these molecules is the molecular<br />

dynamics technique (MD) which has become popular over the last two decades. The first<br />

reported works <strong>of</strong> MD carbohydrate simulation appeared in 1986 54,55 and since then an in-

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