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. Author manuscript; available in PMC: 2010 Feb 9.
Published in final edited form as: Biomacromolecules. 2009 Feb 9;10(2):302–309. doi: 10.1021/bm8010227

Table 4.

Selected conformational parameters of cellulose IIIII compared with those of the other cellulose allomorphs. The conformation of the hydroxymethyl group is defined by two letters, the first referring to the torsion angle χ (O5-C5-C6-O6) and the second to the torsion angle χ′ (C4-C5-C6-O6). Thus the ideal tg and gt conformations would be respectively be defined as sets of two angles (180°, 60°) and (60°, 180°). The glycosidic bond angle, τ is defined by (C1-O4-C4). The glycosidic torsion angle Φ and Ψ, which describe the relative orientation of adjacent glucosyl residues in the same chain are defined by (O5-C1-O1-C4) and (C1-O1-C4-C3), respectively. For cellulose Iα “up” and “down” refer to the relative heights of crystallographically independent and adjacent glucosyl residues in the unit cell.

Φ Ψ τ χ χ′ θ
Cellulose IIIII down −87 85 118 84 −157 5.4
Cellulose IIIII up −91 91 117 69 −172 3.4
Cellulose IIII −92 93 116 44 163 10.5
Cellulose II origin −97 95 116 72 −165 5.0
Cellulose II center −94 87 115 58 −175 10.2
Cellulose Iα up −99 95 116 166 −74 6.9
Cellulose Iα down −98 99 116 167 −75 9.4
Cellulose Iβ origin −98 90 115 170 −70 10.2
Cellulose Iβ center −89 94 116 158 −83 6.7