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354    Cha pte r  T w e l v e

               MFA
               The cellulose microfibril angle of the S2 layer is a critical factor in
               determining the mechanical properties of wood. The microfibril angle
               is defined as the angle between the most probable cellulose microfi-
               bril orientation and the long axis of the cell. Figure 12.2 shows an
               average 4.17° microfibril angle in the cell wall of kwila wood. The
               microfibril angle can be determined by a number of techniques. X-ray
               diffraction has become a popular method in recent years.
                   The microfibril angle varies considerably between trees and within
               the trunk of a tree with a large angle near pit and small angles in the
               outerwood. Our group (Tze et al. 2007) measured the mechanical
               properties of individual, native wood fibers for five different annual
               rings of a loblolly pine, with microfibril angles (MFA) between 14 and
               36°using continuous stiffness measurement techniques. Results showed
               that a predictable pattern of stiffness values was found as a function of
               MFA, and stiffness can at least be considered to be a relative measure
               of the longitudinal stiffness properties of wood cell walls (Fig. 12.3).
               To determine hardness values, a dependence on orientation was also


































                Microscope  Acelerating Voltage  Working Distance
                Quanta FEG       5kv           10.2 mm        —2 μm—
               FIGURE 12.2  Radial section of kwila wood showing microfi brils aligning in the
               direction of the fi ber axis (average MFA 4.17°).
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