By using the method proposed in the previous papers, the detailed fine structure in amorphous region of nylon 66 film and filament is disclosed from their dynamic loss tangent (tan δ) -temperature (T) curve. In annealing process, the elastic modulus fraction f_e decreases and heterogeneity index of amorphous region n_t increases monotonously with an increase in annealing temperature T_a for the unoriented film. In the annealing process of wet state, the f_e related to α₂ absorption, observed at 30°C (for 110 Hz), decreases more abruptly than that of α₁ absorption observed at 120°C (for 110 Hz). On the contrary, in the annealing process of dry state, the f_e related to α₁ decreases more abruptly than α₂. With an increase in stretching ratio, the f_e of the stretched film and filament decrease and their n_t increase monotonously. These tendencies of f_e and n_t during annealing and stretching are not limited to nylon 66, but have a general characters for another fiber-forming polymers, such as polyacrylonitrile, polyethyleneterephthalate, polypropylene and polyvinylalcohol.
Both f_e and n_t-T_a curves of the stretched film show minimum when the film is annealed in dry state for a fixed time of period and n_t increases nonotonously with T_a when the film is annealed in wet state. The complicated T_a dependence of f_e and n_t can be explained in termsof disorientation of oriented polymeric chains in the annealing process.
A new peak in tan δ-T curve is observed at ca. 90°C (for 110 Hz) for the samples annealed in dry state at T_a=200°C. This peak is closely connected to the amorphous state produced during the annealing process. Several peaks are observed in the main dispersion region oftan δ-T curve, corresponding to the annealing in dry or wet state and adsorption of water and these can reasonably be resolved by the theory in the view of heterogenieties of the packing states of polymeric chains in amorphous region.

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A color analyzer was developed which was completely different from conventional one using R, G and B optical filters. The process of color separation of the analyzer is carried out by the spectral pattern recognition.
When 100 colors with 40% variance were recognized, the average rate of recognition of more than 99% was obtained. Therefore, this analyzer seems to be more useful than conventional procedures.

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A coefficient of effective diffusion is required to analyze the washing process of fiber assembly e.g., yarn, fabric, etc. The coefficient of effective diffusion has been estimated by analyzing theoretically the heat transmission under steady state within fiber assembly, and its effective heat conductivity was calculated.
The effective heat conductivity of fiber assembly, λ_e (cal/cm·°C·s) is calculated by the following equation, when fibers are arranged at right angles :
λe/λw=1/b(∞Σk-0) (-1) ^k (bⁿ-βb^-n) Aⁿ
And when fibers are arranged in equilaterally triangle shape, the above or following equation can be used :
λe/λw=1/b(∞Σk-0)2A_n ((√a²+b²/2) ⁿ-β (√a²+b²/2) ^-n) sin nψ
where,
n=2k+1
β=the parameter derived from the heat conductivities of fiber and medium
λ_w=the heat conductivity of the medium (cal/cm·°C·s)
a, b, ψ=the parameters depending on the arrangement of fibers in the fiber assembly
An=the coefficients which satisfy the boundary conditions and can be obtained by applying the least squares method along the boundary lines
The results calculated by these equations agreed well with experimental data and the results previously reported.

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