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The CO2 mass transfer problem of the assimilation cell phase of the crop leaf in the gross photosynthesis process was solved by the use of analytical procedures for net photosynthesis in the previous investigation (Komori and Ikemoto, 1999).The solutions were applied to evaluate the CO2 gross mass transfer coefficient kL0, the gross photosynthetic reaction rate constant k10 and the CO2 concentration profile CA(z, t) in the assimilation cell phase with a constant respiration rate k0 for the case of rice. The summary is as follows:1) Exact solutions for CA(z, t), the CO2 flux NA0, kL0 and the gross photosynthetic rate RAT0 are simplified to Eq. (13) through Eq. (16). These approximate solutions are available to obtain the relation of the CO2 mass transfer mechanism between the gross and the net photosynthesis in the assimilation celll phase.2) Equation (22) or Eq. (39) gives the correlation of the gross and the net photosynthesis with the CO2 mass transfer rate. Equation (22) suggests that k0 has no influence on the gas phase CO2 mass transfer coefficient kG and for the over-all CO2 mass transfer coefficient, Eq. (39) provides Eq. (40). Moreover, Eqs. (22) and (39) indicate that the graphical method (Komori and Ikemoto, 1999) is appropriate for estimation of kL and kG.3) Figure 3, generated from Eq. (22) or Eq. (39), shows the relationship between k10 and the net photosynthetic reaction rate constant k1, and is also the graphical method to estimate k10 from the net photosynthetic rate RAT and k0. Following the analytical discussion of Eq. (21) through Eq. (29) the k10-RAT curve in Fig. 3, shows that for assimilation of the crop leaf, the practical gross photosynthesis is biophysically different from the substantial net photosynthesis.4) In order to quantitatively evaluate the characteristics of the photosynthetic reaction, the assimilation cell effectiveness factor Ef0 (Bird et al., 1960; Ohtake, 1963), defined by Eq. (50), was introduced. The Ef0 curve in Fig. 9 indicates the equilibrium point, kGb=kGs, the transition point, kL=HkG for the CO2 mass transfer resistance and the terminal point of RATmax at the maximum RAT in the region of 0≤RAT≤RATmax. In addition, Ef0 suggests that the photosynthetic reaction is very fast and can be performed near the surface of the assimilation cell phase

An Analytical Investigation for the CO2 Mass Transfer of the Assimilation Cell Phase in Gross and Net Photosynthesis Processes of the Crop Leaf.