Carbon isotope composition (δ13C) of whole-shoot biomass and extracted cellulose (46) was analyzed using an elemental analyzer (NA 1110; Carlo Erba Instruments) interfaced (ConFlo II, Finnigan MAT) with a continuous-flow isotope ratio mass spectrometer (Delta Plus; Finnigan MAT), EA-CF-IRMS. Each sample was measured against standard CO2 calibrated with an isotope standard (International Atomic Energy Agency CH6, accuracy of calibration ± 0.06‰ SD). The precision of sample repeats was 0.08‰ (SD) for bulk biomass samples and 0.13‰ for cellulose and included deviations by subsampling, cellulose extraction, and EA-CF-IRMS measurement. 13C discrimination (Δ13C, in ‰) was calculated as Δ13C = (δ13Cair − δ13Cplant)/(1 + δ13Cplant/1,000) (4). Intrinsic WUE has been defined as: iWUE = A/gs = 0.625 Ca (1 − Ci/Ca), where A is the net CO2 assimilation rate and gs the stomatal conductance (5). The factor 0.625 gives the ratio of the diffusivities of CO2 and H2O in air, and Ca and Ci designate the CO2 concentrations in ambient air and intercellular space. In the growth cabinet, Ca was 422 ± 12 μmol⋅mol−1 with an approximated δ13Cair value of −9.7‰. The “simplified” Farquhar model based on nonlimiting mesophyll conductance was applied to estimate Ci/Ca: Δ13C = a + (b − a) Ci/Ca. The term a (4.4‰) denotes the fractionation of 13CO2 relative to 12CO2 during diffusion through the stomatal pores, and b (27.6‰), the net fractionation during carboxylation reactions.
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