1 turn Calvin cycle = 1 CO2 fixed
Glucose has 6 carbons → needs 6 CO2 → 6 turns per glucose
For 3 glucose molecules: 3 × 6 = 18 turns
Answer: 6 turns for 1 glucose; 18 turns for 3 glucose
The Calvin cycle (also called the dark reactions, light-independent reactions, or C3 cycle) is the metabolic pathway in the chloroplast stroma that uses the ATP and NADPH produced by the light reactions to convert CO2 into organic carbon compounds (primarily G3P, which is then used to synthesise sugars, amino acids, fatty acids, and other organic molecules). The cycle was elucidated by Melvin Calvin, Andrew Benson, and James Bassham at UC Berkeley in the 1950s using radioactive 14CO2 and chromatographic analysis — work for which Calvin received the Nobel Prize in Chemistry in 1961. The cycle has three stages: carbon fixation (CO2 attachment to RuBP), reduction (ATP and NADPH-driven reduction of 3-PGA to G3P), and RuBP regeneration (complex series of reactions using ATP to regenerate the 5-carbon RuBP acceptor molecule from 5-carbon and 3-carbon intermediates).
The first stage of the Calvin cycle is CO2 fixation by RuBisCO: Ribulose-1,5-bisphosphate (RuBP, 5-carbon) + CO2 → unstable 6-carbon intermediate → 2 molecules of 3-phosphoglycerate (3-PGA, 3-carbon each). This reaction is catalysed by RuBisCO, the most abundant enzyme on Earth, working very slowly (approximately 3 catalytic events per second). In one turn, one CO2 molecule is incorporated into one 3-PGA molecule (the other 3-PGA comes from the remaining carbons of RuBP). The carbon backbone of RuBP provides 5 carbons + 1 CO2 = 6 carbons total → split into 2×3-PGA. Per 6 turns: 6 CO2 fixed, 12 3-PGA produced.
Each 3-PGA molecule is reduced to G3P (glyceraldehyde-3-phosphate) in two steps. Step 1: 3-PGA + ATP → 1,3-bisphosphoglycerate (1,3-BPG) + ADP (catalysed by phosphoglycerate kinase). Step 2: 1,3-BPG + NADPH → G3P + NADP+ + Pi (catalysed by NADP-glyceraldehyde phosphate dehydrogenase). Per 12 molecules of 3-PGA (from 6 turns): 12 ATP and 12 NADPH are consumed to produce 12 G3P. G3P is a 3-carbon triose phosphate that is at the crossroads of carbohydrate, lipid, and amino acid biosynthesis — it is the primary export product of the chloroplast.
The most complex stage — 10 of the 12 G3P molecules are used in a complex series of reactions (involving C3, C4, C5, C6, and C7 sugar phosphates as intermediates) to regenerate 6 molecules of RuBP, using 6 ATP. The remaining 2 G3P molecules represent the net gain from 6 turns of the Calvin cycle — equivalent to one-half molecule of glucose (since glucose = C6 = 2×G3P). Carbon accounting per 6 turns: Input: 6 CO2 (6C) + 6 RuBP (6×5C = 30C) = 36C total. Output: 12 G3P (12×3C = 36C total). Distribution: 10 G3P (30C) → regenerate 6 RuBP (30C); 2 G3P (6C) → net output for biosynthesis. Energy consumed per 6 turns (per glucose equivalent): 18 ATP (12 for reduction + 6 for RuBP regeneration) + 12 NADPH (for reduction).