Photosynthesis 2 Energy conversion and electron conduction in

Electron flow in photosynthesis of cyanobacteria and Plants backward direction: respiration = food consumption

Role of Thermal Disorder on Electron Transfer in the Photosynthetic Reaction Center Electron transfer

Particle – Hole Separation in the Reaction Center and Solar Cells protein rotated –

Cytochrome c 2 docking + H ADP Q/QH 2/Q hn ATP cytoplasm ATPase bc

Photosynthetic Apparatus of Purple Bacteria Very Large Conformational Changes two pathways for oxidation of

Photosynthetic Apparatus of Purple Bacteria Very Large Conformational Changes F 1 rotatory catalysis (twist

Photosynthetic Pathway in Cyanobacteria and Plants

Electron Carrying Molecules bacteriochlorophyll chain bacteriopheophytin chain ubiquinone chain

The energy gap is Gaussian distributed energy gap

Two State QM System Coupled to Protein Matrix First case: Coupling to a single

Two State QM System Coupled to Protein Matrix Second case: Coupling to an ensemble

Electron Transfer Process Coupled to the Protein Matrix Rate for an ensemble of oscillators

Electron Transfer Process Coupled to the Protein Matrix Relaxation rate 1994 energy gap correlation

Temperature Dependence of Electron Transfer Rate

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Photosynthesis 2: Energy conversion and electron conduction in soft matter Electron flow in photosynthesis of cyanobacteria H+ ADP Q/QH 2/Q hn ATP cytoplasm ATPase bc 1 RC LH-II LH-I ecytochrome c 2 Electron flow in photosynthesis of purple bacteria periplasm H+

Electron flow in photosynthesis of cyanobacteria and Plants backward direction: respiration = food consumption in mammals From Nature 411, (2001) 897, W. Kuhlbrandt.

Role of Thermal Disorder on Electron Transfer in the Photosynthetic Reaction Center Electron transfer is coupled to thermal motion of the surrounding protein.

Particle – Hole Separation in the Reaction Center and Solar Cells protein rotated – 900 and stretched

Cytochrome c 2 docking + H ADP Q/QH 2/Q hn ATP cytoplasm ATPase bc 1 RC LH-II LH-I ecytochrome c 2 periplasm H+

Photosynthetic Apparatus of Purple Bacteria Very Large Conformational Changes two pathways for oxidation of Qo esite Qo Iron Sulfur Protein head rotation can redirect 2 nd electron Qo 2 Fe 2 S cyt c 1 Sergei Izrailev

Photosynthetic Apparatus of Purple Bacteria Very Large Conformational Changes F 1 rotatory catalysis (twist conformational change ATP synthesis ) (from Wang & Oster) elastomechanical coupling s t a l k F 0 www. ks. uiuc. edu energy transformation (proton motive force rotation) ATP synthase (Walker, Whilce, Fillingame)

Photosynthetic Pathway in Cyanobacteria and Plants

Electron Carrying Molecules bacteriochlorophyll chain bacteriopheophytin chain ubiquinone chain

Particle – Hole Separation in the Reaction Center and Solar Cells protein rotated – 900 and stretched

The energy gap is Gaussian distributed energy gap

Two State QM System Coupled to Protein Matrix First case: Coupling to a single oscillator Hamiltonian Protein matrix is a bath of oscillators linearly coupled to the electron transfer according to only a single oscillator considered at present!

Two State QM System Coupled to Protein Matrix Second case: Coupling to an ensemble of oscillators Hamiltonian Protein matrix is a bath of oscillators linearly coupled to the electron transfer according to

Electron Transfer Process Coupled to the Protein Matrix Rate for an ensemble of oscillators Relaxation rate But we don’t know all the coupling constants cj ? All we need to know is

Solution of Rate Equation

Electron Transfer Process Coupled to the Protein Matrix Rate for an ensemble of oscillators Relaxation rate But we don’t know all the coupling constants cj ? All we need to know is

Electron Transfer Process Coupled to the Protein Matrix Relaxation rate 1994 energy gap correlation function rms deviation of energy gap

Temperature Dependence of Electron Transfer Rate