Introduction 4546 2. General Information on the Structure of Photosynthetic Complexes and StructureÀFunction Relationships 4548 2.1. Photosystem I (PSI) and Photosystem II (PSII) 4548 2.2. Basic Aspects of Bacterial Photosynthesis 4549 3. Interpigment Interactions, Excitation Energy Transfer (EET), and Charge Separation (CS) Rates-General Considerations 4550 4. Fundamentals of Spectral Hole-Burning (SHB) and Fluorescence Line-Narrowing Spectroscopy (FLNS) and Single Photosynthetic Complex Spectroscopy (SPCS) 4552 4.1. Zero-Phonon Lines, Homogeneous and Inhomogeneous Broadening 4553 4.1.1. ZPLs and Phonon Sidebands (PSBs) 4554 4.1.2. ElectronÀPhonon Coupling and Homogeneous Line Shapes 4555 4.2. Nonphotochemical, Photochemical, and Transient SHB Spectroscopy 4557 4.3. Mechanism of Nonphotochemical Hole-Burning (NPHB) 4558 4.4. Kinetics of NPHB 4559 4.5. Zero-Phonon Action (ZPA) Spectroscopy: Site Distribution Function (SDF) 4560 4.6. Hole Shapes and FLN Line Shapes-Electron Phonon Coupling and ΔFLNS 4561 4.7. Ground and Excited State Vibrational Frequencies 4567 4.8. SHB in Excitonically Coupled Systems 4567 4.9. Basic Principles of SPCS 4568 4.10. Basic Principles of Two-Dimensional Electronic Spectroscopy (2D ES) 4569 5. Examples of Applications of NPHB, FLNS, SPCS, and 2D ES to Photosynthesis 4570 5.1. Light-Harvesting and EET in Antenna Complexes 4570 5.1.1. Peripheral Antenna Systems of Photosystem II (