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We use two-dimensional IR (2D IR) spectroscopy to explore fibril formation for the two predominant isoforms of the β-amyloid (Aβ 1-40 and Aβ 1-42 ) protein associated with Alzheimer's disease. Two-dimensional IR spectra resolve a transition at 1610 cm -1 in Aβ fibrils that does not appear in other Aβ aggregates, even those with predominantly β-sheet-structure-like oligomers. This transition is not resolved in linear IR spectroscopy because it lies under the broad band centered at 1625 cm -1 , which is the traditional infrared signature for amyloid fibrils. The feature is prominent in 2D IR spectra because 2D lineshapes are narrower and scale nonlinearly with transition dipole strengths. Transmission electron microscopy measurements demonstrate that the 1610 cm -1 band is a positive identification of amyloid fibrils. Sodium dodecyl sulfate micelles that solubilize and disaggregate preaggregated Aβ samples deplete the 1625 cm -1 band but do not affect the 1610 cm -1 band, demonstrating that the 1610 cm -1 band is due to very stable fibrils. We demonstrate that the 1610 cm -1 transition arises from amide I modes by mutating out the only side-chain residue that could give rise to this transition, and we explore the potential structural origins of the transition by simulating 2D IR spectra based on Aβ crystal structures. It was not previously possible to distinguish stable Aβ fibrils from the less stable β-sheet-rich oligomers with infrared light. This 2D IR signature will be useful for Alzheimer's research on Aβ aggregation, fibril formation, and toxicity.

We report the transition dipole strengths and frequencies of the amyloid β-sheet amide I mode for the aggregated proteins amyloid-β 1-40 , calcitonin, α-synuclein, and glucagon. According to standard vibrational coupling models for proteins, the frequencies of canonical β-sheets are set by their size and structural and environmental disorder, which determines the delocalization length of the vibrational excitons. The larger the delocalization the lower the frequency of the main infrared-allowed transition, A ⊥ . The models also predict an accompanying increase in transition dipole strength. For the proteins measured here, we find no correlation between transition dipole strengths and amyloid β-sheet transition frequency. To understand this observation, we have extracted from the protein data bank crystal structures of amyloid peptides from which we calculate the amide I vibrational couplings, and we use these in a model β-sheet Hamiltonian to simulate amyloid vibrational spectra. We find that the variations in amyloid β-sheet structures (e.g., dihedral angles, interstrand distances, and orientations) create significant differences in the average values for interstrand and nearest neighbor couplings, and that those variations encompass the variation in measured A ⊥ frequencies. We also find that off-diagonal disorder about the average values explains the range of transition dipole strengths observed experimentally. Thus, we conclude that the lack of correlation between transition dipole-strength and frequency is caused by variations in amyloid β-sheet structure. Taken together, these results indicate that the amide I frequency is very sensitive to amyloid β-sheet structure, the β-sheets of these 4 proteins are not identical, and the assumption that frequency of amyloids scales with β-sheet size cannot be adopted without an accompanying measurement of transition dipole strengths.