John Cowdery Kendrew helped establish how X-ray crystallography can reveal the three-dimensional arrangement of a protein. Nobel's primary nomination archive names John Cowdery Kendrew, also identifying J. C. Kendrew in its award-sharing comment.[ref]
His team's1960 myoglobin paper presented a Fourier analysis at2-angstrom resolution. Its opening recalls how earlier phase determination compared native crystals with heavy-atom derivatives containing localized mercury or gold sites. Such comparisons supply information missing from a simple measurement of diffraction intensity.[ref]
An original one-dimensional example explains that phase problem. Write a periodic electron density using Fourier series coefficients . The two positive densities
have , and , with the final sign distinguishing them. Their squared coefficient magnitudes are identical:9 for mode zero,1/4 for modes and1/16 for modes . The relative phase of the second harmonic has changed while the first harmonic is fixed. Thus equal intensities need not identify one density.
Figure 1.
Different positive model densities can have the same squared Fourier coefficient magnitudes
. Original one-dimensional mathematical example, not a measured protein diffraction pattern. The sign of the second harmonic differs while the first harmonic is unchanged, so the density shapes differ despite equal mode intensities. Details.
The myoglobin experiment was more demanding than this toy calculation, but the distinction motivates its chemical strategy: modifying crystals at known heavy-atom sites changes their scattering in a way that constrains phase information. Reconstructing an electron density map therefore requires both measured diffraction and a justified phase-determination method, rather than treating the recorded spots as a direct photograph of the molecule.

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