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A globin is a member of a protein family with a characteristic fold commonly supporting a heme group. Hemoglobin and myoglobin provide familiar examples involved in oxygen transport and storage. Similar folds can support different physiological roles, so identifying a globin sequence does not by itself specify an oxygen-transport function. Heme coordination and the surrounding protein environment jointly shape ligand binding. ^[ref]

The predominantly alpha-helical structural framework characteristic of globins. Conserved haem-pocket architecture in myoglobin and haemoglobin supplies evidence for divergence from a shared ancestor.

A heavy-atom derivative is a modified crystal containing ordered heavy-atom sites that can provide a reference scattering contribution for X-ray crystallography. The crystal before modification is called native. For single isomorphous replacement or multiple isomorphous replacement, the desired crystal isomorphism means that the parent crystal structure is sufficiently preserved for its contribution to be shared between data sets. Merely detecting the added chemical element does not establish that model.

The early myoglobin work provides an experimental example. Several crystals with mercury or gold at single sites on the protein were compared with unsubstituted crystals to infer phases. These are chemically modified reference specimens, not computational substitute structures.^[ref]

Crystallographic site occupancy describes the fraction present at a modeled site. The IUCr heavy-atom dictionary defines an occupancy separately for each site and derivative.^[ref] In a simplified single-site model with fixed position and displacement behavior, let $A_H$ be the full-occupancy complex amplitude and let $q$ be occupancy. ThenFor an original illustrative reflection, choose $F_P=4+3i$ and $A_H=6$. With $q=1/2$, the derivative amplitude is $7+3i$ and its squared magnitude is58. At full occupancy it is $10+3i$ and its squared magnitude is109. The native squared magnitude is25. Thus doubling occupancy doubles this modeled heavy-atom amplitude, but does not generally double the measured intensity change: interference with the parent contribution matters.

Useful derivative assessment therefore concerns ordered scattering and comparability as well as chemical uptake. If modification changes the parent structure substantially, the assumed decomposition into unchanged parent plus added reference is inadequate. Heavy-atom labeling describes the motivation for introducing the reference; a heavy-atom derivative is the resulting experimental specimen.

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 $F_k$. The two positive densitieshave $F_0=3$, $F_{\pm 1}=1/2$ and $F_{\pm 2}=\pm 1/4$, with the final sign distinguishing them. Their squared coefficient magnitudes are identical:9 for mode zero,1/4 for modes $\pm 1$ and1/16 for modes $\pm 2$. The relative phase of the second harmonic has changed while the first harmonic is fixed. Thus equal intensities need not identify one density.

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.

Multiple isomorphous replacement combines a native X-ray diffraction data set with data from two or more heavy-atom derivatives to estimate the native structure factor phases. In the ideal crystal isomorphism model, each derivative adds a constraint $|F_P+F_{H,j}|=|F_{PH,j}|$. Consistently referenced heavy-atom models can distinguish the two alternatives left by single isomorphous replacement.^[ref]

Continue the original example in single isomorphous replacement, where $F_P=4\pm 3i$ both fit the native amplitude5 and first derivative with $F_{H,1}=3$. Choose a second reference $F_{H,2}=2i$. Its predicted squared amplitudes differ:A measured second-derivative amplitude $\sqrt{41}$ therefore selects $4+3i$ in this exact model. If the second reference had instead been real, both candidates would still have equal magnitudes after adding it. An additional derivative must contribute useful geometry, rather than merely repeat a constraint.

The heavy-atom models must share a consistent coordinate origin and handedness. Resolving a circle-crossing ambiguity does not by itself determine absolute handedness: conjugating all the amplitudes preserves their magnitudes. CCP4's diagrams explicitly retain this distinction.^[ref]

The method has a concrete experimental history. The opening of the1960 myoglobin structure report describes several mercury- or gold-containing derivatives whose X-ray diffraction patterns were compared with the unsubstituted protein. These measurements had supplied phases for the earlier map at spacings greater than6Å; the new report advanced the analysis to2Å.^[ref] Different labeled crystals supplied information unavailable from native intensities alone.

Divergence preserves a structural framework while function changes; convergence produces similar solutions within otherwise different frameworks. Evidence should compare the entire protein fold, the sequence order and connectivity of structural elements, and the geometry of functional residues. Similar activity alone cannot distinguish either history, because many unrelated structures can perform the same reaction.

The globin fold illustrates divergence. myoglobin and the alpha and beta chains of haemoglobin share a predominantly alpha-helical architecture and a homologous pocket for haem. The proximal histidine coordinates the iron, and the surrounding pocket modulates ligand binding. Myoglobin is principally a monomeric oxygen-binding protein, whereas haemoglobin subunits interact within a tetramer to give cooperative oxygen transport. Their conserved core architecture and alignable sequence positions support descent from an ancestral globin, with duplication and subsequent specialization. Structural similarity remains recognizable even when many surface residues have changed. The functional difference arises partly from new intersubunit interactions rather than construction of an entirely new oxygen-binding chemistry.

Trypsin, chymotrypsin and elastase provide a second divergent series. They retain the chymotrypsin-like fold and corresponding catalytic triad residues, but changes in the specificity pocket favour different side chains next to the scissile peptide bond. A negatively charged pocket in trypsin favours basic residues; a hydrophobic pocket in chymotrypsin favours bulky aromatic residues; obstruction of the pocket in elastase favours smaller side chains. Conserved topology, residue correspondence and related sequences support common ancestry. The particular numbering of homologous catalytic residues is useful shorthand, but matching residue numbers alone is not evolutionary evidence.

For convergence, compare chymotrypsin-like proteases with subtilisin. Both are serine proteases using a serine nucleophile, histidine as a proton-transfer partner and an aspartate that organizes the histidine. Both stabilize a tetrahedral intermediate and form an acyl-enzyme. Nevertheless, their global folds differ, and the catalytic residues occur in different orders along the polypeptide: His–Asp–Ser in the chymotrypsin family and Asp–His–Ser in subtilisin. The similar local catalytic arrangement embedded in distinct topologies is evidence for independent assembly of effective serine-protease chemistry. Early three-dimensional structures made comparison of these spatial arrangements possible.^[ref]

The contrast is between a conserved scaffold with modified chemistry or specificity and independently organized scaffolds converging on a favourable active-site geometry. Chemical constraints help explain convergence: catalysis benefits from appropriately positioned acids, bases, nucleophiles and stabilizing charges. They do not require the rest of the protein to become similar.

Structural inference has limits. A common small motif can occur by chance or reflect physical constraints; failure to detect sequence similarity does not prove absence of ancient homology. Strong conclusions combine global structural alignment, sequence-profile comparisons, taxonomic distribution and molecular phylogeny. Domain duplication, rearrangement and loss can complicate a simple family tree. Thus structural resemblance is most persuasive when its extent and topology are evaluated alongside independent evolutionary evidence, rather than classifying every shared helix or catalytic residue as proof of common descent.