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Ivory is the dentine material of tusks and certain other large teeth. It is a mineralized biological tissue, rather than the enamel coating of a tooth or an undifferentiated piece of bone. In elephant ivory, mineralized collagen fibres form a spatially organized composite: identifying its chemical ingredients does not specify their arrangement.^[ref]

A 2018 structural study combined X-ray scattering, observations with polarized light and a scanning electron microscope. The measurements found changing fibre orientations from the outside toward the inside of the tusk. Mid-dentine fibres lay mainly along its length in layers with oscillating orientations. The authors related this arrangement and collagen birefringence to the visible Schreger pattern, rather than treating light and dark regions as necessarily different chemical substances.^[ref]

An illuminating comparison is to cut two sections of one oriented composite, one across its long direction and one along it. Their patterns can differ even if their average composition is the same. This geometrical example explains why a section's appearance must be interpreted together with its orientation; it is not a species-identification test.

The distinction between composition and organization also motivates solid-state nuclear magnetic resonance. Historical CPMAS demonstrations included an ivory billiard ball, showing how a rigid biological material could yield chemically informative spectra.^[ref]

Jacob Schaefer was a physical chemistry researcher who developed methods for studying complex solid materials using solid-state nuclear magnetic resonance. After his 1964 doctorate he worked at Monsanto, then joined Washington University in 1986. His contributions included cross-polarization magic-angle spinning with Edward O. Stejskal and rotational-echo double resonance with Terry Gullion.^[ref]

The materials in the 1976 cross-polarization magic-angle spinning demonstration made the method's reach tangible. They included polysulfone, ebony wood and a cylinder cut from an ivory billiard ball. Schaefer's father and grandfather were billiards champions; a familiar object became a specimen for measuring carbon-13 responses in a complex solid. Combining polarization transfer with magic angle spinning made weak and broadened solid-state responses much more accessible.^[ref]

REDOR addresses another measurement problem. Magic angle spinning averages interactions that broaden spectra, but some of those interactions carry structural information. Appropriately timed radio frequency pulses restore sensitivity to NMR dipolar coupling between different nuclear species. Comparing a reference echo with a deliberately dephased echo then probes that coupling, with structural interpretation supplied by a suitable spin model.^[ref]

Schaefer reproduced a laboratory record from 29 May 1987 in which Gullion measured carbon-13 spectra of nitrogen-15-labelled alanine. Carbon remained at natural isotopic abundance. The record compares full and dephased echoes at a carbon frequency of $50.3\mathrm{MHz}$, using magic angle spinning at $3.2\mathrm{kHz}$ and 10 rotor periods of dipolar evolution. The corresponding duration isThe reproduced record does not give sample mass or number of accumulated scans. Later use of XY8 NMR phase cycling suppressed pulse-train amplitude and phase errors, enabling measurements of weaker couplings over longer pulse trains.^[ref]