The structural elements of the β′-2 polymorph of 1,3-dilauroyl-2-myristoylglycerol as found by Birker et al. (J. Am. Oil Chem. Soc. 68:895-906,1991) were also observed in the crystal structures of other long-chain compounds. This analogy led to the assembly of a β′-2 structure at the atomic level from known crystallographic data. The structure was optimized by molecular mechanics and was consistent with experimental data, including satisfactory reproduction of the X-ray powder pattern. To the best of our knowledge, this is the first β′ structure with a 1,2 configuration and an intramolecular orthorhombic subcell which is fully optimized by molecular mechanics to date. It shows all structural elements found earlier by Birker et al.Triacylglycerols (TAG) are esters of glycerol with three fatty acids. In the style of De Jong (1), we will denote a TAG by p.q.r where p, q, and r are the lengths of its three fatty acids, e.g., 12.14.12 for 1,3-dilauroyl-2-myristoylglycerol. TAG are important ingredients in many foods. In some foods such as margarines, where they are present in crystalline form, the particular polymorph determines the overall physical properties. Many polymorphs are known, and the stable ones are roughly classified as β and β′ according to their X-ray powder diagrams. Several structural features are recognized for these TAG polymorphs. The molecular configuration (Fig. 1) will have a direct effect on the conformation of the glycerol moiety. The arrangement of two TAG (Fig. 2), in combination with the tilt of the alkane chains with respect to the plane through the methyl end groups, determines the long-spacing reflections in the powder diagram. The subcell of the acyl chains (Fig. 3) is expected to be responsible for the characteristic short-spacing reflections in the powder diagrams: one at 4.6 Å for β, and two or more around 3.8 and 4.2 Å for β′. For pure compounds, p, q, r, their parity, and the presence of any double bonds determine which polymorph has the lowest free energy. Only the structure of the most stable polymorph of p = q = r or p.p.p (p even, saturated) is known in detail (2-5). This is a β-2 modification. For TAG of the type p.p+2.p (p even, saturated), for which β′ is the most stable polymorph, only rough structural information is known. In 1991, Birker et al. (6) published a variety of structural elements of the β′-2 structure of 12.14.12, but a final structure at the atomic level could not be obtained. A summary of their findings will be given here.From the long-spacing reflections, it was clear that the TAG molecules formed a β′-2 arrangement. The unit cell parameters for 12.14.12 were determined to be a = 22.9 Å, b = 5.7 Å, c = 66.8 Å, α = 90°, β = 91°, γ = 90°, Z = 8, ρ = 1.016 g/cm 3 . This implied that there were four acyl chains along the c-axis. Systematic absences pointed to the orthorhombic space groups Ic2a or Im2a, but since β ≠ 90°, only the monoclinic subgroups I2 or Im were possible. It was stressed that FIG. 1. Configuration of a triacylglycerol (TAG). Two of the three...