Anharmonic compression of the glitter lattice.
A previous report has described the crystal structure of glitter, which is a dense 3-,4-connected net composed of ethylenic columns that run parallel to the c-axis of the unit cell. Such a structure invites speculation as to its relative stiffness along that axis. A semiempirical expression due to Cohen was used in a previous communication to estimate its zero-pressure bulk modulus. This estimate exceeds that of any known material at 440 GPa. Further, by treating the ethylenic units as harmonic springs, a correction was computed for the elastic deformation of the carbon-carbon double bonds along the c-axis. This correction is on the order of 300 GPa for deformations of the double bonds of approximately 0.1 angstroms. The present communication treats the ethylenic units along the c-axis of glitter as anharmonic springs obeying a Morse potential and a Morse's law force. Within the anharmonic approximation, at modest bond length deformations, x', the bulk modulus at pressure of the glitter lattice exceeds 1 TPa.
Bucknum
Michael J
MJ
Georgia College and State University, CBX 82, Milledgeville, GA 31061, USA.
Castro
Eduardo A
EA
D003460:Crystallization; D053138:Cyclohexenes / Q000737:chemistry; D008956:Models, Chemical; D008968:Molecular Conformation
D053138:Cyclohexenes; C048401:1,4-cyclohexadiene