According to Waser and Pauling the Badger rule on the relation between force constant and interatomic distance in diatomic molecules holds in solids, too. On this basis the stretching mode and the bending mode of the central atom in the unit cells were calculated for boron carbide with good and for β‐rhombohedral boron with satisfactory accuracy. Moreover the vibration frequencies originating from the F1u mode of the free icosahedron can be obtained successfully, at least their center position. The weak phonons in the lower frequency part of the phonon spectrum of β‐rhombohedral boron are attributed to vibrations of the rigid icosahedra.
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© 1991 American Institute of Physics.
1991
American Institute of Physics
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