Proceedings of the Royal Society. Section A, Mathematical and Physical Science

acoustic behaviour bifurcation c.s. planes calculated CALIFORNIA UNIVERSITY Chem coefficients column component condition constant coordinate system corresponding crystal cylinder decay defined deformation density dielectric dielectric constant dipole doublet drift force eigenvalue elastic energy equation Ewald experiment experimental field finite flow fluid loading frequency given gravitational Green function H₂ horizontal hyperspherical coordinates lattice lattice energy LIBRARY San Francisco limit linear Lond matrix mean field theory measured method moduli molecular mass molecule Neumann problem neutrinos observed obtained oxygen parameters pass bands perovskite perturbation phase Phys polarizabilities polymer positive potential problem reaction rotating rutile San Francisco LIBRARY shown in figure simulation solitary waves solutions stop band stress structure surface symmetry temperature tensor theoretical theory torsion balance transition unit cell UNIVERSITY OF CALIFORNIA vacancy disc variation velocity viscoelastic z₁ zero