Elasticity of tetragonal end-member majorite and solid solutions in the system Mg₄Si₄O₁₂-Mg₃Al₂Si₃O₁₂

Abstract

 The adiabatic elastic moduli of polycrystalline En₅₀Py₅₀ and En₈₀Py₂₀ majorite-garnet solid solutions (where En=4MgSiO₃, Py=Mg₃Al₂Si₃O₁₂) and the end-member En₁₀₀ tetragonal majorite were determined at ambient conditions using Brillouin spectroscopy. The adiabatic bulk modulus, K, and shear modulus, μ, of En₅₀Py₅₀ were found to be K=173.1 (20) and μ=92.3 (10) GPa, and are indistinguishable from those of the end-member pyrope, Py₁₀₀. The moduli of the more majorite-rich samples are significantly lower and are virtually identical to each other (K=162.6(11) and μ=85.7(7) for En₈₀Py₂₀; K=166(5) and μ=88(2) for En₁₀₀). In combination with previously reported moduli for this system, we conclude that both K and μ are constant over the compositional range from Py₁₀₀ to a majorite content of about 70–80%, whereupon the moduli decrease substantially. For compositions ranging from En₈₀Py₂₀ to the end-member majorite, the moduli are also approximately independent of composition, but at a lower value. An alternative model with a continuous decrease in moduli with increasing majorite content cannot be excluded, within the uncertainties of existing measurements. The contrast in moduli between aluminous pyrope garnet and Al-free majorite are small compared with the modulus changes accompanying the pyroxene – majorite phase transformation.