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A method to investigate anharmonicity, vibrational anisotropy and thermalexpansion using correlated mean-square relative displacements (MSRD) paralleland perpendicular to the interatomic bonds obtained only from Extended X-rayAbsorption Fine Structure (EXAFS) analysis based on cumulant expansion issuggested and applied to an amorphous Ni$_{46}$Ti$_{54}$ alloy produced bymechanical alloying. From EXAFS measurements taken on Ni and Ti K edges atseveral temperatures, the thermal behavior of $\text{MSRD}_\parallel$,$\text{MSRD}_\perp$ and of the cumulants $C_1^*$, $C_2^*$ and $C_3^*$ of thereal distribution functions $\varrho_{ij}(r,T)$, and also the Einsteintemperatures and frequencies associated with parallel and perpendicular motionwere obtained, furnishing information about the anharmonicity of theinteratomic potential, vibrational anisotropy and the contribution of theperpendicular motion to the total disorder and thermal expansion.

Investigation on Anharmonicity, Vibrational Anisotropy and Thermal  Expansion of an Amorphous Ni$_{46}$Ti$_{54}$ Alloy Produced by Mechanical  Alloying using Extended X-ray Absorption Fine Structure