Lattice dynamics and thermodynamics for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>δ</mml:mi></mml:math>-plutonium from density functional theory
Per Söderlind, A. Landa, Lin Yang, Babak Sadigh, Sven P. Rudin
Abstract
We present results from density functional theory (DFT) calculations of the lattice dynamics (phonons) and thermodynamics for $\ensuremath{\delta}$-phase plutonium. The fully relativistic electronic structure is calculated assuming a three-dimensional noncollinear magnetic structure in conjunction with DFT and the general gradient approximation for the electron exchange and correlation interactions. The electronic-structure model is further enhanced by addressing strong orbital-orbital coupling via the conventional orbital-polarization (OP) scheme as has been successfully done for plutonium. The temperature dependence of the phonons is calculated within the self-consistent ab initio lattice dynamics approach. The obtained phonons compare very well with measurements although a modest overestimation of the transverse L-point $[\ensuremath{\xi}\ensuremath{\xi}\ensuremath{\xi}]$ phonon is acknowledged. Calculated thermal vibration amplitudes and the associated Debye-Waller temperatures are close to experiments. Lattice, electronic, and magnetic contributions to the heat capacity are predicted and consistent to a few percent with that deduced from experimental data. Good agreement is only achieved when a magnetic contribution to the specific heat is recognized. The parameter-free DFT+OP electronic model is thus capable of predicting phonon properties and thermodynamic behavior of $\ensuremath{\delta}$-phase plutonium rather accurately.