What is a promising method to calculate the lattice constant?

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Ketan Lohani

Reitveld refinement is most promising method to calculate exact lattice parameters.

Sathiya Priya

Lattice constant values calculated from unitcellwin software.

Ari-Pekka Honkanen

You can use software based on the density-functional theory to minimize the total energy of the crystal structure. One free option would be Quantum Espresso https://www.quantum-espresso.org/ for which the relevant tutorial is here: http://www.fisica.uniud.it/~giannozz/QE-Tutorial/handson_pwscf.pdf

Experimentally you can for example use EXAFS (extended x-ray absorption fine structure) at Ag K edge to determine the atomic distances. However, XRD or WAXS (wide angle x-ray scattering) is probably easier to access.