1) Is this still the case? When I enable this setting in my own calculations (QE v6.3) I see the cell does indeed allow only z-relaxation in the cell, but it does so for all the lattice directions rather than just the a_3 lattice direction.

In general cell_dofree works with BFGS, but it is true that some times damped dynamics is more reliable.

I.e. I recently did some relaxations with cell_dofree="shape", as BFGS was not findign the minimum for some volumes, I just put
  cell_dynamics="damp-pr"
  ion_dynamics = 'damp'
with everything default.

cheers

--
Lorenzo Paulatto - Paris
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