Therefore, pressure-induced phases transition=(DeltaE)/(DeltaV) which
DeltaE=E2-E1 ( Energy of two phases at optimized Volume) and
DeltaV=V2-V1( Volume of two phases at optimized volume)
Is it correct?

No. The phase transition does not happen from the optimized volume of phase 1 to the optimized volume of phase 2.

usually in paper, they find possible pressure-induced phases transition
by using Gibbs data.
they find difference of Gibbs energy (DeltaG) from two phases and find
the pressure which in it DeltaG=0.
Can you guide me how i can do that?
I know Gibbs=E + PV at zero-temperature.
Can you guide me how i can find data (E,P,V) for gibbs calculations in
WIEN2k.

You wrote almost the answer. Calculate a few E(V) data points for the first phase, fit a Murnaghan equation of state through them (x eosfit), and you have as a result (V, E, P)-data for the studied interval (case.outputeos, case.eosfit, case.eosfitb). From this, you can easily calculated the enthalpy H=E+PV. Repeat for the second phase, and see at which pressure the two enthalpy curves intersect.

Stefaan
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