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Tutorial 1: Spontaneous polarization in BaTiO3 (approx ... - WIEN 2k

Tutorial 1: Spontaneous polarization in BaTiO3 (approx ... - WIEN 2k

Tutorial 1: Spontaneous polarization in BaTiO3 (approx ... - WIEN 2k

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BerryPI (tutorial 1)2.4 Rename all lambda1.* files to lambda0.* files with$ rename_files lambda1 lambda02.5 Restore orig<strong>in</strong>al k-mesh tak<strong>in</strong>g <strong>in</strong>to account the symmetry$ x kgenwith 230 k-po<strong>in</strong>ts (shifted)2.6 Initialize the electron density accord<strong>in</strong>g to the new structure$ x dstart2.7 Run standard SCF cycle.$ run_lapw2.8 Run BerryPI$ berrypi -p$(pwd) -k6:6:62.9 Once the calculation is completed the results will be pr<strong>in</strong>ted like this---POLARIZATION IN C/m^2 FOR [0 to 2] PHASE/2PI RANGE---TOTAL POLARIZATION: [ _____________ , _____________ , ______________]---POLARIZATION IN C/m^2 FOR [-1 to +1] PHASE/2PI RANGE---TOTAL POLARIZATION: [ _____________ , _____________ , ______________]3 <strong>Spontaneous</strong> <strong>polarization</strong>Calculation of <strong>Spontaneous</strong> Polarization us<strong>in</strong>g the Z components of <strong>polarization</strong>s obta<strong>in</strong>ed <strong>in</strong> lambda1and lambda0.The spontaneous <strong>polarization</strong> is def<strong>in</strong>ed as the difference <strong>in</strong> the <strong>polarization</strong> between thecentrosymmetric (lambda1) and non-centrosymmetric (lambda0) structures.P_s= P_z(lambda1)- P_z(lambda0)=____________ - ___________ = ____________ C/m^2Page 3 of 4

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