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absorbtion_spectra_by_fermi_golden_rule [2014/07/23 12:42]
prokop created
absorbtion_spectra_by_fermi_golden_rule [2014/07/24 14:30]
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-There is a possibility to evaluate rught estimation of UV-VIS absorption spectra by [[http://​en.wikipedia.org/​wiki/​Fermi'​s_golden_rule|Fermi golden rule]] between Kohn-Sham orbitals. For given range range of photon energy are selected all pairs of occupied and unoccupied gorund-state Kohn-Sham orbital with appropriate energy difference. This two orbitals are than projected onto real space grid and [[http://​en.wikipedia.org/​wiki/​Transition_dipole_moment|transition dipole moment]] is computed. Oscilator strength (or probability of transition) is than proportional to squere of length of transition dipole moment. Absorbtion spectra ​ can be than plotted by summing up contributions of oscillator strength for occupied-unoccupied orbital pairs with energy difference falling into particular energy bins (like weighted histogram). ​   
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-Note that this method ( Fermi golden rule between ground state single particle states obtained from LDA-DFT ) is very crude approximation of true optical transitions. No beyond-DFT nor beyond-Hratree-Fock correction (such as RPA, TD-DFT, GW, BSE ... ) are used. For this reason transition energy ( positioning of peak ) is mostly not realistic. The method is, however, useful to explore dependence of electronic transition probability on symmetry breaking and changes in shape and localization of electronic states. 
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-=== Availability === 
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-this is implemented only in Prokop'​s personal versions of Fireball located in  
-  /​data/​home/​hapala/​Fireball_dev/​src_1.0-BSfinal 
-  /​data/​home/​hapala/​Fireball_dev/​progs_Jellium_mod 
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-=== Usage === 
-The computation of transitions is activated by keyword ''​iwrtexcit = 1''​ in firebal.in. However, currently it is also necessary to activate ''​iwrtewf = 1''​ in order to initialize grid, even thought ''​.xsf''​ files written by ''​iwrtewf''​ option are not used at all and has nothing incommion with the computatuion of transitions ( this should be corrected in future). So the typical ''​fireball.in''​ looks like: 
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-  &OPTION 
-  basisfile ​ = answer.bas ​ 
-  nstepf ​    = 1 
-  icluster ​  = 1 
-  ifixcharge = 1 
-  &END 
-  &OUTPUT 
-  iwrtewf ​    = 1 
-  iwrtexcit=1 
-  &END 
-  &MESH 
-  iewform = 3 
-  npbands = 1 
-  pbands = 1 
-  &END 
absorbtion_spectra_by_fermi_golden_rule.txt ยท Last modified: 2014/07/24 14:30 (external edit)