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cu_bulk_parameter_optimization

Lattice parameter

In this section, we explain how to optimize the lattice parameter of Ci bulk fcc structure. The fcc structure is characterized by single distinct atom per unit cell with relative coordinates (0 ,0 ,0) . The lattice vector is defined in the relative coordinates alat*(1/4, 1/4, 1/4). Detail description of the diamond structure can be found elsewhere. There is an elegant way to rescale atomic coordinates, lattice vector and k-points by only one parameter rescal defined in the section &OPTIONS. Our input atomic coordinates written in Cu_bulk.bas look like:

     1
  29    0.00000    0.00000    0.00000

The lattice vector is defined in Cu_bulk.lvs file:

  0.70711    0.00000    0.00000
  0.35355    0.61237    0.00000
  0.35355    0.20412    0.57735

The k-points 8x8x8 Monkhorst-Pack grid can be by Oh symmetry reduced into 128 k-points. They are in Cu_bulk.kpts file:

       128
 -1.07541645   -0.62089056   -0.10467514           0.00781250
 -1.07541645   -0.62089056   -0.07476795           0.00781250
 -1.07541645   -0.62089056   -0.04486077           0.00781250
 -1.07541645   -0.62089056   -0.01495359           0.00781250
 -1.07541645   -0.26609597   -0.10467514           0.00781250
 -1.07541645   -0.26609597   -0.07476795           0.00781250
 -1.07541645   -0.26609597   -0.04486077           0.00781250
 -1.07541645   -0.26609597   -0.01495359           0.00781250
 -1.07541645    0.08869865   -0.10467514           0.00781250
 -1.07541645    0.08869865   -0.07476795           0.00781250
 -1.07541645    0.08869865   -0.04486077           0.00781250
 -1.07541645    0.08869865   -0.01495359           0.00781250
 -1.07541645    0.44349325   -0.10467514           0.00781250
 -1.07541645    0.44349325   -0.07476795           0.00781250
 -1.07541645    0.44349325   -0.04486077           0.00781250
 -1.07541645    0.44349325   -0.01495359           0.00781250
 -1.07541645    0.79828787   -0.10467514           0.00781250
 -1.07541645    0.79828787   -0.07476795           0.00781250
 -1.07541645    0.79828787   -0.04486077           0.00781250
 -1.07541645    0.79828787   -0.01495359           0.00781250
  1.38267840   -0.26609593   -0.10467514           0.00781250
  1.38267840   -0.26609593   -0.07476795           0.00781250
  1.38267840   -0.26609593   -0.04486077           0.00781250
  1.38267840   -0.26609593   -0.01495359           0.00781250
  1.38267840    0.08869869   -0.10467514           0.00781250
  1.38267840    0.08869869   -0.07476795           0.00781250
  1.38267840    0.08869869   -0.04486077           0.00781250
  1.38267840    0.08869869   -0.01495359           0.00781250
 -1.07541645   -0.97568511   -0.10467514           0.00781250
 -1.07541645   -0.97568511   -0.07476795           0.00781250
 -1.07541645   -0.97568511   -0.04486077           0.00781250
 -1.07541645   -0.97568511   -0.01495359           0.00781250
 -0.76815462   -0.79828787   -0.10467514           0.00781250
 -0.76815462   -0.79828787   -0.07476795           0.00781250
 -0.76815462   -0.79828787   -0.04486077           0.00781250
 -0.76815462   -0.79828787   -0.01495359           0.00781250
 -0.76815462   -0.44349325   -0.10467514           0.00781250
 -0.76815462   -0.44349325   -0.07476795           0.00781250
 -0.76815462   -0.44349325   -0.04486077           0.00781250
 -0.76815462   -0.44349325   -0.01495359           0.00781250
 -0.76815462   -0.08869865   -0.10467514           0.00781250
 -0.76815462   -0.08869865   -0.07476795           0.00781250
 -0.76815462   -0.08869865   -0.04486077           0.00781250
 -0.76815462   -0.08869865   -0.01495359           0.00781250
 -0.76815462    0.26609597   -0.10467514           0.00781250
 -0.76815462    0.26609597   -0.07476795           0.00781250
 -0.76815462    0.26609597   -0.04486077           0.00781250
 -0.76815462    0.26609597   -0.01495359           0.00781250
 -0.76815462    0.62089056   -0.10467514           0.00781250
 -0.76815462    0.62089056   -0.07476795           0.00781250
 -0.76815462    0.62089056   -0.04486077           0.00781250
 -0.76815462    0.62089056   -0.01495359           0.00781250
 -0.76815462    0.97568518   -0.10467514           0.00781250
 -0.76815462    0.97568518   -0.07476795           0.00781250
 -0.76815462    0.97568518   -0.04486077           0.00781250
 -0.76815462    0.97568518   -0.01495359           0.00781250
 -0.76815462    1.33047974   -0.10467514           0.00781250
 -0.76815462    1.33047974   -0.07476795           0.00781250
 -0.76815462    1.33047974   -0.04486077           0.00781250
 -0.76815462    1.33047974   -0.01495359           0.00781250
 -0.76815462   -1.15308248    0.61309722           0.00781250
 -0.76815462   -1.15308248    0.64300440           0.00781250
 -0.76815462   -1.15308248    0.67291158           0.00781250
 -0.76815462   -1.15308248    0.70281876           0.00781250
 -0.46089280   -0.97568518   -0.10467514           0.00781250
 -0.46089280   -0.97568518   -0.07476795           0.00781250
 -0.46089280   -0.97568518   -0.04486077           0.00781250
 -0.46089280   -0.97568518   -0.01495359           0.00781250
 -0.46089280   -0.62089056   -0.10467514           0.00781250
 -0.46089280   -0.62089056   -0.07476795           0.00781250
 -0.46089280   -0.62089056   -0.04486077           0.00781250
 -0.46089280   -0.62089056   -0.01495359           0.00781250
 -0.46089280   -0.26609597   -0.10467514           0.00781250
 -0.46089280   -0.26609597   -0.07476795           0.00781250
 -0.46089280   -0.26609597   -0.04486077           0.00781250
 -0.46089280   -0.26609597   -0.01495359           0.00781250
 -0.46089280    0.08869865   -0.10467514           0.00781250
 -0.46089280    0.08869865   -0.07476795           0.00781250
 -0.46089280    0.08869865   -0.04486077           0.00781250
 -0.46089280    0.08869865   -0.01495359           0.00781250
 -0.46089280    0.44349325   -0.10467514           0.00781250
 -0.46089280    0.44349325   -0.07476795           0.00781250
 -0.46089280    0.44349325   -0.04486077           0.00781250
 -0.46089280    0.44349325   -0.01495359           0.00781250
 -0.46089280    0.79828787   -0.10467514           0.00781250
 -0.46089280    0.79828787   -0.07476795           0.00781250
 -0.46089280    0.79828787   -0.04486077           0.00781250
 -0.46089280    0.79828787   -0.01495359           0.00781250
 -0.46089280    1.15308249   -0.10467514           0.00781250
 -0.46089280    1.15308249   -0.07476795           0.00781250
 -0.46089280    1.15308249   -0.04486077           0.00781250
 -0.46089280    1.15308249   -0.01495359           0.00781250
 -0.46089280   -1.33047973    0.61309722           0.00781250
 -0.46089280   -1.33047973    0.64300440           0.00781250
 -0.46089280   -1.33047973    0.67291158           0.00781250
 -0.46089280   -1.33047973    0.70281876           0.00781250
 -0.15363093   -1.15308249   -0.10467514           0.00781250
 -0.15363093   -1.15308249   -0.07476795           0.00781250
 -0.15363093   -1.15308249   -0.04486077           0.00781250
 -0.15363093   -1.15308249   -0.01495359           0.00781250
 -0.15363093   -0.79828787   -0.10467514           0.00781250
 -0.15363093   -0.79828787   -0.07476795           0.00781250
 -0.15363093   -0.79828787   -0.04486077           0.00781250
 -0.15363093   -0.79828787   -0.01495359           0.00781250
 -0.15363093   -0.44349325   -0.10467514           0.00781250
 -0.15363093   -0.44349325   -0.07476795           0.00781250
 -0.15363093   -0.44349325   -0.04486077           0.00781250
 -0.15363093   -0.44349325   -0.01495359           0.00781250
 -0.15363093   -0.08869865   -0.10467514           0.00781250
 -0.15363093   -0.08869865   -0.07476795           0.00781250
 -0.15363093   -0.08869865   -0.04486077           0.00781250
 -0.15363093   -0.08869865   -0.01495359           0.00781250
 -0.15363093    0.26609597   -0.10467514           0.00781250
 -0.15363093    0.26609597   -0.07476795           0.00781250
 -0.15363093    0.26609597   -0.04486077           0.00781250
 -0.15363093    0.26609597   -0.01495359           0.00781250
 -0.15363093    0.62089056   -0.10467514           0.00781250
 -0.15363093    0.62089056   -0.07476795           0.00781250
 -0.15363093    0.62089056   -0.04486077           0.00781250
 -0.15363093    0.62089056   -0.01495359           0.00781250
 -0.15363093    0.97568518   -0.10467514           0.00781250
 -0.15363093    0.97568518   -0.07476795           0.00781250
 -0.15363093    0.97568518   -0.04486077           0.00781250
 -0.15363093    0.97568518   -0.01495359           0.00781250
 -0.15363093    1.33047974   -0.10467514           0.00781250
 -0.15363093    1.33047974   -0.07476795           0.00781250
 -0.15363093    1.33047974   -0.04486077           0.00781250
 -0.15363093    1.33047974   -0.01495359           0.00781250

The Fireball.sample file from which fireball.in will be created looks like this:

  &OPTION
  basisfile = Cu_bulk.bas
  lvsfile = Cu_bulk.lvs
  kptpreference = Cu_bulk.kpts
  nstepf = 1
  rescal = AAA
  &END

And finally the running script named eg. fireball.sh is here (please note, that in you directory there has to be a file called runTG.com, which obtains path to the fireball.k.x executable, or the executable itselves):

 alat="3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.31 3.32 3.33 3.34 3.35 3.36 3.37 3.38 3.39"
 for i in $alat;
 do
  echo $i
  mkdir $i
  lattice="`echo $i`";
  sed "s/AAA/$lattice/g"  fireball.sample > fireball.in;
  ./runTG.com > a-$i.out
  en=`grep "etot/atom" a-$i.out | cut -b50-65`
  echo $i $en >> energy.dat
  mv CHARGES $i/
  mv a-$i.out $i/
 done

By simple plotting with gnuplot:

plot "energy.dat" w lp

, you'll obtain, that the optimized lattice constant is 3.3 Angstrom. (The experimental is 3.614 Angstrom.)

cu_bulk_parameter_optimization.txt · Last modified: 2015/05/28 17:15 (external edit)