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exercises:2017_uzh_cmest:adsorption [2017/11/06 15:21] tmuellerexercises:2017_uzh_cmest:adsorption [2017/11/07 14:36] – [CO adsorption on graphene] tmueller
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 ===== Lattice constant optimization ===== ===== Lattice constant optimization =====
  
-As you have seen in earlier exercises, the actual energy -- and therefore also the stress tensor -- depends on many parameters, like the selected functional. This means that geometrical parameters like the lattice constant may also vary and therefore needs to be optimized first when building a new geometry. While this could be done using CP2K's ''CELL_OPT'' run type, optimizing both the lattice/cell constants and the geometry simultaneously, we are going to do it manually here.+As you have seen in earlier exercises, the actual energy -- and therefore also the stress tensor -- depends on many parameters, like the selected functional. This means that geometrical parameters like the lattice constant may also vary and therefore need to be optimized first when building a new geometry. While this could be done using CP2K's ''CELL_OPT'' run type, optimizing both the lattice/cell constants and the geometry simultaneously, we are going to do it manually here, especially since we can assume that only the lattice constant will actually change.
  
 What we are using to determine the center volume (the volume for which the energy is minimal) is the Birch–Murnaghan equation of state (to be precise: the BM equation integrated over pressure), which links the energy and the volume using the minimal energy $E_0$, the center volume $V_0$, the bulk modulus $B_0$ and its derivative $B_1$: What we are using to determine the center volume (the volume for which the energy is minimal) is the Birch–Murnaghan equation of state (to be precise: the BM equation integrated over pressure), which links the energy and the volume using the minimal energy $E_0$, the center volume $V_0$, the bulk modulus $B_0$ and its derivative $B_1$:
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 \end{align*} \end{align*}
  
-Use the following input file as a starting point, and an adapted version of the script you documented in a [[exercises:2017_uzh_cmest:calculation_pbc|previous exercise]] to generate a number of input files for different lattice constants and run the respective calculation.+Use the following input file as a starting point, and an adapted version of the script you documented in a [[exercises:2017_uzh_cmest:calculation_pbc|previous exercise]] to generate a number of input files for different lattice constants and run the respective calculation. A good interval for the fraction of the lattice constant is $0.90-1.10$ with a step size of $0.025$. 
 Extract the energies and fit $E_0$, $V_0$, $B_0$, $B_1$ using the Birch–Murnaghan EOS and using the new $V0$ determine the lattice constant. Extract the energies and fit $E_0$, $V_0$, $B_0$, $B_1$ using the Birch–Murnaghan EOS and using the new $V0$ determine the lattice constant.
  
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 <code> <code>
 a=3.54 a=3.54
-sed -e "s/2.4612/$a/g" graphene.inp > "graphene_V-${x}.inp"+sed -e "s|2.4612|$a|g" graphene.inp > "graphene_V-${x}.inp"
 </code> </code>
 </note> </note>
  
-=====CO adsorption on graphene=====+<note warning> 
 +Be careful when fitting values for the Birch-Murnaghan EOS: the volume is usually the volume per atom (and the total volume of the cell you can also get from the CP2K output). 
 +</note> 
 +===== CO adsorption on graphene ===== 
 + 
 +Adsorb one <chem>CO</chem> molecule on a graphene 6X6X1 supercell at the top (//T//), bridge (//B//) and center (//C//) sites with oxygen atop the carbon (and both perpendicular to the graphene, the //u// orientation) and optimize the geometry. See the paper for the definitions as well as initial values for the distances. 
 + 
 +You need change the ''RUN_TYPE'' to ''GEO_OPT'' and also specify the (absolute) coordinates by yourself. 
 + 
 +<note tip> 
 +You can get a 6x6x1 unit cell with absolute coordinates by using ''MULTIPLE_UNIT_CELL'' for the original/geometry-optimized input file like shown in a previous examples, run it with CP2K and get the calculated absolute coordinates from the CP2K output (you can interrupt the actual calculation since the coordinates are printed before the actual calculation starts):
  
-Adsorb one CO molecule on the graphene 6X6X1 supercell at the top(T), bridge(B) and center(C) sites and optimize the geometry. 
-You need change the RUN_TYPE to GEO_OPT and also specify the coordinate by yourself. One can get 6x6x1 unit cell by using MULTIPLE_UNIT_CELL which was mentioned in previous exercises. 
 <code> <code>
-&GLOBAL +[...] 
-  PROJECT graphene + MODULE QUICKSTEP:  ATOMIC COORDINATES IN angstrom 
-  RUN_TYPE GEO_OPT + 
-  PRINT_LEVEL MEDIUM +  Atom  Kind  Element                                    Z(eff)       Mass 
-&END GLOBAL+ 
 +           1 C    6    1.267080    0.731549    0.000000      4.00      12.0107 
 +           1 C    6    2.534160    1.463098    0.000000      4.00      12.0107 
 +           1 C    6    3.801240    0.731549    0.000000      4.00      12.0107 
 +           1 C    6    5.068320    1.463098    0.000000      4.00      12.0107 
 +           1 C    6    6.335400    0.731549    0.000000      4.00      12.0107 
 +[...]
 </code> </code>
 +</note> 
 +
 +
 +The adsorption energy is given by:$ E_{ad} = E_{CO+graphene} - E_{CO} - E_{graphene}$
  
-The adsorption energy is given by:$ E_{ad} = E_{CO-graphene} - E_{CO} - E_{graphene}$+This means that you also have to run an auxiliary geometry optimization calculation for <chem>CO</chem> in vacuum, using the same settings as for the other calculations except for the periodicity. Use a large enough cell (~ 15 Å) and ''[[https://manual.cp2k.org/trunk/CP2K_INPUT/FORCE_EVAL/SUBSYS/TOPOLOGY/CENTER_COORDINATES.html|CENTER_COORDINATES]]'' for this.
  
-Find the most stable adsorption site and study the coverage effect such like 1/2 and 1. What do you observe when increasing the coverage?+Which one is the most stable adsorption site?
exercises/2017_uzh_cmest/adsorption.txt · Last modified: 2020/08/21 10:15 by 127.0.0.1