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exercises:2014_ethz_mmm:reaction_energy

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Reaction Energy

In this exercise, you will calculate the reaction energy for the mehane combustion reaction:

Reaction energy:

Ground state oxygen, O2, is a triplet diradical, a property which can explain why liquid oxygen is paramagnetic and attracted to the poles of a magnet.

For this reason, to get the energy of the O2 molecule, a LSD calculation is required.

1.Step

Run a single point calculation for CH4, using the given input file. Note that the file contains explicit basis sets and potential for all-electron calculations. An explanation of the basis set formats is given here: Basis Sets

CH4.inp
&GLOBAL
  PROJECT CH4
  RUN_TYPE ENERGY
  PRINT_LEVEL MEDIUM
&END GLOBAL

&FORCE_EVAL
  METHOD Quickstep              ! Electronic structure method (DFT,...)
  &DFT
    &POISSON                    ! Solver requested for non periodic calculations
      PERIODIC NONE
      PSOLVER  WAVELET          ! Type of solver
    &END POISSON
    &QS                         ! Parameters needed to set up the Quickstep framework
      METHOD GAPW               ! Method: gaussian and augmented plane waves 
    &END QS

    &XC                        ! Parametes needed to compute the electronic exchange potential 
      &XC_FUNCTIONAL NONE      ! No xc functional
      &END XC_FUNCTIONAL
      &HF                      ! Hartree Fock exchange. In this case is 100% (no fraction specified).   
        &SCREENING             ! Screening of the electronic repulsion up to the given threshold.               
          EPS_SCHWARZ 1.0E-10  ! Threshold specification
        &END SCREENING
      &END HF
    &END XC
  &END DFT

  &SUBSYS
    &CELL
      ABC 10 10 10
      PERIODIC NONE              ! Non periodic calculations. That's why the POISSON scetion is needed 
    &END CELL
    &TOPOLOGY                    ! Section used to center the atomic coordinates in the given box. Useful for big molecules
      &CENTER_COORDINATES
      &END
    &END
    &COORD
  C         4.6425962273        5.0574874650        5.2069537560
  H         5.7240587065        5.0555482951        5.2189766147
  H         4.2766068912        5.8773176685        5.8100567767
  H         4.2759350196        4.1226994019        5.6087492584
  H         4.2938562590        5.1744089096        4.1899119266
    &END COORD
    &KIND H                                      ! potential and basis for H 
      &BASIS   
        3
  1  0  0  3  1
         12.25200000          0.02282200
          1.86870000          0.15564000
          0.41821000          0.48898000
  1  0  0  1  1
          0.10610000          1.00000000
  1  1  1  1  1
          1.00000000          1.00000000
      &END                      
      POTENTIAL ALL
      &POTENTIAL
       1    0    0
       0.20000000    0
      &END 
    &END KIND
    &KIND C                                      ! potential and basis for C
      &BASIS
         5
  1  0  0  6  2
       1252.60000000          0.00557360          0.00000000
        188.57000000          0.04149600         -0.00027440
         42.83900000          0.18263000         -0.00255830
         11.81800000          0.46129000         -0.03337500
          3.55670000          0.44931000         -0.08730500
          0.54258000          0.00000000          0.53415000
  1  0  0  1  1
          0.16058000          1.00000000
  1  1  1  3  1
          9.14260000          0.04449900
          1.92980000          0.23108000
          0.52522000          0.51227000
  1  1  1  1  1
          0.13608000          1.00000000
  1  2  2  1  1
          0.80000000          1.00000000
      &END
      POTENTIAL ALL
      &POTENTIAL
      4    2    0
      0.34883045    0
      &END
    &END KIND

  &END SUBSYS
&END FORCE_EVAL

If the calculation was performed correctly, the total energy of the CH4 molecule is printed in the output file.

 **** **** ******  **  PROGRAM STARTED AT               
 ***** ** ***  *** **   PROGRAM STARTED ON                   
 **    ****   ******    PROGRAM STARTED BY                               
 ***** **    ** ** **   PROGRAM PROCESS ID                                 
  **** **  *******  **  PROGRAM STARTED IN                    

.....

ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): 

.....

  **** **** ******  **  PROGRAM ENDED AT                 
 ***** ** ***  *** **   PROGRAM RAN ON                       
 **    ****   ******    PROGRAM RAN BY                                  
 ***** **    ** ** **   PROGRAM PROCESS ID                                 
  **** **  *******  **  PROGRAM STOPPED IN           


2.Step

Modify the input in order to perform the same calculation for:

  • H2O
  • CO2
  • O2 TRIPLET
Atomic coordinates for all the moelcules, POTENTIAL and BASIS SET for KIND O are given at the end of the exercise.
Remember that the O2 ground state is a triplet state, with non paired electrons. MULTIPLICITY=2S+1=3.

For O2 triplet, the LSD and MULTIPLICITY keywords are needed in the DFT section:

  METHOD Quickstep              
   &DFT                          
     LSD                           ! Requests a spin-polarized calculation for unpaired electrons
     MULTIPLICITY 3                ! Multiplicity = 2S+1 (S= total spin momentum)                      
  ...
  

Another example can be found here Basis Sets

3.Step

At the end, you should get a table like:

Species Total Energy
CH4
O2
H2O
CO2

Now you can compute the overall reaction energy.

Questions

  • Report the total energy for all the molecules, and the overall reaction energy for CH4 combustion.
  • (Optional) Compute the total enery for O2 singlet and the energy difference with O2 triplet.

Additional material

O BASIS SET

#O  pc-2
  9
  1  0  0  8  2
      14782.00000000          0.00053519          0.00000000
       2217.30000000          0.00413750         -0.00000193
        504.74000000          0.02124500         -0.00005796
        142.87000000          0.08245300         -0.00079494
         46.30000000          0.23671000         -0.00731250
         16.33700000          0.44039000         -0.04057400
          5.98280000          0.36465000         -0.09159400
          1.67180000          0.00000000          0.20940000
  1  0  0  1  1
          0.64662000          1.00000000
  1  0  0  1  1
          0.21669000          1.00000000
  1  1  1  4  1
         60.42400000          0.00689490
         13.93500000          0.04900500
          4.15310000          0.18255000
          1.41580000          0.37633000
  1  1  1  1  1
          0.47549000          1.00000000
  1  1  1  1  1
          0.14529000          1.00000000
  1  2  2  1  1
          2.20000000          1.00000000
  1  2  2  1  1
          0.65000000          1.00000000
  1  3  3  1  1
          1.10000000          1.00000000
  • O potential
#O ALLELECTRON ALL
    4    4    0
     0.24762086    0
  • O2 coordinates
  O         4.4705353672        4.7577727756        4.9999951398
  O         5.5294646329        5.2422272244        5.0000048599
  • CO2 coordinates
  • H2O coordinates
exercises/2014_ethz_mmm/reaction_energy.1395850326.txt.gz · Last modified: 2020/08/21 10:14 (external edit)