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Talk:Mod:Hunt Research Group/ion pair scan

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How to... conduct a systematic conformational analysis for an ion pair dimer

This is a tutorial about a simple procedure to spherical scan of the potential energy surface of one molecule sampled by another molecule used as a probe. For this scan would be convenient to have a referiment atom in the centre of the sphere but not often the centre of the sphere is occupied by an atom and Gaussian do not allow us to use dummy atoms as referiments for relaxed angle scan (keyword: modredundant). To do that we have to define a coordinate system with some dummy atoms and operate a Z-matrix scan on the coordinates by using the keyword opt=z-matrix in the route.

Herein, I’ll show step by step what I’ve done to set the PES scan for the [C1C4Im][C2C2DTC] ion pair.

1 - Set the referiment system of your scan

As first step you’ll introduce these four dummy atoms reported below as the first four atoms of your z-matrix.


0 1

X

X                  1    3.00000000

X                  1    3.00000000    2            A1

X                  1    3.00000000    2   90.00000000    3            D1    0

These atoms are set to allow us to rotate X3 and X4 in 2 perpendicular planes by modifying A1 and D1 variables.

2 – Define your molecules

Now we have to define the molecules involved in the scan. Each molecule has to be self-referred. This means that its atoms are referred to atoms inside the same molecule so that when one of the atom coordinates is altered all the other atoms referred to it follows that atom; Notwithstanding, the first three atoms declared are an exception as they has to be referred to atoms external to the molecule. To obtain uniquely the rotation of the molecule around the other these three atoms were referred to a set of dummy atoms. To execute a 2D rotational scan 4 dummy atoms has been used. Two of them are static trough the scan whereas the other two rotates around the two static ones. Thinking thoughtfully to the system can be understood why 4 atoms are used. To define a point in the space by a Z-matrix you define it in relation to other points previously defined. Three parameters are used to define a point in the space : the interatomic distance, the angle, and the dihedral angle. The first two parameters can be defined respectively to the two static dummy atoms. Because the rotation of the other two atoms is in plane with the two static dummy atoms it does not affect a dihedral angle defined by the use of rotating atom as one of the terminal atoms of the dihedral angle.

This is the hard point of the creation of the .com file because you have to set the coordinates of the first three atoms thoughtfully to allow the rotation of the molecule without affecting the coordinates of these atoms during it. This can be checked by rotating the angle in gaussview and seeing if the result is what expected. Hopefully, the procedure described hereafter should work but I do not have occasion to check it onto molecules other than the one displayed.

In order to proceed, we have to distinguish the role of the 2 molecules, one will be our ‘probe’ and the other will be our ‘sample’. The ‘sample’ will rotate on itself whereas the ‘probe’ will move around the ‘sample’. The two molecules will respectively move in 2 perpendicular planes of rotation, which will allow to carry out the spheric scan of the interactions between the two molecules.

The dummy atoms 1 and 2 must be included in the axis of rotation of the ‘sample’ and 1 will be the ‘centre of inversion’ of the sphere.

The first three atoms of the probe must be set like this :


C                  1            B1    3  178.99999509    2  -72.98467412    0

S                 30    1.72416943    1   58.52894245    2            D2    0

S                 30    1.72774347   31  122.85100226    1    1.94989600    0

The first atom (atom 30 in this case) is set so that the sample-probe distance is determined by the variable B1, then the angle defines that the atom will be positioned approximatively in line with the atom 1 and 3 so that moving 3 will inherently move this atom and the dihedral angle defines the plane perpendicular to the 1 2 3 atoms plane where the atom 30 will lay(notice that the plane containing 1 2 3 will change through the scan with the movement of the atom 3).

The second atom (atom 31 in this case) is defined with respect to the previous atom for the interatomic distance. Because 1 is the center of the system the angle 1 30 31 will be constant therefore is a good way to define the atom 31 position. Dihedral angle is defined but left variable so that the molecule can tilt respect to the 30-1 axis. The atom 2 is not modified through the scan so it is a good place holder to be used to define the dihedral angle and the variation of the 30 atom position with respect to the movement of the atom 3 does not affect the 31 30 1 2 dihedral angle because it doesn't vary the plane defined by the atoms 30 1 2.

The third atom is defined for the interatomic distance and the angle with respect of the two other atoms defined before. The dihedral angle is defined with respect of the atom 1 that being the centre of the system does not make the dihedral angle trough the scan (plane defined by 30 31 and 1 does not vary trough the scan)

All the remaining atoms of the molecule are defined with respect to these three atoms defined here so that when these three atoms move all the molecule moves coherently. THis can be imposed by the button in gaussview with the letter 'A' that allows to change the coordinates.

The first three atoms of the sample molecule are defined as it follows :


C                  1    1.15771466    2   90.00000000    4   90.00000000    0

N                  1    1.17242544    5   71.45544166    2   83.48309458    0

N                  1    1.13616026    5   69.80539566    6 -173.48309458    0

The position of the molecule is fixed but the first of the three atoms defines the dihedral angle with respect of the coordinates of the atoms C(5) 1 2 4 therefore the rotation of the dummy atom 4 will result in the inherent rotation of the C atom (the dihedral angle that defines the position of the atom 4 is a variable). The other two atoms are defined with the atoms 1 and 2 that does not move during the scan.

3 – Set the scan

After the z-matrix a white line must be left and then we will set our variables :


B1             5.86611814

A1            90.00000000    S       9        -9.90000

D1           -90.00000000    S       9       +10.00000

D2           -90.00000000

Obviously your values will be different but the scan amongst the angle A1 should rotate the probe over and under the plane formed by the atoms 1,3,4 and D1 should rotate the probe in the plane formed by 1,2,3. It is important to remember that Gaussian has some issues with the limiting angles therefore is better to scan until ~179 or ~1 to avoid script faults. Remember to set the opt=z-matrix in the script route.

%nprocshared=8
%mem=14400MB
%chk=test_IN_ON_90.chk
# opt=z-matrix b3lyp/6-31g nosymm geom=connectivity empiricaldispersion=gd3

BMIM

0 1
 X              
 X                  1    2.00000000
 X                  1    3.00000000    2            A1
 X                  1    3.00000000    2   90.00000000    3            D1    0
 C                  1    1.15771466    2   90.00000000    4   90.00000000    0
 N                  1    1.17242544    5   71.45544166    2   83.48309458    0
 N                  1    1.13616026    5   69.80539566    6 -173.48309458    0
 C                  6    2.20589881    7   36.75204317    5  179.62354220    0
 C                  7    2.20741318    6   36.76548810    5 -179.76966396    0
 H                  8    3.24571830    6   41.19810842    7   -0.35958291    0
 C                  6    1.47006172    5  126.67015792    7  179.44651575    0
 C                  7    1.48214358    6  161.27267589    8  170.17035599    0
 H                  8    1.07651940    6  167.56517796    7  179.25571448    0
 H                  9    1.07678623    6  122.06766763    7  179.41091048    0
 H                 11    1.08952723    6  109.31735900    7  121.89721467    0
 H                 11    1.08956200    6  109.42948493    7 -117.41092715    0
 H                 11    1.08825013    6  109.03687137    7    2.28983614    0
 C                 12    1.53044333    6  112.70900607    7   88.75485300    0
 H                 12    1.09089731    6  115.47545821    7  -41.55756898    0
 H                 12    1.09150376    6   96.58931706    7 -154.92737321    0
 C                 18    1.53159261   12  114.02466815    7   60.21093562    0
 H                 18    1.09474130   12  106.71484623    7 -178.13510738    0
 H                 18    1.09574182   12  109.46847196    7  -63.61295391    0
 C                 21    1.53133717   18  112.36924430   12  177.24888774    0
 H                 21    1.09703026   18  109.68946719   12  -61.12025577    0
 H                 21    1.09729776   18  109.24326164   12   55.39969468    0
 H                 24    1.09178867   21  111.10805048   18  179.79823172    0
 H                 24    1.09323755   21  111.08215903   18  -60.23501784    0
 H                 24    1.09375708   21  111.13297855   18   59.78378948    0
 C                  1            B1    3  178.99999509    2  -72.98467412    0
 S                 30    1.72416943    1   58.52894245    2            D2    0
 S                 30    1.72774347   31  122.85100226    1    1.94989600    0
 N                 30    1.38649628   31  118.69787900   32  179.88857349    0
 C                 33    1.46198199   30  122.51211282   32  176.69344464    0
 C                 33    1.46194880   30  122.67895299   34 -179.91918915    0
 H                 34    1.09727882   33  107.79539191   30 -147.02448390    0
 H                 34    1.08972480   33  108.19170344   30  -30.07257517    0
 C                 34    1.53221816   33  112.70644243   30   91.09689577    0
 H                 35    1.09729025   33  107.78009396   30 -147.24569440    0
 H                 35    1.08967434   33  108.19965873   30  -30.30969788    0
 C                 35    1.53224904   33  112.72406370   30   90.88083173    0
 H                 38    1.09170104   34  108.92193675   33  -62.10201645    0
 H                 38    1.09523444   34  111.32513550   33   57.95875345    0
 H                 38    1.09666295   34  110.72033274   33  178.37187932    0
 H                 41    1.09519819   35  111.31213651   33   57.80156920    0
 H                 41    1.09171890   35  108.94832172   33  -62.26011562    0
 H                 41    1.09664056   35  110.70985861   33  178.21143471    0

   B1             5.86611814

   A1            90.00000000	S	9	 -9.90000
   D1            90.00000000	S	9	-10.00000

   D2	  	-90.00000000

 1 2 1.5 3 2.0 6 1.0
 2 5 1.0 7 1.0
 3 4 1.5 8 1.0
 4 5 2.0 9 1.0
 5 10 1.0
 6
 7 11 1.0 12 1.0 13 1.0
 8 14 1.0 15 1.0 16 1.0
 9
 10
 11
 12
 13
 14 17 1.0 18 1.0 19 1.0
 15
 16
 17 20 1.0 21 1.0 22 1.0
 18
 19
 20 23 1.0 24 1.0 25 1.0
 21
 22
 23
 24
 25
 26 27 1.0 28 1.0 29 1.0
 27
 28
 29 30 1.0 31 1.0
 30 32 1.0 33 1.0 34 1.0
 31 35 1.0 36 1.0 37 1.0
 32
 33
 34 38 1.0 39 1.0 40 1.0
 35
 36
 37 41 1.0 42 1.0 43 1.0
 38
 39
 40
 41
 42
 43

4 – What can go wrong

Personally, I suggest to do multiple ‘little’ scans because in the scan fails the output will not be formatted by gaussview as a X, Y, Z table that is useful for further elaboration. For example, I have done eight scans but two have failed because the butyl chain causes to the script to do not converge. In my case I have tried to add the keyword in the route INT=ultrafine opt=(z-matrix, tight, maxcycles=250) but this does not solve my problem. I have tried to reduce the freedom of the molecule fixing the D2 angle but also that does not deserve to anything. The solution has been to unfreeze the butyl chain. A similar issue can happen also to you and for me the solution has been more conformational freedom, carefully given where needed.

5 – Further elaboration

After gain your data you have to plot them in a graph. Matlab is a big, heavy and powerful suite of mathematical elaboration scripts that is really useful to produce automatized procedures to output your data as a surface plot by the command surf(). If you would like to try to use this software suite I have added a an help page that should help you to plot your scans output.(link available soon) Otherwise you can use a simple plotting software but I think that matlab allows you to have a workspace extremely useful. For example it can produce derivatives of your data spotting out the minimum and maximum of your data.