Hamiltisla2

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Contents

Lab1 Marking

You have a very good working wiki. It would be good if you report values of wavenumber in your answers. Overall a very good attempt. If you have any specific questions, do email Prof. Hunt

NH3 Molecule

Calculation Data

Name of submitted log file hamiltisla_nh3_optf.log
Molecule NH3
Method RB3LYP
Basis set 6-31G(d,p)
Final energy -56.557769
RMS gradient 0.000000
Point group C3v

Logfile: Media:HAMILTISLA_NH3_OPTF_POP.LOG

Convergence Confirmation

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000000     0.000015     YES
 RMS     Force            0.000000     0.000010     YES
 Maximum Displacement     0.000003     0.000060     YES
 RMS     Displacement     0.000001     0.000040     YES

Low Frequency Analysis

Confirmation that the stable minimum was reached during optimisation is seen as: -20 < low frequency row 1 < 20

Low frequencies ---   -5.6864   -3.6131   -3.6124    0.0017    0.0048    0.0162
Low frequencies --- 1089.3674 1693.9284 1693.9284

Optimised NH₃ Molecule Image

Hamiltisla NH3 optimised.PNG

3D Rotateable NH₃ Molecule

Optimised NH₃ Molecule

Important Geometric Parameters

Optimised bond distance for NH3
r(N-H)= 1.02Â
Optimised bond angle for NH3
θ(H-N-H)= 106°

Vibrational Analysis

Vibrations Table

Mode 1 2 3 4 5 6
Wavenumber (cm-1) 1089 1694 1694 3461 3590 3590
Symmetry A1 E E A1 E E
Intensity (arbitrary units) 145 14 14 1 0 0

IR Spectrum of optimised NH3

Hamiltisla nh3 opt IRspectrum.PNG

Charge Analysis

Charge distribution of Nh3
Hamiltisla nh3 charge distributions.PNG
Hamiltisla nh3 colourrange.PNG

Atom Charge
N -1.13
H 0.38

Project Molecule: N2F2

Calculation Data

Name of submitted log file hamiltisla_n2f2_optimisation.log
Molecule N2F2
Method RB3LYP
Basis set 6-31G(d,p)
Final energy -309.012413
RMS gradient 0.000000
Point group C2v


Logfile: Media:HAMILTISLA N2F2 OPTIMISATION.LOG

Convergence Confirmation

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000001     0.000015     YES
 RMS     Force            0.000000     0.000010     YES
 Maximum Displacement     0.000001     0.000060     YES
 RMS     Displacement     0.000001     0.000040     YES

Low Frequency Analysis

Confirmation that the stable minimum was reached during optimisation is seen as: -20 < low frequency row 1 < 20

Low frequencies ---    0.0005    0.0005    0.0013    3.2233    4.3533    5.0998
Low frequencies ---  347.8772  561.2472  771.6105

Optimised N2F2 Molecule Image

Hamiltisla n2f2 optimsation image.PNG
The molecule from the log file did not have bonds between the F and N atoms due to the bond distance of 1.40Â exceeding the bond distance limit Gauss view will draw bonds for. Thus in the above image the N-F bonds were added using the modify bond tool, and the bond distance was not changed (consistent with the optimised value).

3D Rotateable N2F2 Molecule

Optimised N₂F₂ Molecule

Important Geometric Parameters

Optimised bond distances for N2F2
r(N-F)= 1.40Â
r(N=N)= 1.22Â

Optimised bond angles for N2F2
θ(F-N-F)= 114°
Dihedral angle θ(F-N=N-F)= 0°

Vibrational Analysis

Vibrations Table

Mode 1 2 3 4 5 6
Wavenumber (cm-1) 348 561 772 949 987 1637
Symmetry A1 A2 B2 A1 B2 A1
Intensity (arbitrary units) 1 0 75 75 81 21

IR spectrum of optimised N2F2

Hamiltisla n2f2 IRspectrum.PNG

Vibrational Analysis Questions

How many vibrations are expected from the 3N-6 rule?

  • N=4, thus from the 3N-6 rule, 3(4)-6=12-6=6, thus 6 vibrational modes are expected. It can be seen that 6 vibrational modes are indeed found.

Why are there only 4 peaks in the IR spectrum?

  • Vibrational modes 1 & 2 do not have peaks corresponding to them in the IR spectrum, as they have essentially zero intensity of their vibrational modes due to nearly no net dipole moment. Vibrational modes 3,4,5 and 6 are represented by the 4 peaks in the spectrum.

Which vibration is the asymmetric N-F stretch?

  • The vibration that is the asymmetric N-F stretch is mode 3 in the table. Mode 3 has wavenumber 772 cm-1, and intensity 75.

What is the nature of the highest energy vibration?

  • The highest energy vibrational mode is mode 6, the N=N bond stretching mode. It has wavenumber 1637 cm-1, and intensity 21.

Charge Analysis

Charge Distribution of N2F2
Hamiltisla n2f2 charge distribution.PNG
Hamiltisla n2f2 colourrange.PNG

Atom Charge
N 0.22
F -0.22

Molecular Orbital Analysis

Which MOs are core orbital MOs?

  • The core MOs are MOs 1, 2, 3, and 4.

Molecular Orbital 9 of N2F2
Hamiltisla n2f2 onlyMO9.PNG

LCAO of Molecular Orbital 9 of N2F2
Hamiltisla N2F2 MO9 LCAO.jpeg

Molecular orbital 9 of cis N2F2 is the in phase linear combination of pz orbitals of the N and F atoms

BH3 Molecule

Calculation Data

Name of submitted log file hamiltisla_bh3_optimisation.log
Molecule BH3
Method RB3LYP
Basis set 6-31G(d,p)
Final energy -26.615324 Hartree
RMS gradient 0.000002
Point group D3h

Logfile: Media:HAMILTISLA BH3 OPTIMISATION.LOG

Optimisation Confirmation

Item Table

        Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000015     YES
 RMS     Force            0.000003     0.000010     YES
 Maximum Displacement     0.000017     0.000060     YES
 RMS     Displacement     0.000011     0.000040     YES

Low Frequency Analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -20 < low frequency row 1 < 20

Low frequencies (cm^-1)---  -12  -12   -7    0    0   0
Low frequencies (cm^-1)--- 1160 1210 1210

Optimised BH3 Molecule image and Jmol

3D Rotatable BH₃ Molecule

Optimised BH₃ Molecule Image
Hamilltisla bh3 optimisation.png

Important Geometric Parameters

Optimised bond distance for BH3
r(B-H)= 1.19Å
Optimised bond angle for BH3
θ(H-B-H)= 120°

Vibrational Analysis

Vibrations Table
Mode 1 2 3 4 5 6
Wavenumber (cm-1) 1163 1213 1213 2583 2716 2716
Symmetry A2' ' E' E' A1' E' E'
Intensity (arbitrary units) 93 14 14 0 126 126

IR Spectrum of optimised BH3

Hamiltisla bh3 ir spectrum.PNG
3 peaks are seen in this spectrum consistent with the modes 2 and 3 having identical wavenumber (1213 cm^-1), modes 5 and 6 having identical wavenumber (2716 cm^-1) and mode 1 having wavenumber 1163 cm^-1. Mode 4 has intensity of 0, thus does not show a peak in the IR spectrum.

NH3BH3 Molecule

Calculation Data

Name of submitted log file hamiltisla_nh3bh3_optimisation.log
Molecule NH3BH3
Method RB3LYP
Basis set 6-31G(d,p)
Final energy -83.224689 Hartree
RMS gradient 0.000001
Point group C1

Logfile: Media:HAMILTISLA NH3BH3 OPTIMISATION.LOG

Optimisation Confirmation

Item Table

 Item               Value     Threshold  Converged?
 Maximum Force            0.000001     0.000015     YES
 RMS     Force            0.000001     0.000010     YES
 Maximum Displacement     0.000043     0.000060     YES
 RMS     Displacement     0.000019     0.000040     YES

Low Frequency Analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -20 < low frequency row 1 < 20

Low frequencies (cm^-1)---   -5   -3   0   0   0   1
Low frequencies (cm^-1)---  263  633  638

Optimised NH3 Molecule image and Jmol

3D Rotateable NH₃BH₃ Molecule

Optimised NH₃BH₃ Molecule Image
Hamiltisla nh3bh3 optimisation.png

Important Geometric Parameters

Optimised bond distance for NH3BH3
r(N-B)= 1.67Å
r(B-H)= 1.21Å
r(N-H)= 1.02Å
Optimised bond angle for NH3BH3
θ(H-B-H)= 114°
θ(H-N-H)= 108°
θ(H-B-N)= 105°
θ(H-N-B)= 111°

Vibrational Analysis

Vibrations Table
Mode 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Wavenumber (cm-1) 263 633 638 638 1069 1069 1196 1204 1204 1329 1676 1676 2472 2532 2532 3464 3581 3581
Symmetry A A A A A A A A A A A A A A A A A A
Intensity (arbitrary units) 0 14 4 4 41 41 109 3 3 114 28 28 67 231 231 3 28 28

IR Spectrum of optimised NH3BH3

Hamiltisla nh3bh3 irspectrum.PNG
8 peaks are seen in the IR spectrum of NH3BH3, consistent with modes 1, 3, 4, 8, 9, and 16 having intensities too low to be seen on the spectrum. The peaks correspond to mode 2 (633 cm^-1), modes 5 and 6 (1069 cm^-1), mode 7 (1196 cm^-1), mode 10 (1329 cm^-1), modes 11 and 12 (1676 cm^-1), mode 13 (2472 cm^-1), modes 14 and 15 (2532 cm^-1), and modes 17 and 18 (3581 cm^-1).

Association Energy

E(NH3)= -56.557769 au
E(BH3)= -26.615324 au
E(NH3BH3)= -83.224689 au

Association Energy:
ΔE = E(NH3BH3) - [E(NH3) + E(BH3)]
=> ΔE= -83.224689 - [ -56.557769 - 26.615324] = -0.0516 au (3sf)
=> ΔE= -136 kJ/mol

This association energy shows the stabilisation that occurs when NH3 and BH3 form the adduct NH3BH3. The negative value of ΔE (−136 kJ/mol) indicates that formation of the adduct is energetically favourable relative to the separated fragments, meaning the bonded system is more stable than NH3 and BH3 alone.

Me3NH-Cl Molecule

Calculation Data

Name of submitted log file hamiltisla_Me3NHCl_optimisation.log
Molecule Me3NH-Cl
Method RB3LYP
Basis set 3-21G
Final energy -632.162083 Hartree
RMS gradient 0.000016
Point group C1

Logfile: Media:HAMILTISLA ME3NHCL OPTIMISATION.LOG

Optimisation Confirmation

Frequency Item Table

          Item               Value     Threshold  Converged?
 Maximum Force            0.000043     0.000450     YES
 RMS     Force            0.000010     0.000300     YES
 Maximum Displacement     0.001476     0.001800     YES
 RMS     Displacement     0.000355     0.001200     YES

Low Frequency Analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -10 < low frequency row 1 < 10

Low frequencies (cm^-1)---   -5   0    0    0   3   9
Low frequencies (cm^-1)---   55  57  190

Optimised Me₃NH-Cl Molecule image and Jmol

3D Rotateable Me₃NH-Cl Molecule

Optimised Me₃NH-Cl Molecule Image
Hamiltisla Me3NHCl optimisation.png

Optimised bond distances for Me3NH-Cl

r(N-H)= 1.16Å
r(H-Cl)= 1.74Å
r(N-Cl)= 2.90Å

Scan of Total Energy

Rigid Scan log file: File:HAMILTISLA ME3NHCL RIGIDSCAN THURS7.LOG

Processed PES plot of Me₃NH-Cl
Chem307 Me3NHCl rigidscan thurs.png

The scanned coordinate corresponds to the N–H bond length, starting at 0.8 Å and increasing in 0.1 Å increments up to 2.1 Å. This tracks the gradual shift of the proton between the ionic ion-pair (Me3NH+ - - Cl-) and a neutralised form (Me3N - - HCl). The PES shows that, for the scan with N–Cl distance fixed at 3.2 Å, the most stable configuration corresponds to the ion-pair form (Me3NH+ - - Cl-), with a clear energy minimum in this region.

At longer N–H distances, a broad shelf is observed rather than a distinct second minimum, indicating that proton transfer towards a neutral Me3N - - HCl pair is not energetically favoured. As the proton is moved towards chloride, the energy increases smoothly, consistent with a gradual loss of stabilising ion-pair interactions rather than formation of a different stable structure.

Raw PES data table

Scan Coordinate (Å) Total Energy (Hartree) Relative Total Energy (kJ/mol)
0.8 -632.0662556 229.9
0.9 -632.122424 82.4
1.0 -632.1460522 20.4
1.1 -632.1535102 0.8
1.2 -632.1538035 0
1.3 -632.1515778 5.8
1.4 -632.1490207 12.6
1.5 -632.1470189 17.8
1.6 -632.1457428 21.2
1.7 -632.1447861 23.7
1.8 -632.1429362 28.5
1.9 -632.1375943 42.6
2.0 -632.1238571 78.6
2.1 -632.093225 159.0

Ionic liquid pair 1-methyl-imidazolium chloride (HMim-Cl)

Molecule a)

Log File: File:IH IONPAIR A OPTIMISATION.LOG

Calculation Data

Name of submitted log file IH_ionpair_a_optimisation.log
Molecule HMim-Cl
Method RB3LYP
Basis set 3-21G
Final energy -722.687898
RMS gradient 0.000028
Point group C1

Frequency Item table

  Item               Value     Threshold  Converged?
 Maximum Force            0.000053     0.000450     YES
 RMS     Force            0.000018     0.000300     YES
 Maximum Displacement     0.001533     0.001800     YES
 RMS     Displacement     0.000443     0.001200     YES

Low Frequency analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -10 < low frequency row 1 < 10

Low frequencies (cm^-1)---   -4   -1   0   0    0    3
Low frequencies (cm^-1)---   36   64   80 

Important Geometric Parameters
Atom relevant to bond is indicated by number 1-14 in labeled diagram below
[7-14] r(H-Cl) = 1.72Å;
[9-7] r(N-H) = 1.18Å
[1-4] r(C-H) = 1.0 MISSING DECIMAL PLACE Å
[3-6] r(C-H) = 1.07Å

IH ionpair a labeledforbondlengths.PNG

HMim-Cl Molecule a Energy Scan

N-H Rigid scan of molecule a log file: File:IH IONPAIR A RIGIDSCAN THURS7.LOG

Gaussview raw Potential Energy Surface plot of HMim-Cl molecule a

IH ionpair a rigidscan raw thurs7picture.PNG

Processed Potential Energy Surface of HMim-Cl molecule a) rigid scan
Chem307 ionpair a rigidscan thurs.png

This rigid scan shows how the energy of HMim–Cl changes as the N–H distance is varied from 0.8Å to 2.1Å, while the N–Cl distance is fixed at 3.2Å. The lowest energy occurs at 1.1Å, which corresponds to the most stable N–H - - Cl interaction is the equilibrium for the ion pair along this coordinate.

At shorter distances (<1.0Å), the energy rises steeply due to strong repulsion between the nuclei as they are forced too close together. At longer distances (>1.2Å), the energy increases more gradually as the N–H - - Cl interaction weakens and the system moves towards dissociation.

Raw Data of rigid energy scan of HMim-Cl Molecule a

Scan Coordinate (Å) Total Energy (Hartree) Relative Total Energy (kJ/mol)
0.8 -722.595816 219.4
0.9 -722.6504012 76.1
1.0 -722.6727673 17.3
1.1 -722.6793742 0
1.2 -722.6792901 0.2
1.3 -722.6772109 5.7
1.4 -722.675321 10.6
1.5 -722.6744387 13.0
1.6 -722.6746233 12.5
1.7 -722.6753492 10.6
1.8 -722.6753453 10.6
1.9 -722.672138 19.0
2.0 -722.6613138 47.4
2.1 -722.6354852 115.2

Molecule b)

Log File: File:IH IONPAIR B OPTIMISATION.LOG

Calculation Data

Name of submitted log file IH_ionpair_b_optimisation.log
Molecule HMim-Cl
Method RB3LYP
Basis set 3-21G
Final energy -722.666200 Hartree
RMS gradient 0.000018
Point group C1

Frequency Item table

 Item               Value     Threshold  Converged?
 Maximum Force            0.000192     0.000450     YES
 RMS     Force            0.000040     0.000300     YES
 Maximum Displacement     0.001419     0.001800     YES
 RMS     Displacement     0.000215     0.001200     YES

Low Frequency analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -10 < low frequency row 1 < 10

Low frequencies (cm^-1)---   -6   -4   -2   0   0   0
Low frequencies (cm^-1)---   45  162  199

Important Geometric Parameters
Atom relevant to bond is indicated by number 1-14 in labeled diagram below
[4-15] r(H-Cl) = 2.13Å
[12-14] r(H-Cl) = 2.28Å
[2-5] r(C-H) = 1.10Å
[10-12] r(C-H) = 1.11Å

Ih ionpair b labeledforbondlengths.PNG

Molecule c)

Log File: File:IH IONPAIR C OPTIMISATION.LOG

Calculation Data

Name of submitted log file IH_ionpair_c_optimisation.log
Molecule HMim-Cl
Method RB3LYP
Basis set 3-21G
Final energy -761.779525
RMS gradient 0.000014
Point group C1

Frequency Item table

  Item               Value     Threshold  Converged?
 Maximum Force            0.000050     0.000450     YES
 RMS     Force            0.000009     0.000300     YES
 Maximum Displacement     0.001308     0.001800     YES
 RMS     Displacement     0.000306     0.001200     YES

Low Frequency analysis
Confirmation that the stable minimum was reached during optimisation is seen as: -10 < low frequency row 1 < 10

Low frequencies (cm^-1)---   -4   -3   0   0   0    2
Low frequencies (cm^-1)---   52  103  107

Important Geometric Parameters
Atom relevant to bond is indicated by number 1-17 in labeled diagram below
[4-17] r(H-Cl) = 2.03Å
[16-17] r(H-Cl) = 2.42Å
[1-4] r(C-H) = 1.12Å
[13-16] r(C-H) = 1.10Å
[3-5] r(C-H) = 1.07Å
[9-12] r(C-H) = 1.09Å

IH ionpair c labeledforbondlengths.PNG

Ionic Liquid Analysis

Bond Length Comparison Table

Ion Pair Molecule H-Cl bond length (Å) H-Cl bond length additional (Å)
HMim-Cl a 1.72
HMim-Cl b 2.13 [Cis alkene H to Cl] 2.28 [Methyl H to Cl]
HMim-Cl c 2.03
Me3NH-Cl 1.74

How do the H-Cl bonds of Me3NH and HMim compare and how do the H-bonds of the N-H and C-H H-bonds compare?

  • The H-Cl bonding in both Me3NH–Cl [1.74 Å] and HMim–Cl molecule a [1.72 Å] is quite strong, with very similar H-Cl distances (Difference of 0.02 Å). In both of these cases the proton involved is attached to a nitrogen, producing a highly polarised N–H bond that strongly attracts the chloride. The other HMim–Cl molecules, b and c, show longer H-Cl distances than those of molecule a and Me3NH–Cl. Molecule b has a 2.13 Å bond from its cis alkene proton to the chloride and a 2.28 Å bond from the methyl protons to the chloride. Molecule c has a 2.03 Å bond from its CH proton to the chloride. These longer distances correspond to weaker hydrogen bonding interactions in the molecules. In structures b and c the chloride interacts with C-H protons rather than N-H protons. Since C–H bonds are less polarised than N–H bonds due to the greater electronegativity difference for N-H bonds than C-H bonds, the hydrogen atoms carry a smaller partial positive charge in C-H bonds and therefore form weaker hydrogen bonds with chloride.

Are these distances representative of a H-bond?

  • Van der Waals radius of Cl = 1.75 Å
  • Van der Waals radius of H = 1.20 Å
  • Sum of the Van der Waals radii of H and Cl = 1.75 + 1.20 = 2.95 Å
  • All the observed H-Cl distances for the studied ion pairs are shorter than 2.95 Å. Distances shorter than the sum of the van der Waals radii indicates attractive interactions that are stronger than simple intermolecular interactions thus this consistent with the hydrogen bonding seen in the studied ion pairs. The much shorter distances for Me3NH–Cl [1.21 Å shorter] and HMim–Cl molecule a [1.73 Å shorter] are consistent with partially ionic hydrogen bonds.

Will the ionic nature of the ions effect a distance based assessment of H-bonding?

  • Yes the ionic nature of the ions will effect a bond distance based assessment. In the ion pairs the positive and negative ions attract each other, which can shorten the H-Cl bond distance. This implies that bond distance alone shouldn't be used to assess the strength of the H-bonding.

Association Energy Comparison of HMim–Cl isomers

Molecule a and b cation HMim+
Cation cluster of a and b are the same, therefore using the same optimisation of HMim+ in 3-21G basis set:

Log file: File:IH A B CATION CLUSTER OPTIMISATIN.LOG

Optimised HMim+ Molecule a and b cation

Calculation Table

Name of submitted log file IH_a_b_cation_cluster_optimisation.log
Molecule Hmim+
Method UB3LYP
Basis set 3-21G
Final energy -264.589131 au
RMS gradient 0.000011
Point group C1

Frequency Item Table

  Item               Value     Threshold  Converged?
 Maximum Force            0.000030     0.000450     YES
 RMS     Force            0.000006     0.000300     YES
 Maximum Displacement     0.001212     0.001800     YES
 RMS     Displacement     0.000357     0.001200     YES

Low Frequency Analyis

Low frequencies ---   -5   -4   0   0   0    4
Low frequencies ---   91  155  336


Molecule 3 cation cluster Hmim+ with extra methyl Log file: File:IH A B CATION CLUSTER OPTIMISATIN.LOG

Optimised HMim+ Molecule c cation

Calculation Table

Name of submitted log file IH_c_cation_optimisation.log
Molecule Hmim+
Method UB3LYP
Basis set 3-21G
Final energy -303.687395 au
RMS gradient 0.000006
Point group C1

Frequency Item Table

  Item               Value     Threshold  Converged?
 Maximum Force            0.000014     0.000450     YES
 RMS     Force            0.000003     0.000300     YES
 Maximum Displacement     0.000247     0.001800     YES
 RMS     Displacement     0.000076     0.001200     YES

Low Frequency Analysis

Low frequencies ---   -4   0    0    0   3   4
Low frequencies ---   83   98  147

Chlorine anion optimisation
Logfile: File:IH CHLORINE ANION OPTIMISATION.LOG

Name of submitted log file IH CHLORINE ANION OPTIMISATION.LOG
Molecule Cl-
Method UB3LYP
Basis set 3-21G
Final energy -457.945733 au
RMS gradient 0.000000
Point group C1

Frequency Item Table

 Item               Value     Threshold  Converged?
 Maximum Force            0.000000     0.000450     YES
 RMS     Force            0.000000     0.000300     YES
 Maximum Displacement     0.000000     0.001800     YES
 RMS     Displacement     0.000000     0.001200     YES

Frequency Analysis table

Low frequencies ---    0    0   0
Optimised HMim+ Molecule c cation

Association Energy Table ΔE = E(Products) - [E(Reactants)] = E(Ion pair) - [E(Cation) + E(Anion)]

HMim–Cl isomer Total Energy (au) Association Energy ΔE (au) Association Energy ΔE (kJ/mol)
a) -722.687898 -0.153034 -402
b) -722.666200 -0.131336 -345
c) -761.779525 -0.146397 -384

Relative Energy between HMim–Cl isomers a) and b)

  • ΔE = Eb - Ea = (-722.666200) - (-722.687898) = 0.021698 au or 56.97 kJ/mol (4sf)
  • Therefore, isomer b is 57 kJ/mol higher in energy than isomer a.
  • This indicates that isomer a is more stable and lower in energy than isomer b. This is consistent with isomer a forming a strong N–H-Cl hydrogen bond with a short H-Cl distance of 1.72 Å. The N–H bond is highly polarised, so the hydrogen carries a partial positive charge and interacts strongly with the chloride anion. In comparison isomer b forms weaker C–H-Cl interactions with longer H-Cl distances of 2.13 Å and 2.28 Å. The C–H bonds in b are less polarised than the N–H bond in a, resulting in weaker electrostatic attraction to chloride and therefore less stabilisation. As a result, isomer b is higher in energy than isomer a.

Discuss the dissociation energy of (c) relative to (a) and (b). What does the comparison tell us about the H-bonding?

Chemical diagram of the two protonation states for HMim-Cl

Screenshot 2026-05-08 at 5.42.09 PM.png

HMim-Cl and Me3NH-Cl PES Comparison

MeNH-Cl and HMim-Cl PES plot
IH combined rigidscan.png
Both the HMim–Cl and Me3NH–Cl PES plots show a clear minimum around 1.1–1.2 Å, which corresponds to the lowest energy and therefore most stable N–H-Cl hydrogen bond interaction. In both cases, the energy rises sharply at distances shorter than 1.1 Å due to strong repulsion when the nuclei are forced too close together, and increases more gradually at distances longer than 1.2 Å as the N–H interaction with chloride is reduced and the system moves towards dissociation.

The overall shapes of the two curves are very similar, but HMim–Cl shows a slightly deeper and broader minimum compared to Me3NH–Cl. This suggests that HMim–Cl is more stabilised and less sensitive to small changes in N–H distance near the scan coordinate equilibrium than Me3NH-Cl. This difference is also reflected at the extremes of the scan. Me3NH–Cl is higher in energy at both short (0.8 Å) and long (2.1 Å) N–H distances, and its energy increases more steeply after 1.2 Å, indicating a less stabilised interaction when the hydrogen bond is stretched.

One possible reason for these differences in the PES of the ion pairs is the difference in electronic structure of their respective cations. In HMim-Cl, the positive charge is delocalised over the imidazolium ring, which may increase the polarisation of the N–H bond compared to the more localised charge in Me3NH–Cl. This may leads to HMin-Cl having a stronger interaction with chloride than Me3NH-Cl.