Rep:Mod:alexferre
Alexandre Van Bronkhorst Ferreira's 2nd Year Molecular Modelling Wiki Page
Day 1
Borane
Calculation Method: B3LYP
Basis Set: 6-31G(d,p)
Summary Table:
Item Table:
Item Value Threshold Converged? Maximum Force 0.000011 0.000450 YES RMS Force 0.000005 0.000300 YES Maximum Displacement 0.000042 0.001800 YES RMS Displacement 0.000021 0.001200 YES
Log File:
Frequency Table:
Low frequencies --- -14.5183 -14.5142 -10.8197 -0.0006 0.0168 0.3454 Low frequencies --- 1162.9508 1213.1230 1213.1232
3D Image:
BH3 |
Vibration Data:
Vibration | Intensity | Symmetry | Type |
---|---|---|---|
1163 | Strong | Asymmetric | Bending |
1213 | Weak | Asymmetric | Bending |
1213 | Weak | Asymmetric | Bending |
2583 | Not Visible | Symmetric | Stretch |
2716 | Strong, Broad | Asymmetric | Stretch |
2716 | Strong, Broad | Asymmetric | Stretch |
Ng611 (talk) 14:59, 31 May 2018 (BST) You should also add the symmetry labels and the calculated intensity values to this table.
All vibrations are IR active with the exception of the vibration at 2583 cm^-1. This is a symmetric stretch and thus does not result in a change in dipole moment, making it IR inactive.
Computed IR Spectrum:
The IR spectrum shown above only has 3 visible peaks, despite BH3 having 6 different vibrational modes. the reason for this is that 2 of the vibrational modes (those at 1213 cm^-1 and 2716 cm^-1) are degenerate and thus appear as one peak on the spectrum, and additionally, one of the vibrational modes is not IR active, as explained above. This leaves 3 visible peaks on the IR spectrum.
MO Diagram of BH3:
The MOs computed by the LCAO method clearly resemble the MOs computed by Gaussian, indicating the LCAO theory is an accurate method of predicting MO geometry.
New Molecule
Calculation Method: Basis Set:
Summary Table
Item Table:
Log File:
Frequency Table:
3D Image:
Ammonia
Calculation Method: B3LYP Basis Set: 6-31G(d,p)
Summary Table:
Item Table:
Item Value Threshold Converged? Maximum Force 0.000132 0.000450 YES RMS Force 0.000069 0.000300 YES Maximum Displacement 0.000467 0.001800 YES RMS Displacement 0.000264 0.001200 YES Predicted change in Energy=-7.939154D-08 Optimization completed. -- Stationary point found.
Log File:
Frequency Table:
Low frequencies --- -0.0022 0.0010 0.0022 40.8897 40.8897 43.8905 Low frequencies --- 1089.0172 1694.0543 1694.0543
3D Image:
NH3 |
E=-56.55777 a.u.
Ammonia Borane
Calculation Method: B3LYP Basis Set: 6-31G(d,p)
Summary Table:
Item Table:
Item Value Threshold Converged? Maximum Force 0.000349 0.000450 YES RMS Force 0.000111 0.000300 YES Maximum Displacement 0.001345 0.001800 YES RMS Displacement 0.000449 0.001200 YES Predicted change in Energy=-5.208288D-07 Optimization completed. -- Stationary point found.
Log File:
Frequency Table:
Low frequencies --- -0.0273 -0.0066 -0.0053 10.0706 10.1187 37.8782 Low frequencies --- 265.3000 634.4256 639.2063
3D Image:
NH3BH3 |
E= -83.22469 a.u.
Ammonia Borane Energy Calculation
Energy of borane= -26.61532 a.u. = -69880 kJ/mol
Energy of ammonia= -56.55777 a.u. = -148490 kJ/mol
Energy of ammonia borane= -83.22469 a.u.= -218510 kJ/mol
According to equation: ΔE=E(NH3BH3)-[E(NH3)+E(BH3)]
ΔE= -0.05160 a.u.= -140 kJ/mol
This bond is fairly weak relative to typical covalent bonds. for instance, the N-H bonds found in the same molecule have a bond enthalpy of 391 kJ/mol.
Ng611 (talk) 15:03, 31 May 2018 (BST) Good final answer in a.u, but you've either converted to kJ/mol incorrectly or else have rounded to too low a degree of accuracy (nearest 10 kJ/mol when it should be to the nearest kJ/mol). Also, remember to cite your bond enthalpy values from a paper source ideally.
BBr3
Calculation Method: B3LYP Basis Set: Gen
Summary Table:
Item Table:
Item Value Threshold Converged? Maximum Force 0.000004 0.000450 YES RMS Force 0.000002 0.000300 YES Maximum Displacement 0.000019 0.001800 YES RMS Displacement 0.000010 0.001200 YES Predicted change in Energy=-1.213444D-10 Optimization completed. -- Stationary point found.
Log File:
Frequency Table:
Low frequencies --- -0.0140 -0.0064 -0.0046 2.3647 2.3647 4.8091 Low frequencies --- 155.9641 155.9661 267.7107
3D Image:
BBr3 |
DSpace Link:
Mini Project: Ionic Liquids
Tetramethyl Ammonium Ion
Calculation Method: B3LYP Basis Set: 6-31G (d,p)
Summary Table
Item Table:
Item Value Threshold Converged? Maximum Force 0.000030 0.000450 YES RMS Force 0.000016 0.000300 YES Maximum Displacement 0.000156 0.001800 YES RMS Displacement 0.000139 0.001200 YES Predicted change in Energy=-4.022200D-08 Optimization completed. -- Stationary point found.
Log File:
Frequency Table:
Low frequencies --- -0.0011 -0.0009 -0.0008 22.6527 22.6527 22.6527 Low frequencies --- 188.8314 292.7676 292.7676 Diagonal vibrational polarizability: 1.3985326 1.3985326 1.3985326
Tetramethyl Phosphonium ion
Calculation Method: B3LYP Basis Set: 6-31G (d,p)
Summary Table:
Item Table:
Item Value Threshold Converged? Maximum Force 0.000035 0.000450 YES RMS Force 0.000025 0.000300 YES Maximum Displacement 0.000475 0.001800 YES RMS Displacement 0.000414 0.001200 YES Predicted change in Energy=-1.975649D-07 Optimization completed. -- Stationary point found.
Log File:
Frequency Table:
Low frequencies --- 0.0021 0.0026 0.0034 26.4734 26.4734 26.4734 Low frequencies --- 161.3944 195.8117 195.8117 Diagonal vibrational polarizability: 3.5282861 3.5282861 3.5282861
Charge Comparison Between Tetramethyl Phosphonium (top) and Tetramethyl Ammonium (bottom)
The ammonium ion has a much smaller degree of charge distribution than the phosphonium ion. the central phosphorous in the phosphonium carries a large positive charge (+1.667), in contrast to the slight negative charge found on the ammonium's nitrogen atom (-0.295). The reason for this is that phosphorous is larger and has more diffuse orbitals, which therefore means the carbon atoms are more able to draw electron density away from the phosphorous. this would also explain why the carbon atoms in the phosphonium are more negatively charged than the carbon atoms in the ammonium (-1.060 vs. -0.483). In both cases the hydrogen atoms are positively charged to similar extents (0.269 and 0.298).
Charge on Tetramethyl Ammonium ion
The overall ion is positively charged.The charge distribution of nitrogen shows that the nitrogen atom of the ion is in fact slightly negatively charged (-0.295). The carbon atoms are the most negatively charged (-0.483 each) while the hydrogen atoms are the most positively charged (+0.269 each).
The reason the ion is depicted with the positive charge on nitrogen is because, when representing bonding with Lewis structures, the nitrogen atom uses its lone pair to form an additional bond with the fourth methyl group, formally acquiring a negative charge.
This picture is not an entirely accurate method of describing electron density across molecules. MO theory predicts that electrons are distributed about orbitals which span the entire molecule, not single atoms. This model of chemical bonding allows for the computationally predicted charge distribution.
Ng611 (talk) 15:08, 31 May 2018 (BST) Good charge analysis. I would also discuss some other features. For example: what is the summation of the partial charges (it may seem obvious, but it should be mentioned), are the charges the same for symmetrically related atoms, how different are the charges on the hydrogen atoms given the electronegativity differences of the two central atoms?
Selected MOs of the Tetramethyl Ammonium Ion
MO6:
MO10:
MO19 (also MO20 and MO21):
Ng611 (talk) 15:09, 31 May 2018 (BST) Good MO analysis and good overall report. A couple of your calculations were slightly off, but otherwise, this was a good, well-presented piece of work. Well done.