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NH3

Molecule: Ammonia

Calculation Method: RB3LYP

Basis Set: 6-31G(d.p.)

Final energy: -56.55776873 au

RMS Gradient: 0.00000485 au

Point Group: C3v

Optimised bond distance: 1.04 Å

Optimised bond angle: 106°


         Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000072     0.001800     YES
 RMS     Displacement     0.000035     0.001200     YES

NH3

The optimisation file is linked to here

Display Vibrations
Wavenumber cm-1 1090 1694 1694 3641 3590 3590
Symmetry A1 E E A1 E E
Intensity arbitrary units 145 14 14 1 0 0
Image
Vibrational mode type: Bending (Umbrella) Bending Bending Highly Symmetric Stretch Stretch Stretch

Expected modes of vibration:(3x4)-6=6

Degenerate modes: 1694&1694(cm-1), and 3590&3590(cm-1)

Spectrum bands: 4

Charges

Expected charges would be negative on nitrogen and positive on hydrogen as nitrogen is more electronegative than hydrogen so the electrons are pulled towards the nitrogen as greater effective nuclear charge.

H2

Molecule: Hydrogen

Calculation Method: RB3LYP

Basis Set: 6-31G(d.p.)

Final energy: -1.17853936 au

RMS Gradient: -0.00000017 au

Point Group: D∞h

Optimised bond distance: 0.74 Å

Optimised bond angle: -


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     0.000001     0.001200     YES

H2

The optimisation file is linked to here

Display Vibrations
Wavenumber cm-1 4466
Intensity arbitrary units 0
Image
Vibrational mode type: Symmetrical stretch

Charge distribution H2

Both atoms of equal electronegativity so no charge, perfectly covalent.


N2

Molecule: Nitrogen

Calculation Method: RB3LYP

Basis Set: 6-31G(d.p.)

Final energy: -109.52412868 au

RMS Gradient: 0.00000077 au

Point Group: D∞h

Optimised bond distance: 1.11 Å

         Item               Value     Threshold  Converged?
 Maximum Force            0.000001     0.000450     YES
 RMS     Force            0.000001     0.000300     YES
 Maximum Displacement     0.000000     0.001800     YES
 RMS     Displacement     0.000001     0.001200     YES

N2

The optimisation file is linked to here

Display Vibrations
Wavenumber cm-1 2457
Intensity arbitrary units 0
Image
Vibrational mode type: Symmetrical stretch

Charge distribution N2

Both atoms of equal electronegativity so no charge, perfectly covalent.

Mono-metallic TM complex that coordinating N2

TM complex that coordinates N2 - https://www.ccdc.cam.ac.uk/structures/Search?Ccdcid=BALWUG&DatabaseToSearch=Published

.[1]

This Mono-metallic TM complex that coordinates N2 (name:μ2-Dinitrogen)-bis(dicarbonyl-bis(trimethylphosphite)-iron) has the unique identifier BALWUG and has a bond length of 1.13Å which is longer than the optimised bond length of 1.11Å. This could be because the iron surrounding the nitrogen withdraws electron density as it is a transition metal, so this will weaken the bond and therefore lengthen it. Or that in the computer programme when optimised it is in the gaseous state whereas it may not be when calculated otherwise which could effect the bond length.

Energy of reaction of NH3

E(NH3)= -56.5577687 au

2*E(NH3)= -113.11554 au

E(N2)= -109.5241287 au

E(H2)= -1.1785394 au

3*E(H2)= -3.53562 au

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.05579 au (-146.47848 kj mol-1)

The energy change is negative and the ammonia product has lower energy than it's gaseous reactants so ammonia is therefore more stable than it's gaseous products.

CO

Molecule: Carbon Monoxide

Calculation Method: RB3LYP

Basis Set: 6-31G(d.p.)

Final energy: --113.30945314 au

RMS Gradient: 0.00001828 au

Point Group: C∞v

Optimised bond distance: 1.14 Å

Item               Value     Threshold  Converged?
 Maximum Force            0.000032     0.000450     YES
 RMS     Force            0.000032     0.000300     YES
 Maximum Displacement     0.000012     0.001800     YES
 RMS     Displacement     0.000018     0.001200     YES
CO

The optimisation file is linked to here

Display Vibrations
Wavenumber cm-1 2209
Intensity arbitrary units 0
Image
Vibrational mode type: Symmetrical stretch

Charge distribution of CO

As oxygen is more electronegative than carbon the electrons in the covalent bond will be closer to the oxygen, which is why the charge diagram agrees with what the charges should be. Negative on the oxygen and positive on the carbon.

Molecular orbitals

Display Vibrations
Orbital type cm-1 2π* σ
Energy au -0.02177 -0.37145 -0.46743 -0.46743 -19.25805
Image
Description: This is the LUMO, lowest unoccupied molecular orbital, this is an anti-bonding orbital. This is the HOMO, highest occupied molecular orbital, considerably lower in energy than the LUMO, this HOMO is a bonding orbital. The HOMO-LUMO gap determines the strength of interactions this energy gap for CO is -0.34968 au. This is a pi orbital of which there are two, both degenerate with the same energy, both bonding orbitals. This is the other pi orbital, of the same energy there are 2 electrons in each pi orbital they are both filled. This is the lowest lying filled orbital with a significantly lower energy. This is so much lower in energy as is formed from the 1s atomic orbitals which are much lower lying and more tightly held to the nucleus. This is not involved in bonding at all as you can see, as no overlap.

O2

Molecule: Oxygen

Calculation Method: RB3LYP

Basis Set: 6-31G(d.p.)

Final energy: -150.25742434 au

RMS Gradient: 0.00007502 au

Point Group: D∞h

Optimised bond distance: 1.22 Å


Item               Value     Threshold  Converged?
 Maximum Force            0.000130     0.000450     YES
 RMS     Force            0.000130     0.000300     YES
 Maximum Displacement     0.000080     0.001800     YES
 RMS     Displacement     0.000113     0.001200     YES

O2

The optimisation file is linked to here

Display Vibrations
Wavenumber cm-1 1643
Intensity arbitrary units 0
Image
Vibrational mode type: Symmetrical stretch

Charge distribution of O2

Both atoms of equal electronegativity so no charge, perfectly covalent.

  1. H.Berke, W.Bankhardt, G.Huttner, J.von Seyerl, L.Zsolnai, Chemische Berichte, 1981, 114, 2754, DOI: 10.1002/cber.19811140809 .

Marking

Note: All grades and comments are provisional and subject to change until your grades are officially returned via blackboard. Please do not contact anyone about anything to do with the marking of this lab until you have received your grade from blackboard.

Wiki structure and presentation 1/1

Is your wiki page clear and easy to follow, with consistent formatting?

YES

Do you effectively use tables, figures and subheadings to communicate your work?

YES - but you could have used subheadings more efficiently.

NH3 0.5/1

Have you completed the calculation and given a link to the file?

YES

Have you included summary and item tables in your wiki?

YES

Have you included a 3d jmol file or an image of the finished structure?

YES

Have you included the bond lengths and angles asked for?

YES

Have you included the “display vibrations” table?

YES

Have you added a table to your wiki listing the wavenumber and intensity of each vibration?

YES

Did you do the optional extra of adding images of the vibrations?

YES

Have you included answers to the questions about vibrations and charges in the lab script?

YES - You correctly stated two sets of degenerate modes which explains a spectrum with 4 bands. However, the stretching vibrations are too low in intensities to be observed in an experimental spectrum, so only 2 bands would be seen.

N2 and H2 0.5/0.5

Have you completed the calculations and included all relevant information? (summary, item table, structural information, jmol image, vibrations and charges)

YES

Crystal structure comparison 0.5/0.5

Have you included a link to a structure from the CCDC that includes a coordinated N2 or H2 molecule?

YES - You were asked to search for a monometallic TM complex but you stated a bimetallic one.

Have you compared your optimised bond distance to the crystal structure bond distance?

YES

Haber-Bosch reaction energy calculation 0.5/1

Have you correctly calculated the energies asked for? ΔE=2*E(NH3)-[E(N2)+3*E(H2)]

YES

Have you reported your answers to the correct number of decimal places?

NO - the energy in kJ/mol should only be reported to one decimal place!

Do your energies have the correct +/- sign?

YES

Have you answered the question, Identify which is more stable the gaseous reactants or the ammonia product?

YES

Your choice of small molecule 2/5

Have you completed the calculation and included all relevant information?

YES - but you missed to comment on the calculated vibrational mode at all.

Have you added information about MOs and charges on atoms?

You missed to comment on the occupancy of the orbitals and to explain the relative energies (e.g. number of nodes). You missed to include the contributing AOs except for the one lowest in energy. For some of the MOs you missed to describe their effect on bonding.

Independence 1/1

If you have finished everything else and have spare time in the lab you could: Check one of your results against the literature, or Do an extra calculation on another small molecule, or

YES - you could have eanalysed these results in more detail.

Do some deeper analysis on your results so far