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NH3

Summary of molecule

Molecular Name: Ammonia

Method: B3LYP

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

Point Group: C3v

Final Energy:-56.55776873 a.u.

RMS Gradient:0.00000485 a.u.

          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

Ammonia Molecule

The optimisation file is linked to File:AT6318 NH3 OPTF POP.LOG

Molecular Dimensions

N-H Bond Length= 1.02Å +/- 0.01Å

H-N-H Bond Angle= 106° +/- ≈ 1°

Molecular Vibrations

Display Vibrations
Wavenumber (cm-1) 1090 1694 1694 3461 3590 3590
Symmetry A1 E E A1 E E
Intensity (a.u) 145 14 14 1 0 0
Image
Type of Vibration Bending Stretching Bending Stretching Stretching Stretching

From the 3N-6 rule there are 6 modes expected as N=4. Both the 1694cm-1) and the 3590cm-1) modes are degenerate. The mode that is highly symmetric has the wavenumber of 3461cm-1), and the 1090cm-1) mode is known as the umbrella mode. Therefore on an experimental spectrum of ammonia only 2 bands are expected to be shown as the 3590cm-1) modes have intensities very close to zero and there are only two pairs of degenerate vibrations.

Charge Distribution

Charge on Nitrogen=-1.125

Charge on Hydrogen=0.375

The charge on the nitrogen is negative and on hydrogen is positive this is to be expected as nitrogen has a higher electronegativity than hydrogen.

N2

Summary of molecule

Molecular Name: Nitrogen

Method: RB3LYP

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

Point Group: D∞h

Final Energy:-109.52412868 a.u.

RMS Gradient:0.00000060 a.u.

           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     0.000000     0.001200     YES
Nitrogen Molecule

The optimisation file is linked to File:AT6318 N2 OPTF POP2.LOG

Molecular Dimensions

N≡N Bond Length= 1.09Å +/- 0.01Å

N≡N Bond Angle= N/A

Molecular Vibrations

Display Vibrations
Wavenumber (cm-1) 2457
Symmetry SGG
Intensity (a.u) 0
Image
Type of Vibration Stretching

Charge Distribution

Charge on Nitrogen=0

Both atoms in the molecule are nitrogen so the electrons in their bond are equally shared so therefore have no resultant charge.


H2

Summary of molecule

Molecular Name: Hydrogen

Method: RB3LYP

Basis Set: 6- 31G(D,P)

Point Group: D∞h

Final Energy: -1.17853936a.u.

RMS Gradient: 0.00000017a.u.

         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

Hydrogen Molecule

The optimisation file is linked to File:AT6318 H2 OPTF POP.LOG

Molecular Dimensions

H-H Bond Length= 0.74Å +/- 0.01Å

H-H Bond Angle= N/A

Molecular Vibrations


Display Vibrations
Wavenumber (cm-1) 4466
Symmetry SGG
Intensity (a.u) 0
Image
Type of Vibration Stretching

Charge Distribution

Charge on Hydrogen=0

Both atoms in the molecule are Hydrogen so the electrons in their bond are equally shared so therefore have no resultant charge.

Mono-Metallic TM Complex Coordinating H2

The molecule is linked to this page [1]


This mono-metallic TM complex coordinates H2. It's molecular name is (Dihydrogen)-(1,2-ethanediamine-N,N'-dimethyl-N,N'-bis(2-benzenethiolato))-(tricyclohexylphosphine)-ruthenium pentane solvate and it's unique identifier is BIDROW. The bond distance of H-H in the crystalline structure is 1.00Å (2dp) whereas the computation distance is 0.74Å therefore the bond distance in the crystalline structure is longer this could be because the Hydrogens are bonded to the Ru atom which is a transition metal and pulls electron density away from the H-H bond decreasing its bond strength and therefore lengthening it. The difference in bond lengths could also be down to the computational molecular optimisation which can differ from experimental values. Furthermore the bond distance of H-H bond measured through computational methods is of a gaseous molecule whereas H2 is in a solid state in the crystalline structure.

Haber-Bosch process

N2+ 3H2 → 2NH3

E(NH3)= -56.55776873 a.u.

2*E(NH3)= -113.1155375 a.u.

E(N2)= -109.52412868 a.u.

E(H2)= -1.17853936 a.u.

3*E(H2)= -3.53561808 a.u.

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.05579074 a.u.

ΔE=-146.8 kJmol-1

Therefore the ammonia product is more stable than the gaseous reactants as the forward reaction is exothermic as the energy for converting the hydrogen and nitrogen gas into ammonia gas is negative.

CO

Summary of molecule

Molecular Name: Carbon Monoxide

Method: RB3LYP

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

Point Group: C∞V

Final Energy: -113.30945314 a.u.

RMS Gradient:0.00001828a.u.

    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
Carbon Monoxide Molecule

The optimisation file is linked to File:CARBONMONOXIDEOPTIMISATIONAT6318.LOG

Molecular Dimensions

C≡O Bond Length 1.14Å +/- 0.01Å

Bond Angle=N/A

Molecular Vibrations

Display Vibrations
Wavenumber (cm-1) 2209
Symmetry SG
Intensity (a.u) 68
Image
Type of Vibration Stretching

Charge Distribution

Charge on Carbon=0.506

Charge on Oxygen=-0.506

This is because oxygen is more electronegative than carbon.


Molecular Orbitals

Molecular Orbitals
Type of Orbital 1σ* 1π*
Orbital Energy (a.u) -19.25805 -10.30433 -1.15791 -0.4673 -0.37145 -0.02177
Brief Description This is the lowest energy molecular orbital and is fully filled and is formed from the 1s atomic orbitals on Carbon and Oxygen, because both the antibonding and bonding molecular orbitals are filled this orbital isn't involved in bonding. This is the antibonding molecular orbital and is fully filled and is formed from the 1s atomic orbitals on Carbon and Oxygen, because both the antibonding and bonding molecular orbitals are filled this orbital isn't involved in bonding. This orbital is considerably higher in energy than the previous two and therefore the electrons are more easily accessed and is fully filled and is formed from the 2s atomic orbitals on both the Carbon and Oxygen, because both the antibonding and bonding molecular orbitals are filled this orbital isn't involved in bonding. This is one of two degenerate pi orbitals and is fully filled and is formed from the 2p atomic orbitals on Carbon and Oxygen, because the corresponding antibonding molecular orbital isn't filled this orbital is involved in bonding. This is the HOMO and is fully filled and is formed from the 2p atomic orbitals on Carbon and Oxygen, because the corresponding antibonding molecular orbital isn't filled this orbital is involved in bonding.. This is the LUMO and an antibonding orbital so therefore unoccupied and is formed from the 2p atomic orbitals on Carbon and Oxygen.
Image

Cl2

Summary of molecule

Molecular Name: Chlorine

Method: RB3LYP

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

Point Group: D∞H

Final Energy:-920.34987886 a.u.

RMS Gradient:0.00002510 a.u.

 Item               Value     Threshold  Converged?
 Maximum Force            0.000043     0.000450     YES
 RMS     Force            0.000043     0.000300     YES
 Maximum Displacement     0.000121     0.001800     YES
 RMS     Displacement     0.000172     0.001200     YES

Chlorine Molecule

The optimisation file is linked to File:AT6318CL2OPTIMISATION.LOG

Molecular Dimensions

Cl-Cl Bond Length 2.04Å +/- 0.01Å

Bond Angle=N/A

Molecular Vibrations

Display Vibrations
Wavenumber (cm-1) 520
Symmetry SGG
Intensity (a.u) 0
Image
Type of Vibration Stretching

Charge Distribution

Charge on Chlorine=0

Both atoms in the molecule are Chlorine so the electrons in their bond are equally shared so therefore have no resultant charge.

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

NH3 1/1

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

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

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

YES

Haber-Bosch reaction energy calculation 1/1

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?

YES

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 3/5

Have you completed the calculation and included all relevant information?

YES

Have you added information about MOs and charges on atoms?

YES

You could have explained the calculated vibrational mode. You could have been more specific regarding the contributing AOs. (eg. 2pz instead of 2p) You could have explained the energies of the MOs. The first two MOs are each based on one 1s orbital only. Mo1 is based on the O 1s and MO2 on C 1s. The first two MOs are non-bonding as there is no overlap with another AO. For MOs 4 and 5 you only state they are involved in bonding but you are not explaining in which way.


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

Do some deeper analysis on your results so far