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NH3

Molecule Information

Molecular name: Ammonia

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Final Energy:-56.55776873 au

Point Group: C3V

N-H bond distance:1.02Å

H-N-H bond angle:37°

Item Table

       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

Jmol of NH3

Ammonia

link

File:QUANWENT NH3 OPTF POP.LOG

NH3 Vibrations

Vibrations modes of Ammonia
Wavenumber cm-1 1090 1694 1694 3461 3590 3590
Symmetry A1 E E A1 E E
Intensity arbitrary units 145 14 14 1 0 0
Image

Answer of Questions

how many modes do you expect from the 3N-6 rule?

- 3 x 4 - 6 = 6 modes

which modes are degenerate (ie have the same energy)?

- Modes with wavenumbers of 1694 cm^-1 and 3590 cm^-1.

which modes are "bending" vibrations and which are "bond stretch" vibrations?

- Modes with the wavenumber of 1090 cm^-1 and 1694 cm^-1 are "bending" vibrations,modes with the wavenumber of 3461 cm^-1 and 3590 cm^-1 are "bond stretch" vibrations.

which mode is highly symmetric?

- Mode with the wavenumber of 3461 cm^-1.

one mode is known as the "umbrella" mode, which one is this?

- Mode with the wavenumber of 1090 cm^-1.

how many bands would you expect to see in an experimental spectrum of gaseous ammonia?

- Two bands. Because degenerate modes show one band.And the mode with the wavenumber of 3461 cm^-1 has intensity 1.

Charge Analysis

In expectation, N is more electronegative than H and should have negative charge,H should have positive charge. The results show that the charge is -1.125 on N and 0.375 on H.

N2

Molecule Information

Molecular name: Nitrogen

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Final Energy: -109.52412868 au

Point Group: D*H

N-N bond distance:1.11Å

N-N bond angle:180°

Item Table

Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000001     0.001800     YES
 RMS     Displacement     0.000002     0.001200     YES

Jmol of N2

N2

Link

File:QUANWENT N2 OPT.LOG

N2 Vibrations

Vibration mode of N2

Vibration mode
Wavenumber cm^-1 2457
Symmetry SGG
Intensity Arbitrary Units 0
Image

Charge Analysis

In expectation, the charge on both N should be zero since there is no resultant dipole moment. The results show that the charge is on both N is 0.

H2

Molecule Information

Molecular name: Hydrogen

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Final Energy: -1.17853936 au

Point Group: D*H

H-H bond distance:0.74Å

H-H bond angle:180°

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     0.000001     0.001200     YES


Jmol of H2

H2

Link

File:QUANWEN H2 OPT.LOG

H2 Vibrations

Vibration mode of H2

Vibration mode
Wavenumber cm^-1 4466
Symmetry SGG
Intensity Arbitrary Units 0
Image

Charge Analysis

In expectation, the charge on both H should be zero since there is no resultant dipole moment. The results show that the charge is on both H is 0.

Structure and Reactivity

mono-metallic TM complex DEKFUX

Link to the complex:[1]

There is one N-N triple bond in the complex. The bong length of this triple bod is 1.086. The N-N triple bond length in Nitrogen gas is 1.10550 which is slightly longer. I think the reason that causes the difference in bond length is that the bond length calculated for Nitrogen gas is under perfect condition whereas there are other factors influencing the value in reality. The transition metal attached in crystal structure help to stabilize the N-N triple bond. So the bong length in crystal structure is shorter.

Energy for Reaction

E(NH3)= -56.557769 au

2*E(NH3)= -113.115538 au

E(N2)= -109.5241287 au

E(H2)= -1.1785394 au

3*E(H2)= -3.5356180 au

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.0557907 au = -146.8 kJ/mol

The ammonia product is more stable since the change in energy is negative.

CO2

Molecule Information

Molecular name: Carbon dioxide

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Final Energy: -188.58093945 au

Point Group: D*H

C-O bond distance:1.17Å

C-O bond angle:180°

Item Table

Item               Value     Threshold  Converged?
 Maximum Force            0.000024     0.000450     YES
 RMS     Force            0.000017     0.000300     YES
 Maximum Displacement     0.000021     0.001800     YES
 RMS     Displacement     0.000015     0.001200     YES

Jmol of CO2

CO2

Link

File:QUANWEN CO2 OPT.LOG

CO2 Vibrations

Vibration mode of CO2

Vibrations modes of Carbon dioxide
Wavenumber cm-1 640 640 1372 2436
Symmetry PIU PIU SGG SGU
Intensity arbitrary units 31 31 0 546
Image

Answer of Questions

how many modes do you expect from the 3N-5 rule?

- 3 x 4 - 6 = 4 modes

which modes are degenerate (ie have the same energy)?

- Modes with wavenumbers of 640 cm^-1.

which modes are "bending" vibrations and which are "bond stretch" vibrations?

- Modes with the wavenumber of 640 cm^-1 are "bending" vibrations,modes with the wavenumber of 1372 cm^-1 and 2436 cm^-1 are "bond stretch" vibrations.

which mode is highly symmetric?

- Mode with the wavenumber of 1372 cm^-1.

how many bands would you expect to see?

- Two bands. Because degenerate modes show one band.And the mode with the wavenumber of 1372 cm^-1 has intensity 0.

Charge Analysis

Charge on C: 1.022

Charge on O: -0.511

In expectation, the charge on O should be negative since O is more electronegative than C.

Molecular Orbitals

Molecular orbital 12

-AOs contribute to the MO: 2p(C) 2p(O) 2p(O)

-Antibonding or bonding: Anitibonding

-Energy: 0.02992 au (LUMO)

-Occupied or unoccupied: Unoccupied


Molecular orbital 11

-AOs contribute to the MO: 2p(O) 2p(O)

-Antibonding or bonding: Antibonding

-Energy: -0.36997 au (HOMO)

-Occupied or unoccupied: Occupied


Molecular orbital 8

-AOs contribute to the MO: 2p(C) 2p(O) 2p(O)

-Antibonding or bonding: Bonding

-Energy: -0.51277 au

-Occupied or unoccupied: Occupied


Molecular orbital 4

-AOs contribute to the MO: 2s(O) 2s(O)

-Antibonding or bonding: Bonding

-Energy: -1.16099 au (deep in energy)

-Occupied or unoccupied: Occupied


Molecular orbital 7

-AOs contribute to the MO: 2p(C) 2p(O) 2p(O)

-Antibonding or bonding: Antibonding

-Energy: -0.51655 au

-Occupied or unoccupied: Occupied


Extra: CO

Molecule Information

Molecular name: Carbon monoxide

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Final Energy: -113.30945314 au

Point Group: C*V

C-O bond distance:1.14Å

C-O bond angle:180°

Item Table

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

Jmol of CO

CO

Link

File:QUANWEN CO OPT.LOG

CO Vibrations

Vibration mode of CO

Vibrations mode of Carbon monoxide
Wavenumber cm-1 2209
Symmetry SG
Intensity arbitrary units 68
Image


Charge Analysis

Charge on C: 0.506

Charge on O: -0.506

In expectation, the charge on O should be negative since O is more electronegative than C.

Molecular Orbitals

Molecular orbital 8

-AOs contribute to the MO: 2p(C) 2p(O)

-Antibonding or bonding: Anitibonding

-Energy: -0.02177 au (LUMO)

-Occupied or unoccupied: Unoccupied


Molecular orbital 7

-AOs contribute to the MO: 2s(C) 2p(O)

-Antibonding or bonding: Bonding

-Energy: -0.37145 au (HOMO)

-Occupied or unoccupied: Occupied


Molecular orbital 6

-AOs contribute to the MO: 2p(C) 2p(O)

-Antibonding or bonding: Bonding

-Energy: -0.46743 au

-Occupied or unoccupied: Occupied


Molecular orbital 4

-AOs contribute to the MO: 2s(C) 2s(O)

-Antibonding or bonding: Antibonding

-Energy: -0.57004 au

-Occupied or unoccupied: Occupied


Molecular orbital 3

-AOs contribute to the MO: 2s(C) 2s(O)

-Antibonding or bonding: Bonding

-Energy: -1.15791 au

-Occupied or unoccupied: Occupied


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 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 - but you have given a H-H-N angle instead of a H-N-H bond angle. 37 degrees would be an extremely usual bond angle.

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 0/0.5

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

YES. However you have given a bond angle of 180 for N2 and H2, there are no bond angles in diatomic molecules. Bond angles involve exactly 3 atoms.

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 - However you wrote "The bong length of this triple bod" - you should take a lot more care over your spelling as it is hard to communicate complicated concepts if your use of english is not clear for the reader.

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 4/5

Have you completed the calculation and included all relevant information?

YES

Have you added information about MOs and charges on atoms?

YES - correct answers overall well done! You could have explained the MOs in more detail.

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

You did an extra calculation well done!

Do some deeper analysis on your results so far