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NH3

Basic information

Basic information
Molecule name Ammonia
Calculation method B3LYP
Basis set 6-31G(d,p)
final energy E(RB3LYP) in atomic units (au) -56.557769
the point group of NH3 C3V
         Item               Value     Threshold  Converged?
 Maximum Force            0.000006     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000014     0.001800     YES
 RMS     Displacement     0.000009     0.001200     YES


Vibrations


Vibration information
Mode 1 2 3 4 5 6
Wavenumber cm-1 1089 1694 1694 3461 3590 3590
Symmetry A1 E E A1 E E
Intensity 145.4 14.6 14.6 1.0 0.3 0.3

According to 3N-6 rule, there are 6 modes, and 4 of them are degenerate. Mode 1,2,3 are "bending" vibrations and mode 4,5,6 are "bond stretch" vibrations. Mode 1 and 4 are highly symmetric, with mode 1 being the "umbrella" mode. Four bands are expected to be seen in the experimental spectrum of gaseous ammonia.


Charge Distribution

The charge fits what is expected to see as nitrogen is the most electronegative atom so its sign should be negative and largest, and the overall charge is zero which agrees with the fact that the molecule is neutral.

N2

Basic information

Basic information
Molecule name Nitrogen
Calculation method B3LYP
Basis set 6-31G(d,p)
final energy E(RB3LYP) in atomic units (au) -109.524129
the point group of N2 DH
         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

Vibrations

Vibration information
Wavenumber cm-1 2457
Symmetry SGG
Intensity 0


Charge Distribution

Comparison with N2 in crystal

In DEFHAA, NN bond length is 1.096Å, which is slightly smaller than the computational value of 1.106Å. This means in crystal NN triple bond is slightly compressed. This indicates that the interaction is weaker between the crystal and nitrogen in comparison with the Van der Waal's interaction between two nitrogen molecules because in computer, there are only nitrogen molecules, while it is the crystal and nitrogen in experiment. [[1]]

H2

Basic information

Basic information
Molecule name Hydrogen
Calculation method B3LYP
Basis set 6-31G(d,p)
final energy E(RB3LYP) in atomic units (au) -1.178539
the point group of H2 DH
         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        

Vibrations

Vibration information
Wavenumber cm-1 4466
Symmetry SGG
Intensity 0


Charge Distribution


Reaction energy of formation of NH3

E(NH3)= -56.557769 au
2*E(NH3)= -113.115538 au
E(N2)= -109.524129 au
E(H2)= -1.178539 au
3*E(H2)= -3.535617 au
ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.055792 au
ΔE=-146.48190716 kJ/mol

NF3

Basic information

Basic information
Molecule name Nitrogen trifluoride
Calculation method B3LYP
Basis set 6-31G(d,p)
Bond length 1.38Å
Bond angle 102°
final energy E(RB3LYP) in atomic units (au) -354.071311
the point group of NH3 C3V
         Item               Value     Threshold  Converged?
 Maximum Force            0.000164     0.000450     YES
 RMS     Force            0.000108     0.000300     YES
 Maximum Displacement     0.000612     0.001800     YES
 RMS     Displacement     0.000296     0.001200     YES

Vibrations

Vibration information
Mode 1 2 3 4 5 6
Wavenumber cm-1 482 482 644 930 930 1062
Symmetry E A1 A1 E A1 A1
Intensity 0.5 0.5 2.8 208.0 208.0 39.9

According to 3N-6 rule, there are 6 modes, and 4 of them are degenerate. Mode 1,2,3 are "bending" vibrations and mode 4,5,6 are "bond stretch" vibrations. Mode 3 and 6 are highly symmetric, with mode 3 being the "umbrella" mode. Four bands are expected to be seen in the experimental spectrum of gaseous ammonia.

Charge Distribution

Molecular Orbital

F2

Basic information

Basic information
Molecule name Fluorine
Calculation method B3LYP
Basis set 6-31G(d,p)
final energy E(RB3LYP) in atomic units (au) -199.498252 the point group of H2 DH
         Item               Value     Threshold  Converged?
 Maximum Force            0.000128     0.000450     YES
 RMS     Force            0.000128     0.000300     YES
 Maximum Displacement     0.000156     0.001800     YES
 RMS     Displacement     0.000221     0.001200     YES        

Vibrations

Vibration information
Wavenumber cm-1 1065
Symmetry SGG
Intensity 0

Reaction energy of formation of NF3

E(NF3)= -354.071311 au
2*E(NF3)= -708.142622 au
E(N2)= -109.524129 au
E(F2)= -199.498252 au
3*E(F2)= -598.494756 au
ΔE=2*E(NF3)-[E(N2)+3*E(F2)]= -0.123737 au
ΔE= -324.8715182kJ/mol

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 - Good subheadings, well done!

NH3 0/1

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

No - you have not linked directly to the .log file as required.

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?

No

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

YES - most answers are correct however the are only 2 visible peaks in the spectra of NH3, due to the low intensity of the other 2 peaks. (See infrared column oin vibrations table.)

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)

No - you have not linked directly to the .log file as required.

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 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 - you should report to a maximum of 1 d.p for kj mol-1

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?

No

Your choice of small molecule 1/5

Have you completed the calculation and included all relevant information?

YES But you didn't link directly to the log file.

Have you added information about MOs and charges on atoms?

You have included two basic images with no analysis in words of the MOs or charges.

Independence 0.5/1

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 Do some deeper analysis on your results so far

YES - you did an extra energy calculation, and calculated an extra small molecule well done! You would have got the extra 0.5 for including links to the log files and giveing the energy value to the correct number of d.p.