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NH3

Optimisation Information

Calculation Method:B3LYP, Basis Set:6-31G(d,p)

Molecule Information

Energy:-56.55776873, Point Group:C3V, Charge on N atom:-1.162, Charge on H atoms:0.387 Nitrogen if more electronegative than hydrogen, the nitrogen atom will therefore displace the bonding pairs towards itself, increasing electron density around itself and acquiring a negative charge. This leaves the hydrogen atoms to be positively charged, since electron density around them is lowered.

Image

test molecule


RMS Force and Displacement


 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

Vibrations

From the 3N-6 rule, 9 modes are expected. 3 bands are expected in the experimental IR spectrum of ammonia. Symmetric:1,4 Umbrella:1 degenerate:2,3;5,6 bending:1,3 stretching:2,4,5,6

Link to file

[1]

N2

Optimisation Information

Calculation Method:B3LYP, Basis Set:6-31G(d,p)

Molecule Information

Energy:-109.52412868, Point Group:D*H

Image

test molecule

RMS Force and Displacement


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

Link to file

[2]

H2

Optimisation Information

Calculation Method:B3LYP, Basis Set:6-31G(d,p)

Molecule Information

Energy: -1.17853936, Point Group:D*H

Image

test molecule

RMS Force and Displacement


       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

Link to file

[3]

Haber Process Energy

E(NH3)=-56.55776873 2*E(NH3)=-113.1153746 E(N2)=-109.52412868 E(H2)=-1.17853936 3*E(H2)=-3.53561808 ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=-0.05562784 Hartree= -146.05 kJ/mol

O2

Optimisation Information

Calculation Method:B3LYP, Basis Set:6-31G(d,p)

Molecule Information

Energy: -150.25742434 Point Group:D*H

Image

test molecule

RMS Force and Displacement

         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

Vibrations

Link to file

[4]

Molecular Orbitals

g

This is the 1σg orbital. It is a bonding orbital resulting from the linear combination of a 1s atomic orbital from each oxygen atom. It is the molecular orbital lowest in energy. Therefore, it has no effect on bonding. The orbital is occupied, filled with two electrons.

1σ*u

This is the 1σ*u orbital. It is an anti-bonding orbital resulting from the linear combination of a 1s atomic orbital from each oxygen atom. It is very deep in energy (-19.30712). Therefore, it has no effect on bonding. The orbital is occupied, filled with two electrons.

g

This is the 2σg orbital. It is a bonding orbital resulting from the linear combination of a 2s orbital from each oxygen atom. It is relatively higher in energy (-1.27663) than the two previously discussed ones. The orbital is occupied, filled with two electrons.

2σ*u

This is the 2σ*u orbital. It is an anti-bonding orbital resulting from the linear combination of a 2s orbital from each oxygen atom. It has an energy of -0.79812. The orbital is occupied, filled with two electrons.

g

This is the 3σg orbital. It is a bonding orbital resulting from the linear combination of a 2p orbital, which overlap head-on, from each oxygen atom. It has an energy of -0.53151. The orbital is occupied, filled with two electrons.