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Molecule of NH3

Molecule information

N-H Distance:1.01798Å

H-N-H Bond angle:105.741°

Calculation method:RB3LYP

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

Final energy E(RB3LYP) in atomic units (au):-56.55776873

The point group of the molecule:C3V

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 file

AMMONIA MOLECULE


File:QZ3617 NH3 OPTF POP.LOG

Screen shot of vibrations of NH3


1.How many modes do you expect from the 3N-6 rule? - 3*4-6=6.

2.Which modes are degenerate? - Modes 2and3 are degenerate. Modes 5and6 are degenerate.

3.Which modes are "bending" vibrations and which are "bond stretch" vibrations? - Modes 1and2and3 are bending vibrations. Modes 4and5and6 are bond stretch vibrations.

4.Which mode is highly symmetric? -Mode 4.

5.One mode is known as the "umbrella" mode, which one is this? -Mode 1.

6.How many bands would you expect to see in an experimental spectrum of gaseous ammonia? -4 bands.

The charge on the N-atom is -1.125. The charge on the H-atom is 0.375. The nitrogen is more electronegative than hydrogen. So the charge on N should be negative and charge on H should be positive.


Molecule of H2

Molecule information

H-H Distance:0.74279Å

H-H Bond angle:180°

Calculation method:RB3LYP

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

Final energy E(RB3LYP) in atomic units (au):-1.17853936

The point group of the molecule:DinfH

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 file

HYDROGEN MOLECULE

Screen shot of vibrations of H2



Molecule of N2

Molecule information

N-N Distance:1.0550Å

N-N Bond angle:180°

Calculation method:RB3LYP

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

Final energy E(RB3LYP) in atomic units (au):-109.52412868

The point group of the molecule:DinfH

Item table

         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

Jmol file

NITROGEN MOLECULE

Screen shot of vibrations of N2

Energy of the reaction N2 + 3H2-> 2NH3

E(NH3)=-56.55776873au 2*E(NH3)=-113.11553746au E(N2)=-109.52412868au E(H2)=-1.17853936au 3*E(H2)=-3.53561808au ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=-0.0557907au=-146.48KJ/mol

Ammonia is more stable. Because the energy for ammonia is the lowest.

Molecule of F2

Molecule information

F-F Distance:1.40281Å

F-F Bond angle:180°

Calculation method:RB3LYP

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

Final energy E(RB3LYP) in atomic units (au):-199.49825218

The point group of the molecule:DinfH

Item table

         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

Jmol file

FLORINE MOLECULE

Screen shot of vibrations of F2

Molecular orbitals of F2










The first graph is the 2s boding orbital. Its energy is -1.33659. The second graph is the 2s anti-bonding orbital. Its energy is -1.09047. The third graph is the 2p bonding orbital. Its energy is -0.58753. The fourth graph is the 2p anti-bonding orbital.Its energy is -0.39190. The fifth graph is the pi bonding orbital.Its energy is -0.52332. All of these five orbitals are in the HOMO region and they are occupied.Also, anti-bonding orbital has higher energy than the bonding orbital.

Extra molecule H2SiO

Molecule information

H-Si Distance:1.48652Å

Si-O Distance:1.53172Å

H-Si-H Bond angle:105.741°

O-Si-H Bond angle:124.158°

Calculation method:RB3LYP

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

Final energy E(RB3LYP) in atomic units (au):-365.90001403

The point group of the molecule: CS

Item table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000539     0.000450     NO 
 RMS     Force            0.000222     0.000300     YES
 Maximum Displacement     0.001573     0.001800     YES
 RMS     Displacement     0.001153     0.001200     YES

Jmol file

H2SiO MOLECULE

Screen shot of vibrations of H2SiO