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Yg1333614

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NH3 molecule

NH3 molecule

The optimisation file is liked to here

Information of NH3 molecule

Calculation Type = FREQ

Calculation Method = RB3LYP

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

Charge = 0

Spin = Singlet

E(RB3LYP) = -56.55776873 a.u.

RMS Gradient Norm = 0.00000485 a.u.

Imaginary Freq = 0

Dipole Moment = 1.8466 Debye

Point Group = C3V

Bond Angles=105.741

Bond Length=1.01798

Raw data of NH3

Vibration data of NH3

There are 6 unique vibration modes of a NH3 molecule shown as followings:

The one shown below is a model of the most common vibrational mode:

There are 6 modes from the calculation 3*4-6=6

The modes are not degenerate since they have different energy

Only the first mode and the third mode are bending modes, the rest are stretching modes.

The 5th and 6th modes are highly symmetric because they have the least vibrational energy value

The first mode is the umbrella mode

Only one band should be seen in IR spectra,because there is only one type of N-H bond in this molecule

Charge distribution of NH3

due to the difference in electronegativity of different atoms in a NH3 molecule, the charges do not distribute evenly.The ammonia molecule have a charge distribution shown below:

Reaction energies of NH3

Ammonia molecule could be generated through Haber Process 3H2+N2->2NH3. The reaction energies of NH3, the reactants and the difference in energies in this reaction is shown below:

E(N2)=-109.52412868 a.u.

3*E(H2)=-3*1.17853936 a.u.=-3.535 a.u.

2*E(NH3)=-2*56.55776873 a.u.=-113.115 a.u.

delta E=2*E(NH3)-[E(N2)+3*E(H2)]=-113.115-(-109.524-3.535)=-0.056 a.u.

The negative sign indicates that this reaction process is exothermic and the final products of ammonia is more stable than the initial reactants.

Molecular orbitals of NH3

N2 molecule

N2 molecule

The optimisation file is liked to here

information of N2 molecule

Calculation Type=FREQ

Calculation Method=RB3LYP

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

Charge=0

Spin=Singlet

E(RB3LYP)=-109.52412868 a.u.

RMS Gradient Norm=0.00000060 a.u.

Imaginary Freq=0

Dipole Moment=0.0000 Debye

Point Group=D*H

Bond length=1.10550

Bond angle=180

Raw data of N2 molecule

Vibration data of N2 molecule

H2 molecule

H2 molecule

The optimisation file is liked to here

Information of H2 molecule

Calculation Type=FREQ

Calculation Method=RB3LYP

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

Charge=0

Spin=Singlet

E(RB3LYP)=-1.17853936 a.u.

RMS Gradient Norm=0.00000036 a.u.

Imaginary Freq=0

Dipole Moment=0.0000 Debye

Point Group=D*H

Bond length=0.74279

Bond angle=180

Raw data of H2 molecule

Vibration data of H2 molecule

H2S molecule

H2S molecule

The optimisation file is liked to here

information of H2S molecule

Calculation Type=FREQ

Calculation Method=RB3LYP

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

Charge=0

Spin=Singlet

E(RB3LYP)=-399.39162393 a.u.

RMS Gradient Norm=0.00018900 a.u.

Imaginary Freq=0

Dipole Moment=1.3993 Debye

Point Group=C2V

Bond angle=92.65959

Bond length=1.34714

Raw data of H2S molecule

Vibration data of H2S

There are only three modes of vibration of H2S molecule, they are shown below:

The one mode shown below is a bending vibration of H2S molecule.

Charge distribution of H2S molecule

Due to the difference in electronegativity in different molecules in H2S, the charges are distributed unevenly, as shown below:

Molecular orbital of H2S molecule