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Junting1997

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NH3 Molecule

Molecule name: NH3

Calculation method: RB3LYP

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

final energy E(RB3LYP): -56.55776873 au

point group: C3V

N-H bond distance: 1.01798

H-N-H bond angle: 105.741

         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


test molecule

Vibration display



The optimisation is link to the file: here

6 modes are expected from the 3N-6 rule

There are 2 different modes which are degenerated into 2 different frequencies(Frequency 1693.95 and frequency 3589.82) Mode 2 and 3 are degenerated, mode 5 and 6 are degenerated. The last 3 vibrations have very low intensity so only 2 are shown

Mode 1,2,3 are bending and Mode 4,5,6 are stretching

Mode 1 and 4 are highly symmetric

Mode 1 is knwon as the 'umbrella' mode

4 bands are expected to see in an experimental spectrum of gaseous ammonia

The charge on N-atom: -1.125 The charge on H-atoms: 0.375

I would expect the charge on N-atom to be negative, and the one on the H-atom is positive. That's because N is more electronegative than H.

N2

Molecule name: N2

Calculation method: RB3LYP

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

final energy E(RB3LYP): -109.5241 au

RMS gradient: 0.00000365

point group: D*H

N-N bond distance: 1.10550 au

atom charge: 0, because they are same atoms forming a molecule

Item                     Value        Threshold   Converged?
Maximum Force            0.000006     0.000450     YES
RMS     Force            0.000006     0.000300     YES
Maximum Displacement     0.000002     0.001800     YES
RMS     Displacement     0.000003     0.001200     YES
Predicted change in Energy=-1.248809D-11
test molecule

The optimisation is link to the file: here

3 modes of vibration is expected. (3N-5=1 where N=2)

Display Vibration

H2

Molecule name: H2

Calculation method: RB3LYP

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

final energy E(RB3LYP): -1.17859 au

RMS gradient: 0.00012170

point group: D*H

H-H bond distance: 0.74309

atom charge: 0, because the molecule is made of two same atoms.

Item                     Value     Threshold  Converged?
Maximum Force            0.000211     0.000450     YES
RMS     Force            0.000211     0.000300     YES
Maximum Displacement     0.000278     0.001800     YES
RMS     Displacement     0.000393     0.001200     YES


test molecule

The optimisation is link to the file: here


1 mode of vibration is expected. (3N-5=1 where N equals to 2)

display vibration

Haber-Bosch process

E(NH3)=-56.55776873 au

2*E(NH3)=-113.11554 au

E(N2)=-109.5241 au

E(H2)=-1.17859 au

3*E(H2)=-3.53577 au

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.05566746 au = -146.49332 KJ/mol

ΔE is negative, so the product is more stable



Cl2

Molecule name: Cl2

Calculation method: RB3LYP

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

final energy E(RB3LYP): -920.34987886 au

RMS gradient: 0.00001149

point group: D*H

Cl-Cl bond distance: 2.04155 au

atom charge: 0, because the molecule is made of two same atoms.


 Item                     Value     Threshold  Converged?
 Maximum Force            0.000020     0.000450     YES
 RMS     Force            0.000020     0.000300     YES
 Maximum Displacement     0.000056     0.001800     YES
 RMS     Displacement     0.000079     0.001200     YES

test molecule

1 mode of vibration is expected. (3N-5 where N=2)

The optimisation is link to the file: here


MO Theory

This MO indicates a bonding between two 1s electrons, (the most inner AOs) on each chlorine atom. It does not involve in chemical bonding.


This is the 3rd MO of the molecule. This is the anti-bonding orbital of 2s elections in Cl2 molecule. It is occupied, and does not involve in chemical bonding.
This is the 3s bonding orbital. It involves in chemical bonding. It is the 11st MO of Cl molecule
This is the 3s anti-bonding orbital. It is σ* orbital. Its energy is higher than σ orbital.
This is 3px π* orbital. Its energy is higher than π orbital.