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Rep:Mod:01330404

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Ammonia

General information

Ammonia NH3

calculation method: RB3LYP

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

final energy E in a.u.:-56.55776873

RMS Gradient Norm:0.00000485

point group:C3V


optimized NH3 bond length B=1.01798 (N-H)

optimized NH3 bond angle A=105.741 (H-N-H)



3D Jmol model

test molecule


Link to the .log file

File:YUEHE PHUNT NH3 OPTF POP.LOG


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
 Predicted change in Energy=-5.986275D-10
 Optimization completed.
    -- Stationary point found.



Vibration table



Modes and interpretation

Number of modes from 3N-6 rule:3*4-6=6 modes

Degenerate modes: mode2&3, mode5&6

Bending: mode1,2&3

Stretching: mode4,5&6

Highly symmetric mode:4

Umbrella mode:1

bands expected:4


Charge on N:-1.125

Charge on H:0.375

Negative charge on N is expected as N is more electronegative.

Positive charge on H is expected.



Nitrogen

General information

Nitrogen N2

calculation method: RB3LYP

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

final energy E in a.u.:-109.52359111

RMS Gradient Norm:0.02473091

point group:D*H


3D Jmol Model

test molecule



Link to the .log file

File:YUEHE N2OPTIMIZATION.LOG



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
 Predicted change in Energy=-3.401079D-13
 Optimization completed.
    -- Stationary point found.




Vibration table



Hydrogen

General information

Hydrogen H2

calculation method: RB3LYP

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

final energy E in a.u.:-1.15928020

RMS Gradient Norm:0.09719500

point group:D*H



3D Jmol model

test molecule



Link to the .log file

File:H2OPTIINPUT.LOG



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
 Predicted change in Energy=-1.164080D-13
 Optimization completed.
    -- Stationary point found.



Vibration table


Energy calculation

E(NH3)=-56.55776873

2*E(NH3)=-113.1155375

E(N2)=:-109.52359111

E(H2)=:-1.15928020

3*E(H2)=-3.4778406

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=-0.11410579=-299.58 kJ/mol

As ΔE is negative the ammonia product is more stable.


Molecule selected: F2

General information

Fluorine F2

calculation method: RB3LYP

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

final energy E in a.u.:-199.42620785

RMS Gradient Norm:0.23253407

point group:D*H

Bond length: 1.16000

Charge on F atoms: 0.000



3D Jmol Model

test molecule



Link to the .log file

File:YUEHEF2OPTI.LOG



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
 Predicted change in Energy=-1.995025D-08
 Optimization completed.
    -- Stationary point found.




Vibration table




MO images and descriptions of F2

Figure.1


Figure.2


Figure.3


Figure.4


Figure.5


Figure.1:Sigma bonding MO formed by two 2s orbitals. It is relatively deep in energy and is occupied by two electrons. It enhances the bonding character of the bond.

Figure.2:Sigma anti-bonding MO formed by two 2s orbitals; Higher energy than the previous bonding MO. It is occupied by two electrons and therefore enhances the anti-bonding character of the bond.

Figure.3:Pi bonding MO formed by two 2p orbitals. It is occupied by two electrons and is still negative in energy. There is no pi bonds in F2 as the effect of pi bonding MOs is cancelled by the occupied pi anti-bonding MOs.

Figure.4:HOMO of F2 molecule formed by two 2p orbitals. It is a pi anti-bonding MO and is occupied by two electrons.

Figure.5:LUMO of F2 molecule formed by two 2p orbitals. It is a sigma anti-bonding MO and is unoccupied of electrons.



Independence calculation:H2SiO

General information

H2SiO

calculation method: RB3LYP

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

final energy E in a.u.:-365.89319642

RMS Gradient Norm:0.03065697

point group:CS


Charge on Si atom: 1.472

Charge on H atom(s): -0.236

Charge on O atom: -1.001



3D Jmol Model

test molecule


Link to the .log file

File:YUEHEH2SIOOPTI.LOG



Item table

 Item               Value     Threshold  Converged?
 Maximum Force            0.000023     0.000450     YES
 RMS     Force            0.000009     0.000300     YES
 Maximum Displacement     0.000023     0.001800     YES
 RMS     Displacement     0.000017     0.001200     YES
 Predicted change in Energy=-5.109741D-10
 Optimization completed.
    -- Stationary point found.




Vibration table