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Rep:Mod:HSZ15

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NH3 molecule

Molecule: NH3

Calculation Method: RB3LYP

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

Final energy E(RB3LYP): -56.44397188 a.u.

RMS gradient: 0.00000485 a.u.

Point Group: C3V

N-H bond distance=1.01798 A

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

File:HSZ15PHUNT NH3 OPTF POP.LOG

Modes from the 3N-6 rule: 6

Degenerate Modes: Mode 2 and 3 Mode 5 and 6

Bending Vibrations: Mode 1,2 and 3

Bond Stretch Vibraions: Mode 4

Highly Symmetric: Mode 1 and 4

Umbrella Mode: Mode 1

Bands in an experimental spectrum of gaseous ammonia: 4

charge on the N-atom: -1.125

charge on the H-atoms: 0.375

N2 molecule

Molecule: NH2

Calculation Method: RB3LYP

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

Final energy E(RB3LYP): -109.523591111 a.u.

RMS gradient: 0.02473091 a.u.

Point Group: D*H

 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

Frequency: 2457.33 No negative frequency

H2 molecule

Molecule: H2

Calculation Method: RB3LYP

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

Final energy E(RB3LYP): -1.17853936 a.u.

RMS gradient: 0.00000017 a.u.

Point Group: D*H

  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

Frequency: 4465.68 No negative frequency

The energy for the reaction of haber process

E(NH3)=-56.44397188 a.u.

2*E(NH3)=2*(-56.44397188 a.u.)

E(N2)=-109.523591111 a.u.

E(H2)=-1.17853936 a.u.

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


ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=2*(-56.44397188 a.u.)-[-109.523591111 a.u.+3*(-1.17853936 a.u.)]

 =0.171265431 a.u
 
 =0.171265431*2625.5

 =449.6573890905 kJ/mol

Choice of small molecule O2

Molecule: O2

Calculation Method: RB3LYP

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

Final energy E(RB3LYP): -150.25742434 a.u.

RMS gradient: 0.00007502 a.u.

Point Group: D*H

Bond distance: 1.16160 A

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
test molecule


File:HSZ O2OPTF.LOG

The frequency of O2: 1642.74

Charge on the O atom: 0.000

This is the 1s AOs of O2,as 1s orbit has only two electrons.

This is the overlap of the p orbital on two Oxygen atoms This is the 3s AOs of O2 This is the overlap of p orbital on two oxygen atoms This is also the overlap of p orbital, as it has nearly same energy as 6a orbital