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01354725

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Ammonia NH3

Detailed Information

N-H Bond Length : 1.01798Å

H-N-H Angle : 105.741°

Calculation Method: RB3LYP

Basis Set : 6-31G(d,p)

Final Energy E(RB3LYP) : -56.55776873a.u.

Point Group : 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 3D Model

NH3 molecule

Display Vibrations

Questions

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

  No. of Modes = 3*4-6 = 6

2.Which modes are degenerate (ie have the same energy)?

 The 2nd and 3rd modes are degenerate, and the 5th and 6th modes are degenerate.

3.Which modes are "bending" vibrations and which are "bond stretch" vibrations?

 "Bending" vibrations : 1st,2nd and 3rd modes.
 "Bond Stretch" vibrations : 4th,5th and 6th modes.

4.Which mode is highly symmetric?

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

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

 4 bands.

Charge Analysis

1.Charge on N atom : -1.125.

2.Charge on H atom : 0.375.

3.Overall dipole moment magnitude : 1.8466

The expected N charge is negative and H charge is positive, since the electronegativity of N is 3.04, but that of H is 2.20. N is more electronegative than H. N is more tending to attract a shared pair of electrons (or electron density) towards itself.

N2 Molecule

Detailed Information

N2 bond distance = 1.10550 Å

N2 bond angle = 180°

Calculation Method: RB3LYP

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

Final Energy E(RB3LYP): -109.52412868 a.u.

Point Group: D*H

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 3D Model

N2 molecule

Display Vibrations

H2 Molecule

Detailed Information

N-H Bond Length : 0.74279Å

H-N-H Angle : 180°

Calculation Method: RB3LYP

Basis Set : 6-31G(d,p)

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

Point Group : D*H

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 3D Model

H2 molecule

Display Vibrations

Reactivity

   E(NH3) = -56.55776870 a.u.
   2*E(NH3) = -113.1155370 a.u.
   E(N2) = -109.52359111 a.u.
   E(H2) = -1.17853936 a.u.
   3*E(H2) = -3.53561808 a.u.
   ΔE = 2*E(NH3)-[E(N2)+3*E(H2)] = -113.1155370+113.05920919 = -0.05632781 a.u. 
      = (-0.05632781/ 0.0000038)*0.01 kJ/mol = -147.89 kJ/mol
   
   The ammonia product is more stable because the energy difference is negative, 
   indicating the reaction forms low energy level product from high energy level product by releasing energy.

F2 Molecule

Detailed Information

F2 bond distance = 1.40281 Å

F2 bond angle = 180°

Calculation Method: RB3LYP

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

Final Energy E(RB3LYP) : -199.49825218a.u.

Point Group: D*H

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 3D Model

F2 molecule

Display Vibrations

Charge Analysis

The charges of 2 F atoms in F2 molecule are same.

The overall charge and dipole moment of F2 molecule are zero.