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My NH3 Molecule

Information on my molecule
calculation method RB3LYP
Basis set 6-31G(d.p)
Final Energy -56.55776873
RMS Gradient Norm 0.00000485
N-H bond length 1.3 Amstrong
H-N-H bond Angle 109.47
Point Group C3V

Item Table for NH3

       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

My Jmol NH3 Image

Optimised NH3

File:OPTIMISATION NH3 1 kemi.LOG

Vibrations of NH3

Answers to Questions

The number of modes expected from 3N-6 rule is 6.

The degenerate modes are modes 2&3 and 5&6.

The umbrella mode is mode 1.

Mode 4 is highly symmetric.

In a gaseous ammonia spectra, the expected number of bands is 2.

Charge of Atoms

The charge on the each hydrogen is 0.375. The charge on the nitrogen atom is -1.125.

As nitrogen is more electronegative than hydrogen, is has a greater ability to attract the bonding electron pairs to itself. This is why it is negative charged, while the hydrogen atoms are positively charged.

Hydrogen and Nitrogen molecules

Hydrogen
calculation method RB3LYP
Basis set 6-31G(d.p)
Final Energy -1.15928020
RMS Gradient Norm 0.00000485
Point Group D infinity


test molecule

Hydrogen 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
Nitrogen
calculation method RB3LYP
Basis set 6-31G(d.p)
Final Energy -109.524
RMS Gradient Norm 0.0000006
Point Group D infinity


test molecule

Nitrogen 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

Energies calculated( all in atomic units):

E(NH3)= -56.55776873

2*E(NH3)= -113.33553746

E(N2)= -109.52412868

E(H2)= -1.15928020

3*E(H2)= -4.7784060

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= - 0.033002748

Energies Calculated (in Kj/mol)

E(NH3) = 14892.4248

2*E(NH3)= 296984.8436

E(N2) = -287555.5771

E(H2)= -3043.69015

3(H2)= -9131.070495

ΔE= - 86.64871487

As the ΔE is negative, the product (NH3) is lower in energy than the reactants, hence more stable.

My small Molecule: ClF3

Analysis of my molecule
Calculation method RB3LYP
Basis set 6-31G(d.p)
Final Energy -759.38175724
RMS Gradient Norm 0.00076805
Cl-F Bond length 1.57 Amstrong
F-Cl-F 120 degrees
Charge of Cl atom 1.355
Charge of F atom -0.452
test molecule

ClF3 Item Table

       Item               Value     Threshold  Converged?
Maximum Force            0.000011     0.000450     YES
RMS     Force            0.000007     0.000300     YES
Maximum Displacement     0.000049     0.001800     YES
RMS     Displacement     0.000032     0.001200     YES

Molecular Orbitals

Red electron clouds are representative of bonding orbitals and green electron density clouds are representative of the anti-bonding orbitals. Orbitals 11 and 10 are degenerate, as well as 8 and 7 as they have the same energy value.