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NH3 Molecule

N-H bond distance= 1.01798 Angstrom
H-N-H bond angle= 105.741 degrees

The literature value for the N-H bond distance is 1.012 Angstrom and the bond angle is 106.7 degrees. [1]

Molecule: NH3                                                                                                         
Calculation Method: RB3LYP                                                                                                   
Basis Set: 6-31G(d,p)                                                                                           
Final Energy E(RB3LYP): -56.55776873 a.u.
RMS Gradient: 0.00000485
Point Group: C3V
        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
NH3 molecule

The optimisation file is liked to here

There are no negative frequencies.

how many modes do you expect from the 3N-6 rule? 6
which modes are degenerate (ie have the same energy)? 2 and 3, 5 and 6
which modes are "bending" vibrations and which are "bond stretch" vibrations? Bending:1,2,3 Stretching:4,5,6
which mode is highly symmetric? 4
one mode is known as the "umbrella" mode, which one is this? 4
how many bands would you expect to see in an experimental spectrum of gaseous ammonia? 4


Charge on the Nitrogen= -1.125
Charge on the Hydrogens= 0.375

This is expected as nitrogen is very electronegative and so would have a negative value and hydrogen would be positive.

N2 Molecule

Molecule: N2
Calculation Method: RB3LYP
Basis Set: 6-31G(d,p)
Final Energy E(RB3LYP): -109.52359111 a.u.
RMS Gradient: 0.02473091
Point Group: D∞h
N-N bond distance= 1.09200  Angstrom


        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
N2 molecule

There are no negative frequencies.

The optimisation file is liked to here

how many modes do you expect from the 3N-5 rule? 1
which modes are "bending" vibrations and which are "bond stretch" vibrations? 1 is a stretch
which mode is highly symmetric? 1

The charge on each nitrogen was 0.000

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
Point Group: D∞h

H-H bond distance= 0.74279 Angstrom

  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
H2 molecule

There are no negative frequencies.

The optimisation file is liked to here

how many modes do you expect from the 3N-5 rule? 1
which modes are "bending" vibrations and which are "bond stretch" vibrations? 1 is a stretch
which mode is highly symmetric? 1

The charge on each hydrogen was 0.000

Reactivity

E(NH3)=-56.55776873 au
2*E(NH3)=-113.11553746 au
E(N2)= -109.52359111 au
E(H2)= -1.17853936 au
3*E(H2)=-3.53561808 au
ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.05616555 au
ΔE=-147.46 kJ/mol
The products are more stable than the reactants.


F2 Molecule

Molecule: F2
Calculation Method: RB3LYP
Basis Set: 6-31G(d,p)
Final Energy E(RB3LYP): -199.49825218 a.u.
RMS Gradient: 0.00007365
Point Group: D∞h
F-F bond distance=1.40281 angstrom
Item               Value     Threshold  Converged?
 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
F2 molecule

There are no negative frequencies.

The optimisation file is liked to here

The charge on each flourine was 0.000


how many modes do you expect from the 3N-5 rule? 1
which modes are "bending" vibrations and which are "bond stretch" vibrations? 1 is a stretch
which mode is highly symmetric? 1

F2 Molecular Orbitals

M01 MO2 MO3 MO4 MO5

MO1 is a bonding orbital with electrons from the 2s orbital on each F, however due to a σ* from the 2s orbital in each F, it does not contribute to bonding overall. MO2 is a σ* orbital from the 2s orbital in each F, it is higher in energy than the MO1 but lower than MO3, MO4 and MO5. MO1 is the deepest in energy out of the 5 MO's shown above. MO3 is a σ orbital with electrons from a 2p orbital on each fluorine, it contributes to bonding as there is not a σ* from the 2p orbital negate it. MO4 and MO5 are both π orbitals with electrons from a 2p orbital on each fluorine. They do not contribute to bonding due to there being 2 π* MO's.