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NH3 molecule

Summary

N-H bond distance = 1.02Å

H-N-H bond angle = 106°

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Charge: 0

Spin: Singlet

E(RB3LYP): -56.55776873a.u.

RMS Gradient Norm: 0.00000323

Imaginary Freq: 0

Dipole Moment: 1.8465

Point Group: C3V


NH3

Optimised NH3 output

        Item               Value     Threshold  Converged?
 Maximum Force            0.000006     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000014     0.001800     YES
 RMS     Displacement     0.000009     0.001200     YES

here

Vibrations


wavenumber cm-1 1089 1649 1649 3461 3590 3590
symmetry A1 E E A1 E E
intensity (arbitrary units) 145 14 14 1 0 0

Questions

Q: how many modes do you expect from the 3N-6 rule?

A:6

Q: which modes are degenerate (ie have the same energy)?

A:2&3 5&6

Q: which modes are "bending" vibrations and which are "bond stretch" vibrations?

A:bending vibrations: 1&2&3
  bond stretch: 4&5&6

Q: which mode is highly symmetric?

A:1&4

Q:one mode is known as the "umbrella" mode, which one is this?

A:1

Q: how many bands would you expect to see in an experimental spectrum of gaseous ammonia?

A:4

Atomic charges

the charge on the N-atom is -1.125 and H-atom is +0.375

Nitrogen carry negatove charge since it is more electronegativity.

N2 molecule

Summary

N-N bond distance = 1.11Å

N-N bond angle = 180°

Calculation Type: FREQ

Calculation Method:RB3LYP

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

Charge: 0

Spin: Singlet

E(RB3LYP): -109.52412868a.u.

RMS Gradient Norm: 0.00000060a.u.

Dipole Moment: 0.0000 Debye

Point Group: D*H

N2

Optimised N2 output

                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

here

Vibrations


wavenumber cm-1 2457
symmetry SGG
intensity (arbitrary units) 0

Atomic charge

0 charge on both N molecule since there are no dipole moment

H2 molecule

Summary

H-H bond distance = 0.74Å

H-H bond angle = 180°

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Charge: 0

Spin: Singlet

E(RB3LYP): -1.17853936a.u.

RMS Gradient Norm: 0.00000017a.u.

Imaginary Freq: 0

Dipole Momentl: 0.0000Debye

Point Group: D*H

H2

Optimised H2 output

        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

here

Vibrations


wavenumber cm-1 4466
symmetry SGG
intensity (arbitrary units) 0

Atomic charge

0 charge on both H atom since there is no dipole moment


Structure and Reactivity

MORBDZ

https://www.ccdc.cam.ac.uk/structures/Search?Ccdcid=MORBDZ&DatabaseToSearch=Published

MORBDZ N-N bond distance= 1.1001Å

The N-N triple bond distance in MORBDZ is 1.10Å whereas the N-N triple bond distance in Nirogen gas is 1.02Å. The N-N triple bond in MORBDZ is because the triple bond is delocalised with the benzene ring to form a conjugate system. So the N-N triple bond is stronger and the bond length is shorter.


E(NH3)= -56.55776873a.u.

2*E(NH3)= -113.1155375a.u.

E(N2)= -109.52412868a.u.

E(H2)= -1.17853936a.u.

3*E(H2)= -3.53561808a.u.

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=-0.0557a.u.=-146KJ/mol

NF3 molecule

Summary

N-F bond distance = 1.38Å

F-N-F bond angle = 102°

Calculation Type: FREQ

Calculation Method: RB3LYP

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

Charge: 0

Spin: Singlet

E(RB3LYP): -354.07131058 a.u.

RMS Gradient Norm: 0.00010256 a.u.

Imaginary Freq: 0

Dipole Moment: 0.0961 Debye

Point Group: C3V


NF3

Optimised NF3 output

      
         Item               Value     Threshold  Converged?
 Maximum Force            0.000164     0.000450     YES
 RMS     Force            0.000108     0.000300     YES
 Maximum Displacement     0.000612     0.001800     YES
 RMS     Displacement     0.000296     0.001200     YES

here

Vibrations


wavenumber cm-1 482 482 644 930 930 1062
symmetry E E A1 E E A1
intensity (arbitrary units) 1 1 3 208 208 40

Questions

Q: how many modes do you expect from the 3N-6 rule?

A:6

Q: which modes are degenerate (ie have the same energy)?

A:1&2 4&5

Q: which modes are "bending" vibrations and which are "bond stretch" vibrations?

A:bending vibrations: 1&2
  bond stretch: 3&4&5&6

Q: which mode is highly symmetric?

A:2&3&6

Q: how many bands would you expect to see in an experimental spectrum of gaseous NF3?

A:4

Atomic charges

the charge on the N-atom is +0.660 and H-atom is -0.220

F carry negatove charge since it is more electronegativity.

Molecular orbitals

The HOMO of NF3 is 17 and its energy is 0.01947a.u. The LUMO of NF3 is 18 and the energy is -0.35162a.u.


5 s(100.00%)

s orbital of atom 1,2,3 and4 forms bonding

7 s(100.00%)

s bonding orbital between atom3&4. s bonding orbiral between 1&2. s anti-bonding orbital between 2&3 and 2&4.

11 p( 99.91%)

p bonding orbital between atom 1&2&3&4

13 s( 6.05%) p( 93.88%)

p bonding orbital between 2&3 and2&4. p anti-bonding orbital between 3&4 and

16 s( 6.05%) p( 93.88%)

p anti-bonding orbitals between 1&2&3&4


Marking

Note: All grades and comments are provisional and subjecct to change until your grades are officially returned via blackboard. Please do not contact anyone about anything to do with the marking of this lab until you have recieved your grade from blackboard.

Wiki structure and presentation 1/1

Is your wiki page clear and easy to follow, with consistent formatting?

YES

Do you effectively use tables, figures and subheadings to communicate your work?

YES

NH3 0.5/1

Have you completed the calculation and given a link to the file?

YES

Have you included summary and item tables in your wiki?

YES

Have you included a 3d jmol file or an image of the finished structure?

YES

Have you included the bond lengths and angles asked for?

YES

Have you included the “display vibrations” table?

YES

Have you added a table to your wiki listing the wavenumber and intensity of each vibration?

YES

Did you do the optional extra of adding images of the vibrations?

YES

Have you included answers to the questions about vibrations and charges in the lab script?

YES - you stated to expect 4 bands in the experimental spectrum without an explanation. You correctly stated that there are two sets of degenerate modes - this explains a spectrum with 4 peaks. However there are only 2 peaks visible as peaks 4, 5 and 6 are of too low an intensity to be visible.

N2 and H2 0/0.5

Have you completed the calculations and included all relevant information? (summary, item table, structural information, jmol image, vibrations and charges)

YES - however, you stated a bond angle for diatomic molecules. To define a bond angle a minimum of 3 atoms is needed! You could have explained that the charges are 0 as the electronegativities are equal.

Crystal structure comparison 0.5/0.5

Have you included a link to a structure from the CCDC that includes a coordinated N2 or H2 molecule?

YES - however the task was to compare your results with crystal structure data and not with an organic diazonium salt.

Have you compared your optimised bond distance to the crystal structure bond distance?

YES

Haber-Bosch reaction energy calculation 0.5/1

Have you correctly calculated the energies asked for? ΔE=2*E(NH3)-[E(N2)+3*E(H2)]

YES

Have you reported your answers to the correct number of decimal places?

YES

Do your energies have the correct +/- sign?

YES

Have you answered the question, Identify which is more stable the gaseous reactants or the ammonia product?

NO - you missed to interpret the value of the calculated reaction energy.

Your choice of small molecule 3.5/5

Have you completed the calculation and included all relevant information?

YES

Have you added information about MOs and charges on atoms?

You have done a good job of presenting this information, well done! You missed to comment on the energies of the MOs and on their occupied/unoccupied state. your description of bonding/anti-bonding/non-bonding orbitals is wrong. The very same MO cannot be bonding and anti-bonding a the same time. A node is not necessarily indicative for a anti-bonding orbital (e.g. is a true bonding orbital). You statements about the contributing Mos is missing the principal quantum number to make your discussion easier to follow.

Independence 0/1

If you have finished everything else and have spare time in the lab you could: Check one of your results against the literature, or Do an extra calculation on another small molecule, or Do some deeper analysis on your results so far

NO - No independent work has been identified.