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PG12138

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NH3

Basic information

Calculation method: B3LYP

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

Charge: 0

RMS gradient norm : 0.00000485 a.u.

Final energy in atomic units: -56.49570525a.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
Predicted change in Energy=-5.986279D-10
Optimization completed.

JSmol image and link

File:BL1718 NH3.LOG

NH3

Bond diatance and bond angle

Bond distance: 1.02Å

Bond angle: 105.7 degree

Vibration table

wavenumber/cm-1 1090 1694 1694 3461 3590 3590
symmetry A1 E E A1 E E
intensity 145 14 14 1 0 0

NBO charge

NBO Charge: i would expect a positive charge on the H atom and a negative charge on the N atom becuse N is more electronegative than H. The resilts shows that H atom has a charge of 0.375 and N atom has a charge of -1.125.

Questions

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

which modes are degenerate (ie have the same energy)? 1694 cm-1 and 3590 cm-1

which modes are "bending" vibrations and which are "bond stretch" vibrations? 1090cm-1,1649cm-1 and 1649cm-1 are bending. 3461cm-1,3590cm-1 and 3590cm-1 are streching.

which mode is highly symmetric? 3461cm-1

one mode is known as the "umbrella" mode, which one is this? 1090cm-1 and 3461cm-1

how many bands would you expect to see in an experimental spectrum of gaseous ammonia? 4 bands

N2 and H2

N2

Basic information

Calculation method: B3LYP

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

Charge: 0

RMS gradient norm: 0.00000060a.u.

Final energy in atomic units: -56.49570525a.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
Predicted change in Energy=-3.400985D-13
Optimization completed.

JSmol image and link

File:BL1718 N2.LOG

N2

Bond distance and bond angle

Bond distance:1.10550Å

Bond angle:180 degree

Vibration table

wavenumber/cm-1 2457
symmetry SGG
intensity 0

NBO charge

NBO charges: I would expect zero charge on both N atoms as there is no electronegativity difference bewteen the two bonded N atoms. The calculation results also shows that the charge on both N atoms are 0.000.

H2

Basic information

Calculation method: B3LYP

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

Charge: 0

Final energy in atomic units: -56.49570525a.u.

RMS gradient norm: 0.0000017

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
Predicted change in Energy=-1.164080D-13
Optimization completed.

JSmol image and link

File:BL1718 H2.LOG

H2

Bond distance and bond angle

Bond distance:0.74279Å

Bond angle: 180 degrees

Vibration table

wavenumber/cm-1 4466
symmetry SGG
intensity 0

NBO charge

NBO charges: same as N2 molecule, there is no electronegativity difference between the two bonded H atoms so the charges should be zero. The results also shows that the charges on both H atoms are 0.000.

HAJSOC

This is the link to HAJSOC[1]

The N-N triple bond in HAJSOC is 1.069 and the bond of N2 molecule is 1.10550 which is different from the one in HAJSOC. This could possible due to the presence of the transition metal. The hybridization of the metal is involved in the o-interaction of the N-N triple bond so the bond length changes.

Energy of the reaction

E(NH3)= -56.55776873 a.u.

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

E(N2)= -109.52412868 a.u.

E(H2)= -1.17853936 a.u.

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

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -0.05579074 a.u.= -146.8 kJ/mol

NF3

Basic information

Calculation method: B3LYP

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

Charge: 0

Final energy in atomic units: -56.49570525a.u.

RMS graident norm: 0.00010256

Point group:C3v

Item table

        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
Predicted change in Energy=-1.274067D-07
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  1.384          -DE/DX =    0.0                 !
! R2    R(1,3)                  1.384          -DE/DX =    0.0                 !
! R3    R(1,4)                  1.384          -DE/DX =    0.0                 !
! A1    A(2,1,3)              101.8302         -DE/DX =    0.0001              !
! A2    A(2,1,4)              101.8302         -DE/DX =    0.0002              !
! A3    A(3,1,4)              101.8302         -DE/DX =    0.0002              !
! D1    D(2,1,4,3)           -104.9443         -DE/DX =   -0.0001              !
--------------------------------------------------------------------------------
GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad

JSmol image and link

File:BL1718 NF3.LOG
NF3

Bond distance and bond angle

Bond distance: 1.38404Å Bond angle: 101.830 degree

Vibration table

wavenumber/cm-1 482 482 644 930 930 1062
symmetry E E A1 E E A1
intensity 1 1 3 208 208 40

NBO charge

NBO charges: the F atom is more electronegative than N atom so i would expect there is a positive charge on the central N atom and a negative charge on each F atom. The result shows that there is a charge of 0.660 on the central N atom and a charge of -0.220 on the F atoms.

Molecular modeling

Image
Energy -1.23341au -0.57102au -0.42224au -0.35162au 0.01947au
Explanation The two 2s orbitals of two F atoms overlap with each other and are anti-bonding with the other 2s orbital of the third F atom. All three 2p orbitals overlap in phase with each other forming a bonding orbital. All three 2p orbitals are 180 degrees out of phase forming an anti-bonding orbital. This is the HOMO of NF3 molecule. This is the LOMO of NF3 molecule.


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 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. Additionally the umbrella mode is the one at 1090cm-1 and not at 3461cm-1.

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!

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

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 should have commented on the computed modes (degeneracy, how many modes you expected, how may bands will be seen in an experimental spectrum....) You missed to comment on the MOs being occupied/unoccupied. You missed to give the contributing AOs for the HOMO and LUMO and to state if they are bonding/anti-bonding or non-bonding. The first and third orbitals are not an anti-bonding orbitals. A node does not necessarily mean the MO is an anti-bonding one.

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.