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NH3 Molecule

Basic Information

NH3 optimisation
Categories Information
Molecule NH3
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -56.55776873 a.u.
RMS Gradient 0.00000485 a.u.
Point Group C3V

Additional Information

Bond Distance and Bond Angle
Categories Information
N-H Bond Distance 1.02Å
H-N-H Bond Angle 106°

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=-5.986256D-10
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  1.018          -DE/DX =    0.0                 !
 ! R2    R(1,3)                  1.018          -DE/DX =    0.0                 !
 ! R3    R(1,4)                  1.018          -DE/DX =    0.0                 !
 ! A1    A(2,1,3)              105.7412         -DE/DX =    0.0                 !
 ! A2    A(2,1,4)              105.7412         -DE/DX =    0.0                 !
 ! A3    A(3,1,4)              105.7412         -DE/DX =    0.0                 !
 ! D1    D(2,1,4,3)           -111.8571         -DE/DX =    0.0                 !
 --------------------------------------------------------------------------------

Jmol of NH3

NH3 Molecule

Link to LOG File

NH3 LOG

Display Vibrations

NH3 Vibrations

Vibration modes
Wavenumber cm^-1 1090 1694 1694 3461 3590 3590
Symmetry A1 E E A1 E E
Intensity Arbitrary Units 145.4 13.6 13.6 1.1 0.3 0.3
Image

Answer Questions

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

- 3 x 4 - 6 = 6 modes I expected

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

- Modes with wavenumbers of 1694 cm^-1 (number 2, 3) and 3590 cm^-1 (number5, 6) have the same energy.

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

- Modes with the wavenumber of 1090 cm^-1 (number 1) and 1694 cm^-1 (number 2, 3) are "bending" vibrations and modes with the wavenumber of 3461 cm^-1 (number 4) and 3590 cm^-1 (number 5, 6)are "bond stretch" vibrations.

which mode is highly symmetric?

- Mode with the wavenumber of 3461 cm^-1 (number 4) is highly symmetric.

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

- Mode with the wavenumber of 1090 cm^-1 (number 1) is the "umbrella" mode.

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

- Two bands since only modes with the wavenumber of 1090 cm^-1 and 1694 cm^-1 have dipole change when vibrate/stretch, and since modes with same wavenumber only show one peak.

Charge Analysis

The charge of N is -1.125 and the charge of H is 0.375. N is expected to have negative charge and H is expected to have positive charge. This is because that N is more electronegative than H which pulls electric density to it and have negative charge.

N2 Molecule

Basic Information

N2 optimisation
Categories Information
Molecule N2
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -109.52412868 a.u.
RMS Gradient 0.00000365 a.u.
Point Group D∞h

Additional Information

Bond Distance and Bond Angle
Categories Information
N-N Bond Distance 1.11Å
N-N Bond Angle 180°

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000006     0.000450     YES
 RMS     Force            0.000006     0.000300     YES
 Maximum Displacement     0.000002     0.001800     YES
 RMS     Displacement     0.000003     0.001200     YES
 Predicted change in Energy=-1.248809D-11
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  1.1055         -DE/DX =    0.0                 !
 --------------------------------------------------------------------------------

Jmol of N2

N2 Molecule

Link to LOG File

N2 LOG

Display Vibrations

N2 Vibrations

Vibration modes
Wavenumber cm^-1 2457
Symmetry SGG
Intensity Arbitrary Units 0.0
Image

Charge Analysis

The charge of N is 0. N is expected to have zero charge since two atoms in the N2 molecule are same and the molecule vibrate symmetrically.

Computational and Experimental Comparison

I found (bis(2-(dicyclohexylphosphino)phenyl)(methyl)silyl)-dinitrogen-(trimethylphosphino)-cobalt structure [VEJSEL] and the two N-N distances are 1.10(5) and 1.13(1) Å. I think the difference between two values are caused by the reason that value calculated is under perfect condition which has no influence from other compounds or electrons. When N2 in this compound, CoN bond pulls part of electric density from NN bond which cause NN bond weaker and longer.

H2 Molecule

Basic Information

H2 optimisation
Categories Information
Molecule H2
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -1.17853930 a.u.
RMS Gradient 0.00012170 a.u.
Point Group D∞h

Additional Information

Bond Distance and Bond Angle
Categories Information
H-H Bond Distance 0.74Å
H-H Bond Angle 180°

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000211     0.000450     YES
 RMS     Force            0.000211     0.000300     YES
 Maximum Displacement     0.000278     0.001800     YES
 RMS     Displacement     0.000393     0.001200     YES
 Predicted change in Energy=-5.852867D-08
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  0.7431         -DE/DX =   -0.0002              !
 --------------------------------------------------------------------------------

Jmol of H2

H2 Molecule

Link to LOG File

H2 LOG

Display Vibrations

H2 Vibrations

Vibration modes
Wavenumber cm^-1 4461
Symmetry SGG
Intensity Arbitrary Units 0.0
Image

Charge Analysis

The charge of H is 0. H is expected to have zero charge since two atoms in the H2 molecule are same and the molecule vibrate symmetrically.

Computational and Experimental Comparison

I found (Dihydrogen)-(1,2-ethanediamine-N,N'-dimethyl-N,N'-bis(2-benzenethiolato))-(tri-isopropylphosphine)-ruthenium structure [BIDQUB] and the two H-H distances are 0.74(3) and 0.91(2) Å. I think the difference between two values are caused by the reason that value calculated is under perfect condition which has no influence from other compounds or electrons.When H2 in this compound, RuH bond pulls part of electric density from HH bond which cause HH bond weaker and longer.

Energy for the Reaction

E(NH3)= -56.55777 au

2*E(NH3)= 2 x (-56.55777) = -113.11554 au

E(N2)= -109.52413 au

E(H2)= -1.17854 au

3*E(H2)= 3 x (-1.17854) = -3.53562 au

ΔE=2*E(NH3)-[E(N2)+3*E(H2)]= -113.11554 - (-109.52413 - 3.53562) = -0.05579 au = -146.5 kJ/mol

-The ammonia product is more stable since this reaction is an exothermic reaction which indicated by negative ΔE value.

NF3 Molecule

Basic Information

NF3 optimisation
Categories Information
Molecule NF3
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -354.07131058 a.u.
RMS Gradient 0.00010256 a.u.
Point Group C3V

Additional Information

Bond Distance and Bond Angle
Categories Information
N-F Bond Distance 1.38Å
F-N-F Bond Angle 102°

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              !
 --------------------------------------------------------------------------------

Jmol of NF3

NF3 Molecule

Link to LOG File

NF3 LOG

Display Vibrations

NF3 Vibrations

Vibration modes
Wavenumber cm^-1 482 482 644 930 930 1062
Symmetry E E A1 E E A1
Intensity Arbitrary Units 0.5 0.5 2.8 208.1 208.1 39.9
Image

Charge Analysis

The charge of N is 0.660 and the charge of F is -0.220. F is expected to have negative charge and N is expected to have positive charge. This is because that F is more electronegative than N which pulls electric density to it and have negative charge.

NF3 MOs

NF3 MOs
MO MO1 MO2 MO3 MO4 MO5
Graph

Description:

MO1: N has a S orbital and deep in energy. It is not in the region of HOMO. S orbital here is the only one orbital so it is a nonbonding orbitals.

MO2: Here both N and F have S orbitals overlap toghther so they are bonding orbitals. They are not deep in energy and they are not HOMOs. Same as MO1, S orbital is the only type of MO present in this orbital. This MO is occupied.

MO3: In this orbital two F both have s orbital but in different phase, which means they are anti-bonding orbitals. They are not deep in energy and they are not HOMOs. Same as MO1 and MO2, S orbital takes 100 percent in all orbitals present. This MO is un occupied.

MO4: Under this condition,three F have three S orbitals; Two of the S orbitals are in the same phase and form a bonding orbital, and S orbital of another F is in anti phase and form an anti-bonding orbital with them. In this way, this MO is a mixture. Both of three orbitals are not deep in energy and they are not HOMOs. In addition, same as above, S orbital is the only type of orbital in this MO.

MO5: In this MO, P orbital is involved. N and one F (F2) have P orbitals and they are in the same phase that means they are bonding orbitals. Other two F (F1 and F3) both have S orbitals, and that two S orbitals are in the anti-phase with the P orbitals and form two anti-bonding orbitals. In this way, this MO is a mixture. In addition, this MO is not deep in energy and it is not a HOMO.

Independent work: CO2 Molecule

Basic Information

CO2 optimisation
Categories Information
Molecule CO2
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -188.58093945 a.u.
RMS Gradient 0.00001154 a.u.
Point Group D∞h

Additional Information

Bond Distance and Bond Angle
Categories Information
C-O Bond Distance 1.17Å
O-C-O Bond Angle 180°

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000024     0.000450     YES
 RMS     Force            0.000017     0.000300     YES
 Maximum Displacement     0.000021     0.001800     YES
 RMS     Displacement     0.000015     0.001200     YES
 Predicted change in Energy=-5.259645D-10
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  1.1691         -DE/DX =    0.0                 !
 ! R2    R(1,3)                  1.1691         -DE/DX =    0.0                 !
 ! A1    L(2,1,3,-2,-1)        180.0            -DE/DX =    0.0                 !
 ! A2    L(2,1,3,-3,-2)        180.0            -DE/DX =    0.0                 !
 --------------------------------------------------------------------------------

Jmol of CO2

CO2 Molecule

Link to LOG File

CO2 LOG

Display Vibrations

CO2 Vibrations

Vibration modes
Wavenumber cm^-1 640 640 1372 2436
Symmetry PIU PIU SGG SGU
Intensity Arbitrary Units 30.7 30.7 0.0 545.8
Image

Charge Analysis

The charge of C is 1.022 and the charge of O is -0.511. O is expected to have negative charge and C is expected to have positive charge. This is because that O is more electronegative than C which pulls electric density to it and have negative charge.

Marking

Note: All grades and comments are provisional and subject 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 received your grade from blackboard.

Wiki structure and presentation 1/1

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

YES - well done.

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

YES

NH3 1/1

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 - good explanations.

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 have given a bond angle of 180 for N2 and H2, there are no bond angles in diatomic molecules. Bond angles involve exactly 3 atoms.

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 1/1

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?

YES

Your choice of small molecule 3/5

Have you completed the calculation and included all relevant information?

YES

Have you added information about MOs and charges on atoms?

YES - good explanation of the charges in terms of electronegativity.

You have worked hard on your MO explanation however it is difficult to follow. You have attempted to explain the AO contributions - this would be better if you specified 1s or 2s etc not just "S". Also each MO is an entire orbital it does not contain multiple bonding and antibonding orbitals. You could phrase this idea as bonding/antibonding interactions within the MO.

Independence 1/1

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

YES - you did an extra calculation with some good analysis well done!

Do some deeper analysis on your results so far