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BH3 Molecule

1.optimisation with 3-21G basis set

A screenshot of results of BH33 optimisation.
BH3 molecule
Molecule name BH3
B-H bond length 1.195Å
H-H bond angle 120.0°
Calculation Method RB3LYP
Basis Set 3-21G
Final energy E(RB3LYP) -26.4622371(a.u.)
Point Group CS


         Item               Value     Threshold  Converged?
 Maximum Force            0.000217     0.000450     YES
 RMS     Force            0.000105     0.000300     YES
 Maximum Displacement     0.000692     0.001800     YES
 RMS     Displacement     0.000441     0.001200     YES
 Predicted change in Energy=-1.635268D-07
 Optimization completed.
    -- Stationary point found.

2.optimisation with better basis set of 6-31GP

A screenshot of results of BH33 optimisation for symmetry
BH3 molecule
Molecule name BH3
B-H bond length 1.192Å
H-H bond angle 120.0°
Calculation Method RB3LYP
Basis Set 6-31G(d,p)
Final energy E(RB3LYP) -26.61532364(a.u.)
Point Group D3h


 
         Item               Value     Threshold  Converged?
 Maximum Force            0.000006     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000022     0.001800     YES
 RMS     Displacement     0.000015     0.001200     YES
 Predicted change in Energy=-1.859017D-10
 Optimization completed.
    -- Stationary point found.

3.frequency analysis of BH3 molecule

BH3 molecule
 
 Low frequencies ---   -2.2126   -1.0751   -0.0055    2.2359   10.2633   10.3194
 Low frequencies --- 1162.9860 1213.1757 1213.1784
 Diagonal vibrational polarizability:
        0.7180909       0.7179908       1.8414385
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                     A2"                    E'                     E'
 Frequencies --   1162.9860              1213.1757              1213.1784
 Red. masses --      1.2531                 1.1072                 1.1072
 Frc consts  --      0.9986                 0.9601                 0.9601
 IR Inten    --     92.5493                14.0546                14.0583
  Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
     1   5     0.00   0.00   0.16     0.00   0.10   0.00    -0.10   0.00   0.00
     2   1     0.00   0.00  -0.57     0.00   0.08   0.00     0.81   0.00   0.00
     3   1     0.00   0.00  -0.57    -0.39  -0.59   0.00     0.14   0.39   0.00
     4   1     0.00   0.00  -0.57     0.39  -0.59   0.00     0.14  -0.39   0.00

The file of frequency is linked to here

4. additional specific information from your BH3 molecule

wavenumber (cm-1 Intensity (arbitrary units) symmetry IR active? type
1163 93 A1 yes out-of-plane bend
1213 14 E very slight bend
1213 14 E very slight bend
2582 0 A1 no symmetric stretch
2716 126 E yes asymmetric stretch
3543 1 E yes asymmetric stretch

A screenshot of spectrum of BH3 molecule

Spectrum explanation: There are five IR-active frequencies with a change in dipole moment.The one with 2582 cm-1 is IR-inactive with no change in dipole moment, thus it does not show on the spectrum. First three peaks are shown on the left part of the spectrum and the last two are shown on the right. The peal with low intensity may due to small change in dipole moment.

Ng611 (talk) 11:27, 15 May 2019 (BST) You've explained why we don't see one peak, but what about the others?

5. MO diagram analysis of BH3 molecule

A screenshot of MO diagram of BH3 molecule

The MO diagram is shown above. The real MOs are almost the same as predicted LCAO MOs. The only difference is that the real MOs combine the same phases together, producing a cloud. Therefore, the accuracy and usefulness of qualitative MO theory can be believed.

Ammonia-Borane association energies

1.NH3 molecule analysis

A screenshot of results of NH3 optimisation for symmetry

Low frequencies ---   -8.5646   -8.5588   -0.0041    0.0455    0.1784   26.4183
 Low frequencies --- 1089.7603 1694.1865 1694.1865
 Diagonal vibrational polarizability:
        0.1276536       0.1276543       3.2977160
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                      A                      E                      E
 Frequencies --   1089.7603              1694.1865              1694.1865
 Red. masses --      1.1800                 1.0644                 1.0644
 Frc consts  --      0.8256                 1.8001                 1.8001
 IR Inten    --    145.4214                13.5548                13.5549
  Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
     1   7     0.00   0.00   0.12    -0.07   0.00   0.00     0.00   0.07   0.00
     2   1     0.00  -0.21  -0.53     0.76   0.00   0.00     0.00   0.15   0.26
     3   1     0.18   0.11  -0.53     0.08  -0.39   0.22     0.39  -0.53  -0.13
     4   1    -0.18   0.11  -0.53     0.08   0.39  -0.22    -0.39  -0.53  -0.13

Ng611 (talk) 11:28, 15 May 2019 (BST) Where are your log files and jmol images???

2.NH3BH3 molecule analysis

A screenshot of results of NH3BH3 optimisation for symmetry

Calculations of energies

E(NH3)=-56.55777(a.u.)

E(BH3)=-26.61532(a.u.)

E(NH3BH3)=-83.22469(a.u.)

ΔE=E(NH3BH3) -[E(NH3) +E(BH3)]=-0.0516(a.u.)=-135 kJ/mol

The strength of B-N dative bond is medium according to the energy of -135 kJ/mol calculated above. The dative bond is formed by the donation of Nitrogen lone pair to the vacant p-orbital of boron. The energy is compared to the bond energy of B-O bond (536 kJ/mol) since oxygen is next to N in the periodic table and B-H bond (389 kJ/mol) .

Ng611 (talk) 11:29, 15 May 2019 (BST) Cite where you got your bond enthalpy values from.

Low frequencies ---   -0.0005   -0.0002    0.0014   17.6705   28.0332   40.2175
 Low frequencies ---  266.5190  632.3638  639.4914
 Diagonal vibrational polarizability:
        2.5462308       2.5487470       5.0153318
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                      A                      A                      A
 Frequencies --    266.5159               632.3635               639.4913
 Red. masses --      1.0078                 4.9944                 1.0451
 Frc consts  --      0.0422                 1.1767                 0.2518
 IR Inten    --      0.0000                13.9812                 3.5410

NI3 Molecule

A screenshot of results of NI3 optimisation with point group of C3V
NI3 molecule

The file of frequency is linked to here Optimised N-I distance=2.184 Å




Item               Value     Threshold  Converged?
 Maximum Force            0.000029     0.000450     YES
 RMS     Force            0.000020     0.000300     YES
 Maximum Displacement     0.000228     0.001800     YES
 RMS     Displacement     0.000138     0.001200     YES
 Predicted change in Energy=-6.786309D-09
 Optimization completed.
    -- Stationary point found.


 Low frequencies ---  -12.7477  -12.7416   -6.4258   -0.0140    0.0210    0.0991
 Low frequencies ---  101.0290  101.0295  147.4197
 Diagonal vibrational polarizability:
       12.5287306      12.5312034       1.3363968
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                      E                      E                      A
 Frequencies --    101.0290               101.0295               147.4197
 Red. masses --    115.8383               115.8394               103.1309
 Frc consts  --      0.6966                 0.6966                 1.3205
 IR Inten    --      1.0183                 1.0173                 0.8959

Project section: Ionic liquids (designer solvents)

1.Analysis [N(CH3)4]+ Molecule

A screenshot of results of [N(CH3)4]+ freqeuncy.
[N(CH)] molecule

The file of frequency is linked to here



Item               Value     Threshold  Converged?
 Maximum Force            0.000020     0.000450     YES
 RMS     Force            0.000005     0.000300     YES
 Maximum Displacement     0.000673     0.001800     YES
 RMS     Displacement     0.000185     0.001200     YES
 Predicted change in Energy=-9.527444D-09
 Optimization completed.
    -- Stationary point found.
Low frequencies ---    0.0008    0.0009    0.0010   34.4140   34.4140   34.4140
 Low frequencies ---  216.5368  315.9455  315.9455
 Diagonal vibrational polarizability:
        1.3863159       1.3863159       1.3863159
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                     A2                     T1                     T1
 Frequencies --    216.5368               315.8718               315.8718
 Red. masses --      1.0078                 1.0333                 1.0333
 Frc consts  --      0.0278                 0.0607                 0.0607
 IR Inten    --      0.0000                 0.0000                 0.0000

2.Analysis [P(CH3)4]+ Molecule

A screenshot of results of [P(CH3)4]+ freqeuncy.
[P(CH)] molecule

The file of frequency is linked to here




Item               Value     Threshold  Converged?
 Maximum Force            0.000078     0.000450     YES
 RMS     Force            0.000023     0.000300     YES
 Maximum Displacement     0.000447     0.001800     YES
 RMS     Displacement     0.000145     0.001200     YES
 Predicted change in Energy=-1.691140D-07
 Optimization completed.
    -- Stationary point found.
Low frequencies ---  -22.4575  -13.2993   -0.0035   -0.0024    0.0009   22.5793
 Low frequencies ---  154.7484  184.8269  191.1732
 Diagonal vibrational polarizability:
        3.5428708       3.5467010       3.5385839
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:
                      1                      2                      3
                      A                      A                      A
 Frequencies --    154.7385               184.8015               191.1162
 Red. masses --      1.0087                 1.0257                 1.0258
 Frc consts  --      0.0142                 0.0206                 0.0221
 IR Inten    --      0.0007                 0.0005                 0.0007

3.Charge analysis of [N(CH3)4]+ and [P(CH3)4]+ Molecule

A screenshot of results of [N(CH3)4]+ charge distribution.
A screenshot of results of [P(CH3)4]+ charge distribution.
[N(CH3)4]+ Molecule
Type of element charge (C)
Nitrogen -0.295
Carbon -0.483
Hydrogen +0.269
[P(CH3)4]+ Molecule
Type of element charge (C)
phosphorous +1.668
Carbon -1.060
Hydrogen +0.298

Comparison of their charge distributions

The charge distribution is depends on the charge density on an atom which is composed of individual charge particle and are separated by regions. The charge density around an atom is related to the electronegativity of that element.

Nitrogen (Xp=3.04) is more electronegative then carbon (Xp=2.55) , thus N would pull electrons towards itself. However, carbon is a lot more electronegative than hydrogen and there are three hydrogens around it so this may be the reason carbon shows a more negative value for charge than N.

Phosphorous (Xp=2.19) is less electronegative than carbon (Xp=2.55), leading to a positive charge on P and a negative charge on C. Carbon in [P(CH3)4]+ molecule is more negative than in [N(CH3)4]+ molecule is because it is more electronegative than both H and P, pulling electrons from P and C towards itself;while in [N(CH3)4]+, some electrons of C are pulled away by N.

Ng611 (talk) 11:33, 15 May 2019 (BST) What about the effect of symmetry on charge distribution?

Analysis of charge on N in[NR4]+ molecules (R=alkyl)

The formal positive charge on N means the formal charge on it is +1 and the cation is formed by taking an electron from N according to the traditional description of this type of molecule. However, the charge value of N as shown in the table above is -0.295, which means that the positive charge is not located on N. The positive charge is actually located on the hydrogens due to the poor electronegativity (Xp=2.2), so its electron is pulled away towards N.

Ng611 (talk) 11:33, 15 May 2019 (BST) Yes but why does formal electron counting give this result? More detail is needed.

2.Analysis of [N(CH3)4]+ occupied MOs

A screenshot of MO 7 of [N(CH3)4]+:This is composed of two types of bonding orbitals of ligand which then form bonding molecular orbitals with Nitrogen p-orbital.


A screenshot of MO 10 of [N(CH3)4]+:This is the bonding orbitals of ligand overlap with Nitroggen s-orbital, forming bonding molecular orbitals through σ-bonding.

Ng611 (talk) 11:36, 15 May 2019 (BST) Your FO is incorrect for MO10. You need something more like the FO for MO7


A screenshot of HOMO of [N(CH3)4]+: This is the HOMO of this molecule. The two types of bonding ligands are from Carbon p-orbital and H s-orbitals. Then the ligand form bonding molecular orbitals with Nitrogen p-orbital in a π-character.

Ng611 (talk) 11:37, 15 May 2019 (BST) You should annotate your diagrams with the key orbital interactions.