Jump to content

Year 2 Computational Labs Eleonora

From ChemWiki

Year 2 Inorganic Computational Lab

BH3

Calculation method = RB3LYP

Basis = 6-31G(d.p)

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:EMG_BH3_FREQ_MOS.log

 Low frequencies ---   -2.2126   -1.0751   -0.0054    2.2359   10.2633   10.3194
 Low frequencies --- 1162.9860 1213.1757 1213.1784 

Jmol image from frequency file

optimised BH3 molecule

Smf115 (talk) 22:48, 16 May 2018 (BST)Well presented wiki report and structure information throughout.

Vibrational spectrum for BH3

wavenumber (cm-1) Intensity (arbitrary units) symmetry IR active? type
1163 93 A2" yes out-of-plane bend
1213 14 E' very slight bend
1213 14 E' very slight bend
2582 0 A1' no symmetric stretch
2715 126 E' yes asymmetric stretch
2715 126 E' yes asymmetric stretch

When comparing the IR spectrum to the IR table, it can be seen that the number of peaks do not correspond. This is due to one of the IR values originating from a symmetrical stretch, therefore making it IR inactive, and due to there being two pairs of degenerate vibrational frequencies.

MO diagram for BH3

As can be seen from the MO diagrams, the linear combination of atomic orbitals gives a rough yet accurate vision of the molecular orbitals. The volumes of the orbitals are significantly smaller than those of the MO orbitals however the positions are correct. (Reference: http://www.huntresearchgroup.org.uk/teaching/teaching_comp_lab_year2a/Tut_MO_diagram_BH3.pdf)

Smf115 (talk) 22:47, 16 May 2018 (BST)Clear inclusion of the MOs and good mention of the subtle differences between the orbitals.

NH3

Calculation method = RB3LYP

Basis = 6-31G(d.p)

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:NH3_EGM_FREQ_REDO.log

 Low frequencies ---  -30.6570  -30.6559   -0.0052    0.0121    0.0479    4.3582
 Low frequencies --- 1088.6591 1694.0274 1694.0274
 

Jmol image from your frequency file

optimised NH3 molecule

Ammonia-borane

Calculation method = RB3LYP

Basis = 6-31G(d.p)

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:nh3bh3egmfreq.log

 Low frequencies --- -183.2938  -66.8079  -66.7947   -0.0053    0.0093    0.0138
 Low frequencies ---  202.6720  660.5161  660.5187

Jmol image from your frequency file

optimised NH3BH3 molecule

Questions

E(NH3)= -56.55777 au

E(BH3)= -26.61532 au

E(NH3BH3)= -83.22469 au

Dissociation energy (ΔE) = [E(NH3)+E(BH3)]-E(NH3BH3)= 0.0516 au 0.0516 = 129 kJ/mol


Based on your energy calculation is the B-N dative bond weak, medium or strong? What comparison have you made to come to this conclusion?

If one compares C-N bond with B-N then comparatively B-N has a weaker bond (C-N has a bond dissociation of 290kJ/mol). (Reference: https://opentextbc.ca/chemistry/chapter/7-5-strengths-of-ionic-and-covalent-bonds/)

Smf115 (talk) 22:44, 16 May 2018 (BST)Correct calculation method however, an error seems to have been made converting in to kJ/mol

BBr3

Calculation method = RB3LYP

Basis = GEN

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:BBr3_pseudo_freq_egm.log

Low frequencies ---   -0.0137   -0.0064   -0.0046    2.4315    2.4315    4.8421
 Low frequencies ---  155.9631  155.9651  267.7052

jmol image from your frequency file

optimised BBr3 molecule

Vibrational spectrum for BBr3

unique identifier: DOI:10042/202303

Mini project

Benzene

Calculation method = RB3LYP

Basis = 6-31G(d.p)

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:benzene_freq_egm.log

 Low frequencies ---   -0.0087   -0.0041   -0.0040   12.5838   12.5838   16.4940
 Low frequencies ---  414.3526  414.3526  621.2606
 

jmol image from your frequency file

optimised benzene molecule

Borazine

Calculation method = RB3LYP

Basis = 6-31G(d.p)

Summary table for optimised molecule

"Item" table for optimised molecule

Link to frequency log file and low frequency lines table

Media:borazine_freq_egm.log

 Low frequencies ---  -12.6682  -12.4919   -8.6666   -0.0102   -0.0081    0.0803
 Low frequencies ---  289.1561  289.1648  404.0196 

Jmol image from your frequency file

optimised borazine molecule

Comparison of charges between Benzene and Borazine

Looking at the charge distribution of benzene, all the charges of the Carbons are identical as well as those of the Hydrogens. Carbon is slightly more electronegative than hydrogen which is why it has the negative charge. The Borazine molecule on the other hand has electronegative nitrogen atoms and electropositive boron atoms. This explains the negative charge of Nitrogen, the positive charge of Boron and the complementary charges of the H atoms.

Comparison of three of the same MOs from benzene and Borazine

MO number (benzene) MO diagram (benzene) MO number (borazine) MO diagram (borazine) Discussion
MO8 MO8 The MOs have half the molecule of one lobe and half of the other, with the middle partition being perpendicular to the plane of the molecule. As can be seen, for borazine some of the atoms are non-bonding, whereas in benzene all the orbitals are either bonding or antibonding. The MO is perfectly symmetrical for benzene due to the molecule itself being perfectly symmetrical. The atomic orbitals forming the molecular orbitals are the Px and Py ones, because when combined they form sigma orbitals in the plane of the molecule. We don't observe any change in love above and below the molecule, so this must be the case.
M11 M11 As can be seen, these two MOs are very similar. The significant differences are that the borazine molecule has the nitrogens all in one lobe, which creates the link in the centre of the molecule. The partition of the atoms in the molecules is equal for benzene whereas for borazine the majority are in one lobe. This can be explained due to the relative electronegativities and positivities of the atoms.
M17 M17 Here the two molecules have identical MOs. This is the cyclic structure of the Pz orbitals overlapping, creating the classic structure which we see when dealing with aromatic structures. The two MOs are the same due to Boron Carbon and Nitrogen all having p orbitals with electrons in them, thus creating the delocalised system (and so aromaticity, since they also follow the 4n+2 Huckel Rule).


Aromaticity

Aromaticity is a greater stability of a cyclic structure, and occurs due to a ring of delocalised electrons around the top and bottom of the cyclic structure. The delocalisation renders the structure particularly stable. Another property of aromaticity is the bond lengths within the cyclic structure being the same length, a length in-between the single and double bond lengths.

In an aromatic system there are a number of prerequisites for the presence of aromaticity. As well as the overlapping Pz atomic orbitals, the structure needs to be cycling, and have a pi bond all around the cyclic structure. The aromatic structure must also follow Huckel’s Rule. The Huckel’s rule states that there need to be 4n+2 pi electrons for a cyclic structure to be aromatic and to have that extra stability. If there are 4n electrons then the structure is anti-aromatic - so it shows particular destabilisation - and if it has neither of these values then it isn't aromatic. Lastly, all electrons occupy all the bonding MOs and leave the antibonding and non-bonding MOs unfilled.

There is also the existence of sigma aromaticity, and it appears in saturated cyclic compounds. This is applicable more to inorganic compounds rather than organic ones. The sigma orbitals mirror the symmetries of the Huckel rule with the pi orbitals, so the sigma aromaticity also follows the 4n+2 rule. In saturated cyclic compounds, there is an alternating aromatic and antiaromatic system, and this is due to the sigma aromaticity

The real MOs relate to common conceptions of aromaticity on a fundamental level. Looking at the MO17 it resembles perfectly the delocalised pi system. So aromaticity in principle only focuses on the molecular orbital in which the Pz orbitals are perfectly aligned and overlapped. The other orbitals are less relevant and less of a contributing factor to aromaticity.

(Reference: https://pubs.acs.org/doi/pdf/10.1021/jp048541o)

Smf115 (talk) 22:42, 16 May 2018 (BST)Nice discussion of the key concepts of aromaticity and mention of sigma-aromaticity. The final paragraph isn't wholly correct and it should have been noticed that MO 17 is just one MO of many which contributes towards the delocalisation.

Smf115 (talk) 22:42, 16 May 2018 (BST)Overall a good report however, some issues with missing log files throughout and discussion in the project section missed some of the key points needed.