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User:Mw4015

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Introduction

The program Gassview is used to build and analysis the information of NH3 molecules and ClF molecules. It gives all the information of molecular orbitals and vibrations which is helpful when analyzing the reactions.

NH3 molecule

general information

N-H bond distance=1.01798
H-N-H bond angle=109.47122
Calculation type: FREQ
Calculation Method: RB3LYP
Basis Set:6-31G(d,p)
E(RB3LYP):-56.55776873
RMS gradient Norm:0.00000485
Dipole moment:1.8466
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
 
                         
NH3

optimized file link File:MENGYUANWANG-NH3 OPTF POP.LOG

Vibrations

Questions

1.how many modes do you expect from the 3N-6 rule?
3*4-6=6 modes from 3N-6 rule.

2.which modes are degenerate (ie have the same energy)?
Modes 2 and 3 with frequency of 1693.95, modes 5 and 6 with frequency of 3589.82 are degenerate.


3.which modes are "bending" vibrations and which are "bond stretch" vibrations?
123 are bending, 456 are stretching.


4.which mode is highly symmetric?
4 and 1 are highly symmetric.


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

6.how many bands would you expect to see in an experimental spectrum of gaseous ammonia?
2 bands would see in an experimental-spectrum although there should be 4 peaks show on the spectrum however other 456 are symmetric and show weak signals on spectrum so only two vibrational modes change dipole moments which give high peaks.

Charge Distribution

Hydrogen:+0.375
Nitrogen:-1.125
positive charge is expected on hydrogen due to its low electronegativity, Nitrogen has high electronegativity and attract electron pairs away from hydrogen, so its negative.

N2 and H2

N2 General information

Bond length:1.092
Bond angle: 180
Calculation type:FREQ
Calculation method :RB3LYP
BasisSet:6-31G(d,p)
E(RB3LYP):-109.52359111
RMS Gradient Norm:0.02473091
Point Group: D*H
N2

optimized file link File:MENGYUANWANG N2.LOG

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

Vibrations


Only one mode shown on picture because there is no change in dipole moment.

Charge Distribution

Charge of Ns are 0 because they have same electronegativity.

H2 general information

H2
Bond length: 0.743
Bond angle:180
Calculation Type: FREQ
Calculation Method: RB3LYP
Basis Set:6-31G(d,p)
E(RB3LYP)=-1.17853930
RMS Gradient Norm=0.00012170
Point Group: D*H
H2

File link is File:MENGYUANWANG H2.LOG

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

There is no dipole moment shown on the molecule so only one value shown on picture.

Charge Distribution

Charge on both hydrogen atoms are zero due to the same electronegativity.

energy for the reaction of N2 + 3H2 -> 2NH3

E(NH3)=-56.55776873au
2*E(NH3)=-113.115537au
E(N2)=-109.52359111au
E(H2)=-1.17853930au
3*E(H2)=-3.5356179au
ΔE=2*E(NH3)-[E(N2)+3*E(H2)]=-0.0563281au=-147.89kJmol^-1
This reaction is exothermic and the energy level of NH3 is lower than the engery level of N2 and H2.
Literature value=-92.4 kJ/mol[1]The value calculated by the computer is not same as the literature value which shows that the computer is biased.


Literature value: [1]https://en.wikipedia.org/wiki/Haber_process

Project molecule: ClF

general information

bond legth:1.66434
Bond angle:180
Calculation type:FREQ
Calculation Method: RB3LYP
Basis Set: 6-31G(d,p)
E(RB3LYP):-559.94269578
RMS Gradient Norm: 0.00014211
Dipole Moment: 0.9787
Point Group: C*V
ClF

optimised file link:File:MENGYUANWANG CLF.LOG

Item table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000246     0.000450     YES
 RMS     Force            0.000246     0.000300     YES
 Maximum Displacement     0.000433     0.001800     YES
 RMS     Displacement     0.000613     0.001200     YES


Vibrations

One vibration mode is shown on picture due to linear structure and only two atoms on it, the dipole moment changes with vibration because of the difference in electronegativity.

Charge distribution

Cl has a charge of o.309
F has a charge of -0.309
F has a strong electronegativity and It is a small atom so it attract bonded pair of electrons more than Cl.
This makes F more negative and Cl becomes more positive.


MO Analysis

2s-3s σg bonding orbital

2s orbital in F and 3s orbital in Cl

Energy: -1.21864au

when 2s orbital in F forms bond with 3s in Cl the bonding energy is lower than both 2s and 3s.

2s orbital in F has a lower energy so the 2s energy in F is closer to bonding energy which contribute more with bonding.



2pz-3pz σg bonding orbital

2pz orbital in F and 3pz orbital in Cl

Energy: -0.52326 a.u.

2pz in F forms bond with 3pz in Cl the bonding energy is lower than both 2pz and 3pz.

2pz orbital in F has a lower energy so the 2pz energy in F is closer to bonding energy which contribute more with bonding.


2p-3p πu bonding orbital

2py orbital in F and 3py orbital in Cl

Energy: -0.46728 a.u.

2py in F forms bond with 3py in Cl the bonding energy is lower than both 2p7 and 3p7.

2py orbital in F has a lower energy so the 2py energy in F is closer to bonding energy which contribute more with bonding.


2p-3p σu anti-bonding orbital

2px orbital in F and 3px of Cl

Energy: -0.12121 a.u.

This molecular orbital is the LUMO (lowest unoccupied molecular orbital)

The 3p orbital of Cl has higher energy level and it is much closer to the energy level of anti-bonding orbital so Cl will have more contribution to the anti- bonding orbital.


2p-3p πg antibonding orbital

2py orbital in F and 3py orbital in Cl

Energy: -0.32847 a.u.

This molecular orbital is the HOMO (highest occupied molecular orbital)

The 3p orbital of Cl has higher energy level and it is much closer to the energy level of anti-bonding orbital.