Bond
Lengths of the Transition State:
Minimum Energy of the Transition State:
Energy = -113.0501
Energy Graph of the Transition State:
Calculated Energies: 1 Hartee =
627.51 kcal/mol)
Carbene = -113.1463 Hartrees
Formaldehyde = -113.2218 Hartrees
Transition State = -113.0501 Hartrees
Activation Energies (Ea)
Carbene to Intermediate:
E
a = -113.0501H - -113.1463H = .0962H or 60.366kcal/mol
Formaldehyde to Intermediate:
E
a = -113.0501H - -113.2218H = .1717H or 107.743kcal/mol
Formaldehyde to Carbene:
E
a= -113.1463H - -113.2218H = .0755H or 47.377kcal/mol
Conclusion:
After reviewing the data collected and the determined
calculations the activiation energies from carbene to the intermediate
was determined to be .0962H, from formaldehyde to the intermediate
which is the reverse reaction was determined to be .1717H and from the
formaldehyde to the carbene was .0755H. All of the determined
activiation energies correspond to what is needed for carbene to the
formation of formaldehyde. The results also show that formaldehyde is
more stable which means it will also be the more favored in this
overall reaction.
The formadehyde is more stable because all of the molecules have
completed octets and there are no formal charges. The carbene molecule
has higher energy because it has resonance structures which could
either be in the cis or trans formation. These structures would contain
double bonds which means the carbene has higher energy and is less
stable.
The intermediate energy which should have the highest energy because of
the violation of hydrogen's octet rule. In this structure hydrogen is
forced to break the bond with oxygen and form a bond with carbon. When
this process occurs it forms a highly strained ring and partial charges
are formed on the oxygen. This now means at the saddle point of the
intermediate it is the most unstable and has the highest amount of
energy.
The overall results show that formaldehyde has the lowest energy and
most stable versus the intermediate which has the highest energy and is
the most unstable. The GAMESS program allowed for the analysis of this
overall reaction and to determine the different energies for each step
in the reaction. These results allowed for the analysis and
determination on the different stabilities of the molecules involved in
the overall reaction.