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Rep:Mod:00636773PhysResults

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This page contains the results and proofs of convergence for the page Mod:00636773Phys.

The Cope Rearrangement

Optimising the Reactants and Products

a)

Property: 1,5-Hexadiene anti2:
File type: .log
Calculation type: FOPT
Calculation method: RHF
Basis set: 3-21G
Final energy: -231.69253530 a.u.
Gradient: 0.00000422 a.u.
Dipole moment: 0.0000 Debye
Point group: C1
Calculation time: 0:12.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000060     0.000450     YES
 RMS     Force            0.000010     0.000300     YES
 Maximum Displacement     0.000488     0.001800     YES
 RMS     Displacement     0.000171     0.001200     YES
 Predicted change in Energy=-2.036954D-08
 Optimization completed.
    -- Stationary point found.

b)

Property: 1,5-Hexadiene gauche5:
File type: .log
Calculation type: FOPT
Calculation method: RHF
Basis set: 3-21G
Final energy: -231.68961573 a.u.
Gradient: 0.00000942 a.u.
Dipole moment: 0.4433 Debye
Point group: C1
Calculation time: 0:25.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000020     0.000450     YES
 RMS     Force            0.000006     0.000300     YES
 Maximum Displacement     0.001781     0.001800     YES
 RMS     Displacement     0.000612     0.001200     YES
 Predicted change in Energy=-3.730610D-08
 Optimization completed.
    -- Stationary point found.

c)

Property: 1,5-Hexadiene gauche3:
File type: .log
Calculation type: FOPT
Calculation method: RHF
Basis set: 3-21G
Final energy: -231.69266121 a.u.
Gradient: 0.00000874 a.u.
Dipole moment: 0.3403 Debye
Point group: C1
Calculation time: 0:14.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000024     0.000450     YES
 RMS     Force            0.000006     0.000300     YES
 Maximum Displacement     0.001187     0.001800     YES
 RMS     Displacement     0.000430     0.001200     YES
 Predicted change in Energy=-1.673403D-08
 Optimization completed.
    -- Stationary point found.

d)

e)

f)

Property: 1,5-Hexadiene anti2:
File type: .log
Calculation type: FOPT
Calculation method: RB3LYP
Basis set: 6-31G(d)
Final energy: -234.61171035 a.u.
Gradient: 0.00001358 a.u.
Dipole moment: 0.0000 Debye
Point group: C1
Calculation time: 1:09.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000016     0.000450     YES
 RMS     Force            0.000007     0.000300     YES
 Maximum Displacement     0.000261     0.001800     YES
 RMS     Displacement     0.000089     0.001200     YES
 Predicted change in Energy=-1.678500D-08
 Optimization completed.
    -- Stationary point found.

g)

Property: 1,5-Hexadiene anti2:
File type: .log
Calculation type: FREQ
Calculation method: RB3LYP
Basis set: 6-31G(d)
Final energy: -234.61171035 a.u.
Gradient: 0.00001349 a.u.
Dipole moment: 0.0000 Debye
Point group: C1
Calculation time: 1:14.0
Low frequencies ---   -9.4888   -0.0004    0.0002    0.0005    3.7504   13.0077
 Low frequencies ---   74.2851   80.9987  121.4166

Item               Value     Threshold  Converged?
 Maximum Force            0.000035     0.000450     YES
 RMS     Force            0.000013     0.000300     YES
 Maximum Displacement     0.000283     0.001800     YES
 RMS     Displacement     0.000118     0.001200     YES
 Predicted change in Energy=-1.589925D-08
 Optimization completed.
    -- Stationary point found.

Optimising the "Chair" and "Boat" Transition Structures

a)

Property: Allyl:
File type: .log
Calculation type: FOPT
Calculation method: UHF
Basis set: 3-21G
Final energy: -115.82304010 a.u.
Gradient: 0.00002061 a.u.
Dipole moment: 0.0292 Debye
Point group: C1
Calculation time: 0:15.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000041     0.000450     YES
 RMS     Force            0.000012     0.000300     YES
 Maximum Displacement     0.000133     0.001800     YES
 RMS     Displacement     0.000055     0.001200     YES
 Predicted change in Energy=-6.723108D-09
 Optimization completed.
    -- Stationary point found.

b)

Property: Cope Transition 1 Opt: Cope Transition 1 Freq:
File type: .log .log
Calculation type: FTS FREQ
Calculation method: RHF RHF
Basis set: 3-21G 3-21G
Final energy: -231.61932244 -231.61932244
Gradient: 0.00001717 a.u. 0.00001717 a.u.
Dipole moment: 0.0005 Debye 0.0005 Debye
Point group: C1 C1
Calculation time: 0:32.0 0:05.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000047     0.000450     YES
 RMS     Force            0.000013     0.000300     YES
 Maximum Displacement     0.001192     0.001800     YES
 RMS     Displacement     0.000292     0.001200     YES
 Predicted change in Energy=-4.873471D-08
 Optimization completed.
    -- Stationary point found.
Low frequencies --- -817.9155   -1.2634   -0.0008   -0.0008   -0.0007    0.8487
 Low frequencies ---    2.5901  209.5368  395.9964

Item               Value     Threshold  Converged?
 Maximum Force            0.000049     0.000450     YES
 RMS     Force            0.000012     0.000300     YES
 Maximum Displacement     0.000775     0.001800     YES
 RMS     Displacement     0.000144     0.001200     YES
 Predicted change in Energy=-3.998518D-08
 Optimization completed.
    -- Stationary point found.

c)

Property: Cope Transition 2 Frozen:
Attempt: 1 2
File type: .log .log
Calculation type: FOPT FOPT
Calculation method: RHF RHF
Basis set: 3-21G 3-21G
Final energy: -231.61402414 a.u. -231.61517051 a.u.
Gradient: 0.00433892 a.u. 0.00327275 a.u.
Dipole moment: 0.0007 Debye 0.0002 Debye
Point group: C1 C1
Calculation time: 0:22.0 0:25.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000064     0.000450     YES
 RMS     Force            0.000016     0.000300     YES
 Maximum Displacement     0.001097     0.001800     YES
 RMS     Displacement     0.000215     0.001200     YES
 Predicted change in Energy=-1.050147D-07
 Optimization completed.
    -- Stationary point found.
Item               Value     Threshold  Converged?
 Maximum Force            0.000093     0.000450     YES
 RMS     Force            0.000021     0.000300     YES
 Maximum Displacement     0.001292     0.001800     YES
 RMS     Displacement     0.000256     0.001200     YES
 Predicted change in Energy=-2.051142D-07
 Optimization completed.
    -- Stationary point found.

d)

Property: Cope Transition 2 Derivative:
Attempt: 1 2 Freq. Analysis
File type: .log .log .log
Calculation type: FTS FTS FREQ
Calculation method: RHF RHF RHF
Basis set: 3-21G 3-21G 3-21G
Final energy: -231.61932239 a.u. -231.61932233 a.u. -231.61932197 a.u.
Gradient: 0.00002186 a.u. 0.00002118 a.u. 0.00010669 a.u.
Dipole moment: 0.0005 Debye 0.0001 Debye 0.0005 Debye
Point group: C1 C1 C1
Calculation time: 0:14.0 0:14.0 0:07.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000060     0.000450     YES
 RMS     Force            0.000013     0.000300     YES
 Maximum Displacement     0.000661     0.001800     YES
 RMS     Displacement     0.000238     0.001200     YES
 Predicted change in Energy=-8.062778D-08
 Optimization completed.
    -- Stationary point found.
Item               Value     Threshold  Converged?
 Maximum Force            0.000073     0.000450     YES
 RMS     Force            0.000020     0.000300     YES
 Maximum Displacement     0.001609     0.001800     YES
 RMS     Displacement     0.000412     0.001200     YES
 Predicted change in Energy=-1.699318D-07
 Optimization completed.
    -- Stationary point found.
Low frequencies --- -817.9855  -10.0501   -5.3819   -0.0006   -0.0005    0.0008
 Low frequencies ---    7.3345  209.6300  396.8543

Item               Value     Threshold  Converged?
 Maximum Force            0.000073     0.000450     YES
 RMS     Force            0.000020     0.000300     YES
 Maximum Displacement     0.001310     0.001800     YES
 RMS     Displacement     0.000335     0.001200     YES
 Predicted change in Energy=-1.562620D-07
 Optimization completed.
    -- Stationary point found.

e)

Property: QST2 Failed Chair Transition State: QST2 Boat Transition State: QST3 Boat Transition State:
File type: .log .log .log
Calculation type: FREQ FREQ FREQ
Calculation method: RHF RHF RHF
Basis set: 3-21G 3-21G 3-21G
Final energy: -231.61932241 a.u. -231.60280243 a.u. -231.60280235 a.u.
Gradient: 0.00001535 a.u. 0.00001535 a.u. 0.00002808 a.u.
Dipole moment: 0.0003 Debye 0.1585 Debye 0.1584 Debye
Point group: C1 C1 C1
Calculation time: 0:06.0 0:05.0 0:14.0


Failed Boat Structure:

Low frequencies --- -817.9628   -4.2607   -1.5164   -0.0005   -0.0005    0.0003
 Low frequencies ---    3.1237  209.5576  396.1571

Item               Value     Threshold  Converged?
 Maximum Force            0.000045     0.000450     YES
 RMS     Force            0.000013     0.000300     YES
 Maximum Displacement     0.001225     0.001800     YES
 RMS     Displacement     0.000325     0.001200     YES
 Predicted change in Energy=-7.318259D-08
 Optimization completed.
    -- Stationary point found.

QST2 Boat Structure:

Low frequencies --- -840.1795   -3.1626   -1.3915   -0.0006   -0.0003   -0.0002
 Low frequencies ---    2.5397  155.2565  382.1701

Item               Value     Threshold  Converged?
 Maximum Force            0.000039     0.000450     YES
 RMS     Force            0.000009     0.000300     YES
 Maximum Displacement     0.001776     0.001800     YES
 RMS     Displacement     0.000582     0.001200     YES
 Predicted change in Energy=-7.753907D-08
 Optimization completed.
    -- Stationary point found.

QST3 Boat Structure:

Low frequencies --- -840.0966   -3.8914   -2.5794   -0.0006   -0.0003    0.0002
 Low frequencies ---    3.8837  155.2499  382.1393

Item               Value     Threshold  Converged?
 Maximum Force            0.000049     0.000450     YES
 RMS     Force            0.000015     0.000300     YES
 Maximum Displacement     0.002429     0.001800     NO 
 RMS     Displacement     0.000615     0.001200     YES
 Predicted change in Energy=-1.408108D-07

g)

Chair TS Product (6-31G*)
Property: Product Opt+Freq 3-21G: Product Opt+Freq 6-31G(d):
File type: .log .log
Calculation type: FREQ FREQ
Calculation method: RHF RB3LYP
Basis set: 3-21G 6-31G
Final energy: -231.69166702 a.u. -234.61068812 a.u.
Gradient: 0.00000475 a.u. 0.00003740 a.u.
Dipole moment: 0.3806 Debye 0.4389 Debye
Point group: C2 C2
Calculation time: 0:06.0 0:44.0


Failed Boat Structure:

Low frequencies ---   -1.3111   -0.8745   -0.0044    0.0010    0.0090    1.4002
 Low frequencies ---   63.6548   98.2279  113.3916

Item               Value     Threshold  Converged?
 Maximum Force            0.000010     0.000450     YES
 RMS     Force            0.000003     0.000300     YES
 Maximum Displacement     0.000167     0.001800     YES
 RMS     Displacement     0.000049     0.001200     YES
 Predicted change in Energy=-2.174376D-09
 Optimization completed.
    -- Stationary point found.

QST2 Boat Structure:

Low frequencies ---  -13.9681  -13.3626  -11.1079   -0.0001    0.0008    0.0008
 Low frequencies ---   64.4835   99.7821  104.0322

Item               Value     Threshold  Converged?
 Maximum Force            0.000069     0.000450     YES
 RMS     Force            0.000020     0.000300     YES
 Maximum Displacement     0.001471     0.001800     YES
 RMS     Displacement     0.000441     0.001200     YES
 Predicted change in Energy=-7.108075D-08
 Optimization completed.
    -- Stationary point found.

The Diels Alder Cycloaddition

Exercise

i)

Property: cis-Butadiene: Ethylene:
File type: .log .log
Calculation type: FREQ FREQ
Calculation method: RAM1 RAM1
Basis set: ZDO ZDO
Final energy: 0.04879717 a.u. 0.02619024 a.u.
Gradient: 0.00000092 a.u. 0.00000153 a.u.
Dipole moment: 0.0341 Debye 0.0000 Debye
Point group: CS C2H
Calculation time: 0:02.0 0:02.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000002     0.000015     YES
 RMS     Force            0.000001     0.0000010    YES
 Maximum Displacement     0.000030     0.000060     YES
 RMS     Displacement     0.000010     0.000040     YES
 Predicted change in Energy=-3.223551D-11
 Optimization completed.
    -- Stationary point found.
Item               Value     Threshold  Converged?
 Maximum Force            0.000003     0.000015     YES
 RMS     Force            0.000001     0.0000010    YES
 Maximum Displacement     0.000008     0.000060     YES
 RMS     Displacement     0.000005     0.000040     YES
 Predicted change in Energy=-4.723151D-11
 Optimization completed.
    -- Stationary point found.

ii)

Property: Transition State: Product:
File type: .log .log
Calculation type: FREQ FOPT
Calculation method: RAM1 RAM1
Basis set: ZDO ZDO
Final energy: 0.11165465 a.u. -0.01099616 a.u.
Gradient: 0.00000134 a.u. 0.00000158 a.u.
Dipole moment: 0.5605 Debye 0.5605 Debye
Point group: C1 C1
Calculation time: 0:02.0 0:20.0
Item               Value     Threshold  Converged?
 Maximum Force            0.000003     0.000015     YES
 RMS     Force            0.000001     0.000010     YES
 Maximum Displacement     0.000039     0.000060     YES
 RMS     Displacement     0.000011     0.000040     YES
 Predicted change in Energy=-9.687915D-11
 Optimization completed.
    -- Stationary point found.
Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000450     YES
 RMS     Force            0.000002     0.000300     YES
 Maximum Displacement     0.000097     0.001800     YES
 RMS     Displacement     0.000030     0.001200     YES
 Predicted change in Energy=-1.698401D-10
 Optimization completed.
    -- Stationary point found.

iii)

Property: Cyclohexa-1,3-diene: Maleic Anhydride: Exo Transition: Endo Transition: Exo Product: Endo Product:
File type: .log .log .log .log .log .log
Calculation type: FREQ FREQ FREQ FREQ FREQ FREQ
Calculation method: RAM1 RAM1 RAM1 RAM1 RAM1 RAM1
Basis set: ZDO ZDO ZDO ZDO ZDO ZDO
Final energy: 0.02771128 a.u. -0.12182424 a.u. -0.05041949 a.u. -0.05150477 a.u. -0.15990941 a.u. -0.16017085 a.u.
Gradient: 0.00000044 a.u. 0.00000332 a.u. 0.00005372 a.u. 0.00002463 a.u. 0.00000095 a.u. 0.00000053 a.u.
Dipole moment: 0.4314 Debye 0.0332 Debye 5.5643 Debye 6.1658 Debye 5.2575 Debye 5.5836 Debye
Point group: C1 C1 C1 C1 C1 C1
Calculation time: 0:03.0 0:02.0 0:02.0 0:03.0 0:03.0 0:03.0