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All results from a given calculation for C5H5 (cyclopentadienyl radical)

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D5H 2E1"
1 2 yes C2V 2B1

Conformer 1 (D5H)

Jump to S1C2
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-193.226542
Energy at 298.15K-193.230587
HF Energy-193.226542
Nuclear repulsion energy148.922896
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBE1PBE/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3290 3126 0.02      
2 A1 3266 3103 19.11      
3 A1 3249 3087 5.97      
4 A1 1537 1461 16.83      
5 A1 1416 1345 31.44      
6 A1 1161 1103 0.02      
7 A1 1081 1027 0.18      
8 A1 970 922 0.39      
9 A1 842 800 0.39      
10 A2 901 857 0.00      
11 A2 725 689 0.00      
12 A2 517 491 0.00      
13 B1 894 849 5.43      
14 B1 821 780 1.85      
15 B1 691 657 88.65      
16 B1 501 476 12.72      
17 B2 3282 3119 9.76      
18 B2 3254 3092 1.42      
19 B2 1570 1492 0.23      
20 B2 1308 1243 0.03      
21 B2 1233 1172 0.39      
22 B2 1092 1037 15.86      
23 B2 940 893 3.79      
24 B2 80 76 2.19      

Unscaled Zero Point Vibrational Energy (zpe) 17309.1 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 16448.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G*
ABC
0.31103 0.28463 0.14862

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.183
C2 0.000 1.168 0.353
C3 0.000 0.739 -0.945
C4 0.000 -0.739 -0.945
C5 0.000 -1.168 0.353
H6 0.000 0.000 2.269
H7 0.000 2.192 0.703
H8 0.000 1.356 -1.836
H9 0.000 -1.356 -1.836
H10 0.000 -2.192 0.703

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.43272.25262.25261.43271.08552.24443.30993.30992.2444
C21.43271.36732.30652.33582.24341.08272.19753.34133.3786
C32.25261.36731.47732.30653.29732.19771.08432.27653.3627
C42.25262.30651.47731.36733.29733.36272.27651.08432.1977
C51.43272.33582.30651.36732.24343.37863.34132.19751.0827
H61.08552.24343.29733.29732.24342.69404.32304.32302.6940
H72.24441.08272.19773.36273.37862.69402.67354.36364.3850
H83.30992.19751.08432.27653.34134.32302.67352.71244.3636
H93.30993.34132.27651.08432.19754.32304.36362.71242.6735
H102.24443.37863.36272.19771.08272.69404.38504.36362.6735

picture of cyclopentadienyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 107.099 C1 C2 H7 125.747
C1 C5 C4 107.099 C1 C5 H10 125.747
C2 C1 C5 109.206 C2 C1 H6 125.397
C2 C3 C4 108.298 C2 C3 H8 126.985
C3 C2 H7 127.155 C3 C4 C5 108.298
C3 C4 H9 124.717 C4 C3 H8 124.717
C4 C5 H10 127.155 C5 C1 H6 125.397
C5 C4 H9 126.985
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.147      
2 C -0.192      
3 C -0.166      
4 C -0.166      
5 C -0.192      
6 H 0.178      
7 H 0.168      
8 H 0.174      
9 H 0.174      
10 H 0.168      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.034 0.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.493 0.000 0.000
y 0.000 -26.908 0.000
z 0.000 0.000 -25.021
Traceless
 xyz
x -6.528 0.000 0.000
y 0.000 1.848 0.000
z 0.000 0.000 4.680
Polar
3z2-r29.360
x2-y2-5.584
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.727 0.000 0.000
y 0.000 7.799 0.000
z 0.000 0.000 8.666


<r2> (average value of r2) Å2
<r2> 87.273
(<r2>)1/2 9.342

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-193.226555
Energy at 298.15K 
HF Energy-193.226555
Nuclear repulsion energy148.932062
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBE1PBE/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3293 3129 0.13      
2 A1 3285 3122 9.57      
3 A1 3252 3090 1.42      
4 A1 1615 1535 0.08      
5 A1 1492 1418 1.76      
6 A1 1161 1103 0.00      
7 A1 1101 1046 9.22      
8 A1 1061 1008 9.86      
9 A1 843 801 0.30      
10 A2 909 864 0.00      
11 A2 823 782 0.00      
12 A2 529 502 0.00      
13 B1 882 838 6.73      
14 B1 723 687 0.84      
15 B1 688 654 89.60      
16 B1 490 466 11.52      
17 B2 3268 3106 16.27      
18 B2 3253 3091 8.75      
19 B2 1423 1352 42.74      
20 B2 1308 1243 0.00      
21 B2 1231 1170 1.72      
22 B2 987 938 0.10      
23 B2 934 888 2.64      
24 B2 36i 34i 3.04      

Unscaled Zero Point Vibrational Energy (zpe) 17255.8 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 16398.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G*
ABC
0.31105 0.28466 0.14864

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
C2 0.000 1.121 0.392
C3 0.000 0.678 -1.004
C4 0.000 -0.678 -1.004
C5 0.000 -1.121 0.392
H6 0.000 0.000 2.305
H7 0.000 2.157 0.714
H8 0.000 1.335 -1.865
H9 0.000 -1.335 -1.865
H10 0.000 -2.157 0.714

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39602.32812.32811.39601.08202.21673.36463.36462.2167
C21.39601.46422.27742.24272.21781.08502.26703.33583.2945
C32.32811.46421.35672.27743.37792.26681.08312.18993.3154
C42.32812.27741.35671.46423.37793.31542.18991.08312.2668
C51.39602.24272.27741.46422.21783.29453.33582.26701.0850
H61.08202.21783.37793.37792.21782.68084.37884.37882.6808
H72.21671.08502.26683.31543.29452.68082.70694.34154.3149
H83.36462.26701.08312.18993.33584.37882.70692.67024.3415
H93.36463.33582.18991.08312.26704.37884.34152.67022.7069
H102.21673.29453.31542.26681.08502.68084.31494.34152.7069

picture of cyclopentadienyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 108.946 C1 C2 H7 126.174
C1 C5 C4 108.946 C1 C5 H10 126.174
C2 C1 C5 106.886 C2 C1 H6 126.557
C2 C3 C4 107.611 C2 C3 H8 125.061
C3 C2 H7 124.879 C3 C4 C5 107.611
C3 C4 H9 127.329 C4 C3 H8 127.329
C4 C5 H10 124.879 C5 C1 H6 126.557
C5 C4 H9 125.061
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.197      
2 C -0.152      
3 C -0.181      
4 C -0.181      
5 C -0.152      
6 H 0.168      
7 H 0.177      
8 H 0.171      
9 H 0.171      
10 H 0.177      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.031 0.031
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.491 0.000 0.000
y 0.000 -25.022 0.000
z 0.000 0.000 -26.906
Traceless
 xyz
x -6.527 0.000 0.000
y 0.000 4.676 0.000
z 0.000 0.000 1.851
Polar
3z2-r23.701
x2-y2-7.469
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.727 0.000 0.000
y 0.000 8.665 0.000
z 0.000 0.000 7.797


<r2> (average value of r2) Å2
<r2> 87.263
(<r2>)1/2 9.341