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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes C2V 2B1

Conformer 1 (D5H)

Jump to S1C2
Vibrational Frequencies calculated at PBEPBEultrafine/6-31G*
Rotational Constants (cm-1) from geometry optimized at PBEPBEultrafine/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-193.201384
Energy at 298.15K 
HF Energy-193.201384
Nuclear repulsion energy147.880700
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3197 3145 0.18      
2 A1 3190 3137 12.06      
3 A1 3155 3103 1.89      
4 A1 1549 1523 0.02      
5 A1 1436 1412 2.41      
6 A1 1123 1105 0.01      
7 A1 1067 1049 7.91      
8 A1 1029 1012 10.83      
9 A1 816 803 0.29      
10 A2 855 841 0.00      
11 A2 792 779 0.00      
12 A2 509 500 0.00      
13 B1 841 827 5.62      
14 B1 691 679 8.09      
15 B1 657 646 69.61      
16 B1 470 462 10.83      
17 B2 3173 3121 18.24      
18 B2 3156 3104 11.29      
19 B2 1376 1353 36.87      
20 B2 1262 1241 0.00      
21 B2 1192 1172 2.19      
22 B2 963 948 0.24      
23 B2 906 891 2.99      
24 B2 75i 74i 7.82      

Unscaled Zero Point Vibrational Energy (zpe) 16664.9 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 16390.0 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 PBEPBEultrafine/6-31G*
ABC
0.30644 0.28094 0.14657

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.232
C2 0.000 1.129 0.394
C3 0.000 0.685 -1.010
C4 0.000 -0.685 -1.010
C5 0.000 -1.129 0.394
H6 0.000 0.000 2.322
H7 0.000 2.173 0.719
H8 0.000 1.347 -1.877
H9 0.000 -1.347 -1.877
H10 0.000 -2.173 0.719

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40592.34432.34431.40591.08992.23263.38833.38832.2326
C21.40591.47272.29362.25772.23411.09332.28153.35993.3176
C32.34431.47271.36952.29363.40172.28111.09112.20923.3399
C42.34432.29361.36951.47273.40173.33992.20921.09112.2811
C51.40592.25772.29361.47272.23413.31763.35992.28151.0933
H61.08992.23413.40173.40172.23412.70034.40984.40982.7003
H72.23261.09332.28113.33993.31762.70032.72384.37374.3457
H83.38832.28151.09112.20923.35994.40982.72382.69464.3737
H93.38833.35992.20921.09112.28154.40984.37372.69462.7238
H102.23263.31763.33992.28111.09332.70034.34574.37372.7238

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 109.035 C1 C2 H7 126.136
C1 C5 C4 109.035 C1 C5 H10 126.136
C2 C1 C5 106.826 C2 C1 H6 126.587
C2 C3 C4 107.553 C2 C3 H8 125.056
C3 C2 H7 124.830 C3 C4 C5 107.553
C3 C4 H9 127.392 C4 C3 H8 127.392
C4 C5 H10 124.830 C5 C1 H6 126.587
C5 C4 H9 125.056
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.155      
2 C -0.129      
3 C -0.148      
4 C -0.148      
5 C -0.129      
6 H 0.137      
7 H 0.147      
8 H 0.140      
9 H 0.140      
10 H 0.147      


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 0.057 0.057
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.360 0.000 0.000
y 0.000 -25.323 0.000
z 0.000 0.000 -27.060
Traceless
 xyz
x -6.169 0.000 0.000
y 0.000 4.388 0.000
z 0.000 0.000 1.781
Polar
3z2-r23.563
x2-y2-7.038
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.756 0.000 0.000
y 0.000 8.888 0.000
z 0.000 0.000 8.139


<r2> (average value of r2) Å2
<r2> 88.319
(<r2>)1/2 9.398