return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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 2 yes C2V 2B1

Conformer 1 (D5H)

Jump to S1C2
Vibrational Frequencies calculated at PBE1PBE/6-31G**
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

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
(Å4/u)
Dep P Dep U
1 A1 3293 3138 0.13      
2 A1 3285 3131 9.57      
3 A1 3252 3099 1.42      
4 A1 1615 1539 0.08      
5 A1 1492 1422 1.76      
6 A1 1161 1107 0.00      
7 A1 1101 1049 9.22      
8 A1 1061 1011 9.86      
9 A1 843 804 0.30      
10 A2 909 866 0.00      
11 A2 823 784 0.00      
12 A2 529 504 0.00      
13 B1 882 840 6.73      
14 B1 723 689 0.84      
15 B1 688 656 89.60      
16 B1 490 467 11.52      
17 B2 3268 3115 16.27      
18 B2 3253 3100 8.75      
19 B2 1423 1356 42.74      
20 B2 1308 1246 0.00      
21 B2 1231 1173 1.72      
22 B2 987 940 0.10      
23 B2 934 890 2.64      
24 B2 36i 34i 3.04      

Unscaled Zero Point Vibrational Energy (zpe) 17255.8 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 16446.5 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