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

using model chemistry: PBE1PBE/STO-3G

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/STO-3G
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/STO-3G
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-190.884181
Energy at 298.15K 
HF Energy-190.884181
Nuclear repulsion energy147.742461
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/STO-3G
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 3572 3150 0.72      
2 A1 3561 3141 18.15      
3 A1 3518 3103 0.24      
4 A1 1740 1535 1.75      
5 A1 1595 1407 0.62      
6 A1 1222 1078 0.02      
7 A1 1157 1020 2.17      
8 A1 1111 980 2.98      
9 A1 889 784 0.15      
10 A2 984 868 0.00      
11 A2 839 740 0.00      
12 A2 551 486 0.00      
13 B1 936 826 5.22      
14 B1 784 692 4.04      
15 B1 710 626 32.49      
16 B1 522 461 8.19      
17 B2 3535 3118 19.56      
18 B2 3518 3104 0.78      
19 B2 1495 1319 56.31      
20 B2 1375 1213 0.06      
21 B2 1256 1108 1.95      
22 B2 1016 897 6.73      
23 B2 973 858 0.81      
24 B2 28i 24i 5.22      

Unscaled Zero Point Vibrational Energy (zpe) 18415.2 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 16244.0 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 PBE1PBE/STO-3G
ABC
0.30648 0.27967 0.14623

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.231
C2 0.000 1.131 0.399
C3 0.000 0.679 -1.014
C4 0.000 -0.679 -1.014
C5 0.000 -1.131 0.399
H6 0.000 0.000 2.321
H7 0.000 2.179 0.720
H8 0.000 1.347 -1.878
H9 0.000 -1.347 -1.878
H10 0.000 -2.179 0.720

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40452.34552.34551.40451.08982.23843.38833.38832.2384
C21.40451.48402.29632.26292.23021.09622.28723.36553.3265
C32.34551.48401.35702.29633.40342.29391.09222.20193.3432
C42.34552.29631.35701.48403.40343.34322.20191.09222.2939
C51.40452.26292.29631.48402.23023.32653.36552.28721.0962
H61.08982.23023.40343.40342.23022.70394.40964.40962.7039
H72.23841.09622.29393.34323.32652.70392.72874.38034.3589
H83.38832.28721.09222.20193.36554.40962.72872.69364.3803
H93.38833.36552.20191.09222.28724.40964.38032.69362.7287
H102.23843.32653.34322.29391.09622.70394.35894.38032.7287

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 108.560 C1 C2 H7 126.612
C1 C5 C4 108.560 C1 C5 H10 126.612
C2 C1 C5 107.339 C2 C1 H6 126.330
C2 C3 C4 107.771 C2 C3 H8 124.503
C3 C2 H7 124.829 C3 C4 C5 107.771
C3 C4 H9 127.726 C4 C3 H8 127.726
C4 C5 H10 124.829 C5 C1 H6 126.330
C5 C4 H9 124.503
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.047      
3 C -0.100      
4 C -0.100      
5 C -0.047      
6 H 0.082      
7 H 0.088      
8 H 0.084      
9 H 0.084      
10 H 0.088      


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 0.043 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.227 0.000 0.000
y 0.000 -24.450 0.000
z 0.000 0.000 -26.013
Traceless
 xyz
x -3.996 0.000 0.000
y 0.000 3.170 0.000
z 0.000 0.000 0.825
Polar
3z2-r21.651
x2-y2-4.777
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.922 0.000 0.000
y 0.000 5.578 0.000
z 0.000 0.000 4.729


<r2> (average value of r2) Å2
<r2> 87.431
(<r2>)1/2 9.350