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

using model chemistry: PBE1PBE/6-31+G**

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/6-31+G**
 hartrees
Energy at 0K-193.242097
Energy at 298.15K 
HF Energy-193.242097
Nuclear repulsion energy148.816330
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/6-31+G**
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 3287 3140 0.05      
2 A1 3280 3133 5.69      
3 A1 3246 3101 0.98      
4 A1 1599 1527 0.15      
5 A1 1478 1412 2.89      
6 A1 1153 1102 0.02      
7 A1 1093 1044 11.06      
8 A1 1054 1007 14.03      
9 A1 840 803 0.28      
10 A2 912 871 0.00      
11 A2 824 787 0.00      
12 A2 522 499 0.00      
13 B1 886 846 7.92      
14 B1 726 694 0.72      
15 B1 684 653 132.53      
16 B1 486 464 11.93      
17 B2 3263 3117 11.96      
18 B2 3248 3102 7.14      
19 B2 1411 1348 43.99      
20 B2 1298 1240 0.00      
21 B2 1225 1170 1.71      
22 B2 981 937 0.00      
23 B2 929 887 3.49      
24 B2 43i 41i 4.23      

Unscaled Zero Point Vibrational Energy (zpe) 17190.0 cm-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 16421.6 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/6-31+G**
ABC
0.31028 0.28442 0.14839

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.224
C2 0.000 1.123 0.392
C3 0.000 0.680 -1.004
C4 0.000 -0.680 -1.004
C5 0.000 -1.123 0.392
H6 0.000 0.000 2.306
H7 0.000 2.158 0.715
H8 0.000 1.335 -1.866
H9 0.000 -1.335 -1.866
H10 0.000 -2.158 0.715

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39772.32942.32941.39771.08172.21773.36613.36612.2177
C21.39771.46482.27992.24602.21891.08472.26813.33753.2973
C32.32941.46481.35912.27993.37882.26771.08282.19093.3180
C42.32942.27991.35911.46483.37883.31802.19091.08282.2677
C51.39772.24602.27991.46482.21893.29733.33752.26811.0847
H61.08172.21893.37883.37882.21892.68134.38024.38022.6813
H72.21771.08472.26773.31803.29732.68132.70954.34324.3169
H83.36612.26811.08282.19093.33754.38022.70952.66924.3432
H93.36613.33752.19091.08282.26814.38024.34322.66922.7095
H102.21773.29733.31802.26771.08472.68134.31694.34322.7095

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 108.913 C1 C2 H7 126.140
C1 C5 C4 108.913 C1 C5 H10 126.140
C2 C1 C5 106.929 C2 C1 H6 126.536
C2 C3 C4 107.623 C2 C3 H8 125.151
C3 C2 H7 124.947 C3 C4 C5 107.623
C3 C4 H9 127.226 C4 C3 H8 127.226
C4 C5 H10 124.947 C5 C1 H6 126.536
C5 C4 H9 125.151
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.251      
2 C -0.092      
3 C -0.191      
4 C -0.191      
5 C -0.092      
6 H 0.161      
7 H 0.165      
8 H 0.163      
9 H 0.163      
10 H 0.165      


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 0.036 0.036
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.780 0.000 0.000
y 0.000 -25.558 0.000
z 0.000 0.000 -27.732
Traceless
 xyz
x -7.136 0.000 0.000
y 0.000 5.198 0.000
z 0.000 0.000 1.937
Polar
3z2-r23.874
x2-y2-8.223
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.194 0.000 0.000
y 0.000 9.628 0.000
z 0.000 0.000 8.811


<r2> (average value of r2) Å2
<r2> 87.917
(<r2>)1/2 9.376