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

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-193.209219
Energy at 298.15K 
HF Energy-193.209219
Nuclear repulsion energy147.915742
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 PBEPBE/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 3199 3156 0.11      
2 A1 3192 3148 9.74      
3 A1 3155 3112 1.82      
4 A1 1546 1525 0.02      
5 A1 1432 1413 2.47      
6 A1 1121 1105 0.01      
7 A1 1064 1049 7.43      
8 A1 1027 1013 11.08      
9 A1 815 804 0.30      
10 A2 860 848 0.00      
11 A2 795 784 0.00      
12 A2 508 501 0.00      
13 B1 845 833 5.32      
14 B1 693 683 6.33      
15 B1 659 650 68.23      
16 B1 470 463 10.39      
17 B2 3174 3131 14.01      
18 B2 3156 3113 11.25      
19 B2 1370 1352 36.62      
20 B2 1256 1239 0.00      
21 B2 1189 1173 2.09      
22 B2 961 948 0.20      
23 B2 903 890 3.09      
24 B2 79i 78i 7.98      

Unscaled Zero Point Vibrational Energy (zpe) 16655.8 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 16427.6 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 PBEPBE/6-31G**
ABC
0.30658 0.28103 0.14663

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 2.321
H7 0.000 2.172 0.719
H8 0.000 1.346 -1.876
H9 0.000 -1.346 -1.876
H10 0.000 -2.172 0.719

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40572.34412.34411.40571.08892.23163.38723.38722.2316
C21.40571.47262.29342.25752.23301.09252.28083.35863.3165
C32.34411.47261.36922.29343.40042.28051.09012.20793.3389
C42.34412.29341.36921.47263.40043.33892.20791.09012.2805
C51.40572.25752.29341.47262.23303.31653.35862.28081.0925
H61.08892.23303.40043.40042.23302.69884.40774.40772.6988
H72.23161.09252.28053.33893.31652.69882.72334.37174.3437
H83.38722.28081.09012.20793.35864.40772.72332.69254.3717
H93.38723.35862.20791.09012.28084.40774.37172.69252.7233
H102.23163.31653.33892.28051.09252.69884.34374.37172.7233

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 109.033 C1 C2 H7 126.121
C1 C5 C4 109.033 C1 C5 H10 126.121
C2 C1 C5 106.828 C2 C1 H6 126.586
C2 C3 C4 107.553 C2 C3 H8 125.078
C3 C2 H7 124.846 C3 C4 C5 107.553
C3 C4 H9 127.369 C4 C3 H8 127.369
C4 C5 H10 124.846 C5 C1 H6 126.586
C5 C4 H9 125.078
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.114      
2 C -0.087      
3 C -0.107      
4 C -0.107      
5 C -0.087      
6 H 0.095      
7 H 0.105      
8 H 0.098      
9 H 0.098      
10 H 0.105      


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 0.058 0.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.298 0.000 0.000
y 0.000 -25.386 0.000
z 0.000 0.000 -27.115
Traceless
 xyz
x -6.047 0.000 0.000
y 0.000 4.320 0.000
z 0.000 0.000 1.727
Polar
3z2-r23.454
x2-y2-6.911
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.810 0.000 0.000
y 0.000 8.960 0.000
z 0.000 0.000 8.208


<r2> (average value of r2) Å2
<r2> 88.296
(<r2>)1/2 9.397