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

using model chemistry: B3LYP/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 B3LYP/6-31G**
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/6-31G**
 hartrees
Energy at 0K-193.470567
Energy at 298.15K 
HF Energy-193.470567
Nuclear repulsion energy148.595242
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 B3LYP/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 3261 3133 0.09      
2 A1 3253 3126 12.59      
3 A1 3220 3094 1.71      
4 A1 1591 1529 0.00      
5 A1 1467 1410 2.05      
6 A1 1150 1105 0.00      
7 A1 1092 1049 8.39      
8 A1 1044 1004 8.61      
9 A1 844 811 0.29      
10 A2 906 870 0.00      
11 A2 822 789 0.00      
12 A2 529 508 0.00      
13 B1 883 849 5.83      
14 B1 723 694 1.07      
15 B1 687 661 72.04      
16 B1 493 474 9.27      
17 B2 3237 3110 17.42      
18 B2 3221 3095 10.08      
19 B2 1413 1357 36.91      
20 B2 1306 1255 0.00      
21 B2 1225 1177 1.73      
22 B2 976 938 0.51      
23 B2 925 889 2.41      
24 B2 31i 30i 4.78      

Unscaled Zero Point Vibrational Energy (zpe) 17118.3 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 16447.3 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 B3LYP/6-31G**
ABC
0.30949 0.28328 0.14790

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.226
C2 0.000 1.125 0.394
C3 0.000 0.680 -1.007
C4 0.000 -0.680 -1.007
C5 0.000 -1.125 0.394
H6 0.000 0.000 2.307
H7 0.000 2.160 0.716
H8 0.000 1.337 -1.867
H9 0.000 -1.337 -1.867
H10 0.000 -2.160 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39932.33402.33401.39931.08122.21953.36953.36952.2195
C21.39931.46952.28442.24972.21961.08432.27083.34213.3007
C32.33401.46951.35992.28443.38302.27141.08232.19243.3218
C42.33402.28441.35991.46953.38303.32182.19241.08232.2714
C51.39932.24972.28441.46952.21963.30073.34212.27081.0843
H61.08122.21963.38303.38302.21962.68284.38314.38312.6828
H72.21951.08432.27143.32183.30072.68282.71144.34744.3202
H83.36952.27081.08232.19243.34214.38312.71142.67304.3474
H93.36953.34212.19241.08232.27084.38314.34742.67302.7114
H102.21953.30073.32182.27141.08432.68284.32024.34742.7114

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 108.874 C1 C2 H7 126.206
C1 C5 C4 108.874 C1 C5 H10 126.206
C2 C1 C5 107.006 C2 C1 H6 126.497
C2 C3 C4 107.623 C2 C3 H8 125.030
C3 C2 H7 124.920 C3 C4 C5 107.623
C3 C4 H9 127.347 C4 C3 H8 127.347
C4 C5 H10 124.920 C5 C1 H6 126.497
C5 C4 H9 125.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.107      
2 C -0.073      
3 C -0.096      
4 C -0.096      
5 C -0.073      
6 H 0.083      
7 H 0.094      
8 H 0.086      
9 H 0.086      
10 H 0.094      


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 0.046 0.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.218 0.000 0.000
y 0.000 -25.468 0.000
z 0.000 0.000 -27.319
Traceless
 xyz
x -5.824 0.000 0.000
y 0.000 4.300 0.000
z 0.000 0.000 1.524
Polar
3z2-r23.048
x2-y2-6.750
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.759 0.000 0.000
y 0.000 8.794 0.000
z 0.000 0.000 7.945


<r2> (average value of r2) Å2
<r2> 87.696
(<r2>)1/2 9.365