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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31G
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-193.197104
Energy at 298.15K 
HF Energy-193.197104
Nuclear repulsion energy148.403285
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 HSEh1PBE/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 3316 3172 0.01      
2 A1 3304 3161 12.06      
3 A1 3269 3127 1.53      
4 A1 1606 1536 0.31      
5 A1 1480 1416 0.88      
6 A1 1170 1119 0.04      
7 A1 1113 1064 10.01      
8 A1 1066 1019 11.71      
9 A1 870 832 0.28      
10 A2 944 903 0.00      
11 A2 840 803 0.00      
12 A2 538 515 0.00      
13 B1 917 877 8.95      
14 B1 755 722 0.32      
15 B1 703 673 121.84      
16 B1 509 487 12.48      
17 B2 3286 3143 16.73      
18 B2 3270 3128 7.48      
19 B2 1427 1365 45.11      
20 B2 1337 1279 0.00      
21 B2 1239 1185 1.22      
22 B2 993 949 0.67      
23 B2 944 903 1.78      
24 B2 56i 54i 3.11      

Unscaled Zero Point Vibrational Energy (zpe) 17418.6 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 16662.6 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 HSEh1PBE/6-31G
ABC
0.30795 0.28300 0.14747

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 1.129 0.394
C3 0.000 0.681 -1.008
C4 0.000 -0.681 -1.008
C5 0.000 -1.129 0.394
H6 0.000 0.000 2.306
H7 0.000 2.162 0.716
H8 0.000 1.336 -1.867
H9 0.000 -1.336 -1.867
H10 0.000 -2.162 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40222.33562.33561.40221.07952.22183.36973.36972.2218
C21.40221.47172.28962.25752.21981.08252.27093.34523.3068
C32.33561.47171.36262.28963.38282.27251.08052.19303.3252
C42.33562.28961.36261.47173.38283.32522.19301.08052.2725
C51.40222.25752.28961.47172.21983.30683.34522.27091.0825
H61.07952.21983.38283.38282.21982.68404.38164.38162.6840
H72.22181.08252.27253.32523.30682.68402.71174.34884.3247
H83.36972.27091.08052.19303.34524.38162.71172.67274.3488
H93.36973.34522.19301.08052.27094.38164.34882.67272.7117
H102.22183.30683.32522.27251.08252.68404.32474.34882.7117

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 108.694 C1 C2 H7 126.334
C1 C5 C4 108.694 C1 C5 H10 126.334
C2 C1 C5 107.215 C2 C1 H6 126.392
C2 C3 C4 107.699 C2 C3 H8 124.983
C3 C2 H7 124.972 C3 C4 C5 107.699
C3 C4 H9 127.319 C4 C3 H8 127.319
C4 C5 H10 124.972 C5 C1 H6 126.392
C5 C4 H9 124.983
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.185      
2 C -0.158      
3 C -0.177      
4 C -0.177      
5 C -0.158      
6 H 0.168      
7 H 0.174      
8 H 0.170      
9 H 0.170      
10 H 0.174      


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 0.032 0.032
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.815 0.000 0.000
y 0.000 -25.147 0.000
z 0.000 0.000 -27.110
Traceless
 xyz
x -6.686 0.000 0.000
y 0.000 4.815 0.000
z 0.000 0.000 1.871
Polar
3z2-r23.743
x2-y2-7.668
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.467 0.000 0.000
y 0.000 8.623 0.000
z 0.000 0.000 7.659


<r2> (average value of r2) Å2
<r2> 87.882
(<r2>)1/2 9.375