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

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-193.181408
Energy at 298.15K 
HF Energy-193.181408
Nuclear repulsion energy148.393734
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/6-31G
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 3318 3171 0.00      
2 A1 3306 3160 11.02      
3 A1 3271 3127 1.38      
4 A1 1607 1536 0.33      
5 A1 1481 1416 0.85      
6 A1 1170 1119 0.03      
7 A1 1113 1064 10.06      
8 A1 1067 1020 11.93      
9 A1 870 831 0.28      
10 A2 944 903 0.00      
11 A2 841 804 0.00      
12 A2 538 514 0.00      
13 B1 918 878 8.85      
14 B1 755 722 0.25      
15 B1 703 672 124.47      
16 B1 508 486 12.55      
17 B2 3288 3143 15.55      
18 B2 3272 3128 7.05      
19 B2 1427 1364 45.81      
20 B2 1337 1278 0.00      
21 B2 1239 1184 1.27      
22 B2 993 949 0.62      
23 B2 944 903 1.89      
24 B2 66i 63i 3.31      

Unscaled Zero Point Vibrational Energy (zpe) 17421.7 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 16653.4 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/6-31G
ABC
0.30793 0.28295 0.14746

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 2.163 0.716
H8 0.000 1.337 -1.867
H9 0.000 -1.337 -1.867
H10 0.000 -2.163 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40222.33582.33581.40221.07972.22203.37003.37002.2220
C21.40221.47182.28962.25742.22001.08262.27113.34553.3069
C32.33581.47181.36272.28963.38322.27261.08072.19333.3254
C42.33582.28961.36271.47183.38323.32542.19331.08072.2726
C51.40222.25742.28961.47182.22003.30693.34552.27111.0826
H61.07972.22003.38323.38322.22002.68434.38214.38212.6843
H72.22201.08262.27263.32543.30692.68432.71194.34924.3251
H83.37002.27111.08072.19333.34554.38212.71192.67314.3492
H93.37003.34552.19331.08072.27114.38214.34922.67312.7119
H102.22203.30693.32542.27261.08262.68434.32514.34922.7119

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 108.701 C1 C2 H7 126.333
C1 C5 C4 108.701 C1 C5 H10 126.333
C2 C1 C5 107.208 C2 C1 H6 126.396
C2 C3 C4 107.695 C2 C3 H8 124.984
C3 C2 H7 124.966 C3 C4 C5 107.695
C3 C4 H9 127.321 C4 C3 H8 127.321
C4 C5 H10 124.966 C5 C1 H6 126.396
C5 C4 H9 124.984
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.189      
2 C -0.162      
3 C -0.181      
4 C -0.181      
5 C -0.162      
6 H 0.172      
7 H 0.178      
8 H 0.174      
9 H 0.174      
10 H 0.178      


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 0.034 0.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.854 0.000 0.000
y 0.000 -25.115 0.000
z 0.000 0.000 -27.081
Traceless
 xyz
x -6.755 0.000 0.000
y 0.000 4.852 0.000
z 0.000 0.000 1.904
Polar
3z2-r23.807
x2-y2-7.738
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.471 0.000 0.000
y 0.000 8.614 0.000
z 0.000 0.000 7.647


<r2> (average value of r2) Å2
<r2> 87.886
(<r2>)1/2 9.375