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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
Rotational Constants (cm-1) from geometry optimized at PBEPBE/STO-3G
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-190.844723
Energy at 298.15K 
HF Energy-190.844723
Nuclear repulsion energy146.530933
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/STO-3G
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 3455 3157 0.65      
2 A1 3444 3147 14.27      
3 A1 3401 3107 0.26      
4 A1 1657 1514 1.81      
5 A1 1529 1397 0.95      
6 A1 1179 1077 0.02      
7 A1 1118 1021 2.22      
8 A1 1074 981 4.13      
9 A1 859 785 0.16      
10 A2 915 836 0.00      
11 A2 809 739 0.00      
12 A2 526 481 0.00      
13 B1 887 810 4.59      
14 B1 735 672 1.66      
15 B1 680 621 36.28      
16 B1 499 456 8.84      
17 B2 3420 3124 11.58      
18 B2 3401 3107 1.13      
19 B2 1444 1319 52.92      
20 B2 1325 1211 0.03      
21 B2 1218 1113 3.20      
22 B2 992 906 6.75      
23 B2 943 862 0.85      
24 B2 85i 77i 13.23      

Unscaled Zero Point Vibrational Energy (zpe) 17712.3 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 16182.0 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/STO-3G
ABC
0.30108 0.27550 0.14386

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.241
C2 0.000 1.140 0.401
C3 0.000 0.687 -1.022
C4 0.000 -0.687 -1.022
C5 0.000 -1.140 0.401
H6 0.000 0.000 2.339
H7 0.000 2.196 0.726
H8 0.000 1.360 -1.892
H9 0.000 -1.360 -1.892
H10 0.000 -2.196 0.726

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.41662.36472.36471.41661.09842.25603.41583.41582.2560
C21.41661.49322.31572.28092.24921.10502.30363.39293.3527
C32.36471.49321.37362.31573.43072.30961.10062.22453.3717
C42.36472.31571.37361.49323.43073.37172.22451.10062.3096
C51.41662.28092.31571.49322.24923.35273.39292.30361.1050
H61.09842.24923.43073.43072.24922.72534.44504.44502.7253
H72.25601.10502.30963.37173.35272.72532.74874.41664.3929
H83.41582.30361.10062.22453.39294.44502.74872.72064.4166
H93.41583.39292.22451.10062.30364.44504.41662.72062.7487
H102.25603.35273.37172.30961.10502.72534.39294.41662.7487

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 108.693 C1 C2 H7 126.494
C1 C5 C4 108.693 C1 C5 H10 126.494
C2 C1 C5 107.238 C2 C1 H6 126.381
C2 C3 C4 107.688 C2 C3 H8 124.582
C3 C2 H7 124.813 C3 C4 C5 107.688
C3 C4 H9 127.730 C4 C3 H8 127.730
C4 C5 H10 124.813 C5 C1 H6 126.381
C5 C4 H9 124.582
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.126      
2 C -0.049      
3 C -0.100      
4 C -0.100      
5 C -0.049      
6 H 0.082      
7 H 0.088      
8 H 0.084      
9 H 0.084      
10 H 0.088      


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 0.076 0.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.285 0.000 0.000
y 0.000 -24.364 0.000
z 0.000 0.000 -25.876
Traceless
 xyz
x -4.165 0.000 0.000
y 0.000 3.217 0.000
z 0.000 0.000 0.948
Polar
3z2-r21.897
x2-y2-4.921
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.958 0.000 0.000
y 0.000 5.717 0.000
z 0.000 0.000 4.966


<r2> (average value of r2) Å2
<r2> 88.560
(<r2>)1/2 9.411