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

using model chemistry: M06-2X/6-311G*

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 M06-2X/6-311G*
Rotational Constants (cm-1) from geometry optimized at M06-2X/6-311G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at M06-2X/6-311G*
 hartrees
Energy at 0K-193.409529
Energy at 298.15K 
HF Energy-193.409529
Nuclear repulsion energy149.056677
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 M06-2X/6-311G*
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 3276 3276 0.42      
2 A1 3267 3267 5.89      
3 A1 3240 3240 0.57      
4 A1 1606 1606 0.00      
5 A1 1481 1481 1.74      
6 A1 1158 1158 0.02      
7 A1 1094 1094 10.48      
8 A1 1050 1050 12.03      
9 A1 848 848 0.22      
10 A2 927 927 0.00      
11 A2 836 836 0.00      
12 A2 533 533 0.00      
13 B1 901 901 7.84      
14 B1 739 739 0.11      
15 B1 698 698 124.38      
16 B1 499 499 12.92      
17 B2 3254 3254 15.74      
18 B2 3242 3242 6.69      
19 B2 1407 1407 52.83      
20 B2 1301 1301 0.05      
21 B2 1216 1216 11.31      
22 B2 970 970 0.16      
23 B2 925 925 11.97      
24 B2 369i 369i 62.46      

Unscaled Zero Point Vibrational Energy (zpe) 17049.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 17049.4 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 M06-2X/6-311G*
ABC
0.31180 0.28477 0.14884

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
C2 0.000 1.121 0.393
C3 0.000 0.677 -1.004
C4 0.000 -0.677 -1.004
C5 0.000 -1.121 0.393
H6 0.000 0.000 2.301
H7 0.000 2.154 0.716
H8 0.000 1.331 -1.864
H9 0.000 -1.331 -1.864
H10 0.000 -2.154 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39392.32682.32681.39391.07912.21233.36093.36092.2123
C21.39391.46592.27692.24142.21281.08212.26703.33263.2901
C32.32681.46591.35422.27693.37392.26671.08052.18463.3121
C42.32682.27691.35421.46593.37393.31212.18461.08052.2667
C51.39392.24142.27691.46592.21283.29013.33262.26701.0821
H61.07912.21283.37393.37392.21282.67424.37284.37282.6742
H72.21231.08212.26673.31213.29012.67422.70784.33574.3071
H83.36092.26701.08052.18463.33264.37282.70782.66214.3357
H93.36093.33262.18461.08052.26704.37284.33572.66212.7078
H102.21233.29013.31212.26671.08212.67424.30714.33572.7078

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 108.872 C1 C2 H7 126.168
C1 C5 C4 108.872 C1 C5 H10 126.168
C2 C1 C5 107.026 C2 C1 H6 126.487
C2 C3 C4 107.615 C2 C3 H8 125.136
C3 C2 H7 124.959 C3 C4 C5 107.615
C3 C4 H9 127.249 C4 C3 H8 127.249
C4 C5 H10 124.959 C5 C1 H6 126.487
C5 C4 H9 125.136
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.282      
2 C -0.184      
3 C -0.243      
4 C -0.243      
5 C -0.184      
6 H 0.220      
7 H 0.233      
8 H 0.224      
9 H 0.224      
10 H 0.233      


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 0.052 0.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.696 0.000 0.000
y 0.000 -25.349 0.000
z 0.000 0.000 -27.471
Traceless
 xyz
x -7.286 0.000 0.000
y 0.000 5.234 0.000
z 0.000 0.000 2.052
Polar
3z2-r24.103
x2-y2-8.347
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.539 0.000 0.000
y 0.000 9.152 0.000
z 0.000 0.000 8.076


<r2> (average value of r2) Å2
<r2> 87.586
(<r2>)1/2 9.359