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

using model chemistry: PBE1PBE/3-21G

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/3-21G
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/3-21G
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/3-21G
 hartrees
Energy at 0K-192.160347
Energy at 298.15K 
HF Energy-192.160347
Nuclear repulsion energy148.219878
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/3-21G
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 3309 3178 0.03      
2 A1 3296 3166 4.17      
3 A1 3264 3135 0.89      
4 A1 1582 1520 0.71      
5 A1 1445 1388 0.25      
6 A1 1167 1121 0.14      
7 A1 1099 1056 11.75      
8 A1 1036 995 10.38      
9 A1 881 846 0.22      
10 A2 942 905 0.00      
11 A2 826 794 0.00      
12 A2 537 516 0.00      
13 B1 912 876 9.49      
14 B1 747 717 1.62      
15 B1 696 669 139.70      
16 B1 508 488 15.31      
17 B2 3279 3149 6.77      
18 B2 3265 3135 4.12      
19 B2 1406 1350 48.23      
20 B2 1330 1277 0.00      
21 B2 1233 1185 1.10      
22 B2 978 939 1.70      
23 B2 925 888 0.76      
24 B2 39i 38i 4.21      

Unscaled Zero Point Vibrational Energy (zpe) 17312.0 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 16626.5 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/3-21G
ABC
0.30767 0.28160 0.14703

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.227
C2 0.000 1.130 0.398
C3 0.000 0.680 -1.012
C4 0.000 -0.680 -1.012
C5 0.000 -1.130 0.398
H6 0.000 0.000 2.306
H7 0.000 2.163 0.718
H8 0.000 1.336 -1.869
H9 0.000 -1.336 -1.869
H10 0.000 -2.163 0.718

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40232.33982.33981.40231.07862.22203.37213.37212.2220
C21.40231.47932.29412.26082.21801.08132.27573.34963.3090
C32.33981.47931.35992.29413.38642.27861.07952.19073.3279
C42.33982.29411.35991.47933.38643.32792.19071.07952.2786
C51.40232.26082.29411.47932.21803.30903.34962.27571.0813
H61.07862.21803.38643.38642.21802.68304.38334.38332.6830
H72.22201.08132.27863.32793.30902.68302.71634.35164.3259
H83.37212.27571.07952.19073.34964.38332.71632.67194.3516
H93.37213.34962.19071.07952.27574.38334.35162.67192.7163
H102.22203.30903.32792.27861.08132.68304.32594.35162.7163

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 108.553 C1 C2 H7 126.454
C1 C5 C4 108.553 C1 C5 H10 126.454
C2 C1 C5 107.439 C2 C1 H6 126.280
C2 C3 C4 107.728 C2 C3 H8 124.851
C3 C2 H7 124.994 C3 C4 C5 107.728
C3 C4 H9 127.421 C4 C3 H8 127.421
C4 C5 H10 124.994 C5 C1 H6 126.280
C5 C4 H9 124.851
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.252      
2 C -0.196      
3 C -0.232      
4 C -0.232      
5 C -0.196      
6 H 0.217      
7 H 0.226      
8 H 0.220      
9 H 0.220      
10 H 0.226      


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 0.043 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.782 0.000 0.000
y 0.000 -24.840 0.000
z 0.000 0.000 -26.752
Traceless
 xyz
x -7.986 0.000 0.000
y 0.000 5.427 0.000
z 0.000 0.000 2.559
Polar
3z2-r25.119
x2-y2-8.942
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.031 0.000 0.000
y 0.000 8.255 0.000
z 0.000 0.000 7.332


<r2> (average value of r2) Å2
<r2> 88.130
(<r2>)1/2 9.388