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

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-192.136583
Energy at 298.15K 
HF Energy-192.136583
Nuclear repulsion energy147.129904
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/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 3217 3188 0.03      
2 A1 3205 3176 5.93      
3 A1 3171 3142 1.20      
4 A1 1517 1503 0.58      
5 A1 1390 1377 0.54      
6 A1 1128 1118 0.09      
7 A1 1066 1056 10.47      
8 A1 1006 997 11.57      
9 A1 851 844 0.21      
10 A2 875 867 0.00      
11 A2 787 780 0.00      
12 A2 514 509 0.00      
13 B1 857 849 7.69      
14 B1 700 693 0.28      
15 B1 661 655 123.37      
16 B1 485 480 15.57      
17 B2 3188 3159 9.06      
18 B2 3172 3143 5.25      
19 B2 1359 1347 43.32      
20 B2 1283 1272 0.00      
21 B2 1192 1181 1.36      
22 B2 958 949 1.65      
23 B2 894 886 1.05      
24 B2 73i 72i 9.20      

Unscaled Zero Point Vibrational Energy (zpe) 16701.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 16549.8 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/3-21G
ABC
0.30301 0.27766 0.14489

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.237
C2 0.000 1.138 0.400
C3 0.000 0.686 -1.019
C4 0.000 -0.686 -1.019
C5 0.000 -1.138 0.400
H6 0.000 0.000 2.323
H7 0.000 2.179 0.723
H8 0.000 1.348 -1.881
H9 0.000 -1.348 -1.881
H10 0.000 -2.179 0.723

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.41272.35732.35731.41271.08662.23843.39713.39712.2384
C21.41271.48852.31112.27642.23501.08962.29093.37453.3326
C32.35731.48851.37292.31113.41152.29351.08762.21023.3530
C42.35732.31111.37291.48853.41153.35302.21021.08762.2935
C51.41272.27642.31111.48852.23503.33263.37452.29091.0896
H61.08662.23503.41153.41152.23502.70324.41564.41562.7032
H72.23841.08962.29353.35303.33262.70322.73374.38454.3574
H83.39712.29091.08762.21023.37454.41562.73372.69684.3845
H93.39713.37452.21021.08762.29094.41564.38452.69682.7337
H102.23843.33263.35302.29351.08962.70324.35744.38452.7337

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 108.656 C1 C2 H7 126.415
C1 C5 C4 108.656 C1 C5 H10 126.415
C2 C1 C5 107.353 C2 C1 H6 126.323
C2 C3 C4 107.668 C2 C3 H8 124.840
C3 C2 H7 124.930 C3 C4 C5 107.668
C3 C4 H9 127.492 C4 C3 H8 127.492
C4 C5 H10 124.930 C5 C1 H6 126.323
C5 C4 H9 124.840
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.219      
2 C -0.176      
3 C -0.205      
4 C -0.205      
5 C -0.176      
6 H 0.192      
7 H 0.201      
8 H 0.194      
9 H 0.194      
10 H 0.201      


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 0.072 0.072
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.634 0.000 0.000
y 0.000 -25.021 0.000
z 0.000 0.000 -26.802
Traceless
 xyz
x -7.722 0.000 0.000
y 0.000 5.197 0.000
z 0.000 0.000 2.525
Polar
3z2-r25.051
x2-y2-8.613
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.083 0.000 0.000
y 0.000 8.444 0.000
z 0.000 0.000 7.643


<r2> (average value of r2) Å2
<r2> 89.187
(<r2>)1/2 9.444