return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/CEP-121G

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 B3LYP/CEP-121G
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-121G
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-31.137330
Energy at 298.15K 
HF Energy-31.137330
Nuclear repulsion energy74.541541
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 B3LYP/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3231 3149 0.00      
2 A1 3218 3136 26.54      
3 A1 3179 3098 2.33      
4 A1 1544 1505 0.04      
5 A1 1431 1394 1.55      
6 A1 1132 1104 0.19      
7 A1 1075 1048 14.10      
8 A1 1029 1003 12.13      
9 A1 845 824 0.27      
10 A2 954 930 0.00      
11 A2 843 822 0.00      
12 A2 528 514 0.00      
13 B1 930 907 10.78      
14 B1 763 743 0.34      
15 B1 704 686 138.12      
16 B1 503 490 9.25      
17 B2 3199 3117 29.50      
18 B2 3181 3099 14.59      
19 B2 1390 1354 41.19      
20 B2 1302 1269 0.01      
21 B2 1207 1176 0.88      
22 B2 957 932 0.35      
23 B2 913 890 1.97      
24 B2 75i 73i 2.06      

Unscaled Zero Point Vibrational Energy (zpe) 16990.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 16557.3 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 B3LYP/CEP-121G
ABC
0.30062 0.27621 0.14395

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.242
C2 0.000 1.144 0.400
C3 0.000 0.690 -1.021
C4 0.000 -0.690 -1.021
C5 0.000 -1.144 0.400
H6 0.000 0.000 2.325
H7 0.000 2.182 0.723
H8 0.000 1.346 -1.884
H9 0.000 -1.346 -1.884
H10 0.000 -2.182 0.723

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.42062.36592.36591.42061.08302.24273.40363.40362.2427
C21.42061.49192.31992.28812.23941.08692.29283.37903.3416
C32.36591.49191.37932.31993.41652.29541.08422.21113.3598
C42.36592.31991.37931.49193.41653.35982.21111.08422.2954
C51.42062.28812.31991.49192.23943.34163.37902.29281.0869
H61.08302.23943.41653.41652.23942.70684.41914.41912.7068
H72.24271.08692.29543.35983.34162.70682.73784.38684.3637
H83.40362.29281.08422.21113.37904.41912.73782.69244.3868
H93.40363.37902.21111.08422.29284.41914.38682.69242.7378
H102.24273.34163.35982.29541.08692.70684.36374.38682.7378

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 108.624 C1 C2 H7 126.345
C1 C5 C4 108.624 C1 C5 H10 126.345
C2 C1 C5 107.287 C2 C1 H6 126.356
C2 C3 C4 107.733 C2 C3 H8 125.001
C3 C2 H7 125.031 C3 C4 C5 107.733
C3 C4 H9 127.266 C4 C3 H8 127.266
C4 C5 H10 125.031 C5 C1 H6 126.356
C5 C4 H9 125.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.167      
2 C -0.167      
3 C -0.171      
4 C -0.171      
5 C -0.167      
6 H 0.173      
7 H 0.165      
8 H 0.170      
9 H 0.170      
10 H 0.165      


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 0.030 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.699 0.000 0.000
y 0.000 -25.690 0.000
z 0.000 0.000 -27.859
Traceless
 xyz
x -6.925 0.000 0.000
y 0.000 5.089 0.000
z 0.000 0.000 1.836
Polar
3z2-r23.672
x2-y2-8.009
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.783 0.000 0.000
y 0.000 9.566 0.000
z 0.000 0.000 8.519


<r2> (average value of r2) Å2
<r2> 74.928
(<r2>)1/2 8.656