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

using model chemistry: mPW1PW91/6-31G*

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 mPW1PW91/6-31G*
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-193.416474
Energy at 298.15K 
HF Energy-193.416474
Nuclear repulsion energy148.974016
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 mPW1PW91/6-31G*
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 3297 3126 0.11      
2 A1 3289 3119 11.12      
3 A1 3256 3088 1.46      
4 A1 1615 1532 0.05      
5 A1 1491 1414 1.76      
6 A1 1162 1102 0.00      
7 A1 1103 1046 9.35      
8 A1 1061 1006 9.61      
9 A1 845 802 0.30      
10 A2 913 865 0.00      
11 A2 824 781 0.00      
12 A2 530 502 0.00      
13 B1 884 838 6.79      
14 B1 724 687 0.44      
15 B1 690 654 90.01      
16 B1 492 467 11.40      
17 B2 3272 3103 18.42      
18 B2 3257 3089 8.92      
19 B2 1425 1352 42.12      
20 B2 1312 1245 0.00      
21 B2 1233 1170 1.58      
22 B2 986 935 0.14      
23 B2 935 887 2.49      
24 B2 36i 34i 2.63      

Unscaled Zero Point Vibrational Energy (zpe) 17279.6 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 16386.2 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 mPW1PW91/6-31G*
ABC
0.31120 0.28478 0.14870

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
C2 0.000 1.121 0.392
C3 0.000 0.678 -1.004
C4 0.000 -0.678 -1.004
C5 0.000 -1.121 0.392
H6 0.000 0.000 2.304
H7 0.000 2.156 0.714
H8 0.000 1.334 -1.864
H9 0.000 -1.334 -1.864
H10 0.000 -2.156 0.714

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39582.32772.32771.39581.08072.21553.36293.36292.2155
C21.39581.46442.27732.24272.21641.08362.26593.33443.2932
C32.32771.46441.35612.27733.37632.26581.08182.18823.3139
C42.32772.27731.35611.46443.37633.31392.18821.08182.2658
C51.39582.24272.27731.46442.21643.29323.33442.26591.0836
H61.08072.21643.37633.37632.21642.67914.37604.37602.6791
H72.21551.08362.26583.31393.29322.67912.70554.33884.3123
H83.36292.26591.08182.18823.33444.37602.70552.66804.3388
H93.36293.33442.18821.08182.26594.37604.33882.66802.7055
H102.21553.29323.31392.26581.08362.67914.31234.33882.7055

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 108.923 C1 C2 H7 126.190
C1 C5 C4 108.923 C1 C5 H10 126.190
C2 C1 C5 106.912 C2 C1 H6 126.544
C2 C3 C4 107.621 C2 C3 H8 125.053
C3 C2 H7 124.887 C3 C4 C5 107.621
C3 C4 H9 127.326 C4 C3 H8 127.326
C4 C5 H10 124.887 C5 C1 H6 126.544
C5 C4 H9 125.053
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.197      
2 C -0.151      
3 C -0.181      
4 C -0.181      
5 C -0.151      
6 H 0.167      
7 H 0.177      
8 H 0.170      
9 H 0.170      
10 H 0.177      


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 0.029 0.029
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.417 0.000 0.000
y 0.000 -24.962 0.000
z 0.000 0.000 -26.851
Traceless
 xyz
x -6.510 0.000 0.000
y 0.000 4.672 0.000
z 0.000 0.000 1.838
Polar
3z2-r23.677
x2-y2-7.455
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.723 0.000 0.000
y 0.000 8.651 0.000
z 0.000 0.000 7.778


<r2> (average value of r2) Å2
<r2> 87.183
(<r2>)1/2 9.337