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

using model chemistry: mPW1PW91/6-311G**

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 mPW1PW91/6-311G**
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-311G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-193.462377
Energy at 298.15K 
HF Energy-193.462377
Nuclear repulsion energy149.172732
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 mPW1PW91/6-311G**
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 3272 3130 0.05      
2 A1 3264 3122 8.21      
3 A1 3231 3091 1.10      
4 A1 1594 1525 0.01      
5 A1 1471 1407 1.87      
6 A1 1153 1104 0.01      
7 A1 1090 1043 9.83      
8 A1 1049 1003 12.98      
9 A1 847 811 0.30      
10 A2 918 879 0.00      
11 A2 823 788 0.00      
12 A2 527 505 0.00      
13 B1 889 851 7.53      
14 B1 726 694 0.29      
15 B1 686 656 112.30      
16 B1 490 468 12.17      
17 B2 3247 3106 15.11      
18 B2 3232 3092 7.17      
19 B2 1404 1344 44.41      
20 B2 1294 1238 0.01      
21 B2 1221 1168 1.58      
22 B2 976 933 0.01      
23 B2 927 887 3.34      
24 B2 22i 21i 4.06      

Unscaled Zero Point Vibrational Energy (zpe) 17154.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 16411.5 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 mPW1PW91/6-311G**
ABC
0.31200 0.28552 0.14909

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.221
C2 0.000 1.120 0.392
C3 0.000 0.677 -1.003
C4 0.000 -0.677 -1.003
C5 0.000 -1.120 0.392
H6 0.000 0.000 2.300
H7 0.000 2.153 0.714
H8 0.000 1.330 -1.862
H9 0.000 -1.330 -1.862
H10 0.000 -2.153 0.714

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39372.32412.32411.39371.07882.21193.35783.35782.2119
C21.39371.46332.27472.24072.21231.08192.26393.32983.2893
C32.32411.46331.35362.27473.37082.26421.07992.18353.3099
C42.32412.27471.35361.46333.37083.30992.18351.07992.2642
C51.39372.24072.27471.46332.21233.28933.32982.26391.0819
H61.07882.21233.37083.37082.21232.67394.36934.36932.6739
H72.21191.08192.26423.30993.28932.67392.70454.33274.3063
H83.35782.26391.07992.18353.32984.36932.70452.66084.3327
H93.35783.32982.18351.07992.26394.36934.33272.66082.7045
H102.21193.28933.30992.26421.08192.67394.30634.33272.7045

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 108.851 C1 C2 H7 126.177
C1 C5 C4 108.851 C1 C5 H10 126.177
C2 C1 C5 107.008 C2 C1 H6 126.496
C2 C3 C4 107.645 C2 C3 H8 125.108
C3 C2 H7 124.972 C3 C4 C5 107.645
C3 C4 H9 127.246 C4 C3 H8 127.246
C4 C5 H10 124.972 C5 C1 H6 126.496
C5 C4 H9 125.108
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.155      
2 C -0.069      
3 C -0.123      
4 C -0.123      
5 C -0.069      
6 H 0.102      
7 H 0.113      
8 H 0.106      
9 H 0.106      
10 H 0.113      


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 0.035 0.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.098 0.000 0.000
y 0.000 -25.310 0.000
z 0.000 0.000 -27.299
Traceless
 xyz
x -6.793 0.000 0.000
y 0.000 4.888 0.000
z 0.000 0.000 1.905
Polar
3z2-r23.811
x2-y2-7.788
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.641 0.000 0.000
y 0.000 9.091 0.000
z 0.000 0.000 8.208


<r2> (average value of r2) Å2
<r2> 87.306
(<r2>)1/2 9.344