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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-193.424375
Energy at 298.15K 
HF Energy-193.424375
Nuclear repulsion energy149.005632
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 3294 3134 0.11      
2 A1 3286 3127 8.97      
3 A1 3251 3094 1.46      
4 A1 1613 1534 0.05      
5 A1 1488 1416 1.80      
6 A1 1159 1103 0.00      
7 A1 1099 1046 8.98      
8 A1 1058 1007 9.90      
9 A1 844 803 0.31      
10 A2 916 871 0.00      
11 A2 826 786 0.00      
12 A2 529 503 0.00      
13 B1 887 844 6.54      
14 B1 727 691 0.25      
15 B1 691 657 86.94      
16 B1 491 468 11.02      
17 B2 3268 3110 14.15      
18 B2 3252 3095 9.33      
19 B2 1419 1351 42.10      
20 B2 1307 1243 0.00      
21 B2 1231 1171 1.51      
22 B2 983 936 0.11      
23 B2 932 887 2.59      
24 B2 39i 37i 2.71      

Unscaled Zero Point Vibrational Energy (zpe) 17255.4 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 16418.5 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 mPW1PW91/6-31G**
ABC
0.31132 0.28488 0.14876

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 2.303
H7 0.000 2.155 0.714
H8 0.000 1.333 -1.864
H9 0.000 -1.333 -1.864
H10 0.000 -2.155 0.714

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39562.32742.32741.39561.07992.21473.36203.36202.2147
C21.39561.46422.27702.24242.21551.08312.26553.33333.2924
C32.32741.46421.35592.27703.37522.26541.08112.18723.3132
C42.32742.27701.35591.46423.37523.31322.18721.08112.2654
C51.39562.24242.27701.46422.21553.29243.33332.26551.0831
H61.07992.21553.37523.37522.21552.67784.37444.37442.6778
H72.21471.08312.26543.31323.29242.67782.70544.33724.3108
H83.36202.26551.08112.18723.33334.37442.70542.66604.3372
H93.36203.33332.18721.08112.26554.37444.33722.66602.7054
H102.21473.29243.31322.26541.08312.67784.31084.33722.7054

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 108.921 C1 C2 H7 126.172
C1 C5 C4 108.921 C1 C5 H10 126.172
C2 C1 C5 106.915 C2 C1 H6 126.542
C2 C3 C4 107.621 C2 C3 H8 125.085
C3 C2 H7 124.907 C3 C4 C5 107.621
C3 C4 H9 127.294 C4 C3 H8 127.294
C4 C5 H10 124.907 C5 C1 H6 126.542
C5 C4 H9 125.085
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 -0.154      
2 C -0.108      
3 C -0.138      
4 C -0.138      
5 C -0.108      
6 H 0.124      
7 H 0.133      
8 H 0.127      
9 H 0.127      
10 H 0.133      


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 -32.357 0.000 0.000
y 0.000 -25.015 0.000
z 0.000 0.000 -26.894
Traceless
 xyz
x -6.402 0.000 0.000
y 0.000 4.610 0.000
z 0.000 0.000 1.792
Polar
3z2-r23.584
x2-y2-7.341
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.779 0.000 0.000
y 0.000 8.723 0.000
z 0.000 0.000 7.847


<r2> (average value of r2) Å2
<r2> 87.160
(<r2>)1/2 9.336