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: mPW1PW91/aug-cc-pVDZ

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-193.439486
Energy at 298.15K 
HF Energy-193.439486
Nuclear repulsion energy148.625447
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/aug-cc-pVDZ
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 3280 3143 0.02      
2 A1 3272 3135 6.16      
3 A1 3238 3103 0.90      
4 A1 1585 1519 0.18      
5 A1 1465 1404 3.29      
6 A1 1149 1101 0.03      
7 A1 1081 1035 7.78      
8 A1 1043 1000 13.77      
9 A1 837 803 0.32      
10 A2 892 854 0.00      
11 A2 808 775 0.00      
12 A2 522 500 0.00      
13 B1 863 827 7.68      
14 B1 713 684 0.93      
15 B1 675 647 114.35      
16 B1 483 463 11.11      
17 B2 3254 3119 12.67      
18 B2 3239 3104 6.74      
19 B2 1389 1331 40.41      
20 B2 1274 1221 0.01      
21 B2 1208 1157 1.41      
22 B2 972 932 0.01      
23 B2 919 881 3.75      
24 B2 32i 31i 4.40      

Unscaled Zero Point Vibrational Energy (zpe) 17063.7 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 16352.1 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/aug-cc-pVDZ
ABC
0.30950 0.28381 0.14805

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.225
C2 0.000 1.124 0.392
C3 0.000 0.680 -1.005
C4 0.000 -0.680 -1.005
C5 0.000 -1.124 0.392
H6 0.000 0.000 2.310
H7 0.000 2.163 0.717
H8 0.000 1.337 -1.870
H9 0.000 -1.337 -1.870
H10 0.000 -2.163 0.717

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39892.33112.33111.39891.08512.22203.37133.37132.2220
C21.39891.46632.28212.24862.22281.08832.27263.34313.3034
C32.33111.46631.36002.28213.38392.27251.08632.19453.3238
C42.33112.28211.36001.46633.38393.32382.19451.08632.2725
C51.39892.24862.28211.46632.22283.30343.34312.27261.0883
H61.08512.22283.38393.38392.22282.68654.38864.38862.6865
H72.22201.08832.27253.32383.30342.68652.71584.35224.3263
H83.37132.27261.08632.19453.34314.38862.71582.67354.3522
H93.37133.34312.19451.08632.27264.38864.35222.67352.7158
H102.22203.30343.32382.27251.08832.68654.32634.35222.7158

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 108.874 C1 C2 H7 126.146
C1 C5 C4 108.874 C1 C5 H10 126.146
C2 C1 C5 106.973 C2 C1 H6 126.514
C2 C3 C4 107.639 C2 C3 H8 125.161
C3 C2 H7 124.980 C3 C4 C5 107.639
C3 C4 H9 127.200 C4 C3 H8 127.200
C4 C5 H10 124.980 C5 C1 H6 126.514
C5 C4 H9 125.161
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.409      
2 C 0.379      
3 C 0.385      
4 C 0.385      
5 C 0.379      
6 H -0.395      
7 H -0.381      
8 H -0.390      
9 H -0.390      
10 H -0.381      


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 0.037 0.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.494 0.000 0.000
y 0.000 -25.629 0.000
z 0.000 0.000 -27.777
Traceless
 xyz
x -6.791 0.000 0.000
y 0.000 5.006 0.000
z 0.000 0.000 1.785
Polar
3z2-r23.570
x2-y2-7.864
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.809 0.000 0.000
y 0.000 9.971 0.000
z 0.000 0.000 9.365


<r2> (average value of r2) Å2
<r2> 88.067
(<r2>)1/2 9.384