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

using model chemistry: PBEPBE/cc-pVTZ

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-193.268735
Energy at 298.15K 
HF Energy-193.268735
Nuclear repulsion energy148.374810
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 PBEPBE/cc-pVTZ
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 3178 3156 0.07      
2 A1 3170 3148 8.24      
3 A1 3135 3114 1.35      
4 A1 1528 1518 0.01      
5 A1 1412 1403 2.54      
6 A1 1116 1108 0.03      
7 A1 1055 1048 7.66      
8 A1 1016 1009 13.87      
9 A1 819 814 0.29      
10 A2 866 860 0.00      
11 A2 794 789 0.00      
12 A2 506 503 0.00      
13 B1 851 845 5.94      
14 B1 693 688 5.44      
15 B1 653 649 90.28      
16 B1 467 464 10.75      
17 B2 3153 3132 14.05      
18 B2 3136 3115 8.77      
19 B2 1358 1348 37.72      
20 B2 1250 1242 0.00      
21 B2 1179 1171 1.83      
22 B2 953 946 0.08      
23 B2 896 889 3.87      
24 B2 55i 55i 9.84      

Unscaled Zero Point Vibrational Energy (zpe) 16564.4 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 16450.1 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 PBEPBE/cc-pVTZ
ABC
0.30847 0.28276 0.14753

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.227
C2 0.000 1.126 0.393
C3 0.000 0.682 -1.007
C4 0.000 -0.682 -1.007
C5 0.000 -1.126 0.393
H6 0.000 0.000 2.313
H7 0.000 2.165 0.718
H8 0.000 1.340 -1.872
H9 0.000 -1.340 -1.872
H10 0.000 -2.165 0.718

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40092.33592.33591.40091.08562.22433.37623.37622.2243
C21.40091.46922.28672.25162.22511.08902.27523.34853.3071
C32.33591.46921.36372.28673.38912.27531.08682.19933.3290
C42.33592.28671.36371.46923.38913.32902.19931.08682.2753
C51.40092.25162.28671.46922.22513.30713.34852.27521.0890
H61.08562.22513.38913.38912.22512.68914.39384.39382.6891
H72.22431.08902.27533.32903.30712.68912.71794.35854.3306
H83.37622.27521.08682.19933.34854.39382.71792.68094.3585
H93.37623.34852.19931.08682.27524.39384.35852.68092.7179
H102.22433.30713.32902.27531.08902.68914.33064.35852.7179

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 108.931 C1 C2 H7 126.132
C1 C5 C4 108.931 C1 C5 H10 126.132
C2 C1 C5 106.960 C2 C1 H6 126.520
C2 C3 C4 107.589 C2 C3 H8 125.109
C3 C2 H7 124.937 C3 C4 C5 107.589
C3 C4 H9 127.302 C4 C3 H8 127.302
C4 C5 H10 124.937 C5 C1 H6 126.520
C5 C4 H9 125.109
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.162      
2 C -0.052      
3 C -0.122      
4 C -0.122      
5 C -0.052      
6 H 0.099      
7 H 0.104      
8 H 0.100      
9 H 0.100      
10 H 0.104      


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 0.065 0.065
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.113 0.000 0.000
y 0.000 -25.897 0.000
z 0.000 0.000 -27.781
Traceless
 xyz
x -6.274 0.000 0.000
y 0.000 4.551 0.000
z 0.000 0.000 1.724
Polar
3z2-r23.448
x2-y2-7.217
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.450 0.000 0.000
y 0.000 9.704 0.000
z 0.000 0.000 9.043


<r2> (average value of r2) Å2
<r2> 88.278
(<r2>)1/2 9.396