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

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

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-193.216134
Energy at 298.15K 
HF Energy-193.216134
Nuclear repulsion energy147.591764
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-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 3190 3172 0.01      
2 A1 3183 3164 7.55      
3 A1 3145 3127 1.41      
4 A1 1535 1526 0.01      
5 A1 1422 1414 2.75      
6 A1 1115 1108 0.02      
7 A1 1044 1038 7.56      
8 A1 1012 1006 13.17      
9 A1 810 805 0.33      
10 A2 865 860 0.00      
11 A2 796 791 0.00      
12 A2 505 502 0.00      
13 B1 850 845 5.21      
14 B1 694 690 3.79      
15 B1 656 652 69.67      
16 B1 468 466 9.25      
17 B2 3165 3146 12.45      
18 B2 3146 3128 9.01      
19 B2 1349 1341 37.78      
20 B2 1229 1222 0.00      
21 B2 1168 1161 2.03      
22 B2 948 943 0.00      
23 B2 889 884 3.76      
24 B2 67i 66i 8.79      

Unscaled Zero Point Vibrational Energy (zpe) 16558.1 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 16462.1 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-pVDZ
ABC
0.30518 0.28011 0.14605

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.233
C2 0.000 1.131 0.394
C3 0.000 0.686 -1.011
C4 0.000 -0.686 -1.011
C5 0.000 -1.131 0.394
H6 0.000 0.000 2.328
H7 0.000 2.180 0.722
H8 0.000 1.350 -1.883
H9 0.000 -1.350 -1.883
H10 0.000 -2.180 0.722

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40802.34682.34681.40801.09502.23903.39643.39642.2390
C21.40801.47432.29712.26182.24021.09882.28823.36803.3269
C32.34681.47431.37182.29713.40912.28791.09632.21503.3489
C42.34682.29711.37181.47433.40913.34892.21501.09632.2879
C51.40802.26182.29711.47432.24023.32693.36802.28821.0988
H61.09502.24023.40913.40912.24022.70784.42264.42262.7078
H72.23901.09882.28793.34893.32692.70782.73394.38714.3596
H83.39642.28821.09632.21503.36804.42262.73392.70044.3871
H93.39643.36802.21501.09632.28824.42264.38712.70042.7339
H102.23903.32693.34892.28791.09882.70784.35964.38712.7339

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 108.996 C1 C2 H7 126.104
C1 C5 C4 108.996 C1 C5 H10 126.104
C2 C1 C5 106.873 C2 C1 H6 126.563
C2 C3 C4 107.568 C2 C3 H8 125.136
C3 C2 H7 124.901 C3 C4 C5 107.568
C3 C4 H9 127.296 C4 C3 H8 127.296
C4 C5 H10 124.901 C5 C1 H6 126.563
C5 C4 H9 125.136
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.003      
2 C 0.032      
3 C 0.008      
4 C 0.008      
5 C 0.032      
6 H -0.023      
7 H -0.009      
8 H -0.019      
9 H -0.019      
10 H -0.009      


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 0.060 0.060
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.744 0.000 0.000
y 0.000 -25.838 0.000
z 0.000 0.000 -27.646
Traceless
 xyz
x -6.001 0.000 0.000
y 0.000 4.357 0.000
z 0.000 0.000 1.645
Polar
3z2-r23.289
x2-y2-6.905
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.207 0.000 0.000
y 0.000 9.377 0.000
z 0.000 0.000 8.641


<r2> (average value of r2) Å2
<r2> 88.911
(<r2>)1/2 9.429