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

using model chemistry: ROHF/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 ROHF/6-31G**
Rotational Constants (cm-1) from geometry optimized at ROHF/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at ROHF/6-31G**
 hartrees
Energy at 0K-192.202158
Energy at 298.15K-192.207182
HF Energy-192.202158
Nuclear repulsion energy149.261208
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 ROHF/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 3415 2918 0.51      
2 A1 3405 2910 22.81      
3 A1 3377 2886 1.05      
4 A1 1742 1489 0.15      
5 A1 1565 1337 0.17      
6 A1 1227 1049 0.48      
7 A1 1135 970 6.44      
8 A1 1086 928 2.32      
9 A1 895 765 0.34      
10 A2 1047 894 0.00      
11 A2 823 703 0.00      
12 A2 564 482 0.00      
13 B1 920 786 13.65      
14 B1 806 689 17.58      
15 B1 714 610 80.42      
16 B1 523 447 7.76      
17 B2 8713 7446 326813.00      
18 B2 3387 2894 81.38      
19 B2 3377 2886 31.41      
20 B2 1511 1292 44.24      
21 B2 1414 1208 0.04      
22 B2 1257 1074 15.15      
23 B2 1024 875 1.27      
24 B2 916 783 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 22420.8 cm-1
Scaled (by 0.8546) Zero Point Vibrational Energy (zpe) 19160.8 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 ROHF/6-31G**
ABC
0.31280 0.28475 0.14906

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
C2 0.000 1.125 0.394
C3 0.000 0.668 -1.005
C4 0.000 -0.668 -1.005
C5 0.000 -1.125 0.394
H6 0.000 0.000 2.294
H7 0.000 2.151 0.710
H8 0.000 1.315 -1.861
H9 0.000 -1.315 -1.861
H10 0.000 -2.151 0.710

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39682.32542.32541.39681.07182.21113.35193.35192.2111
C21.39681.47192.27442.24982.20791.07352.26323.32233.2910
C32.32541.47191.33632.27443.36612.26721.07282.15983.2998
C42.32542.27441.33631.47193.36613.29982.15981.07282.2672
C51.39682.24982.27441.47192.20793.29103.32232.26321.0735
H61.07182.20793.36613.36612.20792.67134.35814.35812.6713
H72.21111.07352.26723.29983.29102.67132.70364.31524.3019
H83.35192.26321.07282.15983.32234.35812.70362.62964.3152
H93.35193.32232.15981.07282.26324.35814.31522.62962.7036
H102.21113.29103.29982.26721.07352.67134.30194.31522.7036

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 108.281 C1 C2 H7 126.535
C1 C5 C4 108.281 C1 C5 H10 126.535
C2 C1 C5 107.284 C2 C1 H6 126.358
C2 C3 C4 108.077 C2 C3 H8 124.854
C3 C2 H7 125.185 C3 C4 C5 108.077
C3 C4 H9 127.069 C4 C3 H8 127.069
C4 C5 H10 125.185 C5 C1 H6 126.358
C5 C4 H9 124.854
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.183      
2 C -0.122      
3 C -0.157      
4 C -0.157      
5 C -0.122      
6 H 0.143      
7 H 0.152      
8 H 0.148      
9 H 0.148      
10 H 0.152      


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 -0.046 0.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.996 0.000 0.000
y 0.000 -25.458 0.000
z 0.000 0.000 -27.387
Traceless
 xyz
x -6.573 0.000 0.000
y 0.000 4.733 0.000
z 0.000 0.000 1.840
Polar
3z2-r23.681
x2-y2-7.538
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 87.271
(<r2>)1/2 9.342