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

using model chemistry: B3LYP/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 B3LYP/6-31G*
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-193.462323
Energy at 298.15K 
HF Energy-193.462323
Nuclear repulsion energy148.557535
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 B3LYP/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 3264 3134 0.07      
2 A1 3256 3127 15.02      
3 A1 3225 3097 1.69      
4 A1 1594 1531 0.00      
5 A1 1470 1412 2.01      
6 A1 1153 1107 0.00      
7 A1 1095 1051 8.67      
8 A1 1047 1005 8.41      
9 A1 845 812 0.27      
10 A2 901 866 0.00      
11 A2 819 787 0.00      
12 A2 529 508 0.00      
13 B1 879 844 6.07      
14 B1 720 691 1.55      
15 B1 686 659 74.43      
16 B1 494 474 9.61      
17 B2 3240 3112 21.94      
18 B2 3226 3098 9.50      
19 B2 1418 1362 36.99      
20 B2 1311 1259 0.00      
21 B2 1227 1179 1.80      
22 B2 978 940 0.56      
23 B2 927 890 2.31      
24 B2 35i 33i 4.67      

Unscaled Zero Point Vibrational Energy (zpe) 17134.0 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 16453.8 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 B3LYP/6-31G*
ABC
0.30934 0.28316 0.14784

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.226
C2 0.000 1.125 0.394
C3 0.000 0.680 -1.007
C4 0.000 -0.680 -1.007
C5 0.000 -1.125 0.394
H6 0.000 0.000 2.308
H7 0.000 2.161 0.716
H8 0.000 1.338 -1.868
H9 0.000 -1.338 -1.868
H10 0.000 -2.161 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39952.33442.33441.39951.08212.22043.37063.37062.2204
C21.39951.46972.28482.25002.22061.08492.27143.34343.3018
C32.33441.46971.36022.28483.38432.27191.08312.19353.3227
C42.33442.28481.36021.46973.38433.32272.19351.08312.2719
C51.39952.25002.28481.46972.22063.30183.34342.27141.0849
H61.08212.22063.38433.38432.22062.68424.38494.38492.6842
H72.22041.08492.27193.32273.30182.68422.71174.34914.3220
H83.37062.27141.08312.19353.34344.38492.71172.67514.3491
H93.37063.34342.19351.08312.27144.38494.34912.67512.7117
H102.22043.30183.32272.27191.08492.68424.32204.34912.7117

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 108.877 C1 C2 H7 126.222
C1 C5 C4 108.877 C1 C5 H10 126.222
C2 C1 C5 107.001 C2 C1 H6 126.499
C2 C3 C4 107.622 C2 C3 H8 125.002
C3 C2 H7 124.901 C3 C4 C5 107.622
C3 C4 H9 127.376 C4 C3 H8 127.376
C4 C5 H10 124.901 C5 C1 H6 126.499
C5 C4 H9 125.002
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.152      
2 C -0.118      
3 C -0.141      
4 C -0.141      
5 C -0.118      
6 H 0.128      
7 H 0.139      
8 H 0.132      
9 H 0.132      
10 H 0.139      


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 0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.272 0.000 0.000
y 0.000 -25.412 0.000
z 0.000 0.000 -27.273
Traceless
 xyz
x -5.930 0.000 0.000
y 0.000 4.360 0.000
z 0.000 0.000 1.570
Polar
3z2-r23.139
x2-y2-6.860
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.703 0.000 0.000
y 0.000 8.728 0.000
z 0.000 0.000 7.882


<r2> (average value of r2) Å2
<r2> 87.723
(<r2>)1/2 9.366