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

using model chemistry: B3LYP/3-21G

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/3-21G
Rotational Constants (cm-1) from geometry optimized at B3LYP/3-21G
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-192.396299
Energy at 298.15K-192.400303
HF Energy-192.396299
Nuclear repulsion energy147.990890
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/3-21G
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 3285 3170 0.08      
2 A1 3273 3158 7.68      
3 A1 3243 3129 1.00      
4 A1 1566 1511 0.34      
5 A1 1428 1378 0.44      
6 A1 1163 1123 0.17      
7 A1 1092 1054 11.26      
8 A1 1020 984 8.82      
9 A1 880 849 0.16      
10 A2 928 896 0.00      
11 A2 818 790 0.00      
12 A2 537 518 0.00      
13 B1 902 871 8.26      
14 B1 736 710 0.65      
15 B1 689 665 118.69      
16 B1 509 491 13.67      
17 B2 3258 3143 10.71      
18 B2 3244 3130 4.61      
19 B2 1403 1354 42.11      
20 B2 1334 1287 0.00      
21 B2 1230 1187 1.14      
22 B2 975 941 2.25      
23 B2 914 882 0.45      
24 B2 30 29 5.76      

Unscaled Zero Point Vibrational Energy (zpe) 17228.0 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 16623.3 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/3-21G
ABC
0.30672 0.28055 0.14652

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.229
C2 0.000 1.133 0.399
C3 0.000 0.681 -1.014
C4 0.000 -0.681 -1.014
C5 0.000 -1.133 0.399
H6 0.000 0.000 2.307
H7 0.000 2.164 0.720
H8 0.000 1.337 -1.870
H9 0.000 -1.337 -1.870
H10 0.000 -2.164 0.720

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40432.34432.34431.40431.07802.22363.37553.37552.2236
C21.40431.48352.29902.26532.21901.08052.27843.35403.3126
C32.34431.48351.36172.29903.39032.28181.07882.19223.3319
C42.34432.29901.36171.48353.39033.33192.19221.07882.2818
C51.40432.26532.29901.48352.21903.31263.35402.27841.0805
H61.07802.21903.39033.39032.21902.68424.38614.38612.6842
H72.22361.08052.28183.33193.31262.68422.71874.35544.3289
H83.37552.27841.07882.19223.35404.38612.71872.67454.3554
H93.37553.35402.19221.07882.27844.38614.35542.67452.7187
H102.22363.31263.33192.28181.08052.68424.32894.35542.7187

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 108.511 C1 C2 H7 126.496
C1 C5 C4 108.511 C1 C5 H10 126.496
C2 C1 C5 107.520 C2 C1 H6 126.240
C2 C3 C4 107.730 C2 C3 H8 124.792
C3 C2 H7 124.993 C3 C4 C5 107.730
C3 C4 H9 127.478 C4 C3 H8 127.478
C4 C5 H10 124.993 C5 C1 H6 126.240
C5 C4 H9 124.792
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.213      
2 C -0.164      
3 C -0.195      
4 C -0.195      
5 C -0.164      
6 H 0.180      
7 H 0.191      
8 H 0.183      
9 H 0.183      
10 H 0.191      


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 0.056 0.056
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.450 0.000 0.000
y 0.000 -25.180 0.000
z 0.000 0.000 -27.055
Traceless
 xyz
x -7.333 0.000 0.000
y 0.000 5.073 0.000
z 0.000 0.000 2.260
Polar
3z2-r24.520
x2-y2-8.270
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.018 0.000 0.000
y 0.000 8.298 0.000
z 0.000 0.000 7.397


<r2> (average value of r2) Å2
<r2> 88.411
(<r2>)1/2 9.403