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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-193.250543
Energy at 298.15K-193.254505
HF Energy-193.250543
Nuclear repulsion energy148.966490
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 HSEh1PBE/6-31G**
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 3288 3138 0.37      
2 A1 3280 3130 8.34      
3 A1 3244 3096 1.56      
4 A1 1611 1538 0.06      
5 A1 1487 1419 1.84      
6 A1 1157 1104 0.00      
7 A1 1097 1047 8.75      
8 A1 1057 1009 9.97      
9 A1 843 804 0.32      
10 A2 912 871 0.00      
11 A2 823 786 0.00      
12 A2 528 504 0.00      
13 B1 884 844 6.54      
14 B1 725 692 0.47      
15 B1 689 657 84.81      
16 B1 490 468 10.99      
17 B2 3262 3112 13.55      
18 B2 3245 3097 9.53      
19 B2 1417 1352 42.06      
20 B2 1303 1243 0.00      
21 B2 1228 1172 1.60      
22 B2 983 938 0.10      
23 B2 931 889 2.65      
24 B2 29 28 2.98      

Unscaled Zero Point Vibrational Energy (zpe) 17257.2 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 16468.5 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 HSEh1PBE/6-31G**
ABC
0.31117 0.28479 0.14870

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
C2 0.000 1.121 0.392
C3 0.000 0.678 -1.004
C4 0.000 -0.678 -1.004
C5 0.000 -1.121 0.392
H6 0.000 0.000 2.304
H7 0.000 2.157 0.714
H8 0.000 1.334 -1.865
H9 0.000 -1.334 -1.865
H10 0.000 -2.157 0.714

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.39582.32762.32761.39581.08112.21593.36353.36352.2159
C21.39581.46412.27712.24262.21681.08432.26643.33463.2937
C32.32761.46411.35642.27713.37652.26631.08232.18873.3146
C42.32762.27711.35641.46413.37653.31462.18871.08232.2663
C51.39582.24262.27711.46412.21683.29373.33462.26641.0843
H61.08112.21683.37653.37652.21682.67944.37694.37692.6794
H72.21591.08432.26633.31463.29372.67942.70674.33984.3132
H83.36352.26641.08232.18873.33464.37692.70672.66804.3398
H93.36353.33462.18871.08232.26644.37694.33982.66802.7067
H102.21593.29373.31462.26631.08432.67944.31324.33982.7067

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 108.935 C1 C2 H7 126.161
C1 C5 C4 108.935 C1 C5 H10 126.161
C2 C1 C5 106.899 C2 C1 H6 126.550
C2 C3 C4 107.616 C2 C3 H8 125.090
C3 C2 H7 124.905 C3 C4 C5 107.616
C3 C4 H9 127.295 C4 C3 H8 127.295
C4 C5 H10 124.905 C5 C1 H6 126.550
C5 C4 H9 125.090
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.149      
2 C -0.105      
3 C -0.133      
4 C -0.133      
5 C -0.105      
6 H 0.120      
7 H 0.130      
8 H 0.123      
9 H 0.123      
10 H 0.130      


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 0.030 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.397 0.000 0.000
y 0.000 -25.108 0.000
z 0.000 0.000 -26.979
Traceless
 xyz
x -6.354 0.000 0.000
y 0.000 4.581 0.000
z 0.000 0.000 1.773
Polar
3z2-r23.546
x2-y2-7.290
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.779 0.000 0.000
y 0.000 8.745 0.000
z 0.000 0.000 7.877


<r2> (average value of r2) Å2
<r2> 87.243
(<r2>)1/2 9.340