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

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D5H 2E1"
1 2 no C2V 2B1

Conformer 1 (D5H)

Jump to S1C2
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-193.328352
Energy at 298.15K-193.332176
HF Energy-193.328352
Nuclear repulsion energy 
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 B97D3/6-31G*
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 3208 3145 0.02      
2 A1 3183 3121 32.30      
3 A1 3162 3100 11.27      
4 A1 1476 1447 14.57      
5 A1 1375 1348 21.65      
6 A1 1133 1111 0.03      
7 A1 1054 1033 0.13      
8 A1 936 918 0.39      
9 A1 833 817 0.30      
10 A2 852 835 0.00      
11 A2 684 671 0.00      
12 A2 498 488 0.00      
13 B1 844 827 4.85      
14 B1 787 772 0.92      
15 B1 663 650 75.25      
16 B1 486 476 12.31      
17 B2 3200 3137 22.82      
18 B2 3171 3109 2.44      
19 B2 1522 1492 0.47      
20 B2 1277 1252 0.03      
21 B2 1205 1181 0.71      
22 B2 1063 1042 13.00      
23 B2 924 906 5.33      
24 B2 32 31 4.94      

Unscaled Zero Point Vibrational Energy (zpe) 16782.5 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 16453.5 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 B97D3/6-31G*
ABC
0.30656 0.28126 0.14668

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.192
C2 0.000 1.175 0.356
C3 0.000 0.743 -0.952
C4 0.000 -0.743 -0.952
C5 0.000 -1.175 0.356
H6 0.000 0.000 2.281
H7 0.000 2.203 0.709
H8 0.000 1.363 -1.847
H9 0.000 -1.363 -1.847
H10 0.000 -2.203 0.709

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.44232.26932.26931.44231.08962.25533.33023.33022.2553
C21.44231.37812.32222.35092.25581.08632.21083.36093.3968
C32.26931.37811.48602.32223.31812.21151.08822.28793.3820
C42.26932.32221.48601.37813.31813.38202.28791.08822.2115
C51.44232.35092.32221.37812.25583.39683.36092.21081.0863
H61.08962.25583.31813.31812.25582.70684.34734.34732.7068
H72.25531.08632.21153.38203.39682.70682.69004.38704.4059
H83.33022.21081.08822.28793.36094.34732.69002.72584.3870
H93.33023.36092.28791.08822.21084.34734.38702.72582.6900
H102.25533.39683.38202.21151.08632.70684.40594.38702.6900

picture of cyclopentadienyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 107.322 C1 C2 H7 125.432
C1 C5 C4 107.322 C1 C5 H10 125.432
C2 C1 C5 108.687 C2 C1 H6 125.657
C2 C3 C4 108.334 C2 C3 H8 127.055
C3 C2 H7 127.246 C3 C4 C5 108.334
C3 C4 H9 124.611 C4 C3 H8 124.611
C4 C5 H10 127.246 C5 C1 H6 125.657
C5 C4 H9 127.055
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.123      
2 C -0.149      
3 C -0.135      
4 C -0.135      
5 C -0.149      
6 H 0.145      
7 H 0.134      
8 H 0.140      
9 H 0.140      
10 H 0.134      


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 0.053 0.053
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.218 0.000 0.000
y 0.000 -27.093 0.000
z 0.000 0.000 -25.304
Traceless
 xyz
x -6.020 0.000 0.000
y 0.000 1.668 0.000
z 0.000 0.000 4.352
Polar
3z2-r28.704
x2-y2-5.125
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.747 0.000 0.000
y 0.000 8.114 0.000
z 0.000 0.000 8.875


<r2> (average value of r2) Å2
<r2> 88.201
(<r2>)1/2 9.392

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-193.328350
Energy at 298.15K 
HF Energy-193.328350
Nuclear repulsion energy 
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 B97D3/6-31G*
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 3207 3144 0.05      
2 A1 3199 3136 22.85      
3 A1 3165 3103 2.22      
4 A1 1552 1521 0.00      
5 A1 1435 1407 2.47      
6 A1 1133 1111 0.00      
7 A1 1073 1052 7.16      
8 A1 1030 1010 10.39      
9 A1 834 818 0.28      
10 A2 856 839 0.00      
11 A2 789 774 0.00      
12 A2 512 502 0.00      
13 B1 838 822 5.67      
14 B1 687 673 8.81      
15 B1 657 644 68.24      
16 B1 475 465 10.64      
17 B2 3183 3121 29.17      
18 B2 3167 3105 14.66      
19 B2 1386 1359 34.15      
20 B2 1277 1251 0.00      
21 B2 1203 1179 2.17      
22 B2 963 945 0.56      
23 B2 913 895 2.51      
24 B2 92i 90i 7.38      

Unscaled Zero Point Vibrational Energy (zpe) 16719.8 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 16392.1 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 B97D3/6-31G*
ABC
0.30654 0.28121 0.14666

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.231
C2 0.000 1.130 0.394
C3 0.000 0.684 -1.010
C4 0.000 -0.684 -1.010
C5 0.000 -1.130 0.394
H6 0.000 0.000 2.317
H7 0.000 2.170 0.718
H8 0.000 1.343 -1.875
H9 0.000 -1.343 -1.875
H10 0.000 -2.170 0.718

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40592.34352.34351.40591.08612.22983.38403.38402.2298
C21.40591.47342.29412.25932.23021.08932.27913.35623.3153
C32.34351.47341.36872.29413.39712.27861.08712.20433.3364
C42.34352.29411.36871.47343.39713.33642.20431.08712.2786
C51.40592.25932.29411.47342.23023.31533.35622.27911.0893
H61.08612.23023.39713.39712.23022.69574.40204.40202.6957
H72.22981.08932.27863.33643.31532.69572.72104.36614.3397
H83.38402.27911.08712.20433.35624.40202.72102.68664.3661
H93.38403.35622.20431.08712.27914.40204.36612.68662.7210
H102.22983.31533.33642.27861.08932.69574.33974.36612.7210

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 108.967 C1 C2 H7 126.207
C1 C5 C4 108.967 C1 C5 H10 126.207
C2 C1 C5 106.944 C2 C1 H6 126.528
C2 C3 C4 107.561 C2 C3 H8 125.184
C3 C2 H7 124.826 C3 C4 C5 107.561
C3 C4 H9 127.255 C4 C3 H8 127.255
C4 C5 H10 124.826 C5 C1 H6 126.528
C5 C4 H9 125.184
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.152      
2 C -0.127      
3 C -0.144      
4 C -0.144      
5 C -0.127      
6 H 0.133      
7 H 0.144      
8 H 0.136      
9 H 0.136      
10 H 0.144      


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 -32.220 0.000 0.000
y 0.000 -25.310 0.000
z 0.000 0.000 -27.086
Traceless
 xyz
x -6.022 0.000 0.000
y 0.000 4.343 0.000
z 0.000 0.000 1.680
Polar
3z2-r23.359
x2-y2-6.910
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.747 0.000 0.000
y 0.000 8.882 0.000
z 0.000 0.000 8.115


<r2> (average value of r2) Å2
<r2> 88.210
(<r2>)1/2 9.392