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

using model chemistry: B97D3/aug-cc-pVTZ

19 10 17 12 22

States and conformations

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

Conformer 1 (D5H)

Jump to S1C2
Energy calculated at B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-193.399697
Energy at 298.15K-193.403548
HF Energy-193.399697
Nuclear repulsion energy148.476275
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/aug-cc-pVTZ
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 3195 3146 0.00      
2 A1 3171 3123 22.06      
3 A1 3151 3103 7.80      
4 A1 1452 1429 15.49      
5 A1 1353 1332 20.88      
6 A1 1125 1108 0.01      
7 A1 1043 1027 0.21      
8 A1 925 910 0.87      
9 A1 836 823 0.33      
10 A2 869 856 0.00      
11 A2 694 683 0.00      
12 A2 498 491 0.00      
13 B1 863 850 5.65      
14 B1 795 783 0.81      
15 B1 661 651 106.40      
16 B1 483 475 11.13      
17 B2 3188 3139 12.33      
18 B2 3159 3111 1.42      
19 B2 1494 1471 2.00      
20 B2 1261 1241 0.04      
21 B2 1192 1174 0.49      
22 B2 1047 1031 15.49      
23 B2 914 900 5.98      
24 B2 21 21 6.54      

Unscaled Zero Point Vibrational Energy (zpe) 16693.8 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 16438.4 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/aug-cc-pVTZ
ABC
0.30852 0.28322 0.14766

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.189
C2 0.000 1.171 0.355
C3 0.000 0.741 -0.949
C4 0.000 -0.741 -0.949
C5 0.000 -1.171 0.355
H6 0.000 0.000 2.274
H7 0.000 2.194 0.704
H8 0.000 1.360 -1.839
H9 0.000 -1.360 -1.839
H10 0.000 -2.194 0.704

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.43792.26332.26331.43791.08462.24723.31903.31902.2472
C21.43791.37302.31442.34192.24811.08152.20123.34893.3834
C32.26331.37301.48222.31443.30722.20151.08332.28153.3692
C42.26332.31441.48221.37303.30723.36922.28151.08332.2015
C51.43792.34192.31441.37302.24813.38343.34892.20121.0815
H61.08462.24813.30723.30722.24812.69774.33134.33132.6977
H72.24721.08152.20153.36923.38342.69772.67624.37034.3886
H83.31902.20121.08332.28153.34894.33132.67622.72014.3703
H93.31903.34892.28151.08332.20124.33134.37032.72012.6762
H102.24723.38343.36922.20151.08152.69774.38864.37032.6762

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 107.232 C1 C2 H7 125.655
C1 C5 C4 107.232 C1 C5 H10 125.655
C2 C1 C5 109.049 C2 C1 H6 125.476
C2 C3 C4 108.244 C2 C3 H8 126.912
C3 C2 H7 127.113 C3 C4 C5 108.244
C3 C4 H9 124.844 C4 C3 H8 124.844
C4 C5 H10 127.113 C5 C1 H6 125.476
C5 C4 H9 126.912
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.340      
2 C -0.398      
3 C -0.290      
4 C -0.290      
5 C -0.398      
6 H 0.371      
7 H 0.328      
8 H 0.345      
9 H 0.345      
10 H 0.328      


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 0.060 0.060
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.281 0.000 0.000
y 0.000 -28.144 0.000
z 0.000 0.000 -26.052
Traceless
 xyz
x -6.183 0.000 0.000
y 0.000 1.522 0.000
z 0.000 0.000 4.661
Polar
3z2-r29.321
x2-y2-5.137
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.969 0.000 0.000
y 0.000 9.758 0.000
z 0.000 0.000 10.225


<r2> (average value of r2) Å2
<r2> 88.317
(<r2>)1/2 9.398

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-193.399710
Energy at 298.15K 
HF Energy-193.399710
Nuclear repulsion energy148.468232
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/aug-cc-pVTZ
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 3195 3146 0.00      
2 A1 3188 3139 12.24      
3 A1 3154 3105 1.37      
4 A1 1526 1503 0.55      
5 A1 1408 1387 3.28      
6 A1 1125 1108 0.02      
7 A1 1060 1044 6.96      
8 A1 1015 1000 14.37      
9 A1 837 824 0.25      
10 A2 874 861 0.00      
11 A2 796 784 0.00      
12 A2 509 501 0.00      
13 B1 856 843 6.88      
14 B1 696 685 5.21      
15 B1 657 647 101.84      
16 B1 473 465 10.10      
17 B2 3172 3123 19.41      
18 B2 3155 3107 10.66      
19 B2 1366 1345 34.54      
20 B2 1260 1241 0.00      
21 B2 1190 1172 1.77      
22 B2 952 938 0.39      
23 B2 903 889 3.29      
24 B2 77i 76i 9.32      

Unscaled Zero Point Vibrational Energy (zpe) 16644.8 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 16390.1 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/aug-cc-pVTZ
ABC
0.30850 0.28317 0.14765

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.226
C2 0.000 1.127 0.393
C3 0.000 0.682 -1.007
C4 0.000 -0.682 -1.007
C5 0.000 -1.127 0.393
H6 0.000 0.000 2.307
H7 0.000 2.162 0.716
H8 0.000 1.336 -1.869
H9 0.000 -1.336 -1.869
H10 0.000 -2.162 0.716

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10
C11.40112.33482.33481.40111.08122.22123.37113.37112.2212
C21.40111.46942.28732.25362.22101.08432.27193.34423.3045
C32.33481.46941.36332.28733.38372.27181.08222.19413.3250
C42.33482.28731.36331.46943.38373.32502.19411.08222.2718
C51.40112.25362.28731.46942.22103.30453.34422.27191.0843
H61.08122.22103.38373.38372.22102.68424.38474.38472.6842
H72.22121.08432.27183.32503.30452.68422.71404.34964.3238
H83.37112.27191.08222.19413.34424.38472.71402.67214.3496
H93.37113.34422.19411.08222.27194.38474.34962.67212.7140
H102.22123.30453.32502.27181.08432.68424.32384.34962.7140

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 108.831 C1 C2 H7 126.204
C1 C5 C4 108.831 C1 C5 H10 126.204
C2 C1 C5 107.068 C2 C1 H6 126.466
C2 C3 C4 107.635 C2 C3 H8 125.159
C3 C2 H7 124.965 C3 C4 C5 107.635
C3 C4 H9 127.206 C4 C3 H8 127.206
C4 C5 H10 124.965 C5 C1 H6 126.466
C5 C4 H9 125.159
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.435      
2 C -0.313      
3 C -0.328      
4 C -0.328      
5 C -0.313      
6 H 0.327      
7 H 0.362      
8 H 0.333      
9 H 0.333      
10 H 0.362      


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 0.052 0.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.283 0.000 0.000
y 0.000 -26.058 0.000
z 0.000 0.000 -28.138
Traceless
 xyz
x -6.185 0.000 0.000
y 0.000 4.653 0.000
z 0.000 0.000 1.532
Polar
3z2-r23.064
x2-y2-7.225
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.970 0.000 0.000
y 0.000 10.235 0.000
z 0.000 0.000 9.757


<r2> (average value of r2) Å2
<r2> 88.324
(<r2>)1/2 9.398