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All results from a given calculation for C7H7 (cycloheptatrienyl radical)

using model chemistry: wB97X-D/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
1 2 no CS 2A"

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-270.787362
Energy at 298.15K 
HF Energy-270.787362
Nuclear repulsion energy258.147941
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 wB97X-D/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 3229 3063 8.61      
2 A1 3220 3054 43.06      
3 A1 3203 3038 12.17      
4 A1 3181 3017 5.70      
5 A1 1708 1620 1.65      
6 A1 1641 1557 12.26      
7 A1 1504 1426 5.81      
8 A1 1320 1252 0.58      
9 A1 1271 1206 2.21      
10 A1 984 933 1.62      
11 A1 923 875 0.92      
12 A1 859 814 0.24      
13 A1 422 400 0.29      
14 A2 1029 976 0.00      
15 A2 1007 956 0.00      
16 A2 770 730 0.00      
17 A2 569 540 0.00      
18 A2 291 276 0.00      
19 B1 1006 954 0.18      
20 B1 849 805 0.00      
21 B1 760 721 0.72      
22 B1 650 617 65.58      
23 B1 518 492 39.79      
24 B1 147 140 0.00      
25 B2 3213 3047 59.73      
26 B2 3190 3025 3.27      
27 B2 3181 3017 5.81      
28 B2 1588 1506 6.61      
29 B2 1513 1435 2.25      
30 B2 1434 1360 0.08      
31 B2 1331 1262 0.02      
32 B2 1212 1150 1.52      
33 B2 987 937 4.04      
34 B2 909 862 1.32      
35 B2 448 425 0.26      
36 B2 108i 103i 18.65      

Unscaled Zero Point Vibrational Energy (zpe) 24977.1 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 23690.8 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 wB97X-D/6-31G*
ABC
0.12430 0.12426 0.06214

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.621
C2 0.000 1.266 0.995
C3 0.000 -1.266 0.995
C4 0.000 1.588 -0.340
C5 0.000 -1.588 -0.340
C6 0.000 0.678 -1.466
C7 0.000 -0.678 -1.466
H8 0.000 0.000 2.707
H9 0.000 2.115 1.677
H10 0.000 -2.115 1.677
H11 0.000 2.647 -0.586
H12 0.000 -2.647 -0.586
H13 0.000 1.162 -2.441
H14 0.000 -1.162 -2.441

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41251.41252.52302.52303.16063.16061.08672.11582.11583.44583.44584.22494.2249
C21.41252.53241.37263.15102.53023.13632.12991.08923.44942.09854.22013.43754.2074
C31.41252.53243.15101.37263.13632.53022.12993.44941.08924.22012.09854.20743.4375
C42.52301.37263.15103.17681.44852.53113.43612.08444.21701.08674.24242.14453.4616
C52.52303.15101.37263.17682.53111.44853.43614.21702.08444.24241.08673.46162.1445
C63.16062.53023.13631.44852.53111.35624.22843.45644.20512.15673.43961.08852.0826
C73.16063.13632.53022.53111.44851.35624.22844.20513.45643.43962.15672.08261.0885
H81.08672.12992.12993.43613.43614.22844.22842.35252.35254.22494.22495.27825.2782
H92.11581.08923.44942.08444.21703.45644.20512.35254.23002.32465.27224.22735.2633
H102.11583.44941.08924.21702.08444.20513.45642.35254.23005.27222.32465.26334.2273
H113.44582.09854.22011.08674.24242.15673.43964.22492.32465.27225.29372.37654.2370
H123.44584.22012.09854.24241.08673.43962.15674.22495.27222.32465.29374.23702.3765
H134.22493.43754.20742.14453.46161.08852.08265.27824.22735.26332.37654.23702.3243
H144.22494.20743.43753.46162.14452.08261.08855.27825.26334.22734.23702.37652.3243

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 26.308 C1 C2 H9 114.888
C1 C7 C6 77.611 C1 C7 H14 165.986
C2 C1 C7 76.081 C2 C1 H8 116.308
C2 C3 C4 25.051 C2 C3 H10 141.196
C3 C2 H9 141.196 C3 C4 C5 25.051
C3 C4 H11 168.038 C4 C3 H10 166.247
C4 C5 C6 26.432 C4 C5 H12 166.911
C5 C4 H11 166.911 C5 C6 C7 26.432
C5 C6 H13 142.836 C6 C5 H12 140.479
C6 C7 H14 116.403 C7 C1 H8 167.611
C7 C6 H13 116.403
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.208      
2 C -0.122      
3 C -0.122      
4 C -0.191      
5 C -0.191      
6 C -0.152      
7 C -0.152      
8 H 0.158      
9 H 0.166      
10 H 0.166      
11 H 0.160      
12 H 0.160      
13 H 0.164      
14 H 0.164      


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 -0.061 0.061
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.331 0.000 0.000
y 0.000 -36.026 0.000
z 0.000 0.000 -36.029
Traceless
 xyz
x -9.303 0.000 0.000
y 0.000 4.654 0.000
z 0.000 0.000 4.649
Polar
3z2-r29.298
x2-y2-9.304
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.604 0.000 0.000
y 0.000 13.209 0.000
z 0.000 0.000 13.195


<r2> (average value of r2) Å2
<r2> 185.485
(<r2>)1/2 13.619

Conformer 2 (CS)

Jump to S1C1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-270.787350
Energy at 298.15K 
HF Energy-270.787350
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 wB97X-D/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 A' 3230 3063 0.14      
2 A' 3221 3055 57.00      
3 A' 3219 3054 43.67      
4 A' 3207 3042 14.25      
5 A' 3187 3023 10.53      
6 A' 3182 3018 1.54      
7 A' 3180 3016 10.97      
8 A' 1690 1603 7.20      
9 A' 1669 1583 3.48      
10 A' 1577 1496 9.71      
11 A' 1512 1434 2.52      
12 A' 1505 1428 5.24      
13 A' 1433 1360 0.09      
14 A' 1330 1262 0.05      
15 A' 1319 1251 0.89      
16 A' 1273 1207 1.31      
17 A' 1211 1149 2.30      
18 A' 991 940 3.89      
19 A' 981 930 1.92      
20 A' 923 875 0.87      
21 A' 909 862 1.28      
22 A' 859 815 0.23      
23 A' 448 425 0.25      
24 A' 421 400 0.30      
25 A' 123i 117i 19.11      
26 A" 1015 963 0.00      
27 A" 1001 950 0.00      
28 A" 994 943 0.79      
29 A" 852 808 0.00      
30 A" 776 736 0.02      
31 A" 773 734 0.03      
32 A" 661 627 64.03      
33 A" 569 540 0.00      
34 A" 513 486 41.40      
35 A" 287 272 0.00      
36 A" 147 139 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24970.5 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 23684.5 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 wB97X-D/6-31G*
ABC
0.12428 0.12427 0.06214

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.787 -1.392 0.000
C2 -0.815 -1.116 0.000
C3 1.645 -0.505 0.000
C4 -1.453 -0.205 0.000
C5 1.157 1.127 0.000
C6 -1.238 0.725 0.000
C7 0.000 1.363 0.000
H8 1.057 -2.440 0.000
H9 -1.315 -2.094 0.000
H10 2.714 -0.627 0.000
H11 -2.534 -0.150 0.000
H12 2.084 1.727 0.000
H13 -2.181 1.143 0.000
H14 -0.323 2.467 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.62521.23412.53462.54672.92962.86521.08202.21552.07373.54563.37833.90314.0158
C21.62522.53441.11192.98691.88872.60922.29271.09813.56251.97204.06022.64003.6167
C31.23412.53443.11201.70393.13472.48912.02213.35891.07604.19412.27524.16563.5649
C42.53461.11193.11202.93030.95412.13733.36041.89354.18791.08304.02981.53242.9012
C52.54672.98691.70392.93032.42931.18103.56884.06022.34533.90631.10373.33781.9966
C62.92961.88873.13470.95412.42931.39313.90942.81934.17711.56353.47011.03101.9683
C72.86522.60922.48912.13731.18101.39313.94693.69803.36512.95152.11542.19151.1507
H81.08202.29272.02213.36043.56883.90943.94692.39692.45644.25894.29194.82935.0975
H92.21551.09813.35891.89354.06022.81933.69802.39694.28752.29415.11353.35074.6673
H102.07373.56251.07604.18792.34534.17713.36512.45644.28755.26972.43695.20484.3355
H113.54561.97204.19411.08303.90631.56352.95154.25892.29415.26974.98501.34123.4264
H123.37834.06022.27524.02981.10373.47012.11544.29195.11352.43694.98504.30402.5180
H133.90312.64004.16561.53243.33781.03102.19154.82933.35075.20481.34124.30402.2809
H144.01583.61673.56492.90121.99661.96831.15075.09754.66734.33553.42642.51802.2809

picture of cycloheptatrienyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 23.731 C1 C2 H9 107.297
C1 C7 C6 78.678 C1 C7 H14 179.633
C2 C1 C7 64.272 C2 C1 H8 114.246
C2 C3 C4 19.477 C2 C3 H10 159.574
C3 C2 H9 131.029 C3 C4 C5 32.582
C3 C4 H11 177.364 C4 C3 H10 179.051
C4 C5 C6 17.505 C4 C5 H12 174.128
C5 C4 H11 150.054 C5 C6 C7 17.718
C5 C6 H13 146.495 C6 C5 H12 156.624
C6 C7 H14 100.955 C7 C1 H8 178.519
C7 C6 H13 128.777
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.118      
2 C -0.205      
3 C -0.202      
4 C -0.132      
5 C -0.137      
6 C -0.175      
7 C -0.169      
8 H 0.166      
9 H 0.159      
10 H 0.159      
11 H 0.165      
12 H 0.165      
13 H 0.162      
14 H 0.163      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.009 -0.061 0.000 0.062
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.027 -0.001 0.000
y -0.001 -36.027 0.000
z 0.000 0.000 -45.330
Traceless
 xyz
x 4.651 -0.001 0.000
y -0.001 4.652 0.000
z 0.000 0.000 -9.303
Polar
3z2-r2-18.606
x2-y2-0.000
xy-0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.205 -0.001 0.000
y -0.001 13.197 0.000
z 0.000 0.000 3.604


<r2> (average value of r2) Å2
<r2> 185.488
(<r2>)1/2 13.619