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

using model chemistry: wB97X-D/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-270.806838
Energy at 298.15K 
HF Energy-270.806838
Nuclear repulsion energy257.978646
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/cc-pVDZ
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 3227 3074 7.69      
2 A1 3218 3065 37.20      
3 A1 3202 3050 9.51      
4 A1 3180 3029 4.66      
5 A1 1692 1612 0.69      
6 A1 1629 1552 16.10      
7 A1 1487 1417 5.76      
8 A1 1310 1248 0.67      
9 A1 1260 1201 2.40      
10 A1 978 931 3.34      
11 A1 919 876 0.91      
12 A1 855 814 0.22      
13 A1 420 400 0.29      
14 A2 1029 980 0.00      
15 A2 1007 959 0.00      
16 A2 770 733 0.00      
17 A2 565 538 0.00      
18 A2 289 276 0.00      
19 B1 1007 959 0.12      
20 B1 850 810 0.00      
21 B1 762 726 1.05      
22 B1 643 612 99.83      
23 B1 519 494 42.68      
24 B1 140 133 0.00      
25 B2 3211 3059 51.01      
26 B2 3189 3038 2.76      
27 B2 3180 3029 4.63      
28 B2 1575 1500 5.74      
29 B2 1497 1426 2.14      
30 B2 1419 1352 0.08      
31 B2 1321 1258 0.11      
32 B2 1204 1147 1.40      
33 B2 982 935 6.83      
34 B2 907 864 1.33      
35 B2 446 425 0.25      
36 B2 102i 97i 23.35      

Unscaled Zero Point Vibrational Energy (zpe) 24891.7 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 23711.9 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/cc-pVDZ
ABC
0.12412 0.12408 0.06205

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.622
C2 0.000 1.267 0.996
C3 0.000 -1.267 0.996
C4 0.000 1.590 -0.340
C5 0.000 -1.590 -0.340
C6 0.000 0.679 -1.468
C7 0.000 -0.679 -1.468
H8 0.000 0.000 2.708
H9 0.000 2.116 1.678
H10 0.000 -2.116 1.678
H11 0.000 2.648 -0.585
H12 0.000 -2.648 -0.585
H13 0.000 1.162 -2.443
H14 0.000 -1.162 -2.443

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41371.41372.52542.52543.16343.16341.08632.11692.11693.44743.44744.22754.2275
C21.41372.53481.37433.15402.53273.13952.13061.08883.45152.09904.22253.44014.2100
C31.41372.53483.15401.37433.13952.53272.13063.45151.08884.22252.09904.21003.4401
C42.52541.37433.15403.17941.44942.53333.43812.08544.21961.08634.24482.14563.4628
C52.52543.15401.37433.17942.53331.44943.43814.21962.08544.24481.08633.46282.1456
C63.16342.53273.13951.44942.53331.35784.23083.45814.20782.15773.44191.08812.0830
C73.16343.13952.53272.53331.44941.35784.23084.20783.45813.44192.15772.08301.0881
H81.08632.13062.13063.43813.43814.23084.23082.35382.35384.22614.22615.28055.2805
H92.11691.08883.45152.08544.21963.45814.20782.35384.23222.32475.27434.22955.2652
H102.11693.45151.08884.21962.08544.20783.45812.35384.23225.27432.32475.26524.2295
H113.44742.09904.22251.08634.24482.15773.44194.22612.32475.27435.29592.37884.2384
H123.44744.22252.09904.24481.08633.44192.15774.22615.27432.32475.29594.23842.3788
H134.22753.44014.21002.14563.46281.08812.08305.28054.22955.26522.37884.23842.3235
H144.22754.21003.44013.46282.14562.08301.08815.28055.26524.22954.23842.37882.3235

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 26.298 C1 C2 H9 114.921
C1 C7 C6 77.607 C1 C7 H14 166.049
C2 C1 C7 76.095 C2 C1 H8 116.298
C2 C3 C4 25.061 C2 C3 H10 141.219
C3 C2 H9 141.219 C3 C4 C5 25.061
C3 C4 H11 167.981 C4 C3 H10 166.280
C4 C5 C6 26.426 C4 C5 H12 166.959
C5 C4 H11 166.959 C5 C6 C7 26.426
C5 C6 H13 142.770 C6 C5 H12 140.533
C6 C7 H14 116.344 C7 C1 H8 167.607
C7 C6 H13 116.344
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.196      
2 C -0.112      
3 C -0.112      
4 C -0.175      
5 C -0.175      
6 C -0.136      
7 C -0.136      
8 H 0.147      
9 H 0.150      
10 H 0.150      
11 H 0.148      
12 H 0.148      
13 H 0.149      
14 H 0.149      


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 -0.067 0.067
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.032 0.000 0.000
y 0.000 -36.967 0.000
z 0.000 0.000 -36.971
Traceless
 xyz
x -10.062 0.000 0.000
y 0.000 5.034 0.000
z 0.000 0.000 5.028
Polar
3z2-r210.057
x2-y2-10.064
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.036 0.000 0.000
y 0.000 14.525 0.000
z 0.000 0.000 14.512


<r2> (average value of r2) Å2
<r2> 186.446
(<r2>)1/2 13.655

Conformer 2 (CS)

Jump to S1C1
Energy calculated at wB97X-D/cc-pVDZ
 hartrees
Energy at 0K-270.806823
Energy at 298.15K 
HF Energy-270.806823
Nuclear repulsion energy257.976876
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/cc-pVDZ
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' 3227 3074 0.03      
2 A' 3219 3067 48.83      
3 A' 3217 3065 37.46      
4 A' 3206 3054 11.53      
5 A' 3185 3035 9.03      
6 A' 3180 3030 0.82      
7 A' 3179 3028 9.53      
8 A' 1674 1595 7.51      
9 A' 1657 1578 4.81      
10 A' 1565 1491 10.14      
11 A' 1495 1424 2.18      
12 A' 1489 1419 5.42      
13 A' 1419 1352 0.09      
14 A' 1321 1258 0.15      
15 A' 1309 1247 1.02      
16 A' 1262 1202 1.32      
17 A' 1203 1146 2.27      
18 A' 985 938 6.72      
19 A' 975 929 3.69      
20 A' 919 876 0.86      
21 A' 906 863 1.28      
22 A' 855 814 0.22      
23 A' 446 425 0.23      
24 A' 420 400 0.29      
25 A' 132i 126i 23.73      
26 A" 1014 966 0.00      
27 A" 1001 953 0.00      
28 A" 994 947 0.85      
29 A" 856 815 0.00      
30 A" 776 740 0.03      
31 A" 776 739 0.03      
32 A" 654 623 96.93      
33 A" 566 539 0.00      
34 A" 512 487 45.83      
35 A" 286 272 0.00      
36 A" 139 133 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24876.2 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 23697.0 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/cc-pVDZ
ABC
0.12410 0.12409 0.06205

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.787 -1.393 0.000
C2 -0.815 -1.116 0.000
C3 1.645 -0.505 0.000
C4 -1.453 -0.205 0.000
C5 1.158 1.127 0.000
C6 -1.239 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 -0.149 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
C11.62541.23452.53482.54722.93002.86571.08192.21562.07393.54633.37873.90374.0162
C21.62542.53491.11212.98751.88912.60982.29291.09793.56291.97274.06072.64033.6171
C31.23452.53493.11231.70423.13522.48952.02233.35941.07594.19472.27534.16653.5652
C42.53481.11213.11232.93070.95422.13763.36061.89364.18811.08324.03011.53252.9013
C52.54722.98751.70422.93072.42971.18123.56924.06072.34553.90651.10363.33891.9967
C62.93001.88913.13520.95422.42971.39333.90982.81954.17751.56313.47041.03141.9683
C72.86572.60982.48952.13761.18121.39333.94743.69843.36552.95132.11552.19241.1505
H81.08192.29292.02233.36063.56923.90983.94742.39712.45644.25994.29214.82985.0978
H92.21561.09793.35941.89364.06072.81953.69842.39714.28782.29525.11393.35074.6676
H102.07393.56291.07594.18812.34554.17753.36552.45644.28785.27032.43715.20574.3358
H113.54631.97274.19471.08323.90651.56312.95134.25992.29525.27034.98501.33973.4258
H123.37874.06072.27534.03011.10363.47042.11554.29215.11392.43714.98504.30512.5182
H133.90372.64034.16651.53253.33891.03142.19244.82983.35075.20571.33974.30512.2818
H144.01623.61713.56522.90131.99671.96831.15055.09784.66764.33583.42582.51822.2818

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 23.732 C1 C2 H9 107.301
C1 C7 C6 78.673 C1 C7 H14 179.628
C2 C1 C7 64.277 C2 C1 H8 114.251
C2 C3 C4 19.480 C2 C3 H10 159.564
C3 C2 H9 131.033 C3 C4 C5 32.583
C3 C4 H11 177.421 C4 C3 H10 179.045
C4 C5 C6 17.506 C4 C5 H12 174.133
C5 C4 H11 149.996 C5 C6 C7 17.721
C5 C6 H13 146.533 C6 C5 H12 156.627
C6 C7 H14 100.955 C7 C1 H8 178.528
C7 C6 H13 128.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.108      
2 C -0.192      
3 C -0.189      
4 C -0.120      
5 C -0.123      
6 C -0.157      
7 C -0.153      
8 H 0.151      
9 H 0.147      
10 H 0.147      
11 H 0.150      
12 H 0.150      
13 H 0.149      
14 H 0.149      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.006 -0.068 0.000 0.068
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.969 -0.001 0.000
y -0.001 -36.968 0.000
z 0.000 0.000 -47.031
Traceless
 xyz
x 5.030 -0.001 0.000
y -0.001 5.032 0.000
z 0.000 0.000 -10.063
Polar
3z2-r2-20.125
x2-y2-0.001
xy-0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.522 -0.001 0.000
y -0.001 14.512 0.000
z 0.000 0.000 7.036


<r2> (average value of r2) Å2
<r2> 186.449
(<r2>)1/2 13.655