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

using model chemistry: B97D3/6-311+G(3df,2p)

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 B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-270.794902
Energy at 298.15K-270.800913
HF Energy-270.794902
Nuclear repulsion energy257.778419
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 B97D3/6-311+G(3df,2p)
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 3123 3082 2.97      
2 A1 3114 3073 33.68      
3 A1 3096 3055 23.08      
4 A1 3071 3031 6.02      
5 A1 1606 1585 0.91      
6 A1 1564 1544 16.45      
7 A1 1443 1424 5.06      
8 A1 1260 1244 0.72      
9 A1 1218 1202 2.58      
10 A1 946 933 2.56      
11 A1 888 877 0.75      
12 A1 832 821 0.23      
13 A1 411 405 0.21      
14 A2 981 969 0.00      
15 A2 965 953 0.00      
16 A2 746 737 0.00      
17 A2 543 536 0.00      
18 A2 274 270 0.00      
19 B1 960 947 0.35      
20 B1 825 815 0.01      
21 B1 742 732 0.74      
22 B1 633 624 75.79      
23 B1 494 487 32.60      
24 B1 137 136 0.00      
25 B2 3113 3073 51.81      
26 B2 3078 3038 2.83      
27 B2 3071 3031 10.22      
28 B2 1513 1493 5.79      
29 B2 1448 1429 0.63      
30 B2 1383 1365 0.00      
31 B2 1277 1260 0.16      
32 B2 1165 1150 2.57      
33 B2 950 938 7.58      
34 B2 881 869 1.48      
35 B2 437 431 0.18      
36 B2 89 88 24.80      

Unscaled Zero Point Vibrational Energy (zpe) 24137.1 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 23823.3 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 B97D3/6-311+G(3df,2p)
ABC
0.12396 0.12389 0.06196

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.626
C2 0.000 1.267 0.998
C3 0.000 -1.267 0.998
C4 0.000 1.589 -0.343
C5 0.000 -1.589 -0.343
C6 0.000 0.681 -1.468
C7 0.000 -0.681 -1.468
H8 0.000 0.000 2.712
H9 0.000 2.116 1.681
H10 0.000 -2.116 1.681
H11 0.000 2.647 -0.591
H12 0.000 -2.647 -0.591
H13 0.000 1.162 -2.445
H14 0.000 -1.162 -2.445

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41371.41372.52932.52933.16773.16771.08652.11702.11703.45253.45254.23334.2333
C21.41372.53311.37833.15412.53423.14212.13151.09043.45122.10464.22363.44444.2131
C31.41372.53313.15411.37833.14212.53422.13153.45121.09044.22362.10464.21313.4444
C42.52931.37833.15413.17731.44572.53353.44302.09114.22151.08704.24272.14553.4621
C52.52933.15411.37833.17732.53351.44573.44304.22152.09114.24271.08703.46212.1455
C63.16772.53423.14211.44572.53351.36234.23523.46054.21202.15233.44151.08912.0861
C73.16773.14212.53422.53351.44571.36234.23524.21203.46053.44152.15232.08611.0891
H81.08652.13152.13153.44303.44304.23524.23522.35422.35424.23294.23295.28655.2865
H92.11701.09043.45122.09114.22153.46054.21202.35424.23262.33325.27734.23505.2698
H102.11703.45121.09044.22152.09114.21203.46052.35424.23265.27732.33325.26984.2350
H113.45252.10464.22361.08704.24272.15233.44154.23292.33325.27735.29362.37534.2359
H123.45254.22362.10464.24271.08703.44152.15234.23295.27732.33325.29364.23592.3753
H134.23333.44444.21312.14553.46211.08912.08615.28654.23505.26982.37534.23592.3237
H144.23334.21313.44443.46212.14552.08611.08915.28655.26984.23504.23592.37532.3237

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 26.372 C1 C2 H9 114.826
C1 C7 C6 77.583 C1 C7 H14 166.222
C2 C1 C7 76.045 C2 C1 H8 116.372
C2 C3 C4 25.145 C2 C3 H10 141.198
C3 C2 H9 141.198 C3 C4 C5 25.145
C3 C4 H11 168.080 C4 C3 H10 166.342
C4 C5 C6 26.374 C4 C5 H12 166.776
C5 C4 H11 166.776 C5 C6 C7 26.374
C5 C6 H13 142.569 C6 C5 H12 140.402
C6 C7 H14 116.195 C7 C1 H8 167.583
C7 C6 H13 116.195
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.223      
2 C 0.046      
3 C 0.046      
4 C -0.203      
5 C -0.203      
6 C -0.087      
7 C -0.087      
8 H 0.103      
9 H 0.100      
10 H 0.100      
11 H 0.103      
12 H 0.103      
13 H 0.101      
14 H 0.101      


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 -0.063 0.063
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.524 0.000 0.000
y 0.000 -37.791 0.000
z 0.000 0.000 -37.786
Traceless
 xyz
x -8.735 0.000 0.000
y 0.000 4.364 0.000
z 0.000 0.000 4.372
Polar
3z2-r28.743
x2-y2-8.733
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.882 0.000 0.000
y 0.000 15.653 0.000
z 0.000 0.000 15.624


<r2> (average value of r2) Å2
<r2> 186.921
(<r2>)1/2 13.672

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-270.794890
Energy at 298.15K 
HF Energy-270.794890
Nuclear repulsion energy257.775241
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 B97D3/6-311+G(3df,2p)
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' 3123 3083 4.22      
2 A' 3115 3074 38.23      
3 A' 3112 3071 49.29      
4 A' 3097 3056 20.07      
5 A' 3079 3039 3.09      
6 A' 3073 3033 7.27      
7 A' 3071 3031 8.29      
8 A' 1599 1578 5.14      
9 A' 1573 1553 9.10      
10 A' 1507 1488 9.75      
11 A' 1451 1432 1.38      
12 A' 1441 1422 3.63      
13 A' 1383 1365 0.00      
14 A' 1276 1260 0.16      
15 A' 1259 1243 0.77      
16 A' 1218 1202 2.25      
17 A' 1165 1149 3.14      
18 A' 954 942 6.48      
19 A' 942 929 3.34      
20 A' 888 876 0.67      
21 A' 881 869 1.51      
22 A' 832 822 0.22      
23 A' 437 432 0.19      
24 A' 410 404 0.23      
25 A' 107i 106i 24.82      
26 A" 981 968 0.00      
27 A" 965 952 0.00      
28 A" 959 946 0.31      
29 A" 825 814 0.00      
30 A" 747 738 0.60      
31 A" 739 730 0.14      
32 A" 631 623 75.51      
33 A" 543 536 0.00      
34 A" 493 487 33.10      
35 A" 274 271 0.00      
36 A" 136 134 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24033.4 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 23721.0 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 B97D3/6-311+G(3df,2p)
ABC
0.12393 0.12390 0.06196

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 -1.612 0.000
C2 -1.260 -1.027 0.000
C3 1.268 -1.017 0.000
C4 -1.572 0.376 0.000
C5 1.569 0.377 0.000
C6 -0.728 1.449 0.000
C7 0.722 1.454 0.000
H8 0.003 -2.702 0.000
H9 -2.111 -1.702 0.000
H10 2.121 -1.691 0.000
H11 -2.636 0.609 0.000
H12 2.633 0.615 0.000
H13 -1.194 2.432 0.000
H14 1.185 2.438 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.38921.40042.53412.53343.14573.14911.09052.11332.12203.44683.44844.21614.2192
C21.38922.52821.43713.15862.53203.17502.09821.08673.44532.13764.22513.45914.2404
C31.40042.52823.16341.42683.17262.53072.10663.44811.08644.22942.12814.23813.4563
C42.53411.43713.16343.14111.36482.53433.45772.14724.23161.08944.21152.08993.4424
C52.53343.15861.42683.14112.53471.36993.45474.22742.14044.21171.08993.44382.0961
C63.14572.53203.17261.36482.53471.44984.21463.44124.23922.08483.46241.08822.1534
C73.14913.17502.53072.53431.36991.44984.21744.24113.44163.46262.08662.15171.0876
H81.09052.09822.10663.45773.45474.21464.21742.33902.34644.23434.23345.27175.2740
H92.11331.08673.44812.14724.22743.44124.24112.33904.23192.37015.28004.23435.2920
H102.12203.44531.08644.23162.14044.23923.44162.34644.23195.28352.36265.29024.2334
H113.44682.13764.22941.08944.21172.08483.46264.23432.37015.28355.26892.32374.2361
H123.44844.22512.12814.21151.08993.46242.08664.23345.28002.36265.26894.23652.3275
H134.21613.45914.23812.08993.44381.08822.15175.27174.23435.29022.32374.23652.3796
H144.21924.24043.45633.44242.09612.15341.08765.27405.29204.23344.23612.32752.3796

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 25.108 C1 C2 H9 116.674
C1 C7 C6 76.551 C1 C7 H14 168.060
C2 C1 C7 78.356 C2 C1 H8 115.065
C2 C3 C4 26.349 C2 C3 H10 141.478
C3 C2 H9 141.782 C3 C4 C5 26.158
C3 C4 H11 166.210 C4 C3 H10 167.827
C4 C5 C6 25.027 C4 C5 H12 167.395
C5 C4 H11 167.631 C5 C6 C7 25.202
C5 C6 H13 140.407 C6 C5 H12 142.368
C6 C7 H14 115.389 C7 C1 H8 166.580
C7 C6 H13 115.205
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.063      
2 C -0.214      
3 C -0.221      
4 C -0.037      
5 C 0.006      
6 C -0.136      
7 C -0.172      
8 H 0.100      
9 H 0.103      
10 H 0.103      
11 H 0.101      
12 H 0.100      
13 H 0.102      
14 H 0.102      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.018 0.062 0.000 0.064
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.782 -0.004 0.000
y -0.004 -37.793 0.000
z 0.000 0.000 -46.523
Traceless
 xyz
x 4.376 -0.004 0.000
y -0.004 4.359 0.000
z 0.000 0.000 -8.736
Polar
3z2-r2-17.472
x2-y20.011
xy-0.004
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.633 0.007 -0.002
y 0.007 15.638 0.002
z -0.002 0.002 7.878


<r2> (average value of r2) Å2
<r2> 186.924
(<r2>)1/2 13.672