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

using model chemistry: B3LYP/Def2TZVPP

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 B3LYP/Def2TZVPP
 hartrees
Energy at 0K-270.994230
Energy at 298.15K 
HF Energy-270.994230
Nuclear repulsion energy258.633087
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 B3LYP/Def2TZVPP
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 3183 3064 3.05      
2 A1 3174 3056 26.20      
3 A1 3157 3039 17.56      
4 A1 3134 3017 4.45      
5 A1 1650 1588 2.19      
6 A1 1594 1535 14.32      
7 A1 1482 1426 6.86      
8 A1 1288 1240 0.87      
9 A1 1244 1198 2.97      
10 A1 964 928 2.68      
11 A1 918 883 0.83      
12 A1 847 816 0.19      
13 A1 421 405 0.26      
14 A2 1013 975 0.00      
15 A2 999 961 0.00      
16 A2 771 743 0.00      
17 A2 568 547 0.00      
18 A2 290 280 0.00      
19 B1 990 953 0.35      
20 B1 850 818 0.01      
21 B1 766 737 1.04      
22 B1 653 629 78.17      
23 B1 519 500 36.55      
24 B1 153 148 0.00      
25 B2 3173 3055 40.47      
26 B2 3141 3023 2.61      
27 B2 3134 3017 7.47      
28 B2 1553 1495 7.12      
29 B2 1486 1430 1.49      
30 B2 1422 1369 0.01      
31 B2 1309 1260 0.11      
32 B2 1189 1144 2.39      
33 B2 967 931 6.63      
34 B2 909 875 1.15      
35 B2 448 431 0.21      
36 B2 68i 66i 24.72      

Unscaled Zero Point Vibrational Energy (zpe) 24645.8 cm-1
Scaled (by 0.9626) Zero Point Vibrational Energy (zpe) 23724.0 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 B3LYP/Def2TZVPP
ABC
0.12475 0.12468 0.06236

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.618
C2 0.000 1.264 0.994
C3 0.000 -1.264 0.994
C4 0.000 1.586 -0.340
C5 0.000 -1.586 -0.340
C6 0.000 0.677 -1.464
C7 0.000 -0.677 -1.464
H8 0.000 0.000 2.700
H9 0.000 2.110 1.673
H10 0.000 -2.110 1.673
H11 0.000 2.640 -0.584
H12 0.000 -2.640 -0.584
H13 0.000 1.157 -2.436
H14 0.000 -1.157 -2.436

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.40961.40962.51962.51963.15533.15531.08202.11062.11063.43793.43794.21604.2160
C21.40962.52751.37193.14602.52633.13152.12351.08493.44132.09374.21043.43144.1979
C31.40962.52753.14601.37193.13152.52632.12353.44131.08494.21042.09374.19793.4314
C42.51961.37193.14603.17131.44492.52663.42882.07974.20801.08214.23252.13953.4519
C52.51963.14601.37193.17132.52661.44493.42884.20802.07974.23251.08213.45192.1395
C63.15532.52633.13151.44492.52661.35464.21863.44794.19582.15053.43171.08432.0761
C73.15533.13152.52632.52661.44491.35464.21864.19583.44793.43172.15052.07611.0843
H81.08202.12352.12353.42883.42884.21864.21862.34682.34684.21384.21385.26495.2649
H92.11061.08493.44132.07974.20803.44794.19582.34684.21982.31825.25864.21775.2491
H102.11063.44131.08494.20802.07974.19583.44792.34684.21985.25862.31825.24914.2177
H113.43792.09374.21041.08214.23252.15053.43174.21382.31825.25865.27972.37234.2243
H123.43794.21042.09374.23251.08213.43172.15054.21385.25862.31825.27974.22432.3723
H134.21603.43144.19792.13953.45191.08432.07615.26494.21775.24912.37234.22432.3139
H144.21604.19793.43143.45192.13952.07611.08435.26495.24914.21774.22432.37232.3139

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 26.297 C1 C2 H9 114.960
C1 C7 C6 77.605 C1 C7 H14 166.139
C2 C1 C7 76.098 C2 C1 H8 116.297
C2 C3 C4 25.081 C2 C3 H10 141.257
C3 C2 H9 141.257 C3 C4 C5 25.081
C3 C4 H11 167.966 C4 C3 H10 166.338
C4 C5 C6 26.407 C4 C5 H12 166.952
C5 C4 H11 166.952 C5 C6 C7 26.407
C5 C6 H13 142.663 C6 C5 H12 140.545
C6 C7 H14 116.256 C7 C1 H8 167.605
C7 C6 H13 116.256
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.148      
2 C -0.082      
3 C -0.082      
4 C -0.134      
5 C -0.134      
6 C -0.103      
7 C -0.103      
8 H 0.111      
9 H 0.113      
10 H 0.113      
11 H 0.112      
12 H 0.112      
13 H 0.113      
14 H 0.113      


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 -0.066 0.066
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.520 0.000 0.000
y 0.000 -37.774 0.000
z 0.000 0.000 -37.776
Traceless
 xyz
x -8.745 0.000 0.000
y 0.000 4.374 0.000
z 0.000 0.000 4.371
Polar
3z2-r28.743
x2-y2-8.746
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.787 0.000 0.000
y 0.000 14.691 0.000
z 0.000 0.000 14.672


<r2> (average value of r2) Å2
<r2> 185.865
(<r2>)1/2 13.633

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/Def2TZVPP
 hartrees
Energy at 0K-270.994212
Energy at 298.15K 
HF Energy-270.994212
Nuclear repulsion energy258.633222
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 B3LYP/Def2TZVPP
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' 3183 3064 2.93      
2 A' 3175 3057 30.30      
3 A' 3172 3054 38.56      
4 A' 3158 3040 15.39      
5 A' 3141 3024 3.48      
6 A' 3136 3018 5.34      
7 A' 3134 3017 5.71      
8 A' 1638 1577 9.06      
9 A' 1612 1552 3.02      
10 A' 1543 1485 12.26      
11 A' 1490 1434 2.54      
12 A' 1479 1424 5.10      
13 A' 1422 1368 0.01      
14 A' 1308 1259 0.11      
15 A' 1288 1239 0.98      
16 A' 1245 1198 2.20      
17 A' 1188 1143 3.40      
18 A' 972 936 5.96      
19 A' 960 924 3.17      
20 A' 917 883 0.78      
21 A' 909 875 1.18      
22 A' 847 816 0.19      
23 A' 448 431 0.22      
24 A' 420 405 0.27      
25 A' 121i 117i 24.47      
26 A" 1014 976 0.00      
27 A" 999 962 0.00      
28 A" 991 953 0.27      
29 A" 849 818 0.00      
30 A" 772 743 1.11      
31 A" 761 733 0.01      
32 A" 651 627 78.22      
33 A" 567 546 0.00      
34 A" 519 500 36.60      
35 A" 290 279 0.00      
36 A" 152 147 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24614.9 cm-1
Scaled (by 0.9626) Zero Point Vibrational Energy (zpe) 23694.3 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 B3LYP/Def2TZVPP
ABC
0.12472 0.12471 0.06236

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.787 -1.392 0.000
C2 -0.814 -1.116 0.000
C3 1.644 -0.505 0.000
C4 -1.451 -0.205 0.000
C5 1.156 1.128 0.000
C6 -1.239 0.724 0.000
C7 0.000 1.363 0.000
H8 1.058 -2.439 0.000
H9 -1.314 -2.094 0.000
H10 2.713 -0.626 0.000
H11 -2.534 -0.156 0.000
H12 2.082 1.728 0.000
H13 -2.181 1.144 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
C11.62521.23292.53332.54642.92902.86491.08162.21522.07213.54413.37713.90384.0153
C21.62522.53341.11132.98631.88812.60952.29211.09763.56111.96994.05892.64123.6168
C31.23292.53343.10981.70453.13382.48862.02073.35751.07554.19302.27514.16543.5644
C42.53331.11133.10982.92820.95302.13673.35891.89324.18511.08434.02711.53412.9007
C52.54642.98631.70452.92822.42851.17953.56814.05922.34533.90691.10303.33681.9953
C62.92901.88813.13380.95302.42851.39403.90822.81824.17571.56563.46891.03171.9692
C72.86492.60952.48862.13671.17951.39403.94623.69783.36392.95442.11342.19181.1504
H81.08162.29212.02073.35893.56813.90823.94622.39642.45484.25624.29044.82965.0965
H92.21521.09763.35751.89324.05922.81823.69782.39644.28572.29035.11183.35174.6670
H102.07213.56111.07554.18512.34534.17573.36392.45484.28575.26812.43675.20394.3342
H113.54411.96994.19301.08433.90691.56562.95444.25622.29035.26814.98531.34683.4302
H123.37714.05892.27514.02711.10303.46892.11344.29045.11182.43674.98534.30232.5161
H133.90382.64124.16541.53413.33681.03172.19184.82963.35175.20391.34684.30232.2806
H144.01533.61683.56442.90071.99531.96921.15045.09654.66704.33423.43022.51612.2806

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 23.714 C1 C2 H9 107.306
C1 C7 C6 78.650 C1 C7 H14 179.630
C2 C1 C7 64.293 C2 C1 H8 114.230
C2 C3 C4 19.489 C2 C3 H10 159.586
C3 C2 H9 131.020 C3 C4 C5 32.618
C3 C4 H11 177.106 C4 C3 H10 179.075
C4 C5 C6 17.503 C4 C5 H12 174.160
C5 C4 H11 150.275 C5 C6 C7 17.716
C5 C6 H13 146.365 C6 C5 H12 156.657
C6 C7 H14 100.980 C7 C1 H8 178.523
C7 C6 H13 128.649
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.079      
2 C -0.144      
3 C -0.144      
4 C -0.091      
5 C -0.090      
6 C -0.118      
7 C -0.120      
8 H 0.113      
9 H 0.111      
10 H 0.111      
11 H 0.113      
12 H 0.113      
13 H 0.112      
14 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.003 -0.068 0.000 0.068
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.772 -0.001 0.000
y -0.001 -37.777 0.000
z 0.000 0.000 -46.520
Traceless
 xyz
x 4.376 -0.001 0.000
y -0.001 4.369 0.000
z 0.000 0.000 -8.745
Polar
3z2-r2-17.491
x2-y20.005
xy-0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.682 0.000 0.000
y 0.000 14.680 0.000
z 0.000 0.000 6.786


<r2> (average value of r2) Å2
<r2> 185.865
(<r2>)1/2 13.633