return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: wB97X-D/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-270.880184
Energy at 298.15K 
HF Energy-270.880184
Nuclear repulsion energy259.174869
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/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 3211 3071 2.76      
2 A1 3203 3064 33.99      
3 A1 3187 3049 7.77      
4 A1 3162 3025 3.28      
5 A1 1685 1612 0.84      
6 A1 1618 1547 15.10      
7 A1 1486 1421 5.54      
8 A1 1307 1251 0.37      
9 A1 1257 1203 3.14      
10 A1 975 932 3.02      
11 A1 922 882 1.07      
12 A1 854 817 0.25      
13 A1 421 402 0.29      
14 A2 1034 989 0.00      
15 A2 1001 958 0.00      
16 A2 772 738 0.00      
17 A2 562 537 0.00      
18 A2 289 277 0.00      
19 B1 1004 960 0.01      
20 B1 851 814 0.00      
21 B1 762 729 1.02      
22 B1 640 613 86.28      
23 B1 515 492 33.11      
24 B1 131 125 0.00      
25 B2 3197 3058 40.63      
26 B2 3173 3035 2.24      
27 B2 3164 3026 4.30      
28 B2 1569 1501 4.98      
29 B2 1497 1432 2.01      
30 B2 1422 1361 0.10      
31 B2 1316 1259 0.31      
32 B2 1199 1147 1.81      
33 B2 979 936 6.53      
34 B2 908 869 1.42      
35 B2 447 427 0.25      
36 B2 152i 146i 27.40      

Unscaled Zero Point Vibrational Energy (zpe) 24781.6 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 23706.1 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 wB97X-D/aug-cc-pVTZ
ABC
0.12528 0.12526 0.06263

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.613
C2 0.000 1.261 0.991
C3 0.000 -1.261 0.991
C4 0.000 1.581 -0.338
C5 0.000 -1.581 -0.338
C6 0.000 0.675 -1.461
C7 0.000 -0.675 -1.461
H8 0.000 0.000 2.695
H9 0.000 2.107 1.669
H10 0.000 -2.107 1.669
H11 0.000 2.635 -0.580
H12 0.000 -2.635 -0.580
H13 0.000 1.154 -2.432
H14 0.000 -1.154 -2.432

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.40651.40652.51142.51143.14723.14721.08172.10752.10753.42903.42904.20734.2073
C21.40652.52221.36633.13742.52053.12332.12031.08443.43562.08734.20133.42474.1893
C31.40652.52223.13741.36633.12332.52052.12033.43561.08444.20132.08734.18933.4247
C42.51141.36633.13743.16261.44342.51993.42022.07474.19881.08174.22382.13793.4454
C52.51143.13741.36633.16262.51991.44343.42024.19882.07474.22381.08173.44542.1379
C63.14722.52053.12331.44342.51991.34904.21013.44224.18722.14953.42511.08372.0708
C73.14723.12332.52052.51991.44341.34904.21014.18723.44223.42512.14952.07081.0837
H81.08172.12032.12033.42023.42024.21014.21012.34322.34324.20404.20405.25585.2558
H92.10751.08443.43562.07474.19883.44224.18722.34324.21352.31105.24884.21105.2400
H102.10753.43561.08444.19882.07474.18723.44222.34324.21355.24882.31105.24004.2110
H113.42902.08734.20131.08174.22382.14953.42514.20402.31105.24885.27102.37174.2180
H123.42904.20132.08734.22381.08173.42512.14954.20405.24882.31105.27104.21802.3717
H134.20733.42474.18932.13793.44541.08372.07085.25584.21105.24002.37174.21802.3081
H144.20734.18933.42473.44542.13792.07081.08375.25585.24004.21104.21802.37172.3081

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 26.283 C1 C2 H9 114.963
C1 C7 C6 77.624 C1 C7 H14 166.112
C2 C1 C7 76.092 C2 C1 H8 116.283
C2 C3 C4 25.047 C2 C3 H10 141.246
C3 C2 H9 141.246 C3 C4 C5 25.047
C3 C4 H11 167.916 C4 C3 H10 166.293
C4 C5 C6 26.465 C4 C5 H12 167.038
C5 C4 H11 167.038 C5 C6 C7 26.465
C5 C6 H13 142.729 C6 C5 H12 140.573
C6 C7 H14 116.264 C7 C1 H8 167.624
C7 C6 H13 116.264
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.577      
2 C -0.336      
3 C -0.336      
4 C -0.509      
5 C -0.509      
6 C -0.411      
7 C -0.411      
8 H 0.449      
9 H 0.440      
10 H 0.440      
11 H 0.444      
12 H 0.444      
13 H 0.438      
14 H 0.438      


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 -0.074 0.074
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.391 0.000 0.000
y 0.000 -37.219 0.000
z 0.000 0.000 -37.222
Traceless
 xyz
x -9.171 0.000 0.000
y 0.000 4.588 0.000
z 0.000 0.000 4.584
Polar
3z2-r29.167
x2-y2-9.173
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.750 0.000 0.000
y 0.000 15.040 0.000
z 0.000 0.000 15.026


<r2> (average value of r2) Å2
<r2> 184.932
(<r2>)1/2 13.599

Conformer 2 (CS)

Jump to S1C1
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-270.880167
Energy at 298.15K 
HF Energy-270.880167
Nuclear repulsion energy259.172815
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/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 A' 3211 3072 0.02      
2 A' 3203 3064 39.82      
3 A' 3201 3062 32.00      
4 A' 3190 3051 8.85      
5 A' 3169 3032 5.95      
6 A' 3163 3026 1.55      
7 A' 3163 3026 6.39      
8 A' 1667 1594 7.51      
9 A' 1646 1575 3.65      
10 A' 1557 1490 9.42      
11 A' 1494 1429 1.93      
12 A' 1489 1424 5.60      
13 A' 1422 1360 0.11      
14 A' 1316 1259 0.40      
15 A' 1306 1249 0.70      
16 A' 1259 1205 1.72      
17 A' 1198 1146 2.97      
18 A' 982 939 6.41      
19 A' 972 930 3.34      
20 A' 922 882 1.02      
21 A' 908 868 1.35      
22 A' 854 817 0.25      
23 A' 447 427 0.23      
24 A' 421 402 0.29      
25 A' 156i 149i 27.98      
26 A" 1015 971 0.00      
27 A" 993 950 0.00      
28 A" 987 944 0.57      
29 A" 858 821 0.00      
30 A" 779 746 0.00      
31 A" 778 744 0.00      
32 A" 655 627 83.17      
33 A" 563 538 0.00      
34 A" 506 484 36.60      
35 A" 285 273 0.00      
36 A" 130 125 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24776.7 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 23701.4 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 wB97X-D/aug-cc-pVTZ
ABC
0.12528 0.12525 0.06263

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.787 -1.391 0.000
C2 -0.814 -1.116 0.000
C3 1.644 -0.504 0.000
C4 -1.451 -0.206 0.000
C5 1.156 1.127 0.000
C6 -1.238 0.723 0.000
C7 0.000 1.363 0.000
H8 1.058 -2.438 0.000
H9 -1.313 -2.094 0.000
H10 2.712 -0.626 0.000
H11 -2.533 -0.156 0.000
H12 2.081 1.727 0.000
H13 -2.180 1.143 0.000
H14 -0.323 2.466 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.62431.23262.53252.54512.92792.86391.08142.21442.07153.54243.37593.90244.0137
C21.62432.53231.11142.98541.88792.60912.29131.09743.55981.96934.05782.64083.6161
C31.23262.53233.10881.70323.13262.48742.02013.35641.07534.19112.27414.16393.5625
C42.53251.11143.10882.92760.95282.13653.35811.89304.18401.08324.02621.53372.9004
C52.54512.98541.70322.92762.42791.17933.56664.05812.34433.90541.10283.33601.9945
C62.92791.88793.13260.95282.42791.39383.90722.81784.17441.56483.46801.03141.9690
C72.86392.60912.48742.13651.17931.39383.94503.69723.36282.95332.11282.19141.1499
H81.08142.29132.02013.35813.56663.90723.94502.39562.45364.25474.28884.82835.0948
H92.21441.09743.35641.89304.05812.81783.69722.39564.28422.28995.11053.35134.6662
H102.07153.55981.07534.18402.34434.17443.36282.45364.28425.26602.43595.20244.3324
H113.54241.96934.19111.08323.90541.56482.95334.25472.28995.26604.98351.34633.4295
H123.37594.05782.27414.02621.10283.46802.11284.28885.11052.43594.98354.30132.5149
H133.90242.64084.16391.53373.33601.03142.19144.82833.35135.20241.34634.30132.2806
H144.01373.61613.56252.90041.99451.96901.14995.09484.66624.33243.42952.51492.2806

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 23.716 C1 C2 H9 107.314
C1 C7 C6 78.645 C1 C7 H14 179.655
C2 C1 C7 64.313 C2 C1 H8 114.238
C2 C3 C4 19.497 C2 C3 H10 159.549
C3 C2 H9 131.030 C3 C4 C5 32.602
C3 C4 H11 177.118 C4 C3 H10 179.046
C4 C5 C6 17.504 C4 C5 H12 174.144
C5 C4 H11 150.279 C5 C6 C7 17.725
C5 C6 H13 146.375 C6 C5 H12 156.640
C6 C7 H14 101.011 C7 C1 H8 178.551
C7 C6 H13 128.650
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.336      
2 C -0.545      
3 C -0.543      
4 C -0.370      
5 C -0.372      
6 C -0.463      
7 C -0.460      
8 H 0.447      
9 H 0.442      
10 H 0.442      
11 H 0.442      
12 H 0.442      
13 H 0.438      
14 H 0.438      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.002 -0.076 0.000 0.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.220 -0.001 0.000
y -0.001 -37.218 0.000
z 0.000 0.000 -46.391
Traceless
 xyz
x 4.584 -0.001 0.000
y -0.001 4.587 0.000
z 0.000 0.000 -9.172
Polar
3z2-r2-18.343
x2-y2-0.002
xy-0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.039 -0.000 0.000
y -0.000 15.024 0.000
z 0.000 0.000 7.750


<r2> (average value of r2) Å2
<r2> 184.936
(<r2>)1/2 13.599