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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-271.115249
Energy at 298.15K-271.124352
Nuclear repulsion energy286.338334
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 PBEPBEultrafine/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 3177 3124 9.36      
2 A1 3065 3015 9.97      
3 A1 2999 2950 46.10      
4 A1 1623 1597 0.18      
5 A1 1467 1443 0.29      
6 A1 1231 1210 2.93      
7 A1 1102 1084 0.24      
8 A1 932 916 1.93      
9 A1 878 864 4.71      
10 A1 763 750 1.02      
11 A1 723 711 47.52      
12 A1 416 409 3.65      
13 A2 3149 3097 0.00      
14 A2 1265 1244 0.00      
15 A2 1232 1212 0.00      
16 A2 1108 1090 0.00      
17 A2 900 885 0.00      
18 A2 863 849 0.00      
19 A2 699 688 0.00      
20 A2 441 434 0.00      
21 B1 3174 3122 26.04      
22 B1 3061 3010 37.60      
23 B1 1582 1556 6.96      
24 B1 1206 1186 1.68      
25 B1 1058 1041 0.26      
26 B1 1013 996 0.17      
27 B1 892 877 1.00      
28 B1 650 639 30.58      
29 B1 492 484 6.62      
30 B2 3151 3099 15.14      
31 B2 3064 3013 58.82      
32 B2 1312 1290 20.01      
33 B2 1242 1221 0.00      
34 B2 1145 1126 0.96      
35 B2 946 930 0.00      
36 B2 891 876 1.27      
37 B2 864 850 4.18      
38 B2 794 781 6.75      
39 B2 532 523 1.49      

Unscaled Zero Point Vibrational Energy (zpe) 27550.0 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 27095.4 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 PBEPBEultrafine/6-31G*
ABC
0.14202 0.11938 0.10509

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.355
C2 0.000 1.125 0.272
C3 0.000 -1.125 0.272
C4 1.247 0.673 -0.520
C5 1.247 -0.673 -0.520
C6 -1.247 0.673 -0.520
C7 -1.247 -0.673 -0.520
H8 -0.909 0.000 1.982
H9 0.909 0.000 1.982
H10 0.000 2.170 0.618
H11 0.000 -2.170 0.618
H12 1.939 1.350 -1.027
H13 1.939 -1.350 -1.027
H14 -1.939 1.350 -1.027
H15 -1.939 -1.350 -1.027

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56201.56202.35082.35082.35082.35081.10371.10372.29142.29143.35503.35503.35503.3550
C21.56202.25081.54542.32731.54542.32732.23952.23951.10013.31322.34443.40192.34443.4019
C31.56202.25082.32731.54542.32731.54542.23952.23953.31321.10013.40192.34443.40192.3444
C42.35081.54542.32731.34532.49402.83373.37072.61332.25683.30621.09252.19673.29593.8072
C52.35082.32731.54541.34532.83372.49403.37072.61333.30622.25682.19671.09253.80723.2959
C62.35081.54542.32732.49402.83371.34532.61333.37072.25683.30623.29593.80721.09252.1967
C72.35082.32731.54542.83372.49401.34532.61333.37073.30622.25683.80723.29592.19671.0925
H81.10372.23952.23953.37073.37072.61332.61331.81722.71892.71894.35694.35693.45503.4550
H91.10372.23952.23952.61332.61333.37073.37071.81722.71892.71893.45503.45504.35694.3569
H102.29141.10013.31322.25683.30622.25683.30622.71892.71894.33932.67164.34192.67164.3419
H112.29143.31321.10013.30622.25683.30622.25682.71892.71894.33934.34192.67164.34192.6716
H123.35502.34443.40191.09252.19673.29593.80724.35693.45502.67164.34192.69973.87714.7245
H133.35503.40192.34442.19671.09253.80723.29594.35693.45504.34192.67162.69974.72453.8771
H143.35502.34443.40193.29593.80721.09252.19673.45504.35692.67164.34193.87714.72452.6997
H153.35503.40192.34443.80723.29592.19671.09253.45504.35694.34192.67164.72453.87712.6997

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.313 C1 C2 C6 98.313
C1 C2 H10 117.754 C1 C3 C5 98.313
C1 C3 C7 98.313 C1 C3 H11 117.754
C2 C1 C3 92.193 C2 C1 H8 113.185
C2 C1 H9 113.185 C2 C4 C5 107.037
C2 C4 H12 124.542 C2 C6 C7 107.037
C2 C6 H14 124.542 C3 C1 H8 113.185
C3 C1 H9 113.185 C3 C5 C4 107.037
C3 C5 H13 124.542 C3 C7 C6 107.037
C3 C7 H15 124.542 C4 C2 C6 107.589
C4 C2 H10 116.072 C4 C5 H13 128.308
C5 C3 C7 107.589 C5 C3 H11 116.072
C5 C4 H12 128.308 C6 C2 H10 116.072
C6 C7 H15 128.308 C7 C3 H11 116.072
C7 C6 H14 128.308 H8 C1 H9 110.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.268      
2 C -0.231      
3 C -0.231      
4 C -0.096      
5 C -0.096      
6 C -0.096      
7 C -0.096      
8 H 0.151      
9 H 0.151      
10 H 0.131      
11 H 0.131      
12 H 0.137      
13 H 0.137      
14 H 0.137      
15 H 0.137      


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 -0.037 0.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.418 0.000 0.000
y 0.000 -38.544 0.000
z 0.000 0.000 -42.144
Traceless
 xyz
x -1.073 0.000 0.000
y 0.000 3.237 0.000
z 0.000 0.000 -2.163
Polar
3z2-r2-4.326
x2-y2-2.873
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.415 0.000 0.000
y 0.000 10.809 0.000
z 0.000 0.000 7.776


<r2> (average value of r2) Å2
<r2> 153.439
(<r2>)1/2 12.387