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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-271.135513
Energy at 298.15K-271.144644
Nuclear repulsion energy286.713634
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 PBEPBE/6-31G(2df,p)
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 3175 3142 7.80      
2 A1 3060 3028 8.52      
3 A1 2988 2957 43.69      
4 A1 1611 1594 0.18      
5 A1 1430 1415 0.61      
6 A1 1219 1207 2.53      
7 A1 1096 1085 0.26      
8 A1 929 920 1.93      
9 A1 876 867 4.68      
10 A1 760 752 2.45      
11 A1 730 722 39.90      
12 A1 417 412 2.75      
13 A2 3146 3113 0.00      
14 A2 1245 1232 0.00      
15 A2 1214 1202 0.00      
16 A2 1097 1086 0.00      
17 A2 896 887 0.00      
18 A2 873 864 0.00      
19 A2 698 691 0.00      
20 A2 440 435 0.00      
21 B1 3172 3139 20.13      
22 B1 3055 3024 34.03      
23 B1 1570 1554 7.25      
24 B1 1189 1177 1.68      
25 B1 1048 1037 0.08      
26 B1 997 986 0.14      
27 B1 887 878 0.94      
28 B1 660 653 27.77      
29 B1 485 480 4.94      
30 B2 3147 3115 10.79      
31 B2 3058 3026 55.40      
32 B2 1296 1283 20.53      
33 B2 1225 1212 0.06      
34 B2 1132 1121 1.03      
35 B2 941 931 0.00      
36 B2 893 884 1.90      
37 B2 865 856 2.83      
38 B2 792 784 6.75      
39 B2 530 524 1.62      

Unscaled Zero Point Vibrational Energy (zpe) 27419.1 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 27136.6 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 PBEPBE/6-31G(2df,p)
ABC
0.14234 0.11965 0.10541

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.355
C2 0.000 1.124 0.273
C3 0.000 -1.124 0.273
C4 1.245 0.671 -0.521
C5 1.245 -0.671 -0.521
C6 -1.245 0.671 -0.521
C7 -1.245 -0.671 -0.521
H8 -0.908 0.000 1.979
H9 0.908 0.000 1.979
H10 0.000 2.167 0.616
H11 0.000 -2.167 0.616
H12 1.935 1.349 -1.023
H13 1.935 -1.349 -1.023
H14 -1.935 1.349 -1.023
H15 -1.935 -1.349 -1.023

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56011.56012.34932.34932.34932.34931.10201.10202.28942.28943.34933.34933.34933.3493
C21.56012.24811.54472.32441.54472.32442.23582.23581.09783.30872.33963.39712.33963.3971
C31.56012.24812.32441.54472.32441.54472.23582.23583.30871.09783.39712.33963.39712.3396
C42.34931.54472.32441.34202.49062.82913.36702.61012.25403.30091.08982.19303.29033.8010
C52.34932.32441.54471.34202.82912.49063.36702.61013.30092.25402.19301.08983.80103.2903
C62.34931.54472.32442.49062.82911.34202.61013.36702.25403.30093.29033.80101.08982.1930
C72.34932.32441.54472.82912.49061.34202.61013.36703.30092.25403.80103.29032.19301.0898
H81.10202.23582.23583.36703.36702.61012.61011.81662.71632.71634.34924.34923.44753.4475
H91.10202.23582.23582.61012.61013.36703.36701.81662.71632.71633.44753.44754.34924.3492
H102.28941.09783.30872.25403.30092.25403.30092.71632.71634.33372.66424.33502.66424.3350
H112.28943.30871.09783.30092.25403.30092.25402.71632.71634.33374.33502.66424.33502.6642
H123.34932.33963.39711.08982.19303.29033.80104.34923.44752.66424.33502.69863.86994.7179
H133.34933.39712.33962.19301.08983.80103.29034.34923.44754.33502.66422.69864.71793.8699
H143.34932.33963.39713.29033.80101.08982.19303.44754.34922.66424.33503.86994.71792.6986
H153.34933.39712.33963.80103.29032.19301.08983.44754.34924.33502.66424.71793.86992.6986

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.339 C1 C2 C6 98.339
C1 C2 H10 117.888 C1 C3 C5 98.339
C1 C3 C7 98.339 C1 C3 H11 117.888
C2 C1 C3 92.188 C2 C1 H8 113.124
C2 C1 H9 113.124 C2 C4 C5 107.055
C2 C4 H12 124.356 C2 C6 C7 107.055
C2 C6 H14 124.356 C3 C1 H8 113.124
C3 C1 H9 113.124 C3 C5 C4 107.055
C3 C5 H13 124.356 C3 C7 C6 107.055
C3 C7 H15 124.356 C4 C2 C6 107.450
C4 C2 H10 116.050 C4 C5 H13 128.490
C5 C3 C7 107.450 C5 C3 H11 116.050
C5 C4 H12 128.490 C6 C2 H10 116.050
C6 C7 H15 128.490 C7 C3 H11 116.050
C7 C6 H14 128.490 H8 C1 H9 111.014
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.211      
2 C -0.124      
3 C -0.124      
4 C -0.074      
5 C -0.074      
6 C -0.074      
7 C -0.074      
8 H 0.106      
9 H 0.106      
10 H 0.068      
11 H 0.068      
12 H 0.102      
13 H 0.102      
14 H 0.102      
15 H 0.102      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.013 0.013
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.428 0.000 0.000
y 0.000 -38.682 0.000
z 0.000 0.000 -42.089
Traceless
 xyz
x -1.042 0.000 0.000
y 0.000 3.077 0.000
z 0.000 0.000 -2.034
Polar
3z2-r2-4.068
x2-y2-2.746
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.803 0.000 0.000
y 0.000 11.004 0.000
z 0.000 0.000 8.183


<r2> (average value of r2) Å2
<r2> 153.119
(<r2>)1/2 12.374