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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-271.134728
Energy at 298.15K-271.143854
Nuclear repulsion energy286.117293
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3171 3153 7.20      
2 A1 3059 3041 8.63      
3 A1 2985 2967 44.85      
4 A1 1614 1605 0.28      
5 A1 1407 1399 0.95      
6 A1 1213 1206 3.00      
7 A1 1083 1077 0.39      
8 A1 927 921 1.41      
9 A1 875 870 4.85      
10 A1 760 756 1.57      
11 A1 722 718 45.52      
12 A1 415 413 3.35      
13 A2 3142 3123 0.00      
14 A2 1242 1235 0.00      
15 A2 1205 1198 0.00      
16 A2 1087 1081 0.00      
17 A2 894 889 0.00      
18 A2 873 868 0.00      
19 A2 696 692 0.00      
20 A2 438 436 0.00      
21 B1 3168 3150 17.56      
22 B1 3054 3036 35.18      
23 B1 1572 1563 8.63      
24 B1 1181 1174 2.33      
25 B1 1033 1027 0.35      
26 B1 989 983 0.09      
27 B1 892 887 1.00      
28 B1 649 646 29.01      
29 B1 486 484 5.60      
30 B2 3143 3125 10.20      
31 B2 3057 3039 55.46      
32 B2 1287 1280 19.70      
33 B2 1216 1209 0.05      
34 B2 1134 1127 0.86      
35 B2 940 934 0.00      
36 B2 896 890 1.80      
37 B2 864 859 3.40      
38 B2 792 787 7.48      
39 B2 529 525 1.48      

Unscaled Zero Point Vibrational Energy (zpe) 27344.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 27185.8 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/cc-pVDZ
ABC
0.14165 0.11939 0.10509

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.356
C2 0.000 1.126 0.275
C3 0.000 -1.126 0.275
C4 1.245 0.674 -0.521
C5 1.245 -0.674 -0.521
C6 -1.245 0.674 -0.521
C7 -1.245 -0.674 -0.521
H8 -0.913 0.000 1.984
H9 0.913 0.000 1.984
H10 0.000 2.175 0.621
H11 0.000 -2.175 0.621
H12 1.941 1.352 -1.031
H13 1.941 -1.352 -1.031
H14 -1.941 1.352 -1.031
H15 -1.941 -1.352 -1.031

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56071.56072.35112.35112.35112.35111.10861.10862.29512.29513.36053.36053.36053.3605
C21.56072.25151.54552.32871.54552.32872.24122.24121.10463.31852.35053.40792.35053.4079
C31.56072.25152.32871.54552.32871.54552.24122.24123.31851.10463.40792.35053.40792.3505
C42.35111.54552.32871.34782.49052.83183.37492.61542.26023.31211.09752.20213.29753.8103
C52.35112.32871.54551.34782.83182.49053.37492.61543.31212.26022.20211.09753.81033.2975
C62.35111.54552.32872.49052.83181.34782.61543.37492.26023.31213.29753.81031.09752.2021
C72.35112.32871.54552.83182.49051.34782.61543.37493.31212.26023.81033.29752.20211.0975
H81.10862.24122.24123.37493.37492.61542.61541.82672.72382.72384.36664.36663.46053.4605
H91.10862.24122.24122.61542.61543.37493.37491.82672.72382.72383.46053.46054.36664.3666
H102.29511.10463.31852.26023.31212.26023.31212.72382.72384.34912.67884.35172.67884.3517
H112.29513.31851.10463.31212.26023.31212.26022.72382.72384.34914.35172.67884.35172.6788
H123.36052.35053.40791.09752.20213.29753.81034.36663.46052.67884.35172.70433.88264.7315
H133.36053.40792.35052.20211.09753.81033.29754.36663.46054.35172.67882.70434.73153.8826
H143.36052.35053.40793.29753.81031.09752.20213.46054.36662.67884.35173.88264.73152.7043
H153.36053.40792.35053.81033.29752.20211.09753.46054.36664.35172.67884.73153.88262.7043

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.385 C1 C2 C6 98.385
C1 C2 H10 117.867 C1 C3 C5 98.385
C1 C3 C7 98.385 C1 C3 H11 117.867
C2 C1 C3 92.328 C2 C1 H8 113.112
C2 C1 H9 113.112 C2 C4 C5 107.001
C2 C4 H12 124.721 C2 C6 C7 107.001
C2 C6 H14 124.721 C3 C1 H8 113.112
C3 C1 H9 113.112 C3 C5 C4 107.001
C3 C5 H13 124.721 C3 C7 C6 107.001
C3 C7 H15 124.721 C4 C2 C6 107.363
C4 C2 H10 116.060 C4 C5 H13 128.172
C5 C3 C7 107.363 C5 C3 H11 116.060
C5 C4 H12 128.172 C6 C2 H10 116.060
C6 C7 H15 128.172 C7 C3 H11 116.060
C7 C6 H14 128.172 H8 C1 H9 110.951
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.117      
2 C -0.081      
3 C -0.081      
4 C 0.047      
5 C 0.047      
6 C 0.047      
7 C 0.047      
8 H 0.012      
9 H 0.012      
10 H -0.036      
11 H -0.036      
12 H -0.024      
13 H -0.024      
14 H -0.024      
15 H -0.024      


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 0.011 0.011
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.283 0.000 0.000
y 0.000 -39.203 0.000
z 0.000 0.000 -42.809
Traceless
 xyz
x -1.277 0.000 0.000
y 0.000 3.343 0.000
z 0.000 0.000 -2.066
Polar
3z2-r2-4.132
x2-y2-3.080
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.060 0.000 0.000
y 0.000 11.423 0.000
z 0.000 0.000 8.444


<r2> (average value of r2) Å2
<r2> 154.063
(<r2>)1/2 12.412