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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBE/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-271.207014
Energy at 298.15K-271.216165
Nuclear repulsion energy287.295749
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-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 3160 3138 7.86      
2 A1 3053 3032 8.11      
3 A1 2984 2963 46.59      
4 A1 1604 1593 0.27      
5 A1 1432 1422 2.20      
6 A1 1213 1204 4.70      
7 A1 1093 1085 0.28      
8 A1 927 921 1.99      
9 A1 866 860 7.20      
10 A1 761 756 1.21      
11 A1 723 718 53.00      
12 A1 414 411 4.86      
13 A2 3132 3111 0.00      
14 A2 1243 1234 0.00      
15 A2 1220 1212 0.00      
16 A2 1096 1088 0.00      
17 A2 894 888 0.00      
18 A2 877 871 0.00      
19 A2 702 697 0.00      
20 A2 442 439 0.00      
21 B1 3157 3135 17.82      
22 B1 3044 3023 34.01      
23 B1 1563 1552 10.06      
24 B1 1184 1176 3.77      
25 B1 1045 1038 0.28      
26 B1 997 990 0.30      
27 B1 878 872 1.29      
28 B1 650 646 34.95      
29 B1 485 481 6.91      
30 B2 3134 3112 12.16      
31 B2 3051 3030 55.20      
32 B2 1295 1286 24.93      
33 B2 1230 1222 0.04      
34 B2 1129 1121 1.15      
35 B2 938 932 0.06      
36 B2 905 899 2.55      
37 B2 864 858 3.04      
38 B2 790 784 7.47      
39 B2 530 527 1.53      

Unscaled Zero Point Vibrational Energy (zpe) 27350.8 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 27162.1 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 PBEPBE/cc-pVTZ
ABC
0.14273 0.12017 0.10596

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.354
C2 0.000 1.123 0.274
C3 0.000 -1.123 0.274
C4 1.241 0.669 -0.520
C5 1.241 -0.669 -0.520
C6 -1.241 0.669 -0.520
C7 -1.241 -0.669 -0.520
H8 -0.906 0.000 1.975
H9 0.906 0.000 1.975
H10 0.000 2.163 0.616
H11 0.000 -2.163 0.616
H12 1.930 1.343 -1.027
H13 1.930 -1.343 -1.027
H14 -1.930 1.343 -1.027
H15 -1.930 -1.343 -1.027

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.55801.55802.34532.34532.34532.34531.09861.09862.28542.28543.34553.34553.34553.3455
C21.55802.24601.54192.32031.54192.32032.23092.23091.09493.30392.33743.39032.33743.3903
C31.55802.24602.32031.54192.32031.54192.23092.23093.30391.09493.39032.33743.39032.3374
C42.34531.54192.32031.33852.48272.82063.35952.60552.25023.29461.08792.18583.28103.7893
C52.34532.32031.54191.33852.82062.48273.35952.60553.29462.25022.18581.08793.78933.2810
C62.34531.54192.32032.48272.82061.33852.60553.35952.25023.29463.28103.78931.08792.1858
C72.34532.32031.54192.82062.48271.33852.60553.35953.29462.25023.78933.28102.18581.0879
H81.09862.23092.23093.35953.35952.60552.60551.81152.71062.71064.34224.34223.44443.4444
H91.09862.23092.23092.60552.60553.35953.35951.81152.71062.71063.44443.44444.34224.3422
H102.28541.09493.30392.25023.29462.25023.29462.71062.71064.32622.66374.32572.66374.3257
H112.28543.30391.09493.29462.25023.29462.25022.71062.71064.32624.32572.66374.32572.6637
H123.34552.33743.39031.08792.18583.28103.78934.34223.44442.66374.32572.68513.85924.7014
H133.34553.39032.33742.18581.08793.78933.28104.34223.44444.32572.66372.68514.70143.8592
H143.34552.33743.39033.28103.78931.08792.18583.44444.34222.66374.32573.85924.70142.6851
H153.34553.39032.33743.78933.28102.18581.08793.44444.34224.32572.66374.70143.85922.6851

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.327 C1 C2 C6 98.327
C1 C2 H10 117.912 C1 C3 C5 98.327
C1 C3 C7 98.327 C1 C3 H11 117.912
C2 C1 C3 92.242 C2 C1 H8 113.095
C2 C1 H9 113.095 C2 C4 C5 107.115
C2 C4 H12 124.540 C2 C6 C7 107.115
C2 C6 H14 124.540 C3 C1 H8 113.095
C3 C1 H9 113.095 C3 C5 C4 107.115
C3 C5 H13 124.540 C3 C7 C6 107.115
C3 C7 H15 124.540 C4 C2 C6 107.240
C4 C2 H10 116.134 C4 C5 H13 128.234
C5 C3 C7 107.240 C5 C3 H11 116.134
C5 C4 H12 128.234 C6 C2 H10 116.134
C6 C7 H15 128.234 C7 C3 H11 116.134
C7 C6 H14 128.234 H8 C1 H9 111.069
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.091      
2 C 0.002      
3 C 0.002      
4 C -0.137      
5 C -0.137      
6 C -0.137      
7 C -0.137      
8 H 0.068      
9 H 0.068      
10 H 0.051      
11 H 0.051      
12 H 0.099      
13 H 0.099      
14 H 0.099      
15 H 0.099      


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 0.041 0.041
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.723 0.000 0.000
y 0.000 -39.251 0.000
z 0.000 0.000 -43.077
Traceless
 xyz
x -1.559 0.000 0.000
y 0.000 3.649 0.000
z 0.000 0.000 -2.090
Polar
3z2-r2-4.180
x2-y2-3.472
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.821 0.000 0.000
y 0.000 11.817 0.000
z 0.000 0.000 9.340


<r2> (average value of r2) Å2
<r2> 153.174
(<r2>)1/2 12.376