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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-44.269204
Energy at 298.15K-44.278397
Nuclear repulsion energy146.149646
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 B3LYP/CEP-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 3220 3110 8.79      
2 A1 3114 3008 14.99      
3 A1 3061 2956 60.19      
4 A1 1650 1594 0.50      
5 A1 1511 1459 0.47      
6 A1 1255 1212 2.32      
7 A1 1114 1076 0.49      
8 A1 938 906 4.42      
9 A1 886 855 15.43      
10 A1 772 745 1.29      
11 A1 746 721 82.57      
12 A1 421 406 8.26      
13 A2 3188 3078 0.00      
14 A2 1292 1248 0.00      
15 A2 1243 1201 0.00      
16 A2 1124 1085 0.00      
17 A2 912 881 0.00      
18 A2 898 867 0.00      
19 A2 702 678 0.00      
20 A2 433 418 0.00      
21 B1 3218 3107 22.81      
22 B1 3124 3017 51.44      
23 B1 1607 1552 13.54      
24 B1 1228 1186 0.86      
25 B1 1071 1034 2.29      
26 B1 1024 989 1.42      
27 B1 909 878 3.28      
28 B1 674 651 56.25      
29 B1 502 485 9.57      
30 B2 3190 3080 15.24      
31 B2 3110 3003 77.49      
32 B2 1340 1294 25.84      
33 B2 1268 1224 0.35      
34 B2 1179 1139 0.87      
35 B2 958 925 0.31      
36 B2 919 887 3.58      
37 B2 882 852 3.48      
38 B2 800 772 10.91      
39 B2 534 516 1.56      

Unscaled Zero Point Vibrational Energy (zpe) 28007.5 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 27046.8 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 B3LYP/CEP-31G*
ABC
0.13991 0.11812 0.10391

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.365
C2 0.000 1.134 0.277
C3 0.000 -1.134 0.277
C4 1.253 0.680 -0.525
C5 1.253 -0.680 -0.525
C6 -1.253 0.680 -0.525
C7 -1.253 -0.680 -0.525
H8 -0.907 0.000 1.991
H9 0.907 0.000 1.991
H10 0.000 2.177 0.622
H11 0.000 -2.177 0.622
H12 1.945 1.352 -1.035
H13 1.945 -1.352 -1.035
H14 -1.945 1.352 -1.035
H15 -1.945 -1.352 -1.035

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.57151.57152.36672.36672.36672.36671.10281.10282.30042.30043.37233.37233.37233.3723
C21.57152.26861.55502.34591.55502.34592.24712.24711.09893.32962.35663.41902.35663.4190
C31.57152.26862.34591.55502.34591.55502.24712.24713.32961.09893.41902.35663.41902.3566
C42.36671.55502.34591.36002.50522.85053.38522.62932.26443.32411.09212.20713.30753.8234
C52.36672.34591.55501.36002.85052.50523.38522.62933.32412.26442.20711.09213.82343.3075
C62.36671.55502.34592.50522.85051.36002.62933.38522.26443.32413.30753.82341.09212.2071
C72.36672.34591.55502.85052.50521.36002.62933.38523.32412.26443.82343.30752.20711.0921
H81.10282.24712.24713.38523.38522.62932.62931.81472.72742.72744.37354.37353.47383.4738
H91.10282.24712.24712.62932.62933.38523.38521.81472.72742.72743.47383.47384.37354.3735
H102.30041.09893.32962.26443.32412.26443.32412.72742.72744.35482.68574.35802.68574.3580
H112.30043.32961.09893.32412.26443.32412.26442.72742.72744.35484.35802.68574.35802.6857
H123.37232.35663.41901.09212.20713.30753.82344.37353.47382.68574.35802.70493.89084.7386
H133.37233.41902.35662.20711.09213.82343.30754.37353.47384.35802.68572.70494.73863.8908
H143.37232.35663.41903.30753.82341.09212.20713.47384.37352.68574.35803.89084.73862.7049
H153.37233.41902.35663.82343.30752.20711.09213.47384.37354.35802.68574.73863.89082.7049

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.394 C1 C2 C6 98.394
C1 C2 H10 117.870 C1 C3 C5 98.394
C1 C3 C7 98.394 C1 C3 H11 117.870
C2 C1 C3 92.400 C2 C1 H8 113.168
C2 C1 H9 113.168 C2 C4 C5 106.986
C2 C4 H12 124.894 C2 C6 C7 106.986
C2 C6 H14 124.894 C3 C1 H8 113.168
C3 C1 H9 113.168 C3 C5 C4 106.986
C3 C5 H13 124.894 C3 C7 C6 106.986
C3 C7 H15 124.894 C4 C2 C6 107.322
C4 C2 H10 116.069 C4 C5 H13 128.007
C5 C3 C7 107.322 C5 C3 H11 116.069
C5 C4 H12 128.007 C6 C2 H10 116.069
C6 C7 H15 128.007 C7 C3 H11 116.069
C7 C6 H14 128.007 H8 C1 H9 110.721
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.548      
2 C -0.042      
3 C -0.042      
4 C -0.368      
5 C -0.368      
6 C -0.368      
7 C -0.368      
8 H 0.187      
9 H 0.187      
10 H 0.248      
11 H 0.248      
12 H 0.308      
13 H 0.308      
14 H 0.308      
15 H 0.308      


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 0.054 0.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.968 0.000 0.000
y 0.000 -37.859 0.000
z 0.000 0.000 -42.281
Traceless
 xyz
x -1.898 0.000 0.000
y 0.000 4.266 0.000
z 0.000 0.000 -2.368
Polar
3z2-r2-4.735
x2-y2-4.109
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.362 0.000 0.000
y 0.000 10.980 0.000
z 0.000 0.000 8.234


<r2> (average value of r2) Å2
<r2> 127.262
(<r2>)1/2 11.281