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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-271.472328
Energy at 298.15K-271.481706
Nuclear repulsion energy288.761327
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 mPW1PW91/6-311G*
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 3254 3105 10.67      
2 A1 3147 3003 11.33      
3 A1 3077 2937 50.81      
4 A1 1678 1601 0.12      
5 A1 1506 1438 1.68      
6 A1 1273 1215 5.19      
7 A1 1138 1086 0.36      
8 A1 963 919 2.64      
9 A1 908 866 9.51      
10 A1 793 757 1.07      
11 A1 755 721 64.11      
12 A1 429 410 6.59      
13 A2 3225 3078 0.00      
14 A2 1312 1252 0.00      
15 A2 1275 1217 0.00      
16 A2 1147 1095 0.00      
17 A2 934 891 0.00      
18 A2 919 877 0.00      
19 A2 727 694 0.00      
20 A2 457 436 0.00      
21 B1 3251 3103 25.92      
22 B1 3139 2996 40.57      
23 B1 1635 1560 7.16      
24 B1 1247 1190 2.72      
25 B1 1091 1041 0.91      
26 B1 1043 995 0.64      
27 B1 924 882 2.04      
28 B1 678 647 40.06      
29 B1 508 485 8.12      
30 B2 3226 3079 19.05      
31 B2 3144 3001 67.34      
32 B2 1355 1293 27.58      
33 B2 1285 1226 0.12      
34 B2 1193 1138 0.85      
35 B2 982 937 0.35      
36 B2 943 900 3.20      
37 B2 901 860 2.74      
38 B2 824 787 9.16      
39 B2 553 528 1.55      

Unscaled Zero Point Vibrational Energy (zpe) 28418.6 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 27122.7 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 mPW1PW91/6-311G*
ABC
0.14426 0.12125 0.10705

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.347
C2 0.000 1.117 0.273
C3 0.000 -1.117 0.273
C4 1.236 0.665 -0.518
C5 1.236 -0.665 -0.518
C6 -1.236 0.665 -0.518
C7 -1.236 -0.665 -0.518
H8 -0.899 0.000 1.968
H9 0.899 0.000 1.968
H10 0.000 2.151 0.615
H11 0.000 -2.151 0.615
H12 1.922 1.332 -1.023
H13 1.922 -1.332 -1.023
H14 -1.922 1.332 -1.023
H15 -1.922 -1.332 -1.023

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.54911.54912.33382.33382.33382.33381.09211.09212.27162.27163.32913.32913.32913.3291
C21.54912.23361.53542.30841.53542.30842.21932.21931.08893.28532.32803.37222.32803.3722
C31.54912.23362.30841.53542.30841.53542.21932.21933.28531.08893.37222.32803.37222.3280
C42.33381.53542.30841.33022.47162.80683.34302.59502.24023.27721.08202.17153.26673.7704
C52.33382.30841.53541.33022.80682.47163.34302.59503.27722.24022.17151.08203.77043.2667
C62.33381.53542.30842.47162.80681.33022.59503.34302.24023.27723.26673.77041.08202.1715
C72.33382.30841.53542.80682.47161.33022.59503.34303.27722.24023.77043.26672.17151.0820
H81.09212.21932.21933.34303.34302.59502.59501.79702.69462.69464.32104.32103.42983.4298
H91.09212.21932.21932.59502.59503.34303.34301.79702.69462.69463.42983.42984.32104.3210
H102.27161.08893.28532.24023.27722.24023.27722.69462.69464.30132.65454.30212.65454.3021
H112.27163.28531.08893.27722.24023.27722.24022.69462.69464.30134.30212.65454.30212.6545
H123.32912.32803.37221.08202.17153.26673.77044.32103.42982.65454.30212.66473.84404.6773
H133.32913.37222.32802.17151.08203.77043.26674.32103.42984.30212.65452.66474.67733.8440
H143.32912.32803.37223.26673.77041.08202.17153.42984.32102.65454.30213.84404.67732.6647
H153.32913.37222.32803.77043.26672.17151.08203.42984.32104.30212.65454.67733.84402.6647

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 117.826 C1 C3 C5 98.339
C1 C3 C7 98.339 C1 C3 H11 117.826
C2 C1 C3 92.269 C2 C1 H8 113.199
C2 C1 H9 113.199 C2 C4 C5 107.110
C2 C4 H12 124.707 C2 C6 C7 107.110
C2 C6 H14 124.707 C3 C1 H8 113.199
C3 C1 H9 113.199 C3 C5 C4 107.110
C3 C5 H13 124.707 C3 C7 C6 107.110
C3 C7 H15 124.707 C4 C2 C6 107.198
C4 C2 H10 116.181 C4 C5 H13 128.074
C5 C3 C7 107.198 C5 C3 H11 116.181
C5 C4 H12 128.074 C6 C2 H10 116.181
C6 C7 H15 128.074 C7 C3 H11 116.181
C7 C6 H14 128.074 H8 C1 H9 110.714
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.361      
2 C -0.363      
3 C -0.363      
4 C -0.141      
5 C -0.141      
6 C -0.141      
7 C -0.141      
8 H 0.224      
9 H 0.224      
10 H 0.204      
11 H 0.204      
12 H 0.199      
13 H 0.199      
14 H 0.199      
15 H 0.199      


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 -0.018 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.104 0.000 0.000
y 0.000 -38.554 0.000
z 0.000 0.000 -42.724
Traceless
 xyz
x -1.465 0.000 0.000
y 0.000 3.859 0.000
z 0.000 0.000 -2.395
Polar
3z2-r2-4.789
x2-y2-3.549
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.641 0.000 0.000
y 0.000 11.030 0.000
z 0.000 0.000 8.311


<r2> (average value of r2) Å2
<r2> 151.567
(<r2>)1/2 12.311