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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-271.127032
Energy at 298.15K-271.136150
Nuclear repulsion energy286.405137
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**
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 3180 3136 8.32      
2 A1 3067 3025 9.11      
3 A1 2998 2957 45.41      
4 A1 1621 1599 0.21      
5 A1 1448 1428 0.35      
6 A1 1225 1209 2.76      
7 A1 1098 1083 0.21      
8 A1 929 917 1.96      
9 A1 875 863 4.73      
10 A1 761 751 1.23      
11 A1 724 714 45.98      
12 A1 417 411 3.25      
13 A2 3152 3109 0.00      
14 A2 1257 1240 0.00      
15 A2 1225 1208 0.00      
16 A2 1103 1088 0.00      
17 A2 897 885 0.00      
18 A2 868 856 0.00      
19 A2 698 689 0.00      
20 A2 440 434 0.00      
21 B1 3177 3134 22.60      
22 B1 3064 3022 35.97      
23 B1 1579 1558 7.11      
24 B1 1198 1181 1.67      
25 B1 1053 1039 0.19      
26 B1 1005 991 0.21      
27 B1 888 876 1.00      
28 B1 651 643 29.98      
29 B1 489 482 6.06      
30 B2 3154 3110 11.93      
31 B2 3065 3023 55.72      
32 B2 1304 1287 19.74      
33 B2 1235 1219 0.00      
34 B2 1142 1126 0.92      
35 B2 944 931 0.01      
36 B2 893 880 1.84      
37 B2 864 852 3.40      
38 B2 793 782 6.79      
39 B2 531 523 1.51      

Unscaled Zero Point Vibrational Energy (zpe) 27506.0 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 27129.2 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**
ABC
0.14203 0.11943 0.10517

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.355
C2 0.000 1.125 0.273
C3 0.000 -1.125 0.273
C4 1.247 0.673 -0.521
C5 1.247 -0.673 -0.521
C6 -1.247 0.673 -0.521
C7 -1.247 -0.673 -0.521
H8 -0.908 0.000 1.981
H9 0.908 0.000 1.981
H10 0.000 2.169 0.619
H11 0.000 -2.169 0.619
H12 1.937 1.349 -1.027
H13 1.937 -1.349 -1.027
H14 -1.937 1.349 -1.027
H15 -1.937 -1.349 -1.027

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56101.56102.35062.35062.35062.35061.10271.10272.29032.29033.35403.35403.35403.3540
C21.56102.25051.54572.32731.54572.32732.23762.23761.09923.31202.34423.40092.34423.4009
C31.56102.25052.32731.54572.32731.54572.23762.23763.31201.09923.40092.34423.40092.3442
C42.35061.54572.32731.34522.49312.83283.36942.61282.25633.30541.09142.19543.29423.8053
C52.35062.32731.54571.34522.83282.49313.36942.61283.30542.25632.19541.09143.80533.2942
C62.35061.54572.32732.49312.83281.34522.61283.36942.25633.30543.29423.80531.09142.1954
C72.35062.32731.54572.83282.49311.34522.61283.36943.30542.25633.80533.29422.19541.0914
H81.10272.23762.23763.36943.36942.61282.61281.81552.71722.71724.35494.35493.45413.4541
H91.10272.23762.23762.61282.61283.36943.36941.81552.71722.71723.45413.45414.35494.3549
H102.29031.09923.31202.25633.30542.25633.30542.71722.71724.33742.67134.34012.67134.3401
H112.29033.31201.09923.30542.25633.30542.25632.71722.71724.33744.34012.67134.34012.6713
H123.35402.34423.40091.09142.19543.29423.80534.35493.45412.67134.34012.69753.87484.7213
H133.35403.40092.34422.19541.09143.80533.29424.35493.45414.34012.67132.69754.72133.8748
H143.35402.34423.40093.29423.80531.09142.19543.45414.35492.67134.34013.87484.72132.6975
H153.35403.40092.34423.80533.29422.19541.09143.45414.35494.34012.67134.72133.87482.6975

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.333 C1 C2 C6 98.333
C1 C2 H10 117.802 C1 C3 C5 98.333
C1 C3 C7 98.333 C1 C3 H11 117.802
C2 C1 C3 92.250 C2 C1 H8 113.170
C2 C1 H9 113.170 C2 C4 C5 107.028
C2 C4 H12 124.578 C2 C6 C7 107.028
C2 C6 H14 124.578 C3 C1 H8 113.170
C3 C1 H9 113.170 C3 C5 C4 107.028
C3 C5 H13 124.578 C3 C7 C6 107.028
C3 C7 H15 124.578 C4 C2 C6 107.502
C4 C2 H10 116.071 C4 C5 H13 128.281
C5 C3 C7 107.502 C5 C3 H11 116.071
C5 C4 H12 128.281 C6 C2 H10 116.071
C6 C7 H15 128.281 C7 C3 H11 116.071
C7 C6 H14 128.281 H8 C1 H9 110.820
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.177      
2 C -0.200      
3 C -0.200      
4 C -0.052      
5 C -0.052      
6 C -0.052      
7 C -0.052      
8 H 0.112      
9 H 0.112      
10 H 0.089      
11 H 0.089      
12 H 0.096      
13 H 0.096      
14 H 0.096      
15 H 0.096      


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 -0.026 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.448 0.000 0.000
y 0.000 -38.610 0.000
z 0.000 0.000 -42.120
Traceless
 xyz
x -1.083 0.000 0.000
y 0.000 3.174 0.000
z 0.000 0.000 -2.092
Polar
3z2-r2-4.183
x2-y2-2.838
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.496 0.000 0.000
y 0.000 10.899 0.000
z 0.000 0.000 7.857


<r2> (average value of r2) Å2
<r2> 153.387
(<r2>)1/2 12.385