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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-269.948285
Energy at 298.15K-269.957754
Nuclear repulsion energy287.086927
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 mPW1PW91/3-21G
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 3292 3142 5.01      
2 A1 3195 3050 6.54      
3 A1 3108 2967 29.75      
4 A1 1669 1593 0.03      
5 A1 1525 1455 1.66      
6 A1 1276 1218 6.21      
7 A1 1159 1106 0.39      
8 A1 972 928 3.79      
9 A1 904 863 14.52      
10 A1 809 772 3.48      
11 A1 780 745 66.00      
12 A1 443 423 7.51      
13 A2 3258 3110 0.00      
14 A2 1320 1260 0.00      
15 A2 1296 1238 0.00      
16 A2 1175 1122 0.00      
17 A2 968 924 0.00      
18 A2 914 872 0.00      
19 A2 747 713 0.00      
20 A2 460 439 0.00      
21 B1 3287 3138 16.16      
22 B1 3181 3036 23.78      
23 B1 1630 1556 2.66      
24 B1 1254 1197 5.13      
25 B1 1115 1065 0.37      
26 B1 1049 1001 1.81      
27 B1 907 865 3.02      
28 B1 700 668 44.78      
29 B1 510 487 8.09      
30 B2 3260 3112 6.03      
31 B2 3191 3046 33.72      
32 B2 1365 1303 30.23      
33 B2 1314 1254 0.93      
34 B2 1196 1142 0.78      
35 B2 1006 960 1.93      
36 B2 979 935 2.36      
37 B2 907 866 0.59      
38 B2 821 784 8.43      
39 B2 558 533 1.53      

Unscaled Zero Point Vibrational Energy (zpe) 28748.8 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 27443.6 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 mPW1PW91/3-21G
ABC
0.14167 0.11999 0.10625

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.364
C2 0.000 1.129 0.281
C3 0.000 -1.129 0.281
C4 1.238 0.667 -0.527
C5 1.238 -0.667 -0.527
C6 -1.238 0.667 -0.527
C7 -1.238 -0.667 -0.527
H8 -0.907 0.000 1.974
H9 0.907 0.000 1.974
H10 0.000 2.162 0.622
H11 0.000 -2.162 0.622
H12 1.923 1.335 -1.028
H13 1.923 -1.335 -1.028
H14 -1.923 1.335 -1.028
H15 -1.923 -1.335 -1.028

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56451.56452.35622.35622.35622.35621.09291.09292.28562.28563.34673.34673.34673.3467
C21.56452.25821.54832.32631.54832.32632.22772.22771.08723.30832.33513.38842.33513.3884
C31.56452.25822.32631.54832.32631.54832.22772.22773.30831.08723.38842.33513.38842.3351
C42.35621.54832.32631.33492.47522.81223.36112.60902.25443.29441.07992.17483.26873.7747
C52.35622.32631.54831.33492.81222.47523.36112.60903.29442.25442.17481.07993.77473.2687
C62.35621.54832.32632.47522.81221.33492.60903.36112.25443.29443.26873.77471.07992.1748
C72.35622.32631.54832.81222.47521.33492.60903.36113.29442.25443.77473.26872.17481.0799
H81.09292.22772.22773.36113.36112.60902.60901.81402.70632.70634.33594.33593.43863.4386
H91.09292.22772.22772.60902.60903.36113.36111.81402.70632.70633.43863.43864.33594.3359
H102.28561.08723.30832.25443.29442.25443.29442.70632.70634.32322.66484.31782.66484.3178
H112.28563.30831.08723.29442.25443.29442.25442.70632.70634.32324.31782.66484.31782.6648
H123.34672.33513.38841.07992.17483.26873.77474.33593.43862.66484.31782.66973.84544.6813
H133.34673.38842.33512.17481.07993.77473.26874.33593.43864.31782.66482.66974.68133.8454
H143.34672.33513.38843.26873.77471.07992.17483.43864.33592.66484.31783.84544.68132.6697
H153.34673.38842.33513.77473.26872.17481.07993.43864.33594.31782.66484.68133.84542.6697

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.391 C1 C2 C6 98.391
C1 C2 H10 117.947 C1 C3 C5 98.391
C1 C3 C7 98.391 C1 C3 H11 117.947
C2 C1 C3 92.389 C2 C1 H8 112.718
C2 C1 H9 112.718 C2 C4 C5 107.348
C2 C4 H12 124.405 C2 C6 C7 107.348
C2 C6 H14 124.405 C3 C1 H8 112.718
C3 C1 H9 112.718 C3 C5 C4 107.348
C3 C5 H13 124.405 C3 C7 C6 107.348
C3 C7 H15 124.405 C4 C2 C6 106.136
C4 C2 H10 116.521 C4 C5 H13 128.172
C5 C3 C7 106.136 C5 C3 H11 116.521
C5 C4 H12 128.172 C6 C2 H10 116.521
C6 C7 H15 128.172 C7 C3 H11 116.521
C7 C6 H14 128.172 H8 C1 H9 112.178
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.300      
2 C -0.448      
3 C -0.448      
4 C -0.128      
5 C -0.128      
6 C -0.128      
7 C -0.128      
8 H 0.223      
9 H 0.223      
10 H 0.204      
11 H 0.204      
12 H 0.213      
13 H 0.213      
14 H 0.213      
15 H 0.213      


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 0.017 0.017
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.616 0.000 0.000
y 0.000 -38.347 0.000
z 0.000 0.000 -42.583
Traceless
 xyz
x -1.151 0.000 0.000
y 0.000 3.752 0.000
z 0.000 0.000 -2.602
Polar
3z2-r2-5.204
x2-y2-3.269
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.329 0.000 0.000
y 0.000 10.074 0.000
z 0.000 0.000 6.895


<r2> (average value of r2) Å2
<r2> 152.727
(<r2>)1/2 12.358