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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-271.433207
Energy at 298.15K-271.442587
Nuclear repulsion energy288.485433
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 mPW1PW91/6-31G**
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 3276 3117 7.43      
2 A1 3160 3007 9.30      
3 A1 3090 2941 44.50      
4 A1 1692 1610 0.17      
5 A1 1504 1431 0.44      
6 A1 1279 1217 3.04      
7 A1 1141 1086 0.24      
8 A1 963 917 2.79      
9 A1 912 868 6.71      
10 A1 791 753 1.64      
11 A1 760 723 51.53      
12 A1 432 411 4.00      
13 A2 3247 3090 0.00      
14 A2 1318 1254 0.00      
15 A2 1277 1215 0.00      
16 A2 1146 1090 0.00      
17 A2 939 893 0.00      
18 A2 924 879 0.00      
19 A2 724 689 0.00      
20 A2 456 434 0.00      
21 B1 3273 3114 20.45      
22 B1 3157 3004 35.26      
23 B1 1649 1569 6.00      
24 B1 1253 1192 1.43      
25 B1 1095 1042 0.38      
26 B1 1043 993 0.43      
27 B1 929 884 1.49      
28 B1 686 652 32.08      
29 B1 509 484 5.79      
30 B2 3249 3091 10.58      
31 B2 3158 3005 56.36      
32 B2 1360 1294 23.02      
33 B2 1288 1225 0.01      
34 B2 1198 1139 0.77      
35 B2 984 937 0.29      
36 B2 945 899 3.18      
37 B2 902 858 1.94      
38 B2 825 785 8.14      
39 B2 553 526 1.65      

Unscaled Zero Point Vibrational Energy (zpe) 28542.8 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 27158.5 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 mPW1PW91/6-31G**
ABC
0.14418 0.12100 0.10670

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.346
C2 0.000 1.117 0.272
C3 0.000 -1.117 0.272
C4 1.238 0.667 -0.518
C5 1.238 -0.667 -0.518
C6 -1.238 0.667 -0.518
C7 -1.238 -0.667 -0.518
H8 -0.900 0.000 1.968
H9 0.900 0.000 1.968
H10 0.000 2.152 0.615
H11 0.000 -2.152 0.615
H12 1.927 1.335 -1.019
H13 1.927 -1.335 -1.019
H14 -1.927 1.335 -1.019
H15 -1.927 -1.335 -1.019

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.54981.54982.33502.33502.33502.33501.09331.09332.27262.27263.32963.32963.32963.3296
C21.54982.23421.53622.31061.53622.31062.22092.22091.09003.28682.32933.37492.32933.3749
C31.54982.23422.31061.53622.31061.53622.22092.22093.28681.09003.37492.32933.37492.3293
C42.33501.53622.31061.33322.47652.81253.34542.59552.24113.28021.08232.17503.27343.7781
C52.33502.31061.53621.33322.81252.47653.34542.59553.28022.24112.17501.08233.77813.2734
C62.33501.53622.31062.47652.81251.33322.59553.34542.24113.28023.27343.77811.08232.1750
C72.33502.31061.53622.81252.47651.33322.59553.34543.28022.24113.77813.27342.17501.0823
H81.09332.22092.22093.34543.34542.59552.59551.79912.69612.69614.32294.32293.42843.4284
H91.09332.22092.22092.59552.59553.34543.34541.79912.69612.69613.42843.42844.32294.3229
H102.27261.09003.28682.24113.28022.24113.28022.69612.69614.30352.65494.30552.65494.3055
H112.27263.28681.09003.28022.24113.28022.24112.69612.69614.30354.30552.65494.30552.6549
H123.32962.32933.37491.08232.17503.27343.77814.32293.42842.65494.30552.66973.85374.6881
H133.32963.37492.32932.17501.08233.77813.27344.32293.42844.30552.65492.66974.68813.8537
H143.32962.32933.37493.27343.77811.08232.17503.42844.32292.65494.30553.85374.68812.6697
H153.32963.37492.32933.77813.27342.17501.08233.42844.32294.30552.65494.68813.85372.6697

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.335 C1 C2 C6 98.335
C1 C2 H10 117.780 C1 C3 C5 98.335
C1 C3 C7 98.335 C1 C3 H11 117.780
C2 C1 C3 92.245 C2 C1 H8 113.201
C2 C1 H9 113.201 C2 C4 C5 107.054
C2 C4 H12 124.719 C2 C6 C7 107.054
C2 C6 H14 124.719 C3 C1 H8 113.201
C3 C1 H9 113.201 C3 C5 C4 107.054
C3 C5 H13 124.719 C3 C7 C6 107.054
C3 C7 H15 124.719 C4 C2 C6 107.417
C4 C2 H10 116.114 C4 C5 H13 128.130
C5 C3 C7 107.417 C5 C3 H11 116.114
C5 C4 H12 128.130 C6 C2 H10 116.114
C6 C7 H15 128.130 C7 C3 H11 116.114
C7 C6 H14 128.130 H8 C1 H9 110.724
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.205      
2 C -0.230      
3 C -0.230      
4 C -0.081      
5 C -0.081      
6 C -0.081      
7 C -0.081      
8 H 0.129      
9 H 0.129      
10 H 0.116      
11 H 0.116      
12 H 0.124      
13 H 0.124      
14 H 0.124      
15 H 0.124      


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 -0.025 0.025
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.189 0.000 0.000
y 0.000 -38.232 0.000
z 0.000 0.000 -41.957
Traceless
 xyz
x -1.094 0.000 0.000
y 0.000 3.341 0.000
z 0.000 0.000 -2.247
Polar
3z2-r2-4.493
x2-y2-2.957
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.079 0.000 0.000
y 0.000 10.646 0.000
z 0.000 0.000 7.590


<r2> (average value of r2) Å2
<r2> 151.410
(<r2>)1/2 12.305