return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: mPW1PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-271.443222
Energy at 298.15K-271.452610
Nuclear repulsion energy288.754966
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(2df,p)
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 3267 3119 6.99      
2 A1 3151 3008 8.88      
3 A1 3078 2939 42.71      
4 A1 1681 1605 0.14      
5 A1 1487 1420 0.73      
6 A1 1273 1215 2.68      
7 A1 1138 1086 0.28      
8 A1 962 918 2.66      
9 A1 912 871 6.30      
10 A1 788 753 3.40      
11 A1 764 729 42.98      
12 A1 431 412 3.34      
13 A2 3237 3091 0.00      
14 A2 1306 1246 0.00      
15 A2 1266 1209 0.00      
16 A2 1139 1087 0.00      
17 A2 940 898 0.00      
18 A2 924 882 0.00      
19 A2 724 691 0.00      
20 A2 455 434 0.00      
21 B1 3264 3116 18.40      
22 B1 3146 3003 33.51      
23 B1 1639 1565 6.19      
24 B1 1244 1187 1.33      
25 B1 1089 1040 0.21      
26 B1 1035 988 0.32      
27 B1 927 885 1.38      
28 B1 692 661 29.08      
29 B1 505 482 4.75      
30 B2 3239 3092 9.64      
31 B2 3148 3006 56.73      
32 B2 1350 1289 23.40      
33 B2 1278 1220 0.01      
34 B2 1187 1133 0.92      
35 B2 981 937 0.29      
36 B2 945 903 3.00      
37 B2 901 860 1.68      
38 B2 823 786 7.92      
39 B2 552 527 1.77      

Unscaled Zero Point Vibrational Energy (zpe) 28433.2 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 27145.2 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 mPW1PW91/6-31G(2df,p)
ABC
0.14444 0.12117 0.10692

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.346
C2 0.000 1.116 0.272
C3 0.000 -1.116 0.272
C4 1.237 0.665 -0.518
C5 1.237 -0.665 -0.518
C6 -1.237 0.665 -0.518
C7 -1.237 -0.665 -0.518
H8 -0.900 0.000 1.966
H9 0.900 0.000 1.966
H10 0.000 2.150 0.612
H11 0.000 -2.150 0.612
H12 1.924 1.335 -1.016
H13 1.924 -1.335 -1.016
H14 -1.924 1.335 -1.016
H15 -1.924 -1.335 -1.016

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.54911.54912.33402.33402.33402.33401.09281.09282.27182.27183.32603.32603.32603.3260
C21.54912.23201.53552.30791.53552.30792.21942.21941.08883.28382.32533.37172.32533.3717
C31.54912.23202.30791.53552.30791.53552.21942.21943.28381.08883.37172.32533.37172.3253
C42.33401.53552.30791.33002.47462.80933.34362.59332.23923.27621.08112.17283.26963.7740
C52.33402.30791.53551.33002.80932.47463.34362.59333.27622.23922.17281.08113.77403.2696
C62.33401.53552.30792.47462.80931.33002.59333.34362.23923.27623.26963.77401.08112.1728
C72.33402.30791.53552.80932.47461.33002.59333.34363.27622.23923.77403.26962.17281.0811
H81.09282.21942.21943.34363.34362.59332.59331.80032.69542.69544.31834.31833.42353.4235
H91.09282.21942.21942.59332.59333.34363.34361.80032.69542.69543.42353.42354.31834.3183
H102.27181.08883.28382.23923.27622.23923.27622.69542.69544.30022.64874.30132.64874.3013
H112.27183.28381.08883.27622.23923.27622.23922.69542.69544.30024.30132.64874.30132.6487
H123.32602.32533.37171.08112.17283.26963.77404.31833.42352.64874.30132.67103.84794.6840
H133.32603.37172.32532.17281.08113.77403.26964.31833.42354.30132.64872.67104.68403.8479
H143.32602.32533.37173.26963.77401.08112.17283.42354.31832.64874.30133.84794.68402.6710
H153.32603.37172.32533.77403.26962.17281.08113.42354.31834.30132.64874.68403.84792.6710

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.340 C1 C2 C6 98.340
C1 C2 H10 117.854 C1 C3 C5 98.340
C1 C3 C7 98.340 C1 C3 H11 117.854
C2 C1 C3 92.178 C2 C1 H8 113.160
C2 C1 H9 113.160 C2 C4 C5 107.081
C2 C4 H12 124.496 C2 C6 C7 107.081
C2 C6 H14 124.496 C3 C1 H8 113.160
C3 C1 H9 113.160 C3 C5 C4 107.081
C3 C5 H13 124.496 C3 C7 C6 107.081
C3 C7 H15 124.496 C4 C2 C6 107.370
C4 C2 H10 116.097 C4 C5 H13 128.332
C5 C3 C7 107.370 C5 C3 H11 116.097
C5 C4 H12 128.332 C6 C2 H10 116.097
C6 C7 H15 128.332 C7 C3 H11 116.097
C7 C6 H14 128.332 H8 C1 H9 110.905
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.243      
2 C -0.146      
3 C -0.146      
4 C -0.105      
5 C -0.105      
6 C -0.105      
7 C -0.105      
8 H 0.126      
9 H 0.126      
10 H 0.096      
11 H 0.096      
12 H 0.128      
13 H 0.128      
14 H 0.128      
15 H 0.128      


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 -0.015 0.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.135 0.000 0.000
y 0.000 -38.242 0.000
z 0.000 0.000 -41.864
Traceless
 xyz
x -1.082 0.000 0.000
y 0.000 3.257 0.000
z 0.000 0.000 -2.175
Polar
3z2-r2-4.351
x2-y2-2.893
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.390 0.000 0.000
y 0.000 10.736 0.000
z 0.000 0.000 7.920


<r2> (average value of r2) Å2
<r2> 151.149
(<r2>)1/2 12.294