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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-271.196275
Energy at 298.15K-271.205638
HF Energy-271.196275
Nuclear repulsion energy288.288195
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 HSEh1PBE/6-31+G**
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 3268 3120 6.98      
2 A1 3153 3010 8.11      
3 A1 3081 2942 45.36      
4 A1 1675 1600 0.29      
5 A1 1495 1427 2.11      
6 A1 1270 1213 4.96      
7 A1 1133 1082 0.59      
8 A1 959 916 2.84      
9 A1 907 866 9.47      
10 A1 788 753 1.61      
11 A1 756 722 70.07      
12 A1 428 408 7.45      
13 A2 3240 3093 0.00      
14 A2 1307 1248 0.00      
15 A2 1269 1211 0.00      
16 A2 1137 1086 0.00      
17 A2 937 894 0.00      
18 A2 923 881 0.00      
19 A2 721 689 0.00      
20 A2 455 434 0.00      
21 B1 3265 3118 16.32      
22 B1 3148 3005 32.93      
23 B1 1631 1557 13.73      
24 B1 1244 1188 2.76      
25 B1 1086 1037 1.16      
26 B1 1038 991 0.46      
27 B1 928 886 1.61      
28 B1 682 651 44.10      
29 B1 507 484 9.18      
30 B2 3241 3095 10.51      
31 B2 3151 3009 57.62      
32 B2 1350 1289 28.13      
33 B2 1280 1222 0.09      
34 B2 1189 1136 1.01      
35 B2 981 937 0.42      
36 B2 945 902 3.18      
37 B2 899 858 2.57      
38 B2 822 785 8.95      
39 B2 551 526 1.51      

Unscaled Zero Point Vibrational Energy (zpe) 28419.2 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 27134.6 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 HSEh1PBE/6-31+G**
ABC
0.14383 0.12100 0.10661

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.347
C2 0.000 1.118 0.272
C3 0.000 -1.118 0.272
C4 1.238 0.668 -0.518
C5 1.238 -0.668 -0.518
C6 -1.238 0.668 -0.518
C7 -1.238 -0.668 -0.518
H8 -0.901 0.000 1.969
H9 0.901 0.000 1.969
H10 0.000 2.154 0.615
H11 0.000 -2.154 0.615
H12 1.926 1.337 -1.021
H13 1.926 -1.337 -1.021
H14 -1.926 1.337 -1.021
H15 -1.926 -1.337 -1.021

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.55081.55082.33602.33602.33602.33601.09471.09472.27522.27523.33263.33263.33263.3326
C21.55082.23641.53602.31251.53602.31252.22242.22241.09143.29042.33063.37832.33063.3783
C31.55082.23642.31251.53602.31251.53602.22242.22243.29041.09143.37832.33063.37832.3306
C42.33601.53602.31251.33632.47522.81293.34732.59682.24173.28371.08392.17923.27283.7796
C52.33602.31251.53601.33632.81292.47523.34732.59683.28372.24172.17921.08393.77963.2728
C62.33601.53602.31252.47522.81291.33632.59683.34732.24173.28373.27283.77961.08392.1792
C72.33602.31251.53602.81292.47521.33632.59683.34733.28372.24173.77963.27282.17921.0839
H81.09472.22242.22243.34733.34732.59682.59681.80222.69902.69904.32664.32663.43163.4316
H91.09472.22242.22242.59682.59683.34733.34731.80222.69902.69903.43163.43164.32664.3266
H102.27521.09143.29042.24173.28372.24173.28372.69902.69904.30862.65624.31042.65624.3104
H112.27523.29041.09143.28372.24173.28372.24172.69902.69904.30864.31042.65624.31042.6562
H123.33262.33063.37831.08392.17923.27283.77964.32663.43162.65624.31042.67463.85284.6901
H133.33263.37832.33062.17921.08393.77963.27284.32663.43164.31042.65622.67464.69013.8528
H143.33262.33063.37833.27283.77961.08392.17923.43164.32662.65624.31043.85284.69012.6746
H153.33263.37832.33063.77963.27282.17921.08393.43164.32664.31042.65624.69013.85282.6746

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.360 C1 C2 C6 98.360
C1 C2 H10 117.833 C1 C3 C5 98.360
C1 C3 C7 98.360 C1 C3 H11 117.833
C2 C1 C3 92.282 C2 C1 H8 113.168
C2 C1 H9 113.168 C2 C4 C5 107.037
C2 C4 H12 124.740 C2 C6 C7 107.037
C2 C6 H14 124.740 C3 C1 H8 113.168
C3 C1 H9 113.168 C3 C5 C4 107.037
C3 C5 H13 124.740 C3 C7 C6 107.037
C3 C7 H15 124.740 C4 C2 C6 107.361
C4 C2 H10 116.095 C4 C5 H13 128.122
C5 C3 C7 107.361 C5 C3 H11 116.095
C5 C4 H12 128.122 C6 C2 H10 116.095
C6 C7 H15 128.122 C7 C3 H11 116.095
C7 C6 H14 128.122 H8 C1 H9 110.804
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.491      
2 C 0.070      
3 C 0.070      
4 C -0.221      
5 C -0.221      
6 C -0.221      
7 C -0.221      
8 H 0.168      
9 H 0.168      
10 H 0.144      
11 H 0.144      
12 H 0.153      
13 H 0.153      
14 H 0.153      
15 H 0.153      


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 0.033 0.033
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.915 0.000 0.000
y 0.000 -38.870 0.000
z 0.000 0.000 -43.165
Traceless
 xyz
x -1.898 0.000 0.000
y 0.000 4.170 0.000
z 0.000 0.000 -2.273
Polar
3z2-r2-4.546
x2-y2-4.045
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.769 0.000 0.000
y 0.000 11.672 0.000
z 0.000 0.000 9.329


<r2> (average value of r2) Å2
<r2> 152.294
(<r2>)1/2 12.341