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: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-270.003883
Energy at 298.15K-270.013277
Nuclear repulsion energy285.989699
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3262 3147 6.51      
2 A1 3166 3055 7.97      
3 A1 3086 2978 32.60      
4 A1 1649 1591 0.09      
5 A1 1530 1477 0.80      
6 A1 1264 1220 4.15      
7 A1 1153 1113 0.25      
8 A1 958 924 3.73      
9 A1 882 851 13.85      
10 A1 800 772 6.04      
11 A1 766 739 52.02      
12 A1 438 423 6.44      
13 A2 3229 3116 0.00      
14 A2 1315 1269 0.00      
15 A2 1288 1243 0.00      
16 A2 1167 1126 0.00      
17 A2 956 922 0.00      
18 A2 890 859 0.00      
19 A2 741 715 0.00      
20 A2 458 442 0.00      
21 B1 3258 3143 20.41      
22 B1 3152 3042 28.74      
23 B1 1612 1556 3.28      
24 B1 1245 1202 3.32      
25 B1 1113 1074 0.14      
26 B1 1047 1011 1.26      
27 B1 877 846 3.35      
28 B1 689 664 38.01      
29 B1 508 490 7.28      
30 B2 3231 3118 8.68      
31 B2 3162 3051 40.62      
32 B2 1358 1311 24.89      
33 B2 1309 1263 0.75      
34 B2 1183 1141 0.80      
35 B2 989 955 2.02      
36 B2 967 933 2.09      
37 B2 890 859 0.49      
38 B2 802 774 6.78      
39 B2 554 534 1.47      

Unscaled Zero Point Vibrational Energy (zpe) 28471.4 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 27472.0 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 B3LYP/3-21G
ABC
0.14072 0.11879 0.10534

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.372
C2 0.000 1.134 0.280
C3 0.000 -1.134 0.280
C4 1.245 0.668 -0.529
C5 1.245 -0.668 -0.529
C6 -1.245 0.668 -0.529
C7 -1.245 -0.668 -0.529
H8 -0.906 0.000 1.983
H9 0.906 0.000 1.983
H10 0.000 2.167 0.619
H11 0.000 -2.167 0.619
H12 1.931 1.337 -1.028
H13 1.931 -1.337 -1.028
H14 -1.931 1.337 -1.028
H15 -1.931 -1.337 -1.028

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.57381.57382.36832.36832.36832.36831.09291.09292.29462.29463.35813.35813.35813.3581
C21.57382.26761.55602.33481.55602.33482.23732.23731.08763.31852.34153.39792.34153.3979
C31.57382.26762.33481.55602.33481.55602.23732.23733.31851.08763.39792.34153.39792.3415
C42.36831.55602.33481.33632.48982.82573.37382.62122.26153.30261.08052.17733.28393.7891
C52.36832.33481.55601.33632.82572.48983.37382.62123.30262.26152.17731.08053.78913.2839
C62.36831.55602.33482.48982.82571.33632.62123.37382.26153.30263.28393.78911.08052.1773
C72.36832.33481.55602.82572.48981.33632.62123.37383.30262.26153.78913.28392.17731.0805
H81.09292.23732.23733.37383.37382.62122.62121.81212.71672.71674.34794.34793.45053.4505
H91.09292.23732.23732.62122.62123.37383.37381.81212.71672.71673.45053.45054.34794.3479
H102.29461.08763.31852.26153.30262.26153.30262.71672.71674.33492.67044.32692.67044.3269
H112.29463.31851.08763.30262.26153.30262.26152.71672.71674.33494.32692.67044.32692.6704
H123.35812.34153.39791.08052.17733.28393.78914.34793.45052.67044.32692.67383.86234.6976
H133.35813.39792.34152.17731.08053.78913.28394.34793.45054.32692.67042.67384.69763.8623
H143.35812.34153.39793.28393.78911.08052.17733.45054.34792.67044.32693.86234.69762.6738
H153.35813.39792.34153.78913.28392.17731.08053.45054.34794.32692.67044.69763.86232.6738

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.342 C1 C2 C6 98.342
C1 C2 H10 117.962 C1 C3 C5 98.342
C1 C3 C7 98.342 C1 C3 H11 117.962
C2 C1 C3 92.175 C2 C1 H8 112.822
C2 C1 H9 112.822 C2 C4 C5 107.411
C2 C4 H12 124.281 C2 C6 C7 107.411
C2 C6 H14 124.281 C3 C1 H8 112.822
C3 C1 H9 112.822 C3 C5 C4 107.411
C3 C5 H13 124.281 C3 C7 C6 107.411
C3 C7 H15 124.281 C4 C2 C6 106.268
C4 C2 H10 116.497 C4 C5 H13 128.235
C5 C3 C7 106.268 C5 C3 H11 116.497
C5 C4 H12 128.235 C6 C2 H10 116.497
C6 C7 H15 128.235 C7 C3 H11 116.497
C7 C6 H14 128.235 H8 C1 H9 111.993
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.251      
2 C -0.391      
3 C -0.391      
4 C -0.101      
5 C -0.101      
6 C -0.101      
7 C -0.101      
8 H 0.193      
9 H 0.193      
10 H 0.168      
11 H 0.168      
12 H 0.179      
13 H 0.179      
14 H 0.179      
15 H 0.179      


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 0.010 0.010
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.837 0.000 0.000
y 0.000 -38.784 0.000
z 0.000 0.000 -42.736
Traceless
 xyz
x -1.077 0.000 0.000
y 0.000 3.503 0.000
z 0.000 0.000 -2.425
Polar
3z2-r2-4.851
x2-y2-3.053
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.425 0.000 0.000
y 0.000 10.136 0.000
z 0.000 0.000 6.940


<r2> (average value of r2) Å2
<r2> 153.926
(<r2>)1/2 12.407