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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-271.169725
Energy at 298.15K-271.178835
Nuclear repulsion energy286.737395
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 PBEPBE/6-311G*
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 3158 3125 11.64      
2 A1 3053 3021 11.04      
3 A1 2984 2953 52.79      
4 A1 1608 1591 0.15      
5 A1 1449 1434 1.84      
6 A1 1217 1204 5.37      
7 A1 1095 1084 0.32      
8 A1 929 920 1.81      
9 A1 870 861 7.40      
10 A1 764 756 0.82      
11 A1 718 711 59.85      
12 A1 414 409 6.03      
13 A2 3129 3097 0.00      
14 A2 1250 1237 0.00      
15 A2 1224 1211 0.00      
16 A2 1105 1093 0.00      
17 A2 891 881 0.00      
18 A2 861 852 0.00      
19 A2 702 695 0.00      
20 A2 442 437 0.00      
21 B1 3155 3122 28.25      
22 B1 3046 3014 41.35      
23 B1 1567 1550 7.77      
24 B1 1190 1178 3.60      
25 B1 1048 1037 0.59      
26 B1 1004 993 0.34      
27 B1 882 872 1.56      
28 B1 642 635 38.73      
29 B1 488 482 8.90      
30 B2 3131 3098 20.69      
31 B2 3051 3019 66.49      
32 B2 1298 1285 25.66      
33 B2 1232 1219 0.06      
34 B2 1136 1124 1.02      
35 B2 942 932 0.01      
36 B2 891 882 1.34      
37 B2 860 851 4.88      
38 B2 793 784 7.93      
39 B2 531 525 1.43      

Unscaled Zero Point Vibrational Energy (zpe) 27372.3 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 27087.6 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 PBEPBE/6-311G*
ABC
0.14218 0.11973 0.10556

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.355
C2 0.000 1.125 0.274
C3 0.000 -1.125 0.274
C4 1.244 0.671 -0.521
C5 1.244 -0.671 -0.521
C6 -1.244 0.671 -0.521
C7 -1.244 -0.671 -0.521
H8 -0.907 0.000 1.981
H9 0.907 0.000 1.981
H10 0.000 2.167 0.620
H11 0.000 -2.167 0.620
H12 1.933 1.345 -1.031
H13 1.933 -1.345 -1.031
H14 -1.933 1.345 -1.031
H15 -1.933 -1.345 -1.031

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.56011.56012.34892.34892.34892.34891.10131.10132.28862.28863.35283.35283.35283.3528
C21.56012.24981.54452.32461.54452.32462.23582.23581.09803.31012.34283.39742.34283.3974
C31.56012.24982.32461.54452.32461.54452.23582.23583.31011.09803.39742.34283.39742.3428
C42.34891.54452.32461.34162.48752.82633.36632.61192.25553.30181.09092.19093.28713.7968
C52.34892.32461.54451.34162.82632.48753.36632.61193.30182.25552.19091.09093.79683.2871
C62.34891.54452.32462.48752.82631.34162.61193.36632.25553.30183.28713.79681.09092.1909
C72.34892.32461.54452.82632.48751.34162.61193.36633.30182.25553.79683.28712.19091.0909
H81.10132.23582.23583.36633.36632.61192.61191.81302.71492.71494.35244.35243.45483.4548
H91.10132.23582.23582.61192.61193.36633.36631.81302.71492.71493.45483.45484.35244.3524
H102.28861.09803.31012.25553.30182.25553.30182.71492.71494.33432.67144.33582.67144.3358
H112.28863.31011.09803.30182.25553.30182.25552.71492.71494.33434.33582.67144.33582.6714
H123.35282.34283.39741.09092.19093.28713.79684.35243.45482.67144.33582.69083.86534.7097
H133.35283.39742.34282.19091.09093.79683.28714.35243.45484.33582.67142.69084.70973.8653
H143.35282.34283.39743.28713.79681.09092.19093.45484.35242.67144.33583.86534.70972.6908
H153.35283.39742.34283.79683.28712.19091.09093.45484.35244.33582.67144.70973.86532.6908

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.326 C1 C2 C6 98.326
C1 C2 H10 117.805 C1 C3 C5 98.326
C1 C3 C7 98.326 C1 C3 H11 117.805
C2 C1 C3 92.278 C2 C1 H8 113.170
C2 C1 H9 113.170 C2 C4 C5 107.097
C2 C4 H12 124.582 C2 C6 C7 107.097
C2 C6 H14 124.582 C3 C1 H8 113.170
C3 C1 H9 113.170 C3 C5 C4 107.097
C3 C5 H13 124.582 C3 C7 C6 107.097
C3 C7 H15 124.582 C4 C2 C6 107.272
C4 C2 H10 116.170 C4 C5 H13 128.198
C5 C3 C7 107.272 C5 C3 H11 116.170
C5 C4 H12 128.198 C6 C2 H10 116.170
C6 C7 H15 128.198 C7 C3 H11 116.170
C7 C6 H14 128.198 H8 C1 H9 110.802
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.348      
2 C -0.348      
3 C -0.348      
4 C -0.125      
5 C -0.125      
6 C -0.125      
7 C -0.125      
8 H 0.214      
9 H 0.214      
10 H 0.190      
11 H 0.190      
12 H 0.184      
13 H 0.184      
14 H 0.184      
15 H 0.184      


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 -0.028 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.458 0.000 0.000
y 0.000 -39.025 0.000
z 0.000 0.000 -43.053
Traceless
 xyz
x -1.420 0.000 0.000
y 0.000 3.731 0.000
z 0.000 0.000 -2.312
Polar
3z2-r2-4.623
x2-y2-3.434
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.137 0.000 0.000
y 0.000 11.370 0.000
z 0.000 0.000 8.662


<r2> (average value of r2) Å2
<r2> 153.564
(<r2>)1/2 12.392