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All results from a given calculation for C7H10 (Norbornene)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-270.885247
Energy at 298.15K-270.897289
HF Energy-270.885247
Nuclear repulsion energy304.975984
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/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3171 3142 16.34      
2 A' 3083 3055 8.11      
3 A' 3077 3049 33.63      
4 A' 3072 3044 19.70      
5 A' 3012 2985 37.31      
6 A' 3001 2974 27.05      
7 A' 1584 1570 0.72      
8 A' 1507 1494 1.78      
9 A' 1475 1462 5.46      
10 A' 1300 1289 0.96      
11 A' 1275 1263 1.44      
12 A' 1162 1151 0.83      
13 A' 1146 1136 7.96      
14 A' 1104 1094 0.94      
15 A' 1020 1010 2.21      
16 A' 963 954 0.48      
17 A' 922 913 2.22      
18 A' 891 882 0.77      
19 A' 868 860 8.12      
20 A' 808 801 1.24      
21 A' 767 760 3.11      
22 A' 711 705 48.67      
23 A' 460 456 1.69      
24 A' 379 376 3.52      
25 A" 3142 3113 6.76      
26 A" 3077 3049 47.03      
27 A" 3055 3028 1.87      
28 A" 2999 2971 20.94      
29 A" 1488 1474 2.34      
30 A" 1333 1321 13.69      
31 A" 1280 1268 1.20      
32 A" 1278 1266 0.01      
33 A" 1262 1250 3.60      
34 A" 1222 1211 0.95      
35 A" 1153 1143 0.33      
36 A" 1129 1119 0.25      
37 A" 1036 1027 0.76      
38 A" 960 951 0.01      
39 A" 928 920 1.54      
40 A" 903 894 2.35      
41 A" 826 819 3.62      
42 A" 789 782 2.02      
43 A" 671 665 0.33      
44 A" 479 474 0.17      
45 A" 240 238 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 33003.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 32702.7 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/3-21G
ABC
0.12791 0.11272 0.09919

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.139 0.814 0.000
C2 0.229 0.260 1.142
C3 0.229 0.260 -1.142
C4 -1.142 0.772 0.676
C5 -1.142 0.772 -0.676
C6 0.229 -1.281 0.788
C7 0.229 -1.281 -0.788
H8 1.182 1.915 0.000
H9 2.151 0.370 0.000
H10 0.518 0.493 2.176
H11 0.518 0.493 -2.176
H12 -1.984 0.973 1.340
H13 -1.984 0.973 -1.340
H14 1.142 -1.762 1.180
H15 1.142 -1.762 -1.180
H16 -0.654 -1.788 1.209
H17 -0.654 -1.788 -1.209

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.56241.56242.37972.37972.41622.41621.10231.10482.28552.28553.40263.40262.83352.83353.38343.3834
C21.56242.28461.53562.33401.58102.46952.22592.23881.09843.33892.33353.40102.21903.21202.23093.2405
C31.56242.28462.33401.53562.46951.58102.22592.23883.33891.09843.40102.33353.21202.21903.24052.2309
C42.37971.53562.33401.35242.47092.86982.67683.38552.25413.31161.09112.19413.44863.88402.65983.2163
C52.37972.33401.53561.35242.86982.47092.67683.38553.31162.25412.19411.09113.88403.44863.21632.6598
C62.41621.58102.46952.47092.86981.57533.42722.65352.27163.46633.20663.80831.10462.22231.10182.2412
C72.41622.46951.58102.86982.47091.57533.42722.65353.46632.27163.80833.20662.22231.10462.24121.1018
H81.10232.22592.22592.67682.67683.42723.42721.82402.68272.68273.56513.56513.86243.86244.30674.3067
H91.10482.23882.23883.38553.38552.65352.65351.82402.72342.72344.38864.38862.63752.63753.74003.7400
H102.28551.09843.33892.25413.31162.27163.46632.68272.72344.35182.68144.34172.54354.09172.74114.2469
H112.28553.33891.09843.31162.25413.46632.27162.68272.72344.35184.34172.68144.09172.54354.24692.7411
H123.40262.33353.40101.09112.19413.20663.80833.56514.38862.68144.34172.67944.15714.85863.06733.9858
H133.40263.40102.33352.19411.09113.80833.20663.56514.38864.34172.68142.67944.85864.15713.98583.0673
H142.83352.21903.21203.44863.88401.10462.22233.86242.63752.54354.09174.15714.85862.36061.79692.9894
H152.83353.21202.21903.88403.44862.22231.10463.86242.63754.09172.54354.85864.15712.36062.98941.7969
H163.38342.23093.24052.65983.21631.10182.24124.30673.74002.74114.24693.06733.98581.79692.98942.4179
H173.38343.24052.23093.21632.65982.24121.10184.30673.74004.24692.74113.98583.06732.98941.79692.4179

picture of Norbornene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 100.370 C1 C2 C6 100.464
C1 C2 H10 117.327 C1 C3 C5 100.370
C1 C3 C7 100.464 C1 C3 H11 117.327
C2 C1 C3 93.960 C2 C1 H8 112.147
C2 C1 H9 113.030 C2 C4 C5 107.669
C2 C4 H12 124.477 C2 C6 C7 102.963
C2 C6 H14 110.162 C2 C6 H16 111.258
C3 C1 H8 112.147 C3 C1 H9 113.030
C3 C5 C4 107.669 C3 C5 H13 124.477
C3 C7 C6 102.963 C3 C7 H15 110.162
C3 C7 H17 111.258 C4 C2 C6 104.890
C4 C2 H10 116.712 C4 C5 H13 127.452
C5 C3 C7 104.890 C5 C3 H11 116.712
C5 C4 H12 127.452 C6 C2 H10 114.741
C6 C7 H15 110.821 C6 C7 H17 112.481
C7 C3 H11 114.741 C7 C6 H14 110.821
C7 C6 H16 112.481 H8 C1 H9 111.468
H14 C6 H16 109.053 H15 C7 H17 109.053
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.312      
2 C -0.347      
3 C -0.347      
4 C -0.123      
5 C -0.123      
6 C -0.354      
7 C -0.354      
8 H 0.212      
9 H 0.193      
10 H 0.185      
11 H 0.185      
12 H 0.183      
13 H 0.183      
14 H 0.203      
15 H 0.203      
16 H 0.206      
17 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.102 -0.329 0.000 0.344
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.981 -0.394 0.000
y -0.394 -44.989 0.000
z 0.000 0.000 -41.781
Traceless
 xyz
x 1.404 -0.394 0.000
y -0.394 -3.108 0.000
z 0.000 0.000 1.704
Polar
3z2-r23.409
x2-y23.008
xy-0.394
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.327 -0.698 0.000
y -0.698 8.537 0.000
z 0.000 0.000 10.071


<r2> (average value of r2) Å2
<r2> 167.169
(<r2>)1/2 12.929