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All results from a given calculation for C7H10 (Norbornene)

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

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/6-31+G**
 hartrees
Energy at 0K-272.376116
Energy at 298.15K-272.388066
HF Energy-272.376116
Nuclear repulsion energy306.294496
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/6-31+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 A' 3156 3120 19.67      
2 A' 3055 3021 27.50      
3 A' 3054 3019 44.09      
4 A' 3050 3015 15.05      
5 A' 2999 2965 56.36      
6 A' 2984 2950 43.84      
7 A' 1589 1571 4.38      
8 A' 1466 1449 0.82      
9 A' 1441 1424 5.57      
10 A' 1282 1267 0.58      
11 A' 1265 1251 1.61      
12 A' 1146 1133 0.28      
13 A' 1111 1098 6.08      
14 A' 1079 1067 1.61      
15 A' 1005 994 1.45      
16 A' 956 946 0.42      
17 A' 928 918 0.90      
18 A' 894 884 1.16      
19 A' 864 854 8.05      
20 A' 799 789 0.81      
21 A' 755 746 3.91      
22 A' 700 692 50.15      
23 A' 464 458 1.41      
24 A' 365 361 3.44      
25 A" 3131 3096 10.71      
26 A" 3050 3015 73.42      
27 A" 3039 3004 3.47      
28 A" 2988 2953 30.36      
29 A" 1441 1424 1.02      
30 A" 1322 1307 9.59      
31 A" 1254 1240 2.43      
32 A" 1240 1226 0.64      
33 A" 1232 1218 0.89      
34 A" 1191 1178 0.65      
35 A" 1148 1134 0.19      
36 A" 1102 1089 0.28      
37 A" 1016 1005 0.62      
38 A" 939 929 0.00      
39 A" 919 908 0.00      
40 A" 892 882 5.51      
41 A" 823 813 4.22      
42 A" 779 770 1.58      
43 A" 653 646 0.60      
44 A" 470 465 0.20      
45 A" 247 244 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 32640.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 32268.5 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/6-31+G**
ABC
0.12995 0.11348 0.09959

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.132 0.797 0.000
C2 0.223 0.253 1.132
C3 0.223 0.253 -1.132
C4 -1.128 0.788 0.677
C5 -1.128 0.788 -0.677
C6 0.223 -1.280 0.781
C7 0.223 -1.280 -0.781
H8 1.201 1.897 0.000
H9 2.145 0.355 0.000
H10 0.515 0.481 2.168
H11 0.515 0.481 -2.168
H12 -1.974 0.996 1.339
H13 -1.974 0.996 -1.339
H14 1.131 -1.763 1.182
H15 1.131 -1.763 -1.182
H16 -0.649 -1.798 1.212
H17 -0.649 -1.798 -1.212

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.55011.55012.35962.35962.39772.39771.10241.10512.27592.27593.38783.38782.81922.81923.37243.3724
C21.55012.26321.52322.32011.57222.45112.22272.23291.10063.32022.32843.38822.21143.19992.23003.2338
C31.55012.26322.32011.52322.45111.57222.22272.23293.32021.10063.38822.32843.19992.21143.23382.2300
C42.35961.52322.32011.35332.47262.86852.66733.37082.24063.29971.09362.19523.44513.88172.68423.2380
C52.35962.32011.52321.35332.86852.47262.66733.37083.29972.24062.19521.09363.88173.44513.23802.6842
C62.39771.57222.45112.47262.86851.56233.41462.64182.26013.44703.21203.80781.10402.21621.10182.2361
C72.39772.45111.57222.86852.47261.56233.41462.64183.44702.26013.80783.21202.21621.10402.23611.1018
H81.10242.22272.22272.66732.66733.41463.41461.80772.67872.67873.56133.56133.84653.84654.30644.3064
H91.10512.23292.23293.37083.37082.64182.64181.80772.71502.71504.37814.37812.62902.62903.72993.7299
H102.27591.10063.32022.24063.29972.26013.44702.67872.71504.33572.67384.33082.52694.07842.73194.2391
H112.27593.32021.10063.29972.24063.44702.26012.67872.71504.33574.33082.67384.07842.52694.23912.7319
H123.38782.32843.38821.09362.19523.21203.80783.56134.37812.67384.33082.67704.15674.85863.09534.0085
H133.38783.38822.32842.19521.09363.80783.21203.56134.37814.33082.67382.67704.85864.15674.00853.0953
H142.81922.21143.19993.44513.88171.10402.21623.84652.62902.52694.07844.15674.85862.36361.78072.9831
H152.81923.19992.21143.88173.44512.21621.10403.84652.62904.07842.52694.85864.15672.36362.98311.7807
H163.37242.23003.23382.68423.23801.10182.23614.30643.72992.73194.23913.09534.00851.78072.98312.4234
H173.37243.23382.23003.23802.68422.23611.10184.30643.72994.23912.73194.00853.09532.98311.78072.4234

picture of Norbornene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 100.310 C1 C2 C6 100.334
C1 C2 H10 117.315 C1 C3 C5 100.310
C1 C3 C7 100.334 C1 C3 H11 117.315
C2 C1 C3 93.779 C2 C1 H8 112.767
C2 C1 H9 113.420 C2 C4 C5 107.378
C2 C4 H12 124.888 C2 C6 C7 102.879
C2 C6 H14 110.217 C2 C6 H16 111.808
C3 C1 H8 112.767 C3 C1 H9 113.420
C3 C5 C4 107.378 C3 C5 H13 124.888
C3 C7 C6 102.879 C3 C7 H15 110.217
C3 C7 H17 111.808 C4 C2 C6 106.021
C4 C2 H10 116.369 C4 C5 H13 127.245
C5 C3 C7 106.021 C5 C3 H11 116.369
C5 C4 H12 127.245 C6 C2 H10 114.317
C6 C7 H15 111.279 C6 C7 H17 113.001
C7 C3 H11 114.317 C7 C6 H14 111.279
C7 C6 H16 113.001 H8 C1 H9 109.948
H14 C6 H16 107.659 H15 C7 H17 107.659
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.540      
2 C 0.119      
3 C 0.119      
4 C -0.207      
5 C -0.207      
6 C -0.424      
7 C -0.424      
8 H 0.175      
9 H 0.160      
10 H 0.140      
11 H 0.140      
12 H 0.138      
13 H 0.138      
14 H 0.168      
15 H 0.168      
16 H 0.168      
17 H 0.168      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.229 -0.366 0.000 0.432
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -43.182 -0.248 0.000
y -0.248 -46.024 0.000
z 0.000 0.000 -42.715
Traceless
 xyz
x 1.188 -0.248 0.000
y -0.248 -3.075 0.000
z 0.000 0.000 1.888
Polar
3z2-r23.775
x2-y22.842
xy-0.248
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.235 -0.636 0.000
y -0.636 11.342 0.000
z 0.000 0.000 12.046


<r2> (average value of r2) Å2
<r2> 166.833
(<r2>)1/2 12.916