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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: B3LYP/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 B3LYP/6-31+G**
 hartrees
Energy at 0K-273.991409
Energy at 298.15K-274.006375
Nuclear repulsion energy326.693868
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/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 3102 2991 110.31      
2 A1 3096 2985 0.07      
3 A1 3054 2945 13.53      
4 A1 3045 2936 55.39      
5 A1 1533 1478 0.26      
6 A1 1499 1446 5.95      
7 A1 1347 1299 1.37      
8 A1 1286 1240 0.79      
9 A1 1164 1122 0.75      
10 A1 1001 965 0.06      
11 A1 928 895 1.48      
12 A1 880 849 1.29      
13 A1 821 791 0.08      
14 A1 758 731 0.74      
15 A1 405 390 0.00      
16 A2 3076 2966 0.00      
17 A2 3042 2933 0.00      
18 A2 1489 1436 0.00      
19 A2 1327 1279 0.00      
20 A2 1305 1258 0.00      
21 A2 1237 1193 0.00      
22 A2 1140 1099 0.00      
23 A2 965 931 0.00      
24 A2 957 923 0.00      
25 A2 547 528 0.00      
26 A2 169 163 0.00      
27 B1 3097 2986 70.48      
28 B1 3091 2981 5.03      
29 B1 3053 2944 101.77      
30 B1 1509 1455 5.04      
31 B1 1349 1301 0.12      
32 B1 1239 1195 2.53      
33 B1 1129 1088 0.07      
34 B1 1038 1001 0.40      
35 B1 960 925 0.37      
36 B1 894 862 1.08      
37 B1 805 776 0.28      
38 B1 453 437 0.03      
39 B2 3091 2980 102.20      
40 B2 3078 2968 13.85      
41 B2 3042 2933 62.09      
42 B2 1502 1448 1.53      
43 B2 1346 1298 1.21      
44 B2 1290 1244 0.15      
45 B2 1272 1226 0.77      
46 B2 1186 1144 0.28      
47 B2 1093 1054 0.18      
48 B2 963 929 0.47      
49 B2 821 792 1.93      
50 B2 764 737 0.08      
51 B2 343 330 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 38789.8 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 37401.1 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/6-31+G**
ABC
0.12282 0.10651 0.09197

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.389
C2 0.000 1.134 0.340
C3 0.000 -1.134 0.340
C4 1.257 0.783 -0.494
C5 -1.257 0.783 -0.494
C6 -1.257 -0.783 -0.494
C7 1.257 -0.783 -0.494
H8 -0.891 0.000 2.028
H9 0.891 0.000 2.028
H10 0.000 2.156 0.731
H11 0.000 -2.156 0.731
H12 2.162 1.178 -0.018
H13 -2.162 -1.178 -0.018
H14 2.162 -1.178 -0.018
H15 -2.162 1.178 -0.018
H16 1.210 -1.206 -1.503
H17 -1.210 1.206 -1.503
H18 1.210 1.206 -1.503
H19 -1.210 -1.206 -1.503

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.54511.54512.39572.39572.39572.39571.09631.09632.25422.25422.83592.83592.83592.83593.35943.35943.35943.3594
C21.54512.26821.54851.54852.43942.43942.22022.22021.09413.31322.19183.18543.18542.19183.21542.20592.20593.2154
C31.54512.26822.43942.43941.54851.54852.22022.22023.31321.09413.18542.19182.19183.18542.20593.21543.21542.2059
C42.39571.54852.43942.51362.96171.56643.40382.66562.22803.42321.09583.96972.21153.47402.23142.69851.09553.3258
C52.39571.54852.43942.51361.56642.96172.66563.40382.22803.42323.47402.21153.96971.09583.32581.09552.69852.2314
C62.39572.43941.54852.96171.56642.51362.66563.40383.42322.22803.96971.09583.47402.21152.69852.23143.32581.0955
C72.39572.43941.54851.56642.96172.51363.40382.66563.42322.22802.21153.47401.09583.96971.09553.32582.23142.6985
H81.09632.22022.22023.40382.66562.66563.40381.78252.66912.66913.85942.68113.85942.68114.28223.74494.28223.7449
H91.09632.22022.22022.66563.40383.40382.66561.78252.66912.66912.68113.85942.68113.85943.74494.28223.74494.2822
H102.25421.09413.31322.22802.22803.42323.42322.66912.66914.31182.48834.04334.04332.48834.21422.71242.71244.2142
H112.25423.31321.09413.42323.42322.22802.22802.66912.66914.31184.04332.48832.48834.04332.71244.21424.21422.7124
H122.83592.19183.18541.09583.47403.96972.21153.85942.68112.48834.04334.92372.35564.32362.96563.68421.76404.3882
H132.83593.18542.19183.96972.21151.09583.47402.68113.85944.04332.48834.92374.32362.35563.68422.96564.38821.7640
H142.83593.18542.19182.21153.96973.47401.09583.85942.68114.04332.48832.35564.32364.92371.76404.38822.96563.6842
H152.83592.19183.18543.47401.09582.21153.96972.68113.85942.48834.04334.32362.35564.92374.38821.76403.68422.9656
H163.35943.21542.20592.23143.32582.69851.09554.28223.74494.21422.71242.96563.68421.76404.38823.41692.41272.4196
H173.35942.20593.21542.69851.09552.23143.32583.74494.28222.71244.21423.68422.96564.38821.76403.41692.41962.4127
H183.35942.20593.21541.09552.69853.32582.23144.28223.74492.71244.21421.76404.38822.96563.68422.41272.41963.4169
H193.35943.21542.20593.32582.23141.09552.69853.74494.28224.21422.71244.38821.76403.68422.96562.41962.41273.4169

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.499 C1 C2 C5 101.499
C1 C2 H10 116.283 C1 C3 C6 101.499
C1 C3 C7 101.499 C1 C3 H11 116.283
C2 C1 C3 94.445 C2 C1 H8 113.297
C2 C1 H9 113.297 C2 C4 C7 103.098
C2 C4 H12 110.800 C2 C4 H18 111.950
C2 C5 C6 103.098 C2 C5 H15 110.800
C2 C5 H17 111.950 C3 C1 H8 113.297
C3 C1 H9 113.297 C3 C6 C5 103.098
C3 C6 H13 110.800 C3 C6 H19 111.950
C3 C7 C4 103.098 C3 C7 H14 110.800
C3 C7 H16 111.950 C4 C2 C5 108.506
C4 C2 H10 113.834 C4 C7 H14 111.106
C4 C7 H16 112.722 C5 C2 H10 113.834
C5 C6 H13 111.106 C5 C6 H19 112.722
C6 C3 C7 108.506 C6 C3 H11 113.834
C6 C5 H15 111.106 C6 C5 H17 112.722
C7 C3 H11 113.834 C7 C4 H12 111.106
C7 C4 H18 112.722 H8 C1 H9 108.771
H12 C4 H18 107.221 H13 C6 H19 107.221
H14 C7 H16 107.221 H15 C5 H17 107.221
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.441      
2 C 0.156      
3 C 0.156      
4 C -0.364      
5 C -0.364      
6 C -0.364      
7 C -0.364      
8 H 0.137      
9 H 0.137      
10 H 0.115      
11 H 0.115      
12 H 0.137      
13 H 0.137      
14 H 0.137      
15 H 0.137      
16 H 0.134      
17 H 0.134      
18 H 0.134      
19 H 0.134      


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 0.086 0.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.758 0.000 0.000
y 0.000 -46.027 0.000
z 0.000 0.000 -45.559
Traceless
 xyz
x 0.035 0.000 0.000
y 0.000 -0.368 0.000
z 0.000 0.000 0.333
Polar
3z2-r20.667
x2-y20.269
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.546 0.000 0.000
y 0.000 11.190 0.000
z 0.000 0.000 10.859


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000