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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-273.582411
Energy at 298.15K-273.597151
Nuclear repulsion energy326.106850
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 PBEPBEultrafine/6-31G*
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 3048 2997 87.93      
2 A1 3040 2990 0.33      
3 A1 2996 2947 8.91      
4 A1 2990 2940 47.28      
5 A1 1503 1478 0.13      
6 A1 1468 1444 5.18      
7 A1 1316 1294 0.58      
8 A1 1258 1237 0.88      
9 A1 1138 1119 1.23      
10 A1 994 978 0.08      
11 A1 919 904 0.86      
12 A1 872 858 1.13      
13 A1 806 793 0.01      
14 A1 744 732 0.76      
15 A1 391 384 0.00      
16 A2 3023 2973 0.00      
17 A2 2986 2937 0.00      
18 A2 1461 1436 0.00      
19 A2 1299 1277 0.00      
20 A2 1269 1248 0.00      
21 A2 1210 1190 0.00      
22 A2 1113 1095 0.00      
23 A2 953 937 0.00      
24 A2 935 919 0.00      
25 A2 528 519 0.00      
26 A2 152 150 0.00      
27 B1 3044 2994 61.78      
28 B1 3039 2989 0.24      
29 B1 2996 2947 81.60      
30 B1 1479 1454 4.10      
31 B1 1319 1297 0.50      
32 B1 1210 1190 2.19      
33 B1 1107 1088 0.14      
34 B1 1019 1003 0.09      
35 B1 947 932 0.66      
36 B1 892 877 0.72      
37 B1 786 773 0.34      
38 B1 436 428 0.02      
39 B2 3035 2985 83.44      
40 B2 3025 2975 12.62      
41 B2 2985 2936 51.49      
42 B2 1474 1450 0.99      
43 B2 1314 1292 0.36      
44 B2 1258 1237 0.03      
45 B2 1241 1221 0.56      
46 B2 1155 1135 0.27      
47 B2 1063 1045 0.06      
48 B2 947 931 0.33      
49 B2 816 802 1.39      
50 B2 748 736 0.01      
51 B2 323 318 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 38032.7 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 37405.2 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 PBEPBEultrafine/6-31G*
ABC
0.12245 0.10628 0.09182

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.391
C2 0.000 1.135 0.340
C3 0.000 -1.135 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 -0.899 0.000 2.033
H9 0.899 0.000 2.033
H10 0.000 2.165 0.734
H11 0.000 -2.165 0.734
H12 2.169 1.181 -0.015
H13 -2.169 -1.181 -0.015
H14 2.169 -1.181 -0.015
H15 -2.169 1.181 -0.015
H16 1.209 -1.211 -1.511
H17 -1.209 1.211 -1.511
H18 1.209 1.211 -1.511
H19 -1.209 -1.211 -1.511

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.54681.54682.39722.39722.39722.39721.10481.10482.26222.26222.84162.84162.84162.84163.36903.36903.36903.3690
C21.54682.26991.54891.54892.44012.44012.22792.22791.10253.32312.19793.19263.19262.19793.22392.21222.21223.2239
C31.54682.26992.44012.44011.54891.54892.22792.22793.32311.10253.19262.19792.19793.19262.21223.22393.22392.2122
C42.39721.54892.44012.51312.96111.56613.41302.67032.23533.43171.10443.97722.21793.48122.23912.70131.10413.3304
C52.39721.54892.44012.51311.56612.96112.67033.41302.23533.43173.48122.21793.97721.10443.33041.10412.70132.2391
C62.39722.44011.54892.96111.56612.51312.67033.41303.43172.23533.97721.10443.48122.21792.70132.23913.33041.1041
C72.39722.44011.54891.56612.96112.51313.41302.67033.43172.23532.21793.48121.10443.97721.10413.33042.23912.7013
H81.10482.22792.22793.41302.67032.67033.41301.79782.68002.68003.87312.68403.87312.68404.29803.75834.29803.7583
H91.10482.22792.22792.67033.41303.41302.67031.79782.68002.68002.68403.87312.68403.87313.75834.29803.75834.2980
H102.26221.10253.32312.23532.23533.43173.43172.68002.68004.32942.49634.05684.05682.49634.23082.72212.72214.2308
H112.26223.32311.10253.43173.43172.23532.23532.68002.68004.32944.05682.49632.49634.05682.72214.23084.23082.7221
H122.84162.19793.19261.10443.48123.97722.21793.87312.68402.49634.05684.93862.36214.33712.98013.69421.77704.4011
H132.84163.19262.19793.97722.21791.10443.48122.68403.87314.05682.49634.93864.33712.36213.69422.98014.40111.7770
H142.84163.19262.19792.21793.97723.48121.10443.87312.68404.05682.49632.36214.33714.93861.77704.40112.98013.6942
H152.84162.19793.19263.48121.10442.21793.97722.68403.87312.49634.05684.33712.36214.93864.40111.77703.69422.9801
H163.36903.22392.21222.23913.33042.70131.10414.29803.75834.23082.72212.98013.69421.77704.40113.42342.42282.4185
H173.36902.21223.22392.70131.10412.23913.33043.75834.29802.72214.23083.69422.98014.40111.77703.42342.41852.4228
H183.36902.21223.22391.10412.70133.33042.23914.29803.75832.72214.23081.77704.40112.98013.69422.42282.41853.4234
H193.36903.22392.21223.33042.23911.10412.70133.75834.29804.23082.72214.40111.77703.69422.98012.41852.42283.4234

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.497 C1 C2 C5 101.497
C1 C2 H10 116.271 C1 C3 C6 101.497
C1 C3 C7 101.497 C1 C3 H11 116.271
C2 C1 C3 94.403 C2 C1 H8 113.268
C2 C1 H9 113.268 C2 C4 C7 103.132
C2 C4 H12 110.756 C2 C4 H18 111.907
C2 C5 C6 103.132 C2 C5 H15 110.756
C2 C5 H17 111.907 C3 C1 H8 113.268
C3 C1 H9 113.268 C3 C6 C5 103.132
C3 C6 H13 110.756 C3 C6 H19 111.907
C3 C7 C4 103.132 C3 C7 H14 110.756
C3 C7 H16 111.907 C4 C2 C5 108.440
C4 C2 H10 113.869 C4 C7 H14 111.123
C4 C7 H16 112.829 C5 C2 H10 113.869
C5 C6 H13 111.123 C5 C6 H19 112.829
C6 C3 C7 108.440 C6 C3 H11 113.869
C6 C5 H15 111.123 C6 C5 H17 112.829
C7 C3 H11 113.869 C7 C4 H12 111.123
C7 C4 H18 112.829 H8 C1 H9 108.898
H12 C4 H18 107.153 H13 C6 H19 107.153
H14 C7 H16 107.153 H15 C5 H17 107.153
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.290      
2 C -0.124      
3 C -0.124      
4 C -0.292      
5 C -0.292      
6 C -0.292      
7 C -0.292      
8 H 0.144      
9 H 0.144      
10 H 0.127      
11 H 0.127      
12 H 0.147      
13 H 0.147      
14 H 0.147      
15 H 0.147      
16 H 0.145      
17 H 0.145      
18 H 0.145      
19 H 0.145      


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 0.061 0.061
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.513 0.000 0.000
y 0.000 -44.888 0.000
z 0.000 0.000 -44.426
Traceless
 xyz
x 0.144 0.000 0.000
y 0.000 -0.418 0.000
z 0.000 0.000 0.275
Polar
3z2-r20.549
x2-y20.375
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.643 0.000 0.000
y 0.000 10.116 0.000
z 0.000 0.000 9.957


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