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All results from a given calculation for C7H8 (Norbornadiene)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-271.485436
Energy at 298.15K-271.494842
Nuclear repulsion energy288.796950
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 mPW1PW91/6-311G**
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 3255 3114 7.51      
2 A1 3145 3009 9.03      
3 A1 3074 2941 45.61      
4 A1 1674 1602 0.16      
5 A1 1491 1427 1.99      
6 A1 1269 1214 4.92      
7 A1 1134 1085 0.34      
8 A1 962 920 2.81      
9 A1 907 868 9.44      
10 A1 791 757 1.29      
11 A1 760 727 60.42      
12 A1 431 412 5.54      
13 A2 3226 3086 0.00      
14 A2 1304 1248 0.00      
15 A2 1268 1213 0.00      
16 A2 1141 1091 0.00      
17 A2 944 903 0.00      
18 A2 922 882 0.00      
19 A2 726 695 0.00      
20 A2 457 437 0.00      
21 B1 3252 3111 17.92      
22 B1 3138 3002 35.55      
23 B1 1631 1561 7.24      
24 B1 1240 1186 2.82      
25 B1 1086 1039 0.73      
26 B1 1036 991 0.58      
27 B1 922 882 2.02      
28 B1 685 655 38.60      
29 B1 507 485 6.80      
30 B2 3228 3088 11.21      
31 B2 3142 3006 57.91      
32 B2 1348 1289 27.16      
33 B2 1279 1223 0.07      
34 B2 1189 1138 0.81      
35 B2 984 941 0.74      
36 B2 951 910 3.19      
37 B2 901 862 2.05      
38 B2 823 788 9.02      
39 B2 553 529 1.57      

Unscaled Zero Point Vibrational Energy (zpe) 28387.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 27158.0 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 mPW1PW91/6-311G**
ABC
0.14429 0.12126 0.10709

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.347
C2 0.000 1.116 0.273
C3 0.000 -1.116 0.273
C4 1.236 0.665 -0.518
C5 1.236 -0.665 -0.518
C6 -1.236 0.665 -0.518
C7 -1.236 -0.665 -0.518
H8 -0.900 0.000 1.966
H9 0.900 0.000 1.966
H10 0.000 2.150 0.614
H11 0.000 -2.150 0.614
H12 1.922 1.332 -1.021
H13 1.922 -1.332 -1.021
H14 -1.922 1.332 -1.021
H15 -1.922 -1.332 -1.021

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.54911.54912.33442.33442.33442.33441.09191.09192.27192.27193.32823.32823.32823.3282
C21.54912.23301.53542.30811.53542.30812.21832.21831.08833.28442.32723.37132.32723.3713
C31.54912.23302.30811.53542.30811.53542.21832.21833.28441.08833.37132.32723.37132.3272
C42.33441.53542.30811.33012.47122.80643.34272.59382.23933.27631.08112.17093.26613.7698
C52.33442.30811.53541.33012.80642.47123.34272.59383.27632.23932.17091.08113.76983.2661
C62.33441.53542.30812.47122.80641.33012.59383.34272.23933.27633.26613.76981.08112.1709
C72.33442.30811.53542.80642.47121.33012.59383.34273.27632.23933.76983.26612.17091.0811
H81.09192.21832.21833.34273.34272.59382.59381.79932.69472.69474.31954.31953.42673.4267
H91.09192.21832.21832.59382.59383.34273.34271.79932.69472.69473.42673.42674.31954.3195
H102.27191.08833.28442.23933.27632.23933.27632.69472.69474.30052.65244.30042.65244.3004
H112.27193.28441.08833.27632.23933.27632.23932.69472.69474.30054.30042.65244.30042.6524
H123.32822.32723.37131.08112.17093.26613.76984.31953.42672.65244.30042.66443.84384.6770
H133.32823.37132.32722.17091.08113.76983.26614.31953.42674.30042.65242.66444.67703.8438
H143.32822.32723.37133.26613.76981.08112.17093.42674.31952.65244.30043.84384.67702.6644
H153.32823.37132.32723.76983.26612.17091.08113.42674.31954.30042.65244.67703.84382.6644

picture of Norbornadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 98.371 C1 C2 C6 98.371
C1 C2 H10 117.895 C1 C3 C5 98.371
C1 C3 C7 98.371 C1 C3 H11 117.895
C2 C1 C3 92.231 C2 C1 H8 113.131
C2 C1 H9 113.131 C2 C4 C5 107.099
C2 C4 H12 124.692 C2 C6 C7 107.099
C2 C6 H14 124.692 C3 C1 H8 113.131
C3 C1 H9 113.131 C3 C5 C4 107.099
C3 C5 H13 124.692 C3 C7 C6 107.099
C3 C7 H15 124.692 C4 C2 C6 107.169
C4 C2 H10 116.138 C4 C5 H13 128.108
C5 C3 C7 107.169 C5 C3 H11 116.138
C5 C4 H12 128.108 C6 C2 H10 116.138
C6 C7 H15 128.108 C7 C3 H11 116.138
C7 C6 H14 128.108 H8 C1 H9 110.960
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.144      
2 C -0.266      
3 C -0.266      
4 C -0.055      
5 C -0.055      
6 C -0.055      
7 C -0.055      
8 H 0.132      
9 H 0.132      
10 H 0.116      
11 H 0.116      
12 H 0.100      
13 H 0.100      
14 H 0.100      
15 H 0.100      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.099 0.000 0.000
y 0.000 -38.624 0.000
z 0.000 0.000 -42.646
Traceless
 xyz
x -1.464 0.000 0.000
y 0.000 3.749 0.000
z 0.000 0.000 -2.284
Polar
3z2-r2-4.568
x2-y2-3.475
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.735 0.000 0.000
y 0.000 11.122 0.000
z 0.000 0.000 8.409


<r2> (average value of r2) Å2
<r2> 151.529
(<r2>)1/2 12.310