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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: B3LYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-272.494092
Energy at 298.15K-272.509140
Nuclear repulsion energy325.466873
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/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 A1 3132 3013 44.02      
2 A1 3129 3010 29.07      
3 A1 3077 2960 4.36      
4 A1 3069 2952 37.45      
5 A1 1576 1516 0.72      
6 A1 1538 1480 8.12      
7 A1 1361 1309 2.04      
8 A1 1303 1254 1.94      
9 A1 1193 1148 1.35      
10 A1 1005 967 0.02      
11 A1 932 897 1.72      
12 A1 886 852 1.48      
13 A1 829 797 0.04      
14 A1 764 735 1.07      
15 A1 418 402 0.03      
16 A2 3101 2984 0.00      
17 A2 3064 2948 0.00      
18 A2 1538 1480 0.00      
19 A2 1354 1303 0.00      
20 A2 1327 1277 0.00      
21 A2 1271 1222 0.00      
22 A2 1171 1127 0.00      
23 A2 988 950 0.00      
24 A2 964 927 0.00      
25 A2 563 542 0.00      
26 A2 170 163 0.00      
27 B1 3126 3007 48.28      
28 B1 3120 3001 0.01      
29 B1 3076 2959 72.70      
30 B1 1553 1494 6.60      
31 B1 1374 1321 0.12      
32 B1 1246 1199 4.20      
33 B1 1165 1120 0.14      
34 B1 1059 1018 0.60      
35 B1 956 919 0.32      
36 B1 884 850 1.06      
37 B1 816 785 0.59      
38 B1 453 436 0.00      
39 B2 3123 3004 66.17      
40 B2 3105 2987 7.59      
41 B2 3063 2947 43.68      
42 B2 1551 1493 2.79      
43 B2 1369 1317 3.98      
44 B2 1330 1280 0.19      
45 B2 1300 1251 1.37      
46 B2 1188 1143 0.24      
47 B2 1114 1071 0.35      
48 B2 982 945 0.51      
49 B2 820 789 2.74      
50 B2 773 744 0.02      
51 B2 352 339 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 39309.4 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 37815.6 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/3-21G*
ABC
0.12103 0.10599 0.09160

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.403
C2 0.000 1.144 0.349
C3 0.000 -1.144 0.349
C4 1.256 0.789 -0.500
C5 -1.256 0.789 -0.500
C6 -1.256 -0.789 -0.500
C7 1.256 -0.789 -0.500
H8 -0.898 0.000 2.030
H9 0.898 0.000 2.030
H10 0.000 2.162 0.742
H11 0.000 -2.162 0.742
H12 2.164 1.176 -0.026
H13 -2.164 -1.176 -0.026
H14 2.164 -1.176 -0.026
H15 -2.164 1.176 -0.026
H16 1.187 -1.204 -1.510
H17 -1.187 1.204 -1.510
H18 1.187 1.204 -1.510
H19 -1.187 -1.204 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.55541.55542.41282.41282.41282.41281.09481.09482.26112.26112.84752.84752.84752.84753.36833.36833.36833.3683
C21.55542.28781.55701.55702.45662.45662.22242.22241.09153.32942.19673.19463.19462.19673.22172.20672.20673.2217
C31.55542.28782.45662.45661.55701.55702.22242.22243.32941.09153.19462.19672.19673.19462.20673.22173.22172.2067
C42.41281.55702.45662.51192.96651.57833.41482.67422.23723.43951.09513.97282.21603.47442.23572.67611.09413.3110
C52.41281.55702.45662.51191.57832.96652.67423.41482.23723.43953.47442.21603.97281.09513.31101.09412.67612.2357
C62.41282.45661.55702.96651.57832.51192.67423.41483.43952.23723.97281.09513.47442.21602.67612.23573.31101.0941
C72.41282.45661.55701.57832.96652.51193.41482.67423.43952.23722.21603.47441.09513.97281.09413.31102.23572.6761
H81.09482.22242.22243.41482.67422.67423.41481.79532.67212.67213.87082.68563.87082.68564.28113.75034.28113.7503
H91.09482.22242.22242.67423.41483.41482.67421.79532.67212.67212.68563.87082.68563.87083.75034.28113.75034.2811
H102.26111.09153.32942.23722.23723.43953.43952.67212.67214.32452.49924.05164.05162.49924.22062.71992.71994.2206
H112.26113.32941.09153.43953.43952.23722.23722.67212.67214.32454.05162.49922.49924.05162.71994.22064.22062.7199
H122.84752.19673.19461.09513.47443.97282.21603.87082.68562.49924.05164.92592.35174.32842.97013.66551.77704.3703
H132.84753.19462.19673.97282.21601.09513.47442.68563.87084.05162.49924.92594.32842.35173.66552.97014.37031.7770
H142.84753.19462.19672.21603.97283.47441.09513.87082.68564.05162.49922.35174.32844.92591.77704.37032.97013.6655
H152.84752.19673.19463.47441.09512.21603.97282.68563.87082.49924.05164.32842.35174.92594.37031.77703.66552.9701
H163.36833.22172.20672.23573.31102.67611.09414.28113.75034.22062.71992.97013.66551.77704.37033.38222.40852.3746
H173.36832.20673.22172.67611.09412.23573.31103.75034.28112.71994.22063.66552.97014.37031.77703.38222.37462.4085
H183.36832.20673.22171.09412.67613.31102.23574.28113.75032.71994.22061.77704.37032.97013.66552.40852.37463.3822
H193.36833.22172.20673.31102.23571.09412.67613.75034.28114.22062.71994.37031.77703.66552.97012.37462.40853.3822

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.652 C1 C2 C5 101.652
C1 C2 H10 116.258 C1 C3 C6 101.652
C1 C3 C7 101.652 C1 C3 H11 116.258
C2 C1 C3 94.688 C2 C1 H8 112.826
C2 C1 H9 112.826 C2 C4 C7 103.170
C2 C4 H12 110.636 C2 C4 H18 111.492
C2 C5 C6 103.170 C2 C5 H15 110.636
C2 C5 H17 111.492 C3 C1 H8 112.826
C3 C1 H9 112.826 C3 C6 C5 103.170
C3 C6 H13 110.636 C3 C6 H19 111.492
C3 C7 C4 103.170 C3 C7 H14 110.636
C3 C7 H16 111.492 C4 C2 C5 107.538
C4 C2 H10 114.129 C4 C7 H14 110.678
C4 C7 H16 112.297 C5 C2 H10 114.129
C5 C6 H13 110.678 C5 C6 H19 112.297
C6 C3 C7 107.538 C6 C3 H11 114.129
C6 C5 H15 110.678 C6 C5 H17 112.297
C7 C3 H11 114.129 C7 C4 H12 110.678
C7 C4 H18 112.297 H8 C1 H9 110.147
H12 C4 H18 108.525 H13 C6 H19 108.525
H14 C7 H16 108.525 H15 C5 H17 108.525
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.318      
2 C -0.257      
3 C -0.257      
4 C -0.337      
5 C -0.337      
6 C -0.337      
7 C -0.337      
8 H 0.182      
9 H 0.182      
10 H 0.170      
11 H 0.170      
12 H 0.186      
13 H 0.186      
14 H 0.186      
15 H 0.186      
16 H 0.183      
17 H 0.183      
18 H 0.183      
19 H 0.183      


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 0.057 0.057
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.918 0.000 0.000
y 0.000 -45.102 0.000
z 0.000 0.000 -44.773
Traceless
 xyz
x 0.020 0.000 0.000
y 0.000 -0.257 0.000
z 0.000 0.000 0.237
Polar
3z2-r20.475
x2-y20.185
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.834 0.000 0.000
y 0.000 9.354 0.000
z 0.000 0.000 9.224


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