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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-273.524068
Energy at 298.15K-273.538971
Nuclear repulsion energy324.776911
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/6-31G
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 3060 3017 83.95      
2 A1 3056 3014 9.52      
3 A1 3001 2959 1.13      
4 A1 2997 2955 54.66      
5 A1 1518 1497 0.42      
6 A1 1483 1463 8.50      
7 A1 1323 1305 0.96      
8 A1 1260 1243 1.50      
9 A1 1149 1133 1.36      
10 A1 1002 988 0.09      
11 A1 925 912 1.53      
12 A1 878 865 1.74      
13 A1 818 807 0.00      
14 A1 754 744 0.94      
15 A1 403 397 0.01      
16 A2 3031 2989 0.00      
17 A2 2987 2946 0.00      
18 A2 1482 1461 0.00      
19 A2 1307 1289 0.00      
20 A2 1287 1269 0.00      
21 A2 1222 1205 0.00      
22 A2 1129 1113 0.00      
23 A2 962 948 0.00      
24 A2 952 939 0.00      
25 A2 543 536 0.00      
26 A2 168 166 0.00      
27 B1 3060 3018 52.80      
28 B1 3050 3008 8.80      
29 B1 2999 2958 90.78      
30 B1 1495 1475 6.88      
31 B1 1333 1314 0.00      
32 B1 1209 1192 3.76      
33 B1 1127 1111 0.17      
34 B1 1032 1018 0.21      
35 B1 949 936 0.60      
36 B1 891 879 1.25      
37 B1 802 791 0.53      
38 B1 444 438 0.01      
39 B2 3049 3007 87.85      
40 B2 3034 2992 8.52      
41 B2 2986 2945 55.67      
42 B2 1494 1474 2.37      
43 B2 1324 1306 2.00      
44 B2 1283 1265 0.12      
45 B2 1253 1236 0.81      
46 B2 1159 1143 0.37      
47 B2 1082 1067 0.16      
48 B2 966 953 0.37      
49 B2 816 805 2.27      
50 B2 758 748 0.01      
51 B2 340 336 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 38315.1 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 37786.3 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/6-31G
ABC
0.12120 0.10535 0.09112

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.401
C2 0.000 1.141 0.344
C3 0.000 -1.141 0.344
C4 1.262 0.787 -0.498
C5 -1.262 0.787 -0.498
C6 -1.262 -0.787 -0.498
C7 1.262 -0.787 -0.498
H8 -0.900 0.000 2.041
H9 0.900 0.000 2.041
H10 0.000 2.170 0.738
H11 0.000 -2.170 0.738
H12 2.176 1.185 -0.021
H13 -2.176 -1.185 -0.021
H14 2.176 -1.185 -0.021
H15 -2.176 1.185 -0.021
H16 1.206 -1.212 -1.515
H17 -1.206 1.212 -1.515
H18 1.206 1.212 -1.515
H19 -1.206 -1.212 -1.515

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.55541.55542.41182.41182.41182.41181.10431.10432.26932.26932.85672.85672.85672.85673.38073.38073.38073.3807
C21.55542.28211.55751.55752.45302.45302.23422.23421.10183.33452.20643.20573.20572.20643.23252.21742.21743.2325
C31.55542.28212.45302.45301.55751.55752.23422.23423.33451.10183.20572.20642.20643.20572.21743.23253.23252.2174
C42.41181.55752.45302.52302.97361.57383.42602.68252.24303.44411.10493.99102.22503.49262.24372.70261.10423.3346
C52.41181.55752.45302.52301.57382.97362.68253.42602.24303.44413.49262.22503.99101.10493.33461.10422.70262.2437
C62.41182.45301.55752.97361.57382.52302.68253.42603.44412.24303.99101.10493.49262.22502.70262.24373.33461.1042
C72.41182.45301.55751.57382.97362.52303.42602.68253.44412.24302.22503.49261.10493.99101.10423.33462.24372.7026
H81.10432.23422.23423.42602.68252.68253.42601.80002.68682.68683.88812.69913.88812.69914.30723.76974.30723.7697
H91.10432.23422.23422.68253.42603.42602.68251.80002.68682.68682.69913.88812.69913.88813.76974.30723.76974.3072
H102.26931.10183.33452.24302.24303.44413.44412.68682.68684.34032.50594.07014.07012.50594.23902.72912.72914.2390
H112.26933.33451.10183.44413.44412.24302.24302.68682.68684.34034.07012.50592.50594.07012.72914.23904.23902.7291
H122.85672.20643.20571.10493.49263.99102.22503.88812.69912.50594.07014.95462.37004.35102.98633.69681.78124.4058
H132.85673.20572.20643.99102.22501.10493.49262.69913.88814.07012.50594.95464.35102.37003.69682.98634.40581.7812
H142.85673.20572.20642.22503.99103.49261.10493.88812.69914.07012.50592.37004.35104.95461.78124.40582.98633.6968
H152.85672.20643.20573.49261.10492.22503.99102.69913.88812.50594.07014.35102.37004.95464.40581.78123.69682.9863
H163.38073.23252.21742.24373.33462.70261.10424.30723.76974.23902.72912.98633.69681.78124.40583.41952.42412.4118
H173.38072.21743.23252.70261.10422.24373.33463.76974.30722.72914.23903.69682.98634.40581.78123.41952.41182.4241
H183.38072.21743.23251.10422.70263.33462.24374.30723.76972.72914.23901.78124.40582.98633.69682.42412.41183.4195
H193.38073.23252.21743.33462.24371.10422.70263.76974.30724.23902.72914.40581.78123.69682.98632.41182.42413.4195

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.571 C1 C2 C5 101.571
C1 C2 H10 116.267 C1 C3 C6 101.571
C1 C3 C7 101.571 C1 C3 H11 116.267
C2 C1 C3 94.377 C2 C1 H8 113.192
C2 C1 H9 113.192 C2 C4 C7 103.142
C2 C4 H12 110.797 C2 C4 H18 111.705
C2 C5 C6 103.142 C2 C5 H15 110.797
C2 C5 H17 111.705 C3 C1 H8 113.192
C3 C1 H9 113.192 C3 C6 C5 103.142
C3 C6 H13 110.797 C3 C6 H19 111.705
C3 C7 C4 103.142 C3 C7 H14 110.797
C3 C7 H16 111.705 C4 C2 C5 108.188
C4 C2 H10 113.917 C4 C7 H14 111.118
C4 C7 H16 112.645 C5 C2 H10 113.917
C5 C6 H13 111.118 C5 C6 H19 112.645
C6 C3 C7 108.188 C6 C3 H11 113.917
C6 C5 H15 111.118 C6 C5 H17 112.645
C7 C3 H11 113.917 C7 C4 H12 111.118
C7 C4 H18 112.645 H8 C1 H9 109.173
H12 C4 H18 107.473 H13 C6 H19 107.473
H14 C7 H16 107.473 H15 C5 H17 107.473
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.260      
2 C -0.158      
3 C -0.158      
4 C -0.269      
5 C -0.269      
6 C -0.269      
7 C -0.269      
8 H 0.139      
9 H 0.139      
10 H 0.125      
11 H 0.125      
12 H 0.142      
13 H 0.142      
14 H 0.142      
15 H 0.142      
16 H 0.139      
17 H 0.139      
18 H 0.139      
19 H 0.139      


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 0.052 0.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.677 0.000 0.000
y 0.000 -45.018 0.000
z 0.000 0.000 -44.629
Traceless
 xyz
x 0.147 0.000 0.000
y 0.000 -0.365 0.000
z 0.000 0.000 0.219
Polar
3z2-r20.438
x2-y20.341
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.549 0.000 0.000
y 0.000 10.004 0.000
z 0.000 0.000 9.903


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