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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: PBEPBE/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-273.603813
Energy at 298.15K-273.618592
Nuclear repulsion energy326.418109
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(2df,p)
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 3044 3013 76.45      
2 A1 3035 3004 0.70      
3 A1 2991 2960 13.21      
4 A1 2983 2952 42.71      
5 A1 1472 1456 0.16      
6 A1 1435 1420 4.55      
7 A1 1301 1288 0.42      
8 A1 1241 1228 0.84      
9 A1 1126 1115 0.85      
10 A1 988 978 0.05      
11 A1 921 912 0.81      
12 A1 869 860 0.91      
13 A1 801 793 0.00      
14 A1 742 734 0.75      
15 A1 391 387 0.01      
16 A2 3019 2988 0.00      
17 A2 2981 2950 0.00      
18 A2 1429 1414 0.00      
19 A2 1284 1271 0.00      
20 A2 1254 1241 0.00      
21 A2 1196 1184 0.00      
22 A2 1103 1092 0.00      
23 A2 950 940 0.00      
24 A2 924 915 0.00      
25 A2 530 524 0.00      
26 A2 163 161 0.00      
27 B1 3041 3009 54.71      
28 B1 3036 3005 0.66      
29 B1 2991 2960 77.75      
30 B1 1447 1432 3.45      
31 B1 1302 1289 0.60      
32 B1 1193 1181 1.52      
33 B1 1091 1080 0.13      
34 B1 1010 999 0.05      
35 B1 937 927 0.50      
36 B1 891 882 0.73      
37 B1 775 767 0.31      
38 B1 433 428 0.00      
39 B2 3030 2999 73.82      
40 B2 3021 2990 14.82      
41 B2 2980 2949 48.53      
42 B2 1443 1428 0.72      
43 B2 1299 1286 0.15      
44 B2 1244 1232 0.03      
45 B2 1228 1215 0.63      
46 B2 1143 1131 0.32      
47 B2 1054 1043 0.00      
48 B2 944 935 0.20      
49 B2 816 808 1.20      
50 B2 748 740 0.01      
51 B2 330 327 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 37799.2 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 37409.9 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(2df,p)
ABC
0.12259 0.10648 0.09202

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.391
C2 0.000 1.134 0.341
C3 0.000 -1.134 0.341
C4 1.255 0.783 -0.494
C5 -1.255 0.783 -0.494
C6 -1.255 -0.783 -0.494
C7 1.255 -0.783 -0.494
H8 -0.897 0.000 2.032
H9 0.897 0.000 2.032
H10 0.000 2.161 0.734
H11 0.000 -2.161 0.734
H12 2.167 1.180 -0.019
H13 -2.167 -1.180 -0.019
H14 2.167 -1.180 -0.019
H15 -2.167 1.180 -0.019
H16 1.205 -1.210 -1.509
H17 -1.205 1.210 -1.509
H18 1.205 1.210 -1.509
H19 -1.205 -1.210 -1.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.54481.54482.39602.39602.39602.39601.10281.10282.25912.25912.84152.84152.84152.84153.36543.36543.36543.3654
C21.54482.26751.54801.54802.43852.43852.22452.22451.10003.31852.19703.19033.19032.19703.22032.20982.20983.2203
C31.54482.26752.43852.43851.54801.54802.22452.22453.31851.10003.19032.19702.19703.19032.20983.22033.22032.2098
C42.39601.54802.43852.50982.95811.56563.40972.66882.23233.42801.10243.97322.21593.47732.23692.69551.10223.3248
C52.39601.54802.43852.50981.56562.95812.66883.40972.23233.42803.47732.21593.97321.10243.32481.10222.69552.2369
C62.39602.43851.54802.95811.56562.50982.66883.40973.42802.23233.97321.10243.47732.21592.69552.23693.32481.1022
C72.39602.43851.54801.56562.95812.50983.40972.66883.42802.23232.21593.47731.10243.97321.10223.32482.23692.6955
H81.10282.22452.22453.40972.66882.66883.40971.79452.67632.67633.87122.68513.87122.68514.29243.75474.29243.7547
H91.10282.22452.22452.66883.40973.40972.66881.79452.67632.67632.68513.87122.68513.87123.75474.29243.75474.2924
H102.25911.10003.31852.23232.23233.42803.42802.67632.67634.32292.49484.05304.05302.49484.22492.71812.71814.2249
H112.25913.31851.10003.42803.42802.23232.23232.67632.67634.32294.05302.49482.49484.05302.71814.22494.22492.7181
H122.84152.19703.19031.10243.47733.97322.21593.87122.68512.49484.05304.93452.36014.33352.97613.68691.77374.3937
H132.84153.19032.19703.97322.21591.10243.47732.68513.87124.05302.49484.93454.33352.36013.68692.97614.39371.7737
H142.84153.19032.19702.21593.97323.47731.10243.87122.68514.05302.49482.36014.33354.93451.77374.39372.97613.6869
H152.84152.19703.19033.47731.10242.21593.97322.68513.87122.49484.05304.33352.36014.93454.39371.77373.68692.9761
H163.36543.22032.20982.23693.32482.69551.10224.29243.75474.22492.71812.97613.68691.77374.39373.41592.42002.4109
H173.36542.20983.22032.69551.10222.23693.32483.75474.29242.71814.22493.68692.97614.39371.77373.41592.41092.4200
H183.36542.20983.22031.10222.69553.32482.23694.29243.75472.71814.22491.77374.39372.97613.68692.42002.41093.4159
H193.36543.22032.20983.32482.23691.10222.69553.75474.29244.22492.71814.39371.77373.68692.97612.41092.42003.4159

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.556 C1 C2 C5 101.556
C1 C2 H10 116.327 C1 C3 C6 101.556
C1 C3 C7 101.556 C1 C3 H11 116.327
C2 C1 C3 94.432 C2 C1 H8 113.262
C2 C1 H9 113.262 C2 C4 C7 103.102
C2 C4 H12 110.856 C2 C4 H18 111.892
C2 C5 C6 103.102 C2 C5 H15 110.856
C2 C5 H17 111.892 C3 C1 H8 113.262
C3 C1 H9 113.262 C3 C6 C5 103.102
C3 C6 H13 110.856 C3 C6 H19 111.892
C3 C7 C4 103.102 C3 C7 H14 110.856
C3 C7 H16 111.892 C4 C2 C5 108.320
C4 C2 H10 113.846 C4 C7 H14 111.120
C4 C7 H16 112.803 C5 C2 H10 113.846
C5 C6 H13 111.120 C5 C6 H19 112.803
C6 C3 C7 108.320 C6 C3 H11 113.846
C6 C5 H15 111.120 C6 C5 H17 112.803
C7 C3 H11 113.846 C7 C4 H12 111.120
C7 C4 H18 112.803 H8 C1 H9 108.897
H12 C4 H18 107.131 H13 C6 H19 107.131
H14 C7 H16 107.131 H15 C5 H17 107.131
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.230      
2 C -0.013      
3 C -0.013      
4 C -0.222      
5 C -0.222      
6 C -0.222      
7 C -0.222      
8 H 0.098      
9 H 0.098      
10 H 0.063      
11 H 0.063      
12 H 0.103      
13 H 0.103      
14 H 0.103      
15 H 0.103      
16 H 0.102      
17 H 0.102      
18 H 0.102      
19 H 0.102      


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 0.063 0.063
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.490 0.000 0.000
y 0.000 -44.879 0.000
z 0.000 0.000 -44.385
Traceless
 xyz
x 0.142 0.000 0.000
y 0.000 -0.441 0.000
z 0.000 0.000 0.299
Polar
3z2-r20.599
x2-y20.389
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.934 0.000 0.000
y 0.000 10.434 0.000
z 0.000 0.000 10.198


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