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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-274.065535
Energy at 298.15K-274.080512
HF Energy-274.065535
Nuclear repulsion energy327.813433
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 B3LYPultrafine/aug-cc-pVTZ
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 3088 2988 91.52      
2 A1 3084 2984 9.47      
3 A1 3044 2945 12.29      
4 A1 3034 2935 49.11      
5 A1 1529 1479 0.33      
6 A1 1498 1449 6.05      
7 A1 1343 1300 1.42      
8 A1 1281 1239 0.75      
9 A1 1165 1127 0.93      
10 A1 997 964 0.05      
11 A1 926 896 1.11      
12 A1 879 850 1.10      
13 A1 819 793 0.14      
14 A1 759 734 0.73      
15 A1 402 389 0.00      
16 A2 3060 2961 0.00      
17 A2 3033 2934 0.00      
18 A2 1489 1441 0.00      
19 A2 1325 1282 0.00      
20 A2 1309 1266 0.00      
21 A2 1242 1202 0.00      
22 A2 1139 1102 0.00      
23 A2 964 933 0.00      
24 A2 955 924 0.00      
25 A2 548 530 0.00      
26 A2 161 156 0.00      
27 B1 3082 2982 63.29      
28 B1 3076 2976 6.83      
29 B1 3043 2944 91.39      
30 B1 1505 1456 5.45      
31 B1 1350 1306 0.02      
32 B1 1233 1193 2.21      
33 B1 1126 1090 0.11      
34 B1 1036 1003 0.41      
35 B1 957 925 0.29      
36 B1 890 861 0.95      
37 B1 804 777 0.31      
38 B1 451 436 0.00      
39 B2 3079 2979 94.57      
40 B2 3063 2964 11.88      
41 B2 3032 2934 52.28      
42 B2 1501 1452 2.24      
43 B2 1347 1303 1.61      
44 B2 1294 1252 0.16      
45 B2 1272 1231 0.90      
46 B2 1181 1143 0.29      
47 B2 1095 1060 0.16      
48 B2 960 929 0.36      
49 B2 818 792 1.83      
50 B2 762 737 0.08      
51 B2 334 324 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 38680.7 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 37423.6 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.12363 0.10722 0.09257

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.386
C2 0.000 1.131 0.338
C3 0.000 -1.131 0.338
C4 1.253 0.781 -0.492
C5 -1.253 0.781 -0.492
C6 -1.253 -0.781 -0.492
C7 1.253 -0.781 -0.492
H8 -0.887 0.000 2.021
H9 0.887 0.000 2.021
H10 0.000 2.147 0.728
H11 0.000 -2.147 0.728
H12 2.153 1.173 -0.018
H13 -2.153 -1.173 -0.018
H14 2.153 -1.173 -0.018
H15 -2.153 1.173 -0.018
H16 1.207 -1.202 -1.497
H17 -1.207 1.202 -1.497
H18 1.207 1.202 -1.497
H19 -1.207 -1.202 -1.497

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.54101.54102.38852.38852.38852.38851.09131.09132.24602.24602.82552.82552.82552.82553.34803.34803.34803.3480
C21.54102.26121.54331.54332.43172.43172.21262.21261.08883.30102.18323.17363.17362.18323.20402.19762.19763.2040
C31.54102.26122.43172.43171.54331.54332.21262.21263.30101.08883.17362.18322.18323.17362.19763.20403.20402.1976
C42.38851.54332.43172.50562.95251.56173.39182.65662.21923.41061.09083.95542.20323.46142.22352.69001.09043.3152
C52.38851.54332.43172.50561.56172.95252.65663.39182.21923.41063.46142.20323.95541.09083.31521.09042.69002.2235
C62.38852.43171.54332.95251.56172.50562.65663.39183.41062.21923.95541.09083.46142.20322.69002.22353.31521.0904
C72.38852.43171.54331.56172.95252.50563.39182.65663.41062.21922.20323.46141.09083.95541.09043.31522.22352.6900
H81.09132.21262.21263.39182.65662.65663.39181.77472.65912.65913.84442.67133.84442.67134.26653.73104.26653.7310
H91.09132.21262.21262.65663.39183.39182.65661.77472.65912.65912.67133.84442.67133.84443.73104.26653.73104.2665
H102.24601.08883.30102.21922.21923.41063.41062.65912.65914.29492.47844.02734.02732.47844.19812.70142.70144.1981
H112.24603.30101.08883.41063.41062.21922.21922.65912.65914.29494.02732.47842.47844.02732.70144.19814.19812.7014
H122.82552.18323.17361.09083.46143.95542.20323.84442.67132.47844.02734.90452.34624.30692.95383.67121.75614.3725
H132.82553.17362.18323.95542.20321.09083.46142.67133.84444.02732.47844.90454.30692.34623.67122.95384.37251.7561
H142.82553.17362.18322.20323.95543.46141.09083.84442.67134.02732.47842.34624.30694.90451.75614.37252.95383.6712
H152.82552.18323.17363.46141.09082.20323.95542.67133.84442.47844.02734.30692.34624.90454.37251.75613.67122.9538
H163.34803.20402.19762.22353.31522.69001.09044.26653.73104.19812.70142.95383.67121.75614.37253.40662.40432.4133
H173.34802.19763.20402.69001.09042.22353.31523.73104.26652.70144.19813.67122.95384.37251.75613.40662.41332.4043
H183.34802.19763.20401.09042.69003.31522.22354.26653.73102.70144.19811.75614.37252.95383.67122.40432.41333.4066
H193.34803.20402.19763.31522.22351.09042.69003.73104.26654.19812.70144.37251.75613.67122.95382.41332.40433.4066

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.505 C1 C2 C5 101.505
C1 C2 H10 116.256 C1 C3 C6 101.505
C1 C3 C7 101.505 C1 C3 H11 116.256
C2 C1 C3 94.393 C2 C1 H8 113.297
C2 C1 H9 113.297 C2 C4 C7 103.097
C2 C4 H12 110.784 C2 C4 H18 111.960
C2 C5 C6 103.097 C2 C5 H15 110.784
C2 C5 H17 111.960 C3 C1 H8 113.297
C3 C1 H9 113.297 C3 C6 C5 103.097
C3 C6 H13 110.784 C3 C6 H19 111.960
C3 C7 C4 103.097 C3 C7 H14 110.784
C3 C7 H16 111.960 C4 C2 C5 108.540
C4 C2 H10 113.828 C4 C7 H14 111.077
C4 C7 H16 112.728 C5 C2 H10 113.828
C5 C6 H13 111.077 C5 C6 H19 112.728
C6 C3 C7 108.540 C6 C3 H11 113.828
C6 C5 H15 111.077 C6 C5 H17 112.728
C7 C3 H11 113.828 C7 C4 H12 111.077
C7 C4 H18 112.728 H8 C1 H9 108.809
H12 C4 H18 107.248 H13 C6 H19 107.248
H14 C7 H16 107.248 H15 C5 H17 107.248
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.579      
2 C -0.030      
3 C -0.030      
4 C -0.449      
5 C -0.449      
6 C -0.449      
7 C -0.449      
8 H 0.188      
9 H 0.188      
10 H 0.352      
11 H 0.352      
12 H 0.174      
13 H 0.174      
14 H 0.174      
15 H 0.174      
16 H 0.164      
17 H 0.164      
18 H 0.164      
19 H 0.164      


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 0.096 0.096
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.677 0.000 0.000
y 0.000 -45.913 0.000
z 0.000 0.000 -45.437
Traceless
 xyz
x -0.003 0.000 0.000
y 0.000 -0.355 0.000
z 0.000 0.000 0.358
Polar
3z2-r20.716
x2-y20.235
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.973 0.000 0.000
y 0.000 11.679 0.000
z 0.000 0.000 11.221


<r2> (average value of r2) Å2
<r2> 179.521
(<r2>)1/2 13.399