return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H12 ((E)-2-Hexene)

using model chemistry: B3LYP/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no CS 1A'
1 2 yes C1 1A

Conformer 1 (CS)

Jump to S1C2
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-235.850919
Energy at 298.15K 
HF Energy-235.850919
Nuclear repulsion energy224.779033
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/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 A' 3133 3009 67.81      
2 A' 3124 3000 4.07      
3 A' 3111 2988 41.63      
4 A' 3110 2987 6.18      
5 A' 3042 2921 36.74      
6 A' 3030 2910 38.65      
7 A' 3028 2908 40.65      
8 A' 3015 2895 11.16      
9 A' 1754 1684 1.03      
10 A' 1539 1478 2.73      
11 A' 1523 1462 1.76      
12 A' 1523 1462 5.79      
13 A' 1509 1449 0.41      
14 A' 1441 1384 2.01      
15 A' 1440 1383 2.06      
16 A' 1417 1361 0.04      
17 A' 1361 1307 1.90      
18 A' 1350 1297 1.89      
19 A' 1289 1238 14.76      
20 A' 1170 1123 1.01      
21 A' 1096 1053 1.01      
22 A' 1090 1047 7.40      
23 A' 1047 1005 0.62      
24 A' 932 895 3.30      
25 A' 909 873 2.70      
26 A' 517 497 0.21      
27 A' 387 371 1.16      
28 A' 311 298 0.57      
29 A' 137 132 0.03      
30 A" 3106 2983 62.28      
31 A" 3073 2951 30.08      
32 A" 3065 2943 33.59      
33 A" 3036 2916 6.51      
34 A" 1529 1468 5.91      
35 A" 1509 1449 5.07      
36 A" 1344 1291 0.01      
37 A" 1275 1225 0.02      
38 A" 1129 1085 0.03      
39 A" 1080 1037 0.09      
40 A" 1008 968 23.80      
41 A" 896 860 0.18      
42 A" 778 747 1.69      
43 A" 712 684 1.51      
44 A" 262 251 2.23      
45 A" 238 229 0.06      
46 A" 200 192 1.21      
47 A" 93 89 0.05      
48 A" 110i 105i 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 36277.7 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 34837.5 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/6-31G*
ABC
0.58645 0.03870 0.03730

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.633 3.201 0.000
C2 0.924 1.726 0.000
C3 0.000 0.762 0.000
C4 0.280 -0.728 0.000
C5 -0.996 -1.580 0.000
C6 -0.717 -3.086 0.000
H7 -0.445 3.395 0.000
H8 1.066 3.695 0.880
H9 1.066 3.695 -0.880
H10 1.980 1.446 0.000
H11 -1.053 1.054 0.000
H12 0.889 -0.995 0.877
H13 0.889 -0.995 -0.877
H14 -1.603 -1.319 -0.878
H15 -1.603 -1.319 0.878
H16 -1.647 -3.666 0.000
H17 -0.140 -3.382 -0.885
H18 -0.140 -3.382 0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.50302.51953.94445.05136.43031.09551.09881.09882.21212.72984.29404.29405.11835.11837.23536.68706.6870
C21.50301.33532.53713.82385.08452.15832.16132.16131.09262.08802.85922.85924.05324.05325.97375.29255.2925
C32.51951.33531.51612.54573.91462.67013.24253.24252.09461.09252.15542.15542.76972.76974.72444.24004.2400
C43.94442.53711.51611.53522.56064.18604.57764.57762.75942.22511.10021.10022.16052.16053.51392.82932.8293
C55.05133.82382.54571.53521.53155.00575.73245.73244.24472.63482.16002.16001.09911.09912.18462.18242.1824
C66.43035.08453.91462.56061.53156.48677.06687.06685.27394.15362.77862.77862.16352.16351.09611.09701.0970
H71.09552.15832.67014.18605.00576.48671.77501.77503.11112.41864.67104.67104.93254.93257.16226.84136.8413
H81.09882.16133.24254.57765.73247.06681.77501.76102.58213.49894.69335.01155.94615.68007.89437.39307.1792
H91.09882.16133.24254.57765.73247.06681.77501.76102.58213.49895.01154.69335.68005.94617.89437.17927.3930
H102.21211.09262.09462.75944.24475.27393.11112.58212.58213.05802.81382.81384.61004.61006.26795.34675.3467
H112.72982.08801.09252.22512.63484.15362.41863.49893.49893.05802.95562.95562.58892.58894.75684.61454.6145
H124.29402.85922.15541.10022.16002.77864.67104.69335.01152.81382.95561.75363.06502.51273.78603.14012.5994
H134.29402.85922.15541.10022.16002.77864.67105.01154.69332.81382.95561.75362.51273.06503.78602.59943.1401
H145.11834.05322.76972.16051.09912.16354.93255.94615.68004.61002.58893.06502.51271.75662.50642.52963.0834
H155.11834.05322.76972.16051.09912.16354.93255.68005.94614.61002.58892.51273.06501.75662.50643.08342.5296
H167.23535.97374.72443.51392.18461.09617.16227.89437.89436.26794.75683.78603.78602.50642.50641.77081.7708
H176.68705.29254.24002.82932.18241.09706.84137.39307.17925.34674.61453.14012.59942.52963.08341.77081.7696
H186.68705.29254.24002.82932.18241.09706.84137.17927.39305.34674.61452.59943.14013.08342.52961.77081.7696

picture of (E)-2-Hexene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 125.066 C1 C2 H10 116.021
C2 C1 H7 111.358 C2 C1 H8 111.398
C2 C1 H9 111.398 C2 C3 C4 125.571
C2 C3 H11 118.294 C3 C2 H10 118.913
C3 C4 C5 113.082 C3 C4 H12 109.930
C3 C4 H13 109.930 C4 C3 H11 116.135
C4 C5 C6 113.224 C4 C5 H14 109.072
C4 C5 H15 109.072 C5 C4 H12 108.971
C5 C4 H13 108.971 C5 C6 H16 111.411
C5 C6 H17 111.174 C5 C6 H18 111.174
C6 C5 H14 109.563 C6 C5 H15 109.563
H7 C1 H8 107.977 H7 C1 H9 107.977
H8 C1 H9 106.516 H12 C4 H13 105.683
H14 C5 H15 106.098 H16 C6 H17 107.689
H16 C6 H18 107.689 H17 C6 H18 107.516
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.485      
2 C -0.090      
3 C -0.104      
4 C -0.283      
5 C -0.260      
6 C -0.443      
7 H 0.149      
8 H 0.152      
9 H 0.152      
10 H 0.114      
11 H 0.114      
12 H 0.144      
13 H 0.144      
14 H 0.135      
15 H 0.135      
16 H 0.143      
17 H 0.142      
18 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.047 -0.027 0.000 0.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.585 0.333 0.000
y 0.333 -38.845 0.000
z 0.000 0.000 -40.498
Traceless
 xyz
x 1.087 0.333 0.000
y 0.333 0.696 0.000
z 0.000 0.000 -1.783
Polar
3z2-r2-3.565
x2-y20.260
xy0.333
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.314 1.579 0.000
y 1.579 12.702 0.000
z 0.000 0.000 7.072


<r2> (average value of r2) Å2
<r2> 306.715
(<r2>)1/2 17.513

Conformer 2 (C1)

Jump to S1C1
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-235.854339
Energy at 298.15K-235.866520
HF Energy-235.854339
Nuclear repulsion energy225.797400
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/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 A 3136 3011 62.37      
2 A 3123 2999 19.58      
3 A 3112 2988 9.80      
4 A 3112 2988 38.00      
5 A 3107 2983 60.37      
6 A 3074 2952 29.45      
7 A 3072 2950 22.18      
8 A 3052 2931 13.33      
9 A 3041 2921 34.57      
10 A 3033 2912 28.04      
11 A 3029 2909 40.24      
12 A 3006 2886 29.69      
13 A 1759 1689 0.47      
14 A 1540 1479 3.56      
15 A 1529 1469 5.09      
16 A 1524 1463 5.05      
17 A 1523 1462 3.09      
18 A 1510 1450 4.67      
19 A 1508 1448 2.18      
20 A 1443 1385 1.40      
21 A 1441 1384 1.26      
22 A 1407 1351 1.17      
23 A 1363 1309 0.79      
24 A 1351 1298 0.47      
25 A 1333 1280 0.10      
26 A 1308 1257 10.37      
27 A 1269 1218 0.55      
28 A 1190 1143 0.04      
29 A 1123 1079 0.66      
30 A 1097 1054 0.85      
31 A 1079 1036 0.24      
32 A 1063 1021 7.74      
33 A 1039 997 2.42      
34 A 1014 974 24.07      
35 A 935 898 4.21      
36 A 906 870 2.22      
37 A 881 846 0.40      
38 A 782 751 0.60      
39 A 752 722 2.25      
40 A 533 511 0.15      
41 A 387 371 1.09      
42 A 311 299 0.72      
43 A 285 273 1.24      
44 A 247 238 0.05      
45 A 210 202 0.68      
46 A 143 138 0.26      
47 A 97 93 0.04      
48 A 77 74 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 36425.6 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 34979.5 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/6-31G*
ABC
0.49752 0.03991 0.03943

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 3.192 0.219 -0.158
C2 1.807 -0.362 -0.225
C3 0.745 0.096 0.443
C4 -0.644 -0.478 0.371
C5 -1.686 0.522 -0.166
C6 -3.106 -0.051 -0.193
H7 3.232 1.086 0.510
H8 3.919 -0.522 0.203
H9 3.539 0.539 -1.150
H10 1.683 -1.231 -0.874
H11 0.868 0.967 1.091
H12 -0.961 -0.804 1.374
H13 -0.642 -1.377 -0.260
H14 -1.391 0.837 -1.176
H15 -1.668 1.430 0.454
H16 -3.825 0.681 -0.580
H17 -3.162 -0.942 -0.831
H18 -3.435 -0.343 0.812

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.50242.52243.93414.88736.30381.09551.09871.09872.21142.74264.54284.15334.73455.04557.04466.49406.7211
C21.50241.33572.52553.60434.92372.16002.16012.16001.09222.09313.22732.65143.54543.96855.73935.04015.3443
C32.52241.33571.50462.54213.90602.67813.24223.24652.09171.09302.14172.14172.78002.75704.71934.23864.2194
C43.93412.52551.50461.54082.56174.18234.56614.56552.74452.21201.10171.09862.16252.16673.51622.82852.8291
C54.88733.60432.54211.54081.53174.99675.71325.31713.86362.88112.15792.17011.09801.09912.18432.18302.1829
C66.30384.92373.90602.56171.53176.47817.05196.73964.97924.29872.76142.79982.16712.16351.09601.09711.0971
H71.09552.16002.67814.18234.99676.47811.77441.77463.11192.43804.67994.65484.92714.91277.15276.84126.8259
H81.09872.16013.24224.56615.71327.05191.77441.76082.58133.50905.02604.66295.65125.92297.87567.16857.3813
H91.09872.16003.24654.56555.31716.73961.77461.76082.57933.51325.33144.68404.93885.52077.38766.87037.2985
H102.21141.09222.09172.74453.86364.97923.11192.58132.57933.05933.49682.40873.71674.48025.83784.85415.4614
H112.74262.09311.09302.21202.88114.29872.43803.50903.51323.05932.56143.09853.20252.65514.98974.85604.5070
H124.54283.22732.14171.10172.15792.76144.67995.02605.33143.49682.56141.76113.06222.51723.77143.11892.5789
H134.15332.65142.14171.09862.17012.79984.65484.66294.68402.40873.09851.76112.51033.07313.80432.62113.1660
H144.73453.54542.78002.16251.09802.16714.92715.65124.93883.71673.20253.06222.51031.75602.51122.53393.0859
H155.04553.96852.75702.16671.09912.16354.91275.92295.52074.48022.65512.51723.07311.75602.50673.08382.5293
H167.04465.73934.71933.51622.18431.09607.15277.87567.38765.83784.98973.77143.80432.51122.50671.77051.7709
H176.49405.04014.23862.82852.18301.09716.84127.16856.87034.85414.85603.11892.62112.53393.08381.77051.7695
H186.72115.34434.21942.82912.18291.09716.82597.38137.29855.46144.50702.57893.16603.08592.52931.77091.7695

picture of (E)-2-Hexene state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 125.336 C1 C2 H10 116.030
C2 C1 H7 111.540 C2 C1 H8 111.342
C2 C1 H9 111.337 C2 C3 C4 125.433
C2 C3 H11 118.701 C3 C2 H10 118.634
C3 C4 C5 113.171 C3 C4 H12 109.558
C3 C4 H13 109.730 C4 C3 H11 115.861
C4 C5 C6 112.969 C4 C5 H14 108.910
C4 C5 H15 109.170 C5 C4 H12 108.347
C5 C4 H13 109.462 C5 C6 H16 111.382
C5 C6 H17 111.204 C5 C6 H18 111.199
C6 C5 H14 109.896 C6 C5 H15 109.547
H7 C1 H8 107.937 H7 C1 H9 107.953
H8 C1 H9 106.508 H12 C4 H13 106.335
H14 C5 H15 106.114 H16 C6 H17 107.669
H16 C6 H18 107.700 H17 C6 H18 107.499
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.486      
2 C -0.093      
3 C -0.086      
4 C -0.294      
5 C -0.246      
6 C -0.442      
7 H 0.150      
8 H 0.153      
9 H 0.153      
10 H 0.115      
11 H 0.112      
12 H 0.136      
13 H 0.133      
14 H 0.138      
15 H 0.131      
16 H 0.143      
17 H 0.142      
18 H 0.141      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.025 0.036 -0.043 0.061
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.770 -0.041 -0.621
y -0.041 -39.575 1.122
z -0.621 1.122 -39.628
Traceless
 xyz
x 0.831 -0.041 -0.621
y -0.041 -0.376 1.122
z -0.621 1.122 -0.455
Polar
3z2-r2-0.911
x2-y20.805
xy-0.041
xz-0.621
yz1.122


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.184 -0.206 -0.956
y -0.206 8.147 0.718
z -0.956 0.718 7.987


<r2> (average value of r2) Å2
<r2> 297.201
(<r2>)1/2 17.240