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 C6H10 (1,3-Hexadiene, (Z)-)

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 CS 1A'
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-233.339493
Energy at 298.15K-233.349427
Nuclear repulsion energy216.044058
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
(Å4/u)
Dep P Dep U
1 A' 3248 3125 21.16      
2 A' 3223 3101 0.19      
3 A' 3154 3034 7.83      
4 A' 3141 3021 31.07      
5 A' 3115 2997 2.80      
6 A' 3113 2994 38.01      
7 A' 3056 2940 16.75      
8 A' 3010 2896 22.73      
9 A' 1714 1649 8.19      
10 A' 1668 1604 1.60      
11 A' 1575 1515 8.83      
12 A' 1533 1475 3.76      
13 A' 1519 1462 16.78      
14 A' 1465 1410 4.84      
15 A' 1457 1402 1.77      
16 A' 1413 1360 3.39      
17 A' 1371 1319 0.14      
18 A' 1356 1304 9.03      
19 A' 1197 1152 0.10      
20 A' 1102 1060 4.36      
21 A' 1058 1017 5.07      
22 A' 940 904 1.88      
23 A' 797 767 4.35      
24 A' 730 702 2.08      
25 A' 438 421 0.30      
26 A' 290 279 2.20      
27 A' 199 192 0.42      
28 A" 3131 3012 24.63      
29 A" 3025 2910 15.97      
30 A" 1575 1516 6.97      
31 A" 1353 1301 0.06      
32 A" 1141 1098 3.55      
33 A" 1062 1021 12.55      
34 A" 1017 979 1.08      
35 A" 954 918 60.72      
36 A" 851 819 1.15      
37 A" 783 753 4.37      
38 A" 638 614 35.20      
39 A" 391 376 0.03      
40 A" 311 299 0.02      
41 A" 118 113 0.26      
42 A" 61 59 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 31645.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 30443.3 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 B3LYP/3-21G*
ABC
0.22809 0.06744 0.05308

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.059 1.276 0.000
C2 -1.228 0.571 0.000
H3 0.040 2.210 0.000
C4 0.000 1.120 0.000
H5 1.373 -0.591 0.000
C6 1.319 0.490 0.000
H7 3.430 0.717 0.000
H8 2.453 2.284 0.000
C9 2.458 1.197 0.000
H10 -2.376 -0.982 0.875
H11 -2.376 -0.982 -0.875
C12 -1.718 -0.864 0.000
H13 -1.218 -2.974 0.000
H14 -0.056 -1.978 -0.891
H15 -0.056 -1.978 0.891
C16 -0.691 -2.014 0.000

Atom - Atom Distances (Å)
  H1 C2 H3 C4 H5 C6 H7 H8 C9 H10 H11 C12 H13 H14 H15 C16
H11.09052.29772.06513.90673.46855.51804.62304.51812.44242.44242.16704.33273.92353.92353.5629
C21.09052.07221.34502.84782.54794.66024.05943.73862.12042.12041.51613.54492.94302.94302.6395
H32.29772.07221.09033.10152.14333.70452.41372.62164.09784.09783.54115.33464.28254.28254.2862
C42.06511.34501.09032.19361.46193.45402.71462.45943.29113.29112.62464.27193.22423.22423.2090
H53.90672.84783.10152.19361.08212.43793.07072.09163.86933.86933.10273.52042.18162.18162.5063
C63.46852.54792.14331.46191.08212.12342.12191.34074.07274.07273.32524.29412.96242.96243.2105
H75.51804.66023.70453.45402.43792.12341.84711.08446.11276.11275.38555.93564.49564.49564.9434
H84.62304.05942.41372.71463.07072.12191.84711.08675.89475.89475.22526.41265.02495.02495.3243
C94.51813.73862.62162.45942.09161.34071.08441.08675.37445.37444.65715.56024.14684.14684.4971
H102.44242.12044.09783.29113.86934.07276.11275.89475.37441.75071.10142.46493.08112.52462.1612
H112.44242.12044.09783.29113.86934.07276.11275.89475.37441.75071.10142.46492.52463.08112.1612
C122.16701.51613.54112.62463.10273.32525.38555.22524.65711.10141.10142.16872.19012.19011.5418
H134.33273.54495.33464.27193.52044.29415.93566.41265.56022.46492.46492.16871.77101.77101.0960
H143.92352.94304.28253.22422.18162.96244.49565.02494.14683.08112.52462.19011.77101.78171.0943
H153.92352.94304.28253.22422.18162.96244.49565.02494.14682.52463.08112.19011.77101.78171.0943
C163.56292.63954.28623.20902.50633.21054.94345.32434.49712.16122.16121.54181.09601.09431.0943

picture of 1,3-Hexadiene, (Z)- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C2 C4 115.581 H1 C2 C12 111.428
C2 C4 H3 116.225 C2 C4 C6 130.346
C2 C12 H10 107.141 C2 C12 H11 107.141
C2 C12 C16 119.341 H3 C4 C6 113.429
C4 C2 C12 132.991 C4 C6 H5 118.373
C4 C6 C9 122.634 H5 C6 C9 118.993
C6 C9 H7 121.873 C6 C9 H8 121.537
H7 C9 H8 116.589 H10 C12 H11 105.263
H10 C12 C16 108.548 H11 C12 C16 108.548
C12 C16 H13 109.442 C12 C16 H14 111.226
C12 C16 H15 111.226 H13 C16 H14 107.919
H13 C16 H15 107.919 H14 C16 H15 108.995
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.181      
2 C -0.141      
3 H 0.179      
4 C -0.194      
5 H 0.196      
6 C -0.210      
7 H 0.185      
8 H 0.180      
9 C -0.372      
10 H 0.206      
11 H 0.206      
12 C -0.436      
13 H 0.190      
14 H 0.197      
15 H 0.197      
16 C -0.566      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.513 -0.434 0.000 0.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.514 0.285 0.000
y 0.285 -36.036 0.000
z 0.000 0.000 -41.441
Traceless
 xyz
x 3.224 0.285 0.000
y 0.285 2.441 0.000
z 0.000 0.000 -5.666
Polar
3z2-r2-11.332
x2-y20.522
xy0.285
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.187 2.577 0.000
y 2.577 9.509 0.000
z 0.000 0.000 4.500


<r2> (average value of r2) Å2
<r2> 219.161
(<r2>)1/2 14.804