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 (2,4-Hexadiene, (Z,Z)-)

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-233.013305
Energy at 298.15K-233.022720
Nuclear repulsion energy211.976681
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/3-21G
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' 3110 3082 61.03      
2 A' 3099 3071 0.00      
3 A' 3086 3058 0.00      
4 A' 3082 3054 22.34      
5 A' 3070 3042 1.48      
6 A' 3064 3036 0.00      
7 A' 2966 2939 0.00      
8 A' 2966 2939 49.34      
9 A' 1655 1640 0.00      
10 A' 1624 1609 8.56      
11 A' 1507 1493 0.00      
12 A' 1503 1489 26.28      
13 A' 1457 1444 0.00      
14 A' 1419 1406 20.19      
15 A' 1411 1398 0.00      
16 A' 1381 1369 2.08      
17 A' 1303 1291 0.00      
18 A' 1272 1260 2.01      
19 A' 1160 1149 0.00      
20 A' 1079 1069 4.77      
21 A' 1005 996 0.00      
22 A' 915 906 42.55      
23 A' 893 885 0.00      
24 A' 640 634 0.00      
25 A' 527 523 18.21      
26 A' 279 277 0.00      
27 A' 192 190 0.26      
28 A" 3010 2983 33.95      
29 A" 3010 2982 0.00      
30 A" 1504 1490 0.00      
31 A" 1504 1490 18.93      
32 A" 1054 1045 0.00      
33 A" 1054 1044 0.18      
34 A" 987 978 1.19      
35 A" 953 944 0.00      
36 A" 786 779 0.00      
37 A" 687 681 89.00      
38 A" 455 451 0.00      
39 A" 302 299 0.00      
40 A" 131 129 0.00      
41 A" 125 124 0.72      
42 A" 67 67 0.81      

Unscaled Zero Point Vibrational Energy (zpe) 30645.1 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 30366.2 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/3-21G
ABC
0.38147 0.05181 0.04642

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -0.938 2.617 0.000
C2 -1.095 1.530 0.000
H3 0.981 1.218 0.000
C4 0.000 0.729 0.000
H5 -0.981 -1.218 0.000
C6 0.000 -0.729 0.000
H7 0.938 -2.617 0.000
C8 1.095 -1.530 0.000
H9 2.651 0.001 0.000
H10 3.066 -1.494 0.890
H11 3.066 -1.494 -0.890
C12 2.542 -1.095 0.000
H13 -2.651 -0.001 0.000
H14 -3.066 1.494 0.890
H15 -3.066 1.494 -0.890
C16 -2.542 1.095 0.000

Atom - Atom Distances (Å)
  H1 C2 H3 C4 H5 C6 H7 C8 H9 H10 H11 C12 H13 H14 H15 C16
H11.09762.37432.10793.83503.47455.55924.61864.44095.80735.80735.08753.12832.56552.56552.2109
C21.09762.09971.35732.75092.51084.61863.76404.04665.22115.22114.48562.18282.16272.16271.5104
H32.37432.09971.09623.12802.18023.83502.75092.06663.53523.53522.79043.83104.15314.15313.5248
C42.10791.35731.09622.18021.45773.47452.51082.74913.89063.89063.12842.74953.28323.28322.5679
H53.83502.75093.12802.18021.09622.37432.09973.83104.15314.15313.52482.06663.53523.53522.7904
C63.47452.51082.18021.45771.09622.10791.35732.74953.28323.28322.56792.74913.89063.89063.1284
H75.55924.61863.83503.47452.37432.10791.09763.12832.56552.56552.21094.44095.80735.80735.0875
C84.61863.76402.75092.51082.09971.35731.09762.18282.16272.16271.51044.04665.22115.22114.4856
H94.44094.04662.06662.74913.83102.74953.12832.18281.78881.78881.10125.30195.97575.97575.3067
H105.80735.22113.53523.89064.15313.28322.56552.16271.78881.77961.10745.97576.82217.05036.2407
H115.80735.22113.53523.89064.15313.28322.56552.16271.78881.77961.10745.97577.05036.82216.2407
C125.08754.48562.79043.12843.52482.56792.21091.51041.10121.10741.10745.30676.24076.24075.5351
H133.12832.18283.83102.74952.06662.74914.44094.04665.30195.97575.97575.30671.78881.78881.1012
H142.56552.16274.15313.28323.53523.89065.80735.22115.97576.82217.05036.24071.78881.77961.1074
H152.56552.16274.15313.28323.53523.89065.80735.22115.97577.05036.82216.24071.78881.77961.1074
C162.21091.51043.52482.56792.79043.12845.08754.48565.30676.24076.24075.53511.10121.10741.1074

picture of 2,4-Hexadiene, (Z,Z)- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C2 C4 117.940 H1 C2 C16 115.009
C2 C4 H3 117.297 C2 C4 C6 126.195
C2 C16 H13 112.448 C2 C16 H14 110.465
C2 C16 H15 110.465 H3 C4 C6 116.508
C4 C2 C16 127.052 C4 C6 H5 116.508
C4 C6 C8 126.195 H5 C6 C8 117.297
C6 C8 H7 117.940 C6 C8 C12 127.052
H7 C8 C12 115.009 C8 C12 H9 112.448
C8 C12 H10 110.465 C8 C12 H11 110.465
H9 C12 H10 108.170 H9 C12 H11 108.170
H10 C12 H11 106.925 H13 C16 H14 108.170
H13 C16 H15 108.170 H14 C16 H15 106.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.193      
2 C -0.174      
3 H 0.192      
4 C -0.210      
5 H 0.192      
6 C -0.210      
7 H 0.193      
8 C -0.174      
9 H 0.215      
10 H 0.219      
11 H 0.219      
12 C -0.655      
13 H 0.215      
14 H 0.219      
15 H 0.219      
16 C -0.655      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.678 -1.213 0.000
y -1.213 -35.300 0.000
z 0.000 0.000 -41.423
Traceless
 xyz
x 4.683 -1.213 0.000
y -1.213 2.251 0.000
z 0.000 0.000 -6.934
Polar
3z2-r2-13.868
x2-y21.622
xy-1.213
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.775 -4.324 0.000
y -4.324 11.540 0.000
z 0.000 0.000 4.722


<r2> (average value of r2) Å2
<r2> 247.882
(<r2>)1/2 15.744