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/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-234.307939
Energy at 298.15K-234.317241
Nuclear repulsion energy212.291377
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 A' 3100 3068 65.67      
2 A' 3094 3062 0.00      
3 A' 3079 3047 0.00      
4 A' 3077 3045 21.29      
5 A' 3065 3033 3.63      
6 A' 3060 3029 0.00      
7 A' 2959 2928 0.00      
8 A' 2958 2928 60.01      
9 A' 1665 1648 0.00      
10 A' 1626 1610 15.99      
11 A' 1440 1426 0.00      
12 A' 1435 1421 19.53      
13 A' 1421 1406 0.00      
14 A' 1367 1353 8.12      
15 A' 1352 1338 0.00      
16 A' 1322 1309 8.10      
17 A' 1264 1251 0.00      
18 A' 1225 1212 0.57      
19 A' 1141 1129 0.00      
20 A' 1052 1042 0.27      
21 A' 983 973 0.00      
22 A' 911 901 42.86      
23 A' 904 895 0.00      
24 A' 623 617 0.00      
25 A' 507 502 16.52      
26 A' 264 261 0.00      
27 A' 178 176 0.15      
28 A" 3007 2976 31.10      
29 A" 3007 2976 0.00      
30 A" 1426 1412 0.00      
31 A" 1426 1411 10.05      
32 A" 1012 1002 0.00      
33 A" 1011 1001 0.63      
34 A" 982 972 0.52      
35 A" 943 933 0.00      
36 A" 787 779 0.00      
37 A" 685 678 44.21      
38 A" 454 449 0.00      
39 A" 309 306 0.00      
40 A" 133 131 0.00      
41 A" 122 121 0.64      
42 A" 68 67 0.58      

Unscaled Zero Point Vibrational Energy (zpe) 30220.6 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 29909.3 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 PBEPBE/6-31G(2df,p)
ABC
0.38921 0.05155 0.04631

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -0.906 2.617 0.000
C2 -1.086 1.535 0.000
H3 0.981 1.214 0.000
C4 0.000 0.725 0.000
H5 -0.981 -1.214 0.000
C6 0.000 -0.725 0.000
H7 0.906 -2.617 0.000
C8 1.086 -1.535 0.000
H9 2.678 -0.045 0.000
H10 3.053 -1.546 0.883
H11 3.053 -1.546 -0.883
C12 2.530 -1.134 0.000
H13 -2.678 0.045 0.000
H14 -3.053 1.546 0.883
H15 -3.053 1.546 -0.883
C16 -2.530 1.134 0.000

Atom - Atom Distances (Å)
  H1 C2 H3 C4 H5 C6 H7 C8 H9 H10 H11 C12 H13 H14 H15 C16
H11.09692.35082.09763.83233.46315.53914.60534.46415.81205.81205.08733.12382.55672.55672.1995
C21.09692.09101.35442.75162.50774.60533.76064.08165.23425.23424.49452.18102.15612.15611.4991
H32.35082.09101.09583.12172.17343.83232.75162.11333.56253.56252.81383.84084.14204.14203.5117
C42.09761.35441.09582.17341.45063.46312.50772.78643.90593.90593.14012.76293.28193.28192.5630
H53.83232.75163.12172.17341.09582.35082.09103.84084.14204.14203.51172.11333.56253.56252.8138
C63.46312.50772.17341.45061.09582.09761.35442.76293.28193.28192.56302.78643.90593.90593.1401
H75.53914.60533.83233.46312.35082.09761.09693.12382.55672.55672.19954.46415.81205.81205.0873
C84.60533.76062.75162.50772.09101.35441.09692.18102.15612.15611.49914.08165.23435.23434.4945
H94.46414.08162.11332.78643.84082.76293.12382.18101.78131.78131.09965.35646.01236.01235.3398
H105.81205.23423.56253.90594.14203.28192.55672.15611.78131.76581.10536.01236.84347.06766.2554
H115.81205.23423.56253.90594.14203.28192.55672.15611.78131.76581.10536.01237.06766.84346.2554
C125.08734.49452.81383.14013.51172.56302.19951.49911.09961.10531.10535.33986.25546.25545.5456
H133.12382.18103.84082.76292.11332.78644.46414.08165.35646.01236.01235.33981.78131.78131.0996
H142.55672.15614.14203.28193.56253.90595.81205.23436.01236.84347.06766.25541.78131.76581.1053
H152.55672.15614.14203.28193.56253.90595.81205.23436.01237.06766.84346.25541.78131.76581.1053
C162.19951.49913.51172.56302.81383.14015.08734.49455.33986.25546.25545.54561.09961.10531.1053

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 117.286 H1 C2 C16 114.948
C2 C4 H3 116.770 C2 C4 C6 126.727
C2 C16 H13 113.226 C2 C16 H14 110.852
C2 C16 H15 110.852 H3 C4 C6 116.503
C4 C2 C16 127.766 C4 C6 H5 116.503
C4 C6 C8 126.727 H5 C6 C8 116.770
C6 C8 H7 117.286 C6 C8 C12 127.766
H7 C8 C12 114.948 C8 C12 H9 113.226
C8 C12 H10 110.852 C8 C12 H11 110.852
H9 C12 H10 107.781 H9 C12 H11 107.781
H10 C12 H11 106.024 H13 C16 H14 107.781
H13 C16 H15 107.781 H14 C16 H15 106.024
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 H 0.093      
2 C -0.054      
3 H 0.085      
4 C -0.071      
5 H 0.085      
6 C -0.071      
7 H 0.093      
8 C -0.054      
9 H 0.137      
10 H 0.140      
11 H 0.140      
12 C -0.471      
13 H 0.137      
14 H 0.140      
15 H 0.140      
16 C -0.471      


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 -34.296 -1.220 0.000
y -1.220 -35.610 0.000
z 0.000 0.000 -40.159
Traceless
 xyz
x 3.589 -1.220 0.000
y -1.220 1.617 0.000
z 0.000 0.000 -5.206
Polar
3z2-r2-10.412
x2-y21.314
xy-1.220
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.873 -4.434 0.000
y -4.434 12.550 0.000
z 0.000 0.000 6.011


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