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 C6H8 ((E)-hexa-1,3,5-triene)

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 1Ag
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-232.121908
Energy at 298.15K-232.129134
Nuclear repulsion energy193.712877
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 Ag 3244 3130 0.00      
2 Ag 3161 3050 0.00      
3 Ag 3154 3043 0.00      
4 Ag 3144 3033 0.00      
5 Ag 1689 1630 0.00      
6 Ag 1652 1594 0.00      
7 Ag 1487 1435 0.00      
8 Ag 1379 1330 0.00      
9 Ag 1351 1304 0.00      
10 Ag 1240 1196 0.00      
11 Ag 973 938 0.00      
12 Ag 456 440 0.00      
13 Ag 364 351 0.00      
14 Au 1068 1031 74.25      
15 Au 983 949 31.83      
16 Au 949 915 83.21      
17 Au 717 692 13.64      
18 Au 252 244 2.14      
19 Au 100 97 0.45      
20 Bg 1039 1003 0.00      
21 Bg 957 924 0.00      
22 Bg 915 882 0.00      
23 Bg 619 597 0.00      
24 Bg 223 215 0.00      
25 Bu 3244 3130 28.05      
26 Bu 3163 3052 37.06      
27 Bu 3161 3050 14.46      
28 Bu 3144 3034 1.23      
29 Bu 1693 1633 14.57      
30 Bu 1518 1465 3.66      
31 Bu 1368 1320 3.35      
32 Bu 1336 1289 0.86      
33 Bu 1172 1131 9.48      
34 Bu 999 964 2.90      
35 Bu 566 547 4.67      
36 Bu 153 147 1.53      

Unscaled Zero Point Vibrational Energy (zpe) 26315.2 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 25391.5 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/3-21G
ABC
0.88727 0.04444 0.04232

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.675 0.000
C2 0.000 -0.675 0.000
C3 1.203 1.491 0.000
C4 -1.203 -1.491 0.000
C5 1.205 2.833 0.000
C6 -1.205 -2.833 0.000
H7 0.950 -1.206 0.000
H8 -0.950 1.206 0.000
H9 2.149 0.953 0.000
H10 -2.149 -0.953 0.000
H11 2.127 3.403 0.000
H12 -2.127 -3.403 0.000
H13 -0.281 -3.402 0.000
H14 0.281 3.402 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
C11.35061.45322.47782.47143.70942.10811.08882.16682.69623.45934.60004.08702.7411
C21.35062.47781.45323.70942.47141.08882.10812.69622.16684.60003.45932.74114.0870
C31.45322.47783.83121.34184.94922.70922.17181.08864.14802.12405.91965.11292.1218
C42.47781.45323.83124.94921.34182.17182.70924.14801.08865.91962.12402.12185.1129
C52.47143.70941.34184.94926.15724.04722.70052.10335.05801.08417.07076.40941.0859
C63.70942.47144.94921.34186.15722.70054.04725.05802.10337.07071.08411.08596.4094
H72.10811.08882.70922.17184.04722.70053.07172.46973.10984.75743.78142.51724.6568
H81.08882.10812.17182.70922.70054.04723.07173.10982.46973.78144.75744.65682.5172
H92.16682.69621.08864.14802.10335.05802.46973.10984.70152.45036.10434.98683.0803
H102.69622.16684.14801.08865.05802.10333.10982.46974.70156.10432.45033.08034.9868
H113.45934.60002.12405.91961.08417.07074.75743.78142.45036.10438.02687.21861.8468
H124.60003.45935.91962.12407.07071.08413.78144.75746.10432.45038.02681.84687.2186
H134.08702.74115.11292.12186.40941.08592.51724.65684.98683.08037.21861.84686.8271
H142.74114.08702.12185.11291.08596.40944.65682.51723.08034.98681.84687.21866.8271

picture of (E)-hexa-1,3,5-triene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.148 C1 C2 H7 119.195
C1 C3 C5 124.266 C1 C3 H9 116.230
C2 C1 C3 124.148 C2 C1 H8 119.195
C2 C4 C6 124.266 C2 C4 H10 116.230
C3 C1 H8 116.657 C3 C5 H11 121.861
C3 C5 H14 121.494 C4 C2 H7 116.657
C4 C6 H12 121.861 C4 C6 H13 121.494
C5 C3 H9 119.504 C6 C4 H10 119.504
H11 C5 H14 116.645 H12 C6 H13 116.645
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 C -0.182     -0.168
2 C -0.182     -0.206
3 C -0.187     -0.071
4 C -0.187     -0.047
5 C -0.374     -0.420
6 C -0.374     -0.429
7 H 0.183     0.177
8 H 0.183     0.171
9 H 0.186     0.140
10 H 0.186     0.133
11 H 0.189     0.177
12 H 0.189     0.178
13 H 0.185     0.183
14 H 0.185     0.181


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 -0.007 0.003 0.000 0.008


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.078 -0.129 0.000
y -0.129 -33.086 0.000
z 0.000 0.000 -41.940
Traceless
 xyz
x 4.434 -0.129 0.000
y -0.129 4.423 0.000
z 0.000 0.000 -8.858
Polar
3z2-r2-17.715
x2-y20.007
xy-0.129
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.231 4.379 0.000
y 4.379 20.621 0.000
z 0.000 0.000 2.438


<r2> (average value of r2) Å2
<r2> 257.035
(<r2>)1/2 16.032