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All results from a given calculation for C6H8 ((Z)-hexa-1,3,5-triene)

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 C2V 1A1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-231.793282
Energy at 298.15K-231.800374
Nuclear repulsion energy195.432083
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 A1 3176 3148 24.71      
2 A1 3107 3079 26.17      
3 A1 3093 3065 2.69      
4 A1 3085 3057 1.83      
5 A1 1626 1611 0.02      
6 A1 1581 1567 0.00      
7 A1 1438 1425 0.18      
8 A1 1346 1334 4.45      
9 A1 1288 1276 0.67      
10 A1 1102 1092 2.07      
11 A1 883 875 0.13      
12 A1 398 394 0.00      
13 A1 166 164 0.02      
14 A2 1009 1000 0.00      
15 A2 950 942 0.00      
16 A2 899 891 0.00      
17 A2 715 708 0.00      
18 A2 318 315 0.00      
19 A2 156 155 0.00      
20 B1 1001 991 45.70      
21 B1 904 896 125.45      
22 B1 820 813 2.00      
23 B1 587 581 34.61      
24 B1 103 102 0.45      
25 B2 3176 3147 0.21      
26 B2 3093 3065 0.41      
27 B2 3085 3057 7.20      
28 B2 3072 3044 0.02      
29 B2 1630 1615 8.91      
30 B2 1483 1470 7.49      
31 B2 1390 1378 0.25      
32 B2 1307 1295 0.11      
33 B2 1205 1194 4.07      
34 B2 964 956 4.98      
35 B2 692 686 0.05      
36 B2 351 348 9.16      

Unscaled Zero Point Vibrational Energy (zpe) 25598.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 25365.8 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
0.49010 0.05197 0.04699

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.683 0.768
C2 0.000 -0.683 0.768
C3 0.000 1.548 -0.401
C4 0.000 -1.548 -0.401
C5 0.000 2.900 -0.328
C6 0.000 -2.900 -0.328
H7 0.000 1.199 1.737
H8 0.000 -1.199 1.737
H9 0.000 1.071 -1.388
H10 0.000 -1.071 -1.388
H11 0.000 3.416 0.638
H12 0.000 -3.416 0.638
H13 0.000 3.526 -1.223
H14 0.000 -3.526 -1.223

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
C11.36681.45452.51962.47253.74701.09732.11702.19032.77922.73614.10193.47094.6568
C21.36682.51961.45453.74702.47252.11701.09732.77922.19034.10192.73614.65683.4709
C31.45452.51963.09691.35334.44882.16633.48121.09622.79872.13775.07252.14185.1407
C42.51961.45453.09694.44881.35333.48122.16632.79871.09625.07252.13775.14072.1418
C52.47253.74701.35334.44885.79952.67494.58932.11414.10941.09556.38971.09306.4880
C63.74702.47254.44881.35335.79954.58932.67494.10942.11416.38971.09556.48801.0930
H71.09732.11702.16633.48122.67494.58932.39793.12713.86182.47474.74433.76545.5757
H82.11701.09733.48122.16634.58932.67492.39793.86183.12714.74432.47475.57573.7654
H92.19032.77921.09622.79872.11414.10943.12713.86182.14123.09974.92322.46104.5996
H102.77922.19032.79871.09624.10942.11413.86183.12712.14124.92323.09974.59962.4610
H112.73614.10192.13775.07251.09556.38972.47474.74433.09974.92326.83291.86507.1878
H124.10192.73615.07252.13776.38971.09554.74432.47474.92323.09976.83297.18781.8650
H133.47094.65682.14185.14071.09306.48803.76545.57572.46104.59961.86507.18787.0522
H144.65683.47095.14072.14186.48801.09305.57573.76544.59962.46107.18781.86507.0522

picture of (Z)-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 126.495 C1 C2 H8 118.022
C1 C3 C5 123.384 C1 C3 H9 117.661
C2 C1 C3 126.495 C2 C1 H7 118.022
C2 C4 C6 123.384 C2 C4 H10 117.661
C3 C1 H7 115.483 C3 C5 H11 121.251
C3 C5 H13 121.851 C4 C2 H8 115.483
C4 C6 H12 121.251 C4 C6 H14 121.851
C5 C3 H9 118.955 C6 C4 H10 118.955
H11 C5 H13 116.898 H12 C6 H14 116.898
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 C -0.198      
2 C -0.198      
3 C -0.207      
4 C -0.207      
5 C -0.392      
6 C -0.392      
7 H 0.197      
8 H 0.197      
9 H 0.200      
10 H 0.200      
11 H 0.197      
12 H 0.197      
13 H 0.202      
14 H 0.202      


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 -0.049 0.049
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.147 0.000 0.000
y 0.000 -32.533 0.000
z 0.000 0.000 -32.788
Traceless
 xyz
x -9.487 0.000 0.000
y 0.000 4.935 0.000
z 0.000 0.000 4.552
Polar
3z2-r29.104
x2-y2-9.614
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.512 0.000 0.000
y 0.000 21.475 0.000
z 0.000 0.000 8.132


<r2> (average value of r2) Å2
<r2> 235.024
(<r2>)1/2 15.331