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All results from a given calculation for C6H8 (1,4-Cyclohexadiene)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1Ag
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-233.382429
Energy at 298.15K-233.391104
Nuclear repulsion energy218.679360
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 mPW1PW91/6-31G(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 Ag 3196 3051 0.00      
2 Ag 3011 2874 0.00      
3 Ag 1784 1704 0.00      
4 Ag 1466 1399 0.00      
5 Ag 1230 1174 0.00      
6 Ag 878 838 0.00      
7 Ag 539 514 0.00      
8 Au 1215 1160 0.00      
9 Au 1015 969 0.00      
10 Au 388 370 0.00      
11 B1g 3171 3027 0.00      
12 B1g 1413 1349 0.00      
13 B1g 1361 1300 0.00      
14 B1g 1055 1007 0.00      
15 B1g 577 551 0.00      
16 B1u 3028 2891 41.43      
17 B1u 995 950 20.09      
18 B1u 637 608 51.13      
19 B1u 125 120 0.78      
20 B2g 3029 2892 0.00      
21 B2g 1030 983 0.00      
22 B2g 971 927 0.00      
23 B2g 414 395 0.00      
24 B2u 3194 3049 69.58      
25 B2u 1739 1661 5.53      
26 B2u 1394 1331 0.01      
27 B2u 1174 1121 0.02      
28 B2u 963 920 0.03      
29 B3g 1222 1167 0.00      
30 B3g 735 702 0.00      
31 B3u 3171 3027 14.47      
32 B3u 3012 2876 85.69      
33 B3u 1469 1403 5.34      
34 B3u 1443 1377 0.13      
35 B3u 973 929 0.15      
36 B3u 911 870 12.47      

Unscaled Zero Point Vibrational Energy (zpe) 26962.6 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 25741.2 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 mPW1PW91/6-31G(2df,p)
ABC
0.17362 0.16444 0.08711

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.493 0.000 0.000
C2 -1.493 0.000 0.000
C3 -0.664 1.247 0.000
C4 0.664 1.247 0.000
C5 -0.664 -1.247 0.000
C6 0.664 -1.247 0.000
H7 1.203 -2.192 0.000
H8 -1.203 -2.192 0.000
H9 1.203 2.192 0.000
H10 -1.203 2.192 0.000
H11 2.169 0.000 0.869
H12 -2.169 0.000 0.869
H13 2.169 0.000 -0.869
H14 -2.169 0.000 -0.869

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
C12.98652.49211.49782.49211.49782.21073.47422.21073.47421.10023.76341.10023.7634
C22.98651.49782.49211.49782.49213.47422.21073.47422.21073.76341.10023.76341.1002
C32.49211.49781.32832.49482.82643.91293.48082.09191.08683.21482.13863.21482.1386
C41.49782.49211.32832.82642.49483.48083.91291.08682.09192.13863.21482.13863.2148
C52.49211.49782.49482.82641.32832.09191.08683.91293.48083.21482.13863.21482.1386
C61.49782.49212.82642.49481.32831.08682.09193.48083.91292.13863.21482.13863.2148
H72.21073.47423.91293.48082.09191.08682.40504.38304.99952.54764.11352.54764.1135
H83.47422.21073.48083.91291.08682.09192.40504.99954.38304.11352.54764.11352.5476
H92.21073.47422.09191.08683.91293.48084.38304.99952.40502.54764.11352.54764.1135
H103.47422.21071.08682.09193.48083.91294.99954.38302.40504.11352.54764.11352.5476
H111.10023.76343.21482.13863.21482.13862.54764.11352.54764.11354.33711.73714.6720
H123.76341.10022.13863.21482.13863.21484.11352.54764.11352.54764.33714.67201.7371
H131.10023.76343.21482.13863.21482.13862.54764.11352.54764.11351.73714.67204.3371
H143.76341.10022.13863.21482.13863.21484.11352.54764.11352.54764.67201.73714.3371

picture of 1,4-Cyclohexadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C3 123.610 C1 C4 H9 116.697
C1 C6 C5 123.610 C1 C6 H7 116.697
C2 C3 C4 123.610 C2 C3 H10 116.697
C2 C5 C6 123.610 C2 C5 H8 116.697
C3 C2 C5 112.781 C3 C2 H12 109.863
C3 C2 H14 109.863 C3 C4 H9 119.693
C4 C1 C6 112.781 C4 C1 H11 109.863
C4 C1 H13 109.863 C4 C3 H10 119.693
C5 C2 H12 109.863 C5 C2 H14 109.863
C5 C6 H7 119.693 C6 C1 H11 109.863
C6 C1 H13 109.863 C6 C5 H8 119.693
H11 C1 H13 104.267 H12 C2 H14 104.267
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.346      
2 C -0.346      
3 C -0.086      
4 C -0.086      
5 C -0.086      
6 C -0.086      
7 H 0.117      
8 H 0.117      
9 H 0.117      
10 H 0.117      
11 H 0.143      
12 H 0.143      
13 H 0.143      
14 H 0.143      


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 -32.787 0.000 0.000
y 0.000 -34.886 0.000
z 0.000 0.000 -38.172
Traceless
 xyz
x 3.742 0.000 0.000
y 0.000 0.593 0.000
z 0.000 0.000 -4.335
Polar
3z2-r2-8.671
x2-y22.099
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.907 0.000 0.000
y 0.000 8.853 0.000
z 0.000 0.000 5.498


<r2> (average value of r2) Å2
<r2> 143.549
(<r2>)1/2 11.981