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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: M06-2X/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 M06-2X/3-21G
 hartrees
Energy at 0K-230.733718
Energy at 298.15K-230.740254
HF Energy-230.733718
Nuclear repulsion energy212.755176
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 M06-2X/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 3316 3179 3.56      
2 A1 3291 3155 1.86      
3 A1 3254 3119 0.79      
4 A1 1643 1575 2.11      
5 A1 1377 1320 0.52      
6 A1 1186 1137 1.85      
7 A1 1146 1099 4.07      
8 A1 1013 971 0.64      
9 A1 922 884 1.12      
10 A1 824 790 12.21      
11 A1 741 710 0.67      
12 A2 1155 1108 0.00      
13 A2 995 954 0.00      
14 A2 955 916 0.00      
15 A2 797 764 0.00      
16 A2 545 522 0.00      
17 B1 3268 3134 1.27      
18 B1 1153 1106 28.75      
19 B1 1053 1010 0.08      
20 B1 796 763 107.11      
21 B1 674 646 0.42      
22 B1 522 501 14.66      
23 B2 3288 3152 0.43      
24 B2 3255 3120 6.40      
25 B2 1359 1303 10.25      
26 B2 1283 1230 0.03      
27 B2 1215 1164 3.00      
28 B2 996 955 0.04      
29 B2 878 842 0.49      
30 B2 832 797 14.75      

Unscaled Zero Point Vibrational Energy (zpe) 21865.1 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 20962.0 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 M06-2X/3-21G
ABC
0.24282 0.17358 0.12860

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.737 0.000 -1.020
C2 -0.737 0.000 -1.020
C3 0.000 1.086 -0.204
C4 0.000 -1.086 -0.204
C5 0.000 0.668 1.256
C6 0.000 -0.668 1.256
H7 1.523 0.000 -1.752
H8 -1.523 0.000 -1.752
H9 0.000 2.116 -0.527
H10 0.000 -2.116 -0.527
H11 0.000 1.348 2.092
H12 0.000 -1.348 2.092

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47491.54571.54572.48392.48391.07372.37622.29472.29473.47133.4713
C21.47491.54571.54572.48392.48392.37621.07372.29472.29473.47133.4713
C31.54571.54572.17151.51812.28172.42812.42811.08023.21842.31133.3459
C41.54571.54572.17152.28171.51812.42812.42813.21841.08023.34592.3113
C52.48392.48391.51812.28171.33623.43683.43682.29703.30641.07812.1826
C62.48392.48392.28171.51811.33623.43683.43683.30642.29702.18261.0781
H71.07372.37622.42812.42813.43683.43683.04682.88082.88084.34924.3492
H82.37621.07372.42812.42813.43683.43683.04682.88082.88084.34924.3492
H92.29472.29471.08023.21842.29703.30642.88082.88084.23272.73034.3431
H102.29472.29473.21841.08023.30642.29702.88082.88084.23274.34312.7303
H113.47133.47132.31133.34591.07812.18264.34924.34922.73034.34312.6953
H123.47133.47133.34592.31132.18261.07814.34924.34924.34312.73032.6953

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.505 C1 C2 C4 61.505
C1 C2 H8 137.057 C1 C3 C2 56.990
C1 C3 C5 108.335 C1 C3 H9 120.801
C1 C4 C2 56.990 C1 C4 C6 108.335
C1 C4 H10 120.801 C2 C1 C3 61.505
C2 C1 C4 61.505 C2 C1 H7 137.057
C2 C3 C5 108.335 C2 C3 H9 120.801
C2 C4 C6 108.335 C2 C4 H10 120.801
C3 C1 C4 89.244 C3 C1 H7 135.160
C3 C2 C4 89.244 C3 C2 H8 135.160
C3 C5 C6 105.968 C3 C5 H11 124.958
C4 C1 H7 135.160 C4 C2 H8 135.160
C4 C6 C5 105.968 C4 C6 H12 124.958
C5 C3 H9 123.390 C5 C6 H12 129.074
C6 C4 H10 123.390 C6 C5 H11 129.074
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
2 C -0.180      
3 C -0.305      
4 C -0.305      
5 C -0.119      
6 C -0.119      
7 H 0.193      
8 H 0.193      
9 H 0.209      
10 H 0.209      
11 H 0.202      
12 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 -0.939 0.939
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.796 0.000 0.000
y 0.000 -32.421 0.000
z 0.000 0.000 -32.733
Traceless
 xyz
x -5.219 0.000 0.000
y 0.000 2.843 0.000
z 0.000 0.000 2.375
Polar
3z2-r24.751
x2-y2-5.375
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.097 0.000 0.000
y 0.000 8.081 0.000
z 0.000 0.000 7.604


<r2> (average value of r2) Å2
<r2> 112.054
(<r2>)1/2 10.586