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All results from a given calculation for C8H6 (benzocyclobutadiene)

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-306.257898
Energy at 298.15K-306.263344
HF Energy-306.257898
Nuclear repulsion energy308.999115
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 3217 3068 10.24      
2 A1 3152 3005 7.93      
3 A1 3134 2988 10.34      
4 A1 1646 1569 2.12      
5 A1 1491 1422 0.79      
6 A1 1450 1383 0.00      
7 A1 1401 1336 14.26      
8 A1 1199 1143 0.00      
9 A1 1057 1008 0.89      
10 A1 1044 995 0.18      
11 A1 954 910 2.17      
12 A1 781 745 0.09      
13 A1 539 514 0.04      
14 A2 953 909 0.00      
15 A2 893 852 0.00      
16 A2 858 818 0.00      
17 A2 760 725 0.00      
18 A2 574 547 0.00      
19 A2 291 278 0.00      
20 B1 898 856 9.67      
21 B1 731 697 133.72      
22 B1 702 669 1.63      
23 B1 358 342 3.48      
24 B1 219 209 14.84      
25 B2 3184 3036 0.44      
26 B2 3145 2998 19.48      
27 B2 3120 2975 0.21      
28 B2 1594 1520 0.03      
29 B2 1434 1368 6.95      
30 B2 1295 1235 0.50      
31 B2 1220 1163 14.92      
32 B2 1077 1027 1.77      
33 B2 1035 987 1.80      
34 B2 844 804 0.00      
35 B2 654 623 0.51      
36 B2 392 374 4.44      

Unscaled Zero Point Vibrational Energy (zpe) 23648.3 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 22548.6 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
0.15824 0.07141 0.04920

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 1.455 -0.628
C2 0.000 0.692 -1.865
C3 0.000 -0.692 -1.865
C4 0.000 -1.455 -0.628
C5 0.000 -0.686 2.071
C6 0.000 0.686 2.071
C7 0.000 0.729 0.529
C8 0.000 -0.729 0.529
H9 0.000 2.547 -0.660
H10 0.000 1.236 -2.813
H11 0.000 -1.236 -2.813
H12 0.000 -2.547 -0.660
H13 0.000 -1.460 2.833
H14 0.000 1.460 2.833

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.45322.47722.90943.44452.80641.36582.47071.09302.19643.46624.00214.52503.4614
C21.45321.38332.47724.16973.93572.39372.78312.21261.09362.14823.45595.16734.7605
C32.47721.38331.45323.93574.16972.78312.39373.45592.14821.09362.21264.76055.1673
C42.90942.47721.45322.80643.44452.47071.36584.00213.46622.19641.09303.46144.5250
C53.44454.16973.93572.80641.37102.09231.54284.23155.24864.91523.30471.08672.2768
C62.80643.93574.16973.44451.37101.54282.09233.30474.91525.24864.23152.27681.0867
C71.36582.39372.78312.47072.09231.54281.45702.17253.38043.87663.48463.17812.4179
C82.47072.78312.39371.36581.54282.09231.45703.48463.87663.38042.17252.41793.1781
H91.09302.21263.45594.00214.23153.30472.17253.48462.52184.35325.09455.31573.6583
H102.19641.09362.14823.46625.24864.91523.38043.87662.52182.47154.35326.25725.6512
H113.46622.14821.09362.19644.91525.24863.87663.38044.35322.47152.52185.65126.2572
H124.00213.45592.21261.09303.30474.23153.48462.17255.09454.35322.52183.65835.3157
H134.52505.16734.76053.46141.08672.27683.17812.41795.31576.25725.65123.65832.9196
H143.46144.76055.16734.52502.27681.08672.41793.17813.65835.65126.25725.31572.9196

picture of benzocyclobutadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.673 C1 C2 H10 118.492
C1 C7 C6 149.475 C1 C7 N8 122.122
C2 C1 C7 116.205 C2 C1 H9 120.020
C2 C3 C4 121.673 C2 C3 H11 119.835
C3 C2 H10 119.835 C3 C4 N8 116.205
C3 C4 H12 120.020 C4 C3 H11 118.492
C4 N8 C5 149.475 C4 N8 C7 122.122
C5 C6 C7 91.596 C5 C6 H14 135.438
C5 N8 C7 88.404 C6 C5 N8 91.596
C6 C5 H13 135.438 C6 C7 N8 88.404
C7 C1 H9 123.775 C7 C6 H14 132.966
N8 C4 H12 123.775 N8 C5 H13 132.966
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 -0.292      
2 C -0.191      
3 C -0.191      
4 C -0.292      
5 C -0.153      
6 C -0.153      
7 C 0.051      
8 C 0.051      
9 H 0.195      
10 H 0.197      
11 H 0.197      
12 H 0.195      
13 H 0.193      
14 H 0.193      


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 0.510 0.510
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.723 0.000 0.000
y 0.000 -40.169 0.000
z 0.000 0.000 -38.856
Traceless
 xyz
x -12.211 0.000 0.000
y 0.000 5.121 0.000
z 0.000 0.000 7.090
Polar
3z2-r214.180
x2-y2-11.554
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.087 0.000 0.000
y 0.000 12.545 0.000
z 0.000 0.000 15.476


<r2> (average value of r2) Å2
<r2> 224.911
(<r2>)1/2 14.997