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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G*
 hartrees
Energy at 0K-230.579115
Energy at 298.15K-230.585607
HF Energy-230.579115
Nuclear repulsion energy213.018480
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 HSEh1PBE/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 3311 3179 0.88      
2 A1 3300 3168 10.02      
3 A1 3259 3129 1.32      
4 A1 1641 1575 1.85      
5 A1 1375 1320 0.79      
6 A1 1186 1139 2.04      
7 A1 1143 1097 4.93      
8 A1 1015 974 0.55      
9 A1 923 886 1.01      
10 A1 818 785 13.35      
11 A1 738 708 0.50      
12 A2 1153 1107 0.00      
13 A2 967 928 0.00      
14 A2 948 910 0.00      
15 A2 783 751 0.00      
16 A2 546 524 0.00      
17 B1 3284 3153 5.12      
18 B1 1140 1094 32.61      
19 B1 1042 1000 0.15      
20 B1 781 750 107.71      
21 B1 657 630 0.06      
22 B1 523 502 16.22      
23 B2 3274 3143 4.62      
24 B2 3259 3128 7.74      
25 B2 1356 1302 10.37      
26 B2 1287 1235 0.08      
27 B2 1210 1161 4.01      
28 B2 999 959 0.02      
29 B2 882 846 0.59      
30 B2 834 800 16.16      

Unscaled Zero Point Vibrational Energy (zpe) 21816.9 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 20942.0 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 HSEh1PBE/3-21G*
ABC
0.24312 0.17433 0.12903

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.736 0.000 -1.019
C2 -0.736 0.000 -1.019
C3 0.000 1.085 -0.201
C4 0.000 -1.085 -0.201
C5 0.000 0.669 1.251
C6 0.000 -0.669 1.251
H7 1.523 0.000 -1.752
H8 -1.523 0.000 -1.752
H9 0.000 2.116 -0.526
H10 0.000 -2.116 -0.526
H11 0.000 1.347 2.091
H12 0.000 -1.347 2.091

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47301.54501.54502.47832.47831.07552.37562.29392.29393.46783.4678
C21.47301.54501.54502.47832.47832.37561.07552.29392.29393.46783.4678
C31.54501.54502.16901.51072.27672.42942.42941.08123.21682.30683.3416
C41.54501.54502.16902.27671.51072.42942.42943.21681.08123.34162.3068
C52.47832.47831.51072.27671.33763.43343.43342.29173.30341.07942.1840
C62.47832.47832.27671.51071.33763.43343.43343.30342.29172.18401.0794
H71.07552.37562.42942.42943.43343.43343.04592.88102.88104.34784.3478
H82.37561.07552.42942.42943.43343.43343.04592.88102.88104.34784.3478
H92.29392.29391.08123.21682.29173.30342.88102.88104.23162.72704.3405
H102.29392.29393.21681.08123.30342.29172.88102.88104.23164.34052.7270
H113.46783.46782.30683.34161.07942.18404.34784.34782.72704.34052.6948
H123.46783.46783.34162.30682.18401.07944.34784.34784.34052.72702.6948

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.530 C1 C2 C4 61.530
C1 C2 H8 136.989 C1 C3 C2 56.940
C1 C3 C5 108.395 C1 C3 H9 120.704
C1 C4 C2 56.940 C1 C4 C6 108.395
C1 C4 H10 120.704 C2 C1 C3 61.530
C2 C1 C4 61.530 C2 C1 H7 136.989
C2 C3 C5 108.395 C2 C3 H9 120.704
C2 C4 C6 108.395 C2 C4 H10 120.704
C3 C1 C4 89.169 C3 C1 H7 135.197
C3 C2 C4 89.169 C3 C2 H8 135.197
C3 C5 C6 105.973 C3 C5 H11 125.072
C4 C1 H7 135.197 C4 C2 H8 135.197
C4 C6 C5 105.973 C4 C6 H12 125.072
C5 C3 H9 123.452 C5 C6 H12 128.955
C6 C4 H10 123.452 C6 C5 H11 128.955
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.182      
2 C -0.182      
3 C -0.317      
4 C -0.317      
5 C -0.122      
6 C -0.122      
7 H 0.196      
8 H 0.196      
9 H 0.216      
10 H 0.216      
11 H 0.209      
12 H 0.209      


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 -0.968 0.968
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.615 0.000 0.000
y 0.000 -32.143 0.000
z 0.000 0.000 -32.432
Traceless
 xyz
x -5.328 0.000 0.000
y 0.000 2.880 0.000
z 0.000 0.000 2.447
Polar
3z2-r24.894
x2-y2-5.472
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.112 0.000 0.000
y 0.000 8.100 0.000
z 0.000 0.000 7.690


<r2> (average value of r2) Å2
<r2> 111.650
(<r2>)1/2 10.566