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All results from a given calculation for C6H6 (Benzvalene)

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-230.534442
Energy at 298.15K-230.540707
HF Energy-230.534442
Nuclear repulsion energy211.234550
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 3211 3182 0.69      
2 A1 3200 3171 16.56      
3 A1 3166 3137 0.62      
4 A1 1569 1555 1.96      
5 A1 1321 1309 0.54      
6 A1 1143 1133 1.68      
7 A1 1100 1090 4.81      
8 A1 979 970 0.39      
9 A1 879 871 0.95      
10 A1 777 770 12.17      
11 A1 700 694 0.86      
12 A2 1098 1088 0.00      
13 A2 909 900 0.00      
14 A2 890 882 0.00      
15 A2 732 725 0.00      
16 A2 522 517 0.00      
17 B1 3177 3148 9.85      
18 B1 1086 1076 32.90      
19 B1 986 977 0.58      
20 B1 738 731 92.89      
21 B1 610 605 0.00      
22 B1 502 497 15.97      
23 B2 3181 3152 7.44      
24 B2 3167 3138 8.48      
25 B2 1306 1294 9.27      
26 B2 1236 1225 0.05      
27 B2 1156 1146 4.27      
28 B2 960 951 0.00      
29 B2 851 844 0.58      
30 B2 802 794 15.05      

Unscaled Zero Point Vibrational Energy (zpe) 20976.6 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20785.8 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
0.23885 0.17159 0.12694

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 0.744 0.000 -1.027
C2 -0.744 0.000 -1.027
C3 0.000 1.094 -0.201
C4 0.000 -1.094 -0.201
C5 0.000 0.675 1.260
C6 0.000 -0.675 1.260
H7 1.534 0.000 -1.770
H8 -1.534 0.000 -1.770
H9 0.000 2.132 -0.532
H10 0.000 -2.132 -0.532
H11 0.000 1.359 2.107
H12 0.000 -1.359 2.107

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48711.55981.55982.49822.49821.08502.39602.31182.31183.49573.4957
C21.48711.55981.55982.49822.49822.39601.08502.31182.31183.49573.4957
C31.55981.55982.18841.51992.29472.45232.45231.08973.24342.32253.3677
C41.55981.55982.18842.29471.51992.45232.45233.24341.08973.36772.3225
C52.49822.49821.51992.29471.35063.46303.46302.30993.33101.08792.2032
C62.49822.49822.29471.51991.35063.46303.46303.33102.30992.20321.0879
H71.08502.39602.45232.45233.46303.46303.06882.90392.90394.38504.3850
H82.39601.08502.45232.45233.46303.46303.06882.90392.90394.38504.3850
H92.31182.31181.08973.24342.30993.33102.90392.90394.26452.74994.3763
H102.31182.31183.24341.08973.33102.30992.90392.90394.26454.37632.7499
H113.49573.49572.32253.36771.08792.20324.38504.38502.74994.37632.7177
H123.49573.49573.36772.32252.20321.08794.38504.38504.37632.74992.7177

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 136.794 C1 C3 C2 56.941
C1 C3 C5 108.416 C1 C3 H9 120.472
C1 C4 C2 56.941 C1 C4 C6 108.416
C1 C4 H10 120.472 C2 C1 C3 61.530
C2 C1 C4 61.530 C2 C1 H7 136.794
C2 C3 C5 108.416 C2 C3 H9 120.472
C2 C4 C6 108.416 C2 C4 H10 120.472
C3 C1 C4 89.095 C3 C1 H7 135.247
C3 C2 C4 89.095 C3 C2 H8 135.247
C3 C5 C6 105.998 C3 C5 H11 125.077
C4 C1 H7 135.247 C4 C2 H8 135.247
C4 C6 C5 105.998 C4 C6 H12 125.077
C5 C3 H9 123.707 C5 C6 H12 128.925
C6 C4 H10 123.707 C6 C5 H11 128.925
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 -0.163      
2 C -0.163      
3 C -0.291      
4 C -0.291      
5 C -0.104      
6 C -0.104      
7 H 0.175      
8 H 0.175      
9 H 0.196      
10 H 0.196      
11 H 0.186      
12 H 0.186      


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 -0.956 0.956
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.619 0.000 0.000
y 0.000 -32.249 0.000
z 0.000 0.000 -32.515
Traceless
 xyz
x -5.238 0.000 0.000
y 0.000 2.819 0.000
z 0.000 0.000 2.419
Polar
3z2-r24.838
x2-y2-5.371
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.253 0.000 0.000
y 0.000 8.271 0.000
z 0.000 0.000 8.063


<r2> (average value of r2) Å2
<r2> 113.193
(<r2>)1/2 10.639