return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-231.901048
Energy at 298.15K-231.907302
HF Energy-231.901048
Nuclear repulsion energy213.759830
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/aug-cc-pVTZ
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 3174 3153 6.32      
2 A1 3137 3116 13.32      
3 A1 3116 3096 0.02      
4 A1 1567 1557 8.25      
5 A1 1369 1360 0.09      
6 A1 1165 1157 3.90      
7 A1 1080 1073 2.58      
8 A1 963 957 0.31      
9 A1 887 881 0.14      
10 A1 745 740 2.31      
11 A1 667 663 6.37      
12 A2 1078 1071 0.00      
13 A2 884 878 0.00      
14 A2 866 861 0.00      
15 A2 752 747 0.00      
16 A2 531 528 0.00      
17 B1 3115 3095 16.59      
18 B1 1078 1071 29.60      
19 B1 961 955 0.00      
20 B1 740 736 87.77      
21 B1 616 612 2.36      
22 B1 496 493 13.26      
23 B2 3150 3129 6.15      
24 B2 3120 3100 22.16      
25 B2 1293 1284 6.01      
26 B2 1224 1216 2.77      
27 B2 1169 1161 3.42      
28 B2 959 953 0.42      
29 B2 840 835 4.41      
30 B2 801 796 11.03      

Unscaled Zero Point Vibrational Energy (zpe) 20771.8 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 20636.7 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/aug-cc-pVTZ
ABC
0.24651 0.17542 0.12935

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.726 0.000 -1.011
C2 -0.726 0.000 -1.011
C3 0.000 1.076 -0.201
C4 0.000 -1.076 -0.201
C5 0.000 0.672 1.251
C6 0.000 -0.672 1.251
H7 1.485 0.000 -1.790
H8 -1.485 0.000 -1.790
H9 0.000 2.111 -0.542
H10 0.000 -2.111 -0.542
H11 0.000 1.354 2.097
H12 0.000 -1.354 2.097

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45111.53041.53042.46942.46941.08782.34372.28072.28073.46753.4675
C21.45111.53041.53042.46942.46942.34371.08782.28072.28073.46753.4675
C31.53041.53042.15271.50752.27252.42702.42701.08933.20532.31473.3446
C41.53041.53042.15272.27251.50752.42702.42703.20531.08933.34462.3147
C52.46942.46941.50752.27251.34333.45083.45082.29973.31051.08672.1951
C62.46942.46942.27251.50751.34333.45083.45083.31052.29972.19511.0867
H71.08782.34372.42702.42703.45083.45082.96992.86662.86664.37624.3762
H82.34371.08782.42702.42703.45083.45082.96992.86662.86664.37624.3762
H92.28072.28071.08933.20532.29973.31052.86662.86664.22142.74604.3556
H102.28072.28073.20531.08933.31052.29972.86662.86664.22144.35562.7460
H113.46753.46752.31473.34461.08672.19514.37624.37622.74604.35562.7077
H123.46753.46753.34462.31472.19511.08674.37624.37624.35562.74602.7077

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.700 C1 C2 C4 61.700
C1 C2 H8 134.273 C1 C3 C2 56.601
C1 C3 C5 108.753 C1 C3 H9 120.110
C1 C4 C2 56.601 C1 C4 C6 108.753
C1 C4 H10 120.110 C2 C1 C3 61.700
C2 C1 C4 61.700 C2 C1 H7 134.273
C2 C3 C5 108.753 C2 C3 H9 120.110
C2 C4 C6 108.753 C2 C4 H10 120.110
C3 C1 C4 89.384 C3 C1 H7 135.255
C3 C2 C4 89.384 C3 C2 H8 135.255
C3 C5 C6 105.571 C3 C5 H11 125.543
C4 C1 H7 135.255 C4 C2 H8 135.255
C4 C6 C5 105.571 C4 C6 H12 125.543
C5 C3 H9 123.851 C5 C6 H12 128.886
C6 C4 H10 123.851 C6 C5 H11 128.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.676      
2 C -0.676      
3 C -0.059      
4 C -0.059      
5 C -0.663      
6 C -0.663      
7 H 0.461      
8 H 0.461      
9 H 0.525      
10 H 0.525      
11 H 0.412      
12 H 0.412      


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 -0.983 0.983
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.959 0.000 0.000
y 0.000 -33.039 0.000
z 0.000 0.000 -33.834
Traceless
 xyz
x -4.522 0.000 0.000
y 0.000 2.857 0.000
z 0.000 0.000 1.665
Polar
3z2-r23.330
x2-y2-4.920
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.253 0.000 0.000
y 0.000 10.070 0.000
z 0.000 0.000 10.579


<r2> (average value of r2) Å2
<r2> 111.791
(<r2>)1/2 10.573