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 (Fulvene)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-230.854367
Energy at 298.15K-230.860189
Nuclear repulsion energy200.349886
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 mPW1PW91/3-21G
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 3301 3151 5.31      
2 A1 3273 3124 1.87      
3 A1 3183 3039 3.61      
4 A1 1733 1654 4.11      
5 A1 1551 1480 27.15      
6 A1 1503 1435 0.34      
7 A1 1390 1327 28.87      
8 A1 1142 1090 2.50      
9 A1 991 946 5.11      
10 A1 913 871 9.99      
11 A1 696 665 0.02      
12 A2 978 934 0.00      
13 A2 801 765 0.00      
14 A2 713 680 0.00      
15 A2 507 484 0.00      
16 B1 996 951 59.94      
17 B1 964 920 3.86      
18 B1 801 765 75.15      
19 B1 639 610 43.90      
20 B1 205 195 6.24      
21 B2 3290 3141 8.32      
22 B2 3271 3122 3.81      
23 B2 3264 3116 2.21      
24 B2 1629 1555 0.34      
25 B2 1351 1290 0.05      
26 B2 1282 1224 0.18      
27 B2 1140 1088 11.12      
28 B2 986 941 1.58      
29 B2 833 795 1.05      
30 B2 353 337 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21839.1 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 20847.6 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 mPW1PW91/3-21G
ABC
0.27204 0.12673 0.08645

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.765
C2 0.000 0.000 2.103
C3 0.000 1.183 -0.127
C4 0.000 -1.183 -0.127
C5 0.000 0.742 -1.406
C6 0.000 -0.742 -1.406
H7 0.000 0.925 2.670
H8 0.000 -0.925 2.670
H9 0.000 2.204 0.220
H10 0.000 -2.204 0.220
H11 0.000 1.348 -2.299
H12 0.000 -1.348 -2.299

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.33861.48131.48132.29382.29382.11802.11802.27042.27043.34713.3471
C21.33862.52452.52453.58673.58671.08471.08472.89892.89894.60404.6040
C31.48132.52452.36571.35282.31082.80903.50231.07883.40482.17813.3353
C41.48132.52452.36572.31081.35283.50232.80903.40481.07883.33532.1781
C52.29383.58671.35282.31081.48364.08014.40352.18713.36501.07952.2730
C62.29383.58672.31081.35281.48364.40354.08013.36502.18712.27301.0795
H72.11801.08472.80903.50234.08014.40351.84972.76373.97394.98695.4642
H82.11801.08473.50232.80904.40354.08011.84973.97392.76375.46424.9869
H92.27042.89891.07883.40482.18713.36502.76373.97394.40842.66054.3552
H102.27042.89893.40481.07883.36502.18713.97392.76374.40844.35522.6605
H113.34714.60402.17813.33531.07952.27304.98695.46422.66054.35522.6969
H123.34714.60403.33532.17812.27301.07955.46424.98694.35522.66052.6969

picture of Fulvene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H7 121.503 C1 C2 H8 121.503
C1 C3 C5 107.983 C1 C3 H9 124.205
C1 C4 C6 107.983 C1 C4 H10 124.205
C2 C1 C3 127.011 C2 C1 C4 127.011
C3 C1 C4 105.978 C3 C5 C6 109.028
C3 C5 H11 126.779 C4 C6 C5 109.028
C4 C6 H12 126.779 C5 C3 H9 127.812
C5 C6 H12 124.193 C6 C4 H10 127.812
C6 C5 H11 124.193 H7 C2 H8 116.994
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.031      
2 C -0.427      
3 C -0.203      
4 C -0.203      
5 C -0.228      
6 C -0.228      
7 H 0.229      
8 H 0.229      
9 H 0.214      
10 H 0.214      
11 H 0.217      
12 H 0.217      


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 0.687 0.687
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.378 0.000 0.000
y 0.000 -31.486 0.000
z 0.000 0.000 -29.169
Traceless
 xyz
x -10.050 0.000 0.000
y 0.000 3.287 0.000
z 0.000 0.000 6.763
Polar
3z2-r213.526
x2-y2-8.891
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.360 0.000 0.000
y 0.000 8.170 0.000
z 0.000 0.000 13.352


<r2> (average value of r2) Å2
<r2> 138.365
(<r2>)1/2 11.763