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All results from a given calculation for C6H6 (Benzvalene)

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-230.785609
Energy at 298.15K-230.792098
HF Energy-230.785609
Nuclear repulsion energy212.971296
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 3316 3149 0.83      
2 A1 3305 3138 10.28      
3 A1 3264 3100 1.36      
4 A1 1641 1558 2.01      
5 A1 1374 1305 0.74      
6 A1 1185 1125 1.87      
7 A1 1144 1086 5.11      
8 A1 1015 964 0.51      
9 A1 921 874 1.07      
10 A1 818 777 13.24      
11 A1 736 698 0.41      
12 A2 1154 1096 0.00      
13 A2 970 921 0.00      
14 A2 950 902 0.00      
15 A2 778 739 0.00      
16 A2 545 518 0.00      
17 B1 3289 3123 5.17      
18 B1 1141 1083 32.51      
19 B1 1043 991 0.15      
20 B1 781 741 109.19      
21 B1 655 622 0.25      
22 B1 523 497 15.99      
23 B2 3279 3114 5.02      
24 B2 3264 3099 7.82      
25 B2 1358 1290 10.26      
26 B2 1288 1223 0.08      
27 B2 1209 1148 3.85      
28 B2 998 948 0.01      
29 B2 882 837 0.54      
30 B2 833 791 16.18      

Unscaled Zero Point Vibrational Energy (zpe) 21829.0 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 20728.8 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 mPW1PW91/3-21G*
ABC
0.24301 0.17423 0.12896

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 0.737 0.000 -1.019
C2 -0.737 0.000 -1.019
C3 0.000 1.085 -0.201
C4 0.000 -1.085 -0.201
C5 0.000 0.669 1.252
C6 0.000 -0.669 1.252
H7 1.522 0.000 -1.753
H8 -1.522 0.000 -1.753
H9 0.000 2.116 -0.525
H10 0.000 -2.116 -0.525
H11 0.000 1.347 2.090
H12 0.000 -1.347 2.090

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47381.54601.54602.47932.47931.07462.37522.29422.29423.46793.4679
C21.47381.54601.54602.47932.47932.37521.07462.29422.29423.46793.4679
C31.54601.54602.17031.51112.27732.42962.42961.08033.21712.30623.3412
C41.54601.54602.17032.27731.51112.42962.42963.21711.08033.34122.3062
C52.47932.47931.51112.27731.33743.43383.43382.29133.30291.07842.1828
C62.47932.47932.27731.51111.33743.43383.43383.30292.29132.18281.0784
H71.07462.37522.42962.42963.43383.43383.04432.88102.88104.34754.3475
H82.37521.07462.42962.42963.43383.43383.04432.88102.88104.34754.3475
H92.29422.29421.08033.21712.29133.30292.88102.88104.23132.72614.3390
H102.29422.29423.21711.08033.30292.29132.88102.88104.23134.33902.7261
H113.46793.46792.30623.34121.07842.18284.34754.34752.72614.33902.6931
H123.46793.46793.34122.30622.18281.07844.34754.34754.33902.72612.6931

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.534 C1 C2 C4 61.534
C1 C2 H8 136.948 C1 C3 C2 56.932
C1 C3 C5 108.382 C1 C3 H9 120.716
C1 C4 C2 56.932 C1 C4 C6 108.382
C1 C4 H10 120.716 C2 C1 C3 61.534
C2 C1 C4 61.534 C2 C1 H7 136.948
C2 C3 C5 108.382 C2 C3 H9 120.716
C2 C4 C6 108.382 C2 C4 H10 120.716
C3 C1 C4 89.159 C3 C1 H7 135.204
C3 C2 C4 89.159 C3 C2 H8 135.204
C3 C5 C6 105.998 C3 C5 H11 125.056
C4 C1 H7 135.204 C4 C2 H8 135.204
C4 C6 C5 105.998 C4 C6 H12 125.056
C5 C3 H9 123.455 C5 C6 H12 128.946
C6 C4 H10 123.455 C6 C5 H11 128.946
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.184      
2 C -0.184      
3 C -0.319      
4 C -0.319      
5 C -0.126      
6 C -0.126      
7 H 0.198      
8 H 0.198      
9 H 0.218      
10 H 0.218      
11 H 0.212      
12 H 0.212      


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 -37.580 0.000 0.000
y 0.000 -32.070 0.000
z 0.000 0.000 -32.358
Traceless
 xyz
x -5.366 0.000 0.000
y 0.000 2.898 0.000
z 0.000 0.000 2.467
Polar
3z2-r24.934
x2-y2-5.509
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.111 0.000 0.000
y 0.000 8.100 0.000
z 0.000 0.000 7.682


<r2> (average value of r2) Å2
<r2> 111.648
(<r2>)1/2 10.566