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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B2PLYP=FULLultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-232.154291
Energy at 298.15K 
HF Energy-231.806269
Nuclear repulsion energy204.153067
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 B2PLYP=FULLultrafine/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 A1g 3218 3086 0.00      
2 A1g 1016 975 0.00      
3 A2g 1383 1327 0.00      
4 A2u 699 670 110.90      
5 B1u 3176 3046 0.00      
6 B1u 1031 989 0.00      
7 B2g 1009 968 0.00      
8 B2g 701 673 0.00      
9 B2u 1363 1307 0.00      
10 B2u 1172 1124 0.00      
11 E1g 875 839 0.00      
11 E1g 875 839 0.00      
12 E1u 3206 3075 31.39      
12 E1u 3206 3075 31.38      
13 E1u 1514 1452 6.33      
13 E1u 1514 1452 6.33      
14 E1u 1063 1020 4.94      
14 E1u 1063 1020 4.94      
15 E2g 3187 3057 0.00      
15 E2g 3187 3057 0.00      
16 E2g 1637 1570 0.00      
16 E2g 1637 1570 0.00      
17 E2g 1198 1149 0.00      
17 E2g 1198 1149 0.00      
18 E2g 618 593 0.00      
18 E2g 618 593 0.00      
19 E2u 992 951 0.00      
19 E2u 992 951 0.00      
20 E2u 408 391 0.00      
20 E2u 408 391 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 22083.5 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 21180.3 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
0.19145 0.19145 0.09573

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.390 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.390 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.470 0.000
H8 2.139 1.235 0.000
H9 2.139 -1.235 0.000
H10 0.000 -2.470 0.000
H11 -2.139 -1.235 0.000
H12 -2.139 1.235 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39042.40832.78092.40831.39041.08002.14513.38693.86083.38692.1451
C21.39041.39042.40832.78092.40832.14511.08002.14513.38693.86083.3869
C32.40831.39041.39042.40832.78093.38692.14511.08002.14513.38693.8608
C42.78092.40831.39041.39042.40833.86083.38692.14511.08002.14513.3869
C52.40832.78092.40831.39041.39043.38693.86083.38692.14511.08002.1451
C61.39042.40832.78092.40831.39042.14513.38693.86083.38692.14511.0800
H71.08002.14513.38693.86083.38692.14512.47044.27894.94084.27892.4704
H82.14511.08002.14513.38693.86083.38692.47042.47044.27894.94084.2789
H93.38692.14511.08002.14513.38693.86084.27892.47042.47044.27894.9408
H103.86083.38692.14511.08002.14513.38694.94084.27892.47042.47044.2789
H113.38693.86083.38692.14511.08002.14514.27894.94084.27892.47042.4704
H122.14513.38693.86083.38692.14511.08002.47044.27894.94084.27892.4704

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.413      
2 C -0.413      
3 C -0.413      
4 C -0.413      
5 C -0.413      
6 C -0.413      
7 H 0.413      
8 H 0.413      
9 H 0.413      
10 H 0.413      
11 H 0.413      
12 H 0.413      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.420 0.000 0.000
y 0.000 -32.420 0.000
z 0.000 0.000 -40.072
Traceless
 xyz
x 3.826 0.000 0.000
y 0.000 3.826 0.000
z 0.000 0.000 -7.652
Polar
3z2-r2-15.304
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.010 0.000 0.000
y 0.000 12.010 0.000
z 0.000 0.000 6.633


<r2> (average value of r2) Å2
<r2> 128.059
(<r2>)1/2 11.316