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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B1B95/cc-pVDZ
 hartrees
Energy at 0K-232.150499
Energy at 298.15K-232.156844
HF Energy-232.150499
Nuclear repulsion energy203.739802
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 B1B95/cc-pVDZ
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 3237 3111 0.00 415.32 0.10 0.19
2 A1g 1037 997 0.00 56.35 0.09 0.17
3 A2g 1362 1309 0.00 0.00 0.75 0.86
4 A2u 692 665 82.20 0.00 0.00 0.00
5 B1u 3199 3074 0.00 0.00 0.00 0.00
6 B1u 1006 967 0.00 0.00 0.00 0.00
7 B2g 1028 988 0.00 0.00 0.75 0.86
8 B2g 725 697 0.00 0.00 0.75 0.86
9 B2u 1395 1341 0.00 0.00 0.00 0.00
10 B2u 1162 1117 0.00 0.00 0.00 0.00
11 E1g 871 837 0.00 3.63 0.75 0.86
11 E1g 871 837 0.00 3.65 0.75 0.86
12 E1u 3226 3101 33.84 0.00 0.00 0.00
12 E1u 3226 3101 33.82 0.00 0.00 0.00
13 E1u 1520 1461 7.25 0.00 0.00 0.00
13 E1u 1520 1461 7.30 0.00 0.00 0.00
14 E1u 1074 1033 5.19 0.00 0.00 0.00
14 E1u 1074 1033 5.17 0.00 0.00 0.00
15 E2g 3209 3085 0.00 144.10 0.75 0.86
15 E2g 3209 3085 0.00 144.10 0.75 0.86
16 E2g 1681 1616 0.00 9.25 0.75 0.86
16 E2g 1681 1616 0.00 9.25 0.75 0.86
17 E2g 1191 1145 0.00 9.16 0.75 0.86
17 E2g 1191 1145 0.00 9.16 0.75 0.86
18 E2g 610 586 0.00 3.74 0.75 0.86
18 E2g 610 586 0.00 3.74 0.75 0.86
19 E2u 995 957 0.00 0.00 0.00 0.00
19 E2u 995 957 0.00 0.00 0.00 0.00
20 E2u 411 395 0.00 0.00 0.00 0.00
20 E2u 411 395 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22209.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 21347.5 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 B1B95/cc-pVDZ
ABC
0.19086 0.19086 0.09543

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.481 0.000
H8 2.149 1.241 0.000
H9 2.149 -1.241 0.000
H10 0.000 -2.481 0.000
H11 -2.149 -1.241 0.000
H12 -2.149 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39152.41022.78302.41021.39151.08982.15423.39803.87283.39802.1542
C21.39151.39152.41022.78302.41022.15421.08982.15423.39803.87283.3980
C32.41021.39151.39152.41022.78303.39802.15421.08982.15423.39803.8728
C42.78302.41021.39151.39152.41023.87283.39802.15421.08982.15423.3980
C52.41022.78302.41021.39151.39153.39803.87283.39802.15421.08982.1542
C61.39152.41022.78302.41021.39152.15423.39803.87283.39802.15421.0898
H71.08982.15423.39803.87283.39802.15422.48134.29784.96274.29782.4813
H82.15421.08982.15423.39803.87283.39802.48132.48134.29784.96274.2978
H93.39802.15421.08982.15423.39803.87284.29782.48132.48134.29784.9627
H103.87283.39802.15421.08982.15423.39804.96274.29782.48132.48134.2978
H113.39803.87283.39802.15421.08982.15424.29784.96274.29782.48132.4813
H122.15423.39803.87283.39802.15421.08982.48134.29784.96274.29782.4813

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 B1B95/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.008      
2 C 0.008      
3 C 0.008      
4 C 0.008      
5 C 0.008      
6 C 0.008      
7 H -0.008      
8 H -0.008      
9 H -0.008      
10 H -0.008      
11 H -0.008      
12 H -0.008      


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 -31.528 0.000 0.000
y 0.000 -31.528 0.000
z 0.000 0.000 -39.027
Traceless
 xyz
x 3.749 0.000 0.000
y 0.000 3.749 0.000
z 0.000 0.000 -7.498
Polar
3z2-r2-14.997
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 10.960 0.000 0.000
y 0.000 10.958 0.000
z 0.000 0.000 3.637


<r2> (average value of r2) Å2
<r2> 127.903
(<r2>)1/2 11.309