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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at HF/6-31G
 hartrees
Energy at 0K-230.624475
Energy at 298.15K-230.631256
HF Energy-230.624475
Nuclear repulsion energy204.614755
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 HF/6-31G
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 3392 3063 0.00 361.16 0.10 0.18
2 A1g 1088 983 0.00 58.25 0.12 0.21
3 A2g 1539 1389 0.00 0.00 0.00 0.00
4 A2u 784 708 146.87 0.00 0.00 0.00
5 B1u 3346 3021 0.00 0.00 0.00 0.00
6 B1u 1139 1028 0.00 0.00 0.00 0.00
7 B2g 1195 1079 0.00 0.00 0.00 0.00
8 B2g 807 729 0.00 0.00 0.00 0.00
9 B2u 1385 1251 0.00 0.00 0.00 0.00
10 B2u 1271 1148 0.00 0.00 0.00 0.00
11 E1g 993 897 0.00 3.45 0.75 0.86
11 E1g 993 897 0.00 3.45 0.75 0.86
12 E1u 3377 3049 59.27 0.00 0.00 0.00
12 E1u 3377 3049 59.27 0.00 0.00 0.00
13 E1u 1662 1501 14.01 0.00 0.00 0.00
13 E1u 1662 1501 14.01 0.00 0.00 0.00
14 E1u 1151 1039 3.93 0.00 0.00 0.00
14 E1u 1151 1039 3.93 0.00 0.00 0.00
15 E2g 3357 3031 0.00 128.87 0.75 0.86
15 E2g 3357 3031 0.00 128.87 0.75 0.86
16 E2g 1796 1622 0.00 14.31 0.75 0.86
16 E2g 1796 1622 0.00 14.31 0.75 0.86
17 E2g 1320 1192 0.00 7.22 0.75 0.86
17 E2g 1320 1192 0.00 7.22 0.75 0.86
18 E2g 690 623 0.00 3.90 0.75 0.86
18 E2g 690 623 0.00 3.90 0.75 0.86
19 E2u 1148 1036 0.00 0.00 0.00 0.00
19 E2u 1148 1036 0.00 0.00 0.00 0.00
20 E2u 465 420 0.00 0.00 0.00 0.00
20 E2u 465 420 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23932.0 cm-1
Scaled (by 0.9029) Zero Point Vibrational Energy (zpe) 21608.2 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 HF/6-31G
ABC
0.19221 0.19221 0.09611

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.388 0.000
C2 1.202 0.694 0.000
C3 1.202 -0.694 0.000
C4 0.000 -1.388 0.000
C5 -1.202 -0.694 0.000
C6 -1.202 0.694 0.000
H7 0.000 2.462 0.000
H8 2.132 1.231 0.000
H9 2.132 -1.231 0.000
H10 0.000 -2.462 0.000
H11 -2.132 -1.231 0.000
H12 -2.132 1.231 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38832.40462.77662.40461.38831.07332.13763.37703.84983.37702.1376
C21.38831.38832.40462.77662.40462.13761.07332.13763.37703.84983.3770
C32.40461.38831.38832.40462.77663.37702.13761.07332.13763.37703.8498
C42.77662.40461.38831.38832.40463.84983.37702.13761.07332.13763.3770
C52.40462.77662.40461.38831.38833.37703.84983.37702.13761.07332.1376
C61.38832.40462.77662.40461.38832.13763.37703.84983.37702.13761.0733
H71.07332.13763.37703.84983.37702.13762.46154.26354.92314.26352.4615
H82.13761.07332.13763.37703.84983.37702.46152.46154.26354.92314.2635
H93.37702.13761.07332.13763.37703.84984.26352.46152.46154.26354.9231
H103.84983.37702.13761.07332.13763.37704.92314.26352.46152.46154.2635
H113.37703.84983.37702.13761.07332.13764.26354.92314.26352.46152.4615
H122.13763.37703.84983.37702.13761.07332.46154.26354.92314.26352.4615

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.199      
2 C -0.199      
3 C -0.199      
4 C -0.199      
5 C -0.199      
6 C -0.199      
7 H 0.199      
8 H 0.199      
9 H 0.199      
10 H 0.199      
11 H 0.199      
12 H 0.199      


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 0.000 0.000 0.000 0.000
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.716 0.000 0.000
y 0.000 -31.716 0.000
z 0.000 0.000 -40.173
Traceless
 xyz
x 4.229 0.000 0.000
y 0.000 4.229 0.000
z 0.000 0.000 -8.458
Polar
3z2-r2-16.915
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 10.005 0.000 0.000
y 0.000 10.005 0.000
z 0.000 0.000 2.705


<r2> (average value of r2) Å2
<r2> 127.309
(<r2>)1/2 11.283