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All results from a given calculation for C6H6 (Benzene)

using model chemistry: mPW1PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-232.265121
Energy at 298.15K-232.271457
HF Energy-232.265121
Nuclear repulsion energy204.350196
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/TZVP
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 3224 3076 0.00 407.34 0.11 0.20
2 A1g 1030 982 0.00 67.83 0.05 0.10
3 A2g 1386 1322 0.00 0.00 0.75 0.86
4 A2u 692 660 119.46 0.00 0.00 0.00
5 B1u 3189 3042 0.00 0.00 0.00 0.00
6 B1u 1028 980 0.00 0.00 0.00 0.00
7 B2g 1004 958 0.00 0.00 0.75 0.86
8 B2g 688 656 0.00 0.00 0.75 0.86
9 B2u 1362 1300 0.00 0.00 0.00 0.00
10 B2u 1182 1128 0.00 0.00 0.00 0.00
11 E1g 869 829 0.00 0.05 0.75 0.86
11 E1g 869 829 0.00 0.06 0.75 0.86
12 E1u 3214 3066 29.93 0.00 0.00 0.00
12 E1u 3214 3066 29.93 0.00 0.00 0.00
13 E1u 1525 1455 8.87 0.00 0.00 0.00
13 E1u 1525 1455 8.87 0.00 0.00 0.00
14 E1u 1073 1023 6.83 0.00 0.00 0.00
14 E1u 1073 1023 6.83 0.00 0.00 0.00
15 E2g 3199 3051 0.00 124.89 0.75 0.86
15 E2g 3199 3051 0.00 124.86 0.75 0.86
16 E2g 1662 1585 0.00 10.14 0.75 0.86
16 E2g 1662 1585 0.00 10.14 0.75 0.86
17 E2g 1207 1151 0.00 5.77 0.75 0.86
17 E2g 1207 1151 0.00 5.77 0.75 0.86
18 E2g 624 595 0.00 4.73 0.75 0.86
18 E2g 624 595 0.00 4.74 0.75 0.86
19 E2u 975 931 0.00 0.00 0.00 0.00
19 E2u 975 931 0.00 0.00 0.00 0.00
20 E2u 409 390 0.00 0.00 0.00 0.00
20 E2u 409 390 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22146.7 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 21127.9 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/TZVP
ABC
0.19193 0.19193 0.09596

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

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 2.471 0.000
H8 2.140 1.236 0.000
H9 2.140 -1.236 0.000
H10 0.000 -2.471 0.000
H11 -2.140 -1.236 0.000
H12 -2.140 1.236 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38812.40432.77632.40431.38811.08312.14563.38593.85943.38592.1456
C21.38811.38812.40432.77632.40432.14561.08312.14563.38593.85943.3859
C32.40431.38811.38812.40432.77633.38592.14561.08312.14563.38593.8594
C42.77632.40431.38811.38812.40433.85943.38592.14561.08312.14563.3859
C52.40432.77632.40431.38811.38813.38593.85943.38592.14561.08312.1456
C61.38812.40432.77632.40431.38812.14563.38593.85943.38592.14561.0831
H71.08312.14563.38593.85943.38592.14562.47134.28044.94264.28042.4713
H82.14561.08312.14563.38593.85943.38592.47132.47134.28044.94264.2804
H93.38592.14561.08312.14563.38593.85944.28042.47132.47134.28044.9426
H103.85943.38592.14561.08312.14563.38594.94264.28042.47132.47134.2804
H113.38593.85943.38592.14561.08312.14564.28044.94264.28042.47132.4713
H122.14563.38593.85943.38592.14561.08312.47134.28044.94264.28042.4713

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 mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.111      
2 C -0.111      
3 C -0.111      
4 C -0.111      
5 C -0.111      
6 C -0.111      
7 H 0.111      
8 H 0.111      
9 H 0.111      
10 H 0.111      
11 H 0.111      
12 H 0.111      


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 -31.498 0.000 0.000
y 0.000 -31.498 0.000
z 0.000 0.000 -39.746
Traceless
 xyz
x 4.124 0.000 0.000
y 0.000 4.124 0.000
z 0.000 0.000 -8.249
Polar
3z2-r2-16.498
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 11.193 0.000 0.000
y 0.000 11.193 0.000
z 0.000 0.000 5.421


<r2> (average value of r2) Å2
<r2> 127.403
(<r2>)1/2 11.287