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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBEultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-231.837601
Energy at 298.15K-231.844071
HF Energy-231.837601
Nuclear repulsion energy219.699841
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 PBEPBEultrafine/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 A1' 3137 3115 0.00      
2 A1' 1274 1265 0.00      
3 A1' 1096 1089 0.00      
4 A1' 924 917 0.00      
5 A1" 956 950 0.00      
6 A1" 623 619 0.00      
7 A2' 957 951 0.00      
8 A2" 3130 3109 56.28      
9 A2" 1308 1299 0.01      
10 A2" 948 941 3.47      
11 E' 3124 3102 31.63      
11 E' 3124 3102 31.63      
12 E' 1216 1208 12.59      
12 E' 1216 1208 12.59      
13 E' 907 901 2.01      
13 E' 907 901 2.01      
14 E' 826 820 0.63      
14 E' 826 820 0.63      
15 E' 792 787 47.93      
15 E' 792 787 47.93      
16 E" 3111 3090 0.00      
16 E" 3111 3090 0.00      
17 E" 1130 1123 0.00      
17 E" 1130 1123 0.00      
18 E" 980 974 0.00      
18 E" 980 974 0.00      
19 E" 755 750 0.00      
19 E" 755 750 0.00      
20 E" 655 651 0.00      
20 E" 655 651 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20673.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20530.7 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 PBEPBEultrafine/cc-pVTZ
ABC
0.23154 0.17917 0.17917

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.880 0.779
C2 -0.762 -0.440 0.779
C3 0.762 -0.440 0.779
C4 0.000 0.880 -0.779
C5 0.762 -0.440 -0.779
C6 -0.762 -0.440 -0.779
H7 0.000 1.678 1.519
H8 -1.453 -0.839 1.519
H9 1.453 -0.839 1.519
H10 0.000 1.678 -1.519
H11 1.453 -0.839 -1.519
H12 -1.453 -0.839 -1.519

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52451.52451.55872.18032.18031.08802.36952.36952.43303.21723.2172
C21.52451.52452.18032.18031.55872.36951.08802.36953.21723.21722.4330
C31.52451.52452.18031.55872.18032.36952.36951.08803.21722.43303.2172
C41.55872.18032.18031.52451.52452.43303.21723.21721.08802.36952.3695
C52.18032.18031.55871.52451.52453.21723.21722.43302.36951.08802.3695
C62.18031.55872.18031.52451.52453.21722.43303.21722.36952.36951.0880
H71.08802.36952.36952.43303.21723.21722.90642.90643.03814.20454.2045
H82.36951.08802.36953.21723.21722.43302.90642.90644.20454.20453.0381
H92.36952.36951.08803.21722.43303.21722.90642.90644.20453.03814.2045
H102.43303.21723.21721.08802.36952.36953.03814.20454.20452.90642.9064
H113.21723.21722.43302.36951.08802.36954.20454.20453.03812.90642.9064
H123.21722.43303.21722.36952.36951.08804.20453.03814.20452.90642.9064

picture of Prismane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C6 90.000
C1 C2 H8 129.426 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.426
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.834 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.426
C2 C3 C5 90.000 C2 C3 H9 129.426
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.834 C3 C1 C4 90.000
C3 C1 H7 129.426 C3 C2 C6 90.000
C3 C2 H8 129.426 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.834
C4 C1 H7 132.834 C4 C5 C6 60.000
C4 C5 H11 129.426 C4 C6 H12 129.426
C5 C3 H9 132.834 C5 C4 C6 60.000
C5 C4 H10 129.426 C5 C6 H12 129.426
C6 C2 H8 132.834 C6 C4 C5 60.000
C6 C4 H10 129.426 C6 C5 H11 129.426
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.092      
2 C -0.092      
3 C -0.092      
4 C -0.092      
5 C -0.092      
6 C -0.092      
7 H 0.092      
8 H 0.092      
9 H 0.092      
10 H 0.092      
11 H 0.092      
12 H 0.092      


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 -35.740 0.000 0.000
y 0.000 -35.740 0.000
z 0.000 0.000 -33.144
Traceless
 xyz
x -1.298 0.000 0.000
y 0.000 -1.298 0.000
z 0.000 0.000 2.597
Polar
3z2-r25.193
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 8.324 0.000 0.000
y 0.000 8.324 0.000
z 0.000 0.000 8.991


<r2> (average value of r2) Å2
<r2> 102.278
(<r2>)1/2 10.113