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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-308.321294
Energy at 298.15K-308.327023
HF Energy-308.321294
Nuclear repulsion energy315.573063
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 mPW1PW91/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3272 3124 0.00      
2 Ag 3248 3101 0.00      
3 Ag 3233 3086 0.00      
4 Ag 1682 1606 0.00      
5 Ag 1585 1514 0.00      
6 Ag 1397 1334 0.00      
7 Ag 1330 1270 0.00      
8 Ag 1199 1145 0.00      
9 Ag 1114 1063 0.00      
10 Ag 969 925 0.00      
11 Ag 860 821 0.00      
12 Ag 712 680 0.00      
13 Ag 661 631 0.00      
14 Au 930 888 6.23      
15 Au 887 847 12.24      
16 Au 738 704 74.11      
17 Au 515 492 7.11      
18 Au 299 286 1.29      
19 Au 159 152 4.72      
20 Bg 928 886 0.00      
21 Bg 921 879 0.00      
22 Bg 801 765 0.00      
23 Bg 675 645 0.00      
24 Bg 553 528 0.00      
25 Bu 3272 3124 20.94      
26 Bu 3249 3102 11.64      
27 Bu 3234 3087 13.86      
28 Bu 1682 1606 45.04      
29 Bu 1571 1500 15.07      
30 Bu 1346 1285 19.29      
31 Bu 1272 1215 17.96      
32 Bu 1134 1082 41.16      
33 Bu 1062 1014 7.90      
34 Bu 960 916 5.96      
35 Bu 845 807 8.71      
36 Bu 449 428 3.53      

Unscaled Zero Point Vibrational Energy (zpe) 24372.4 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 23268.4 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 mPW1PW91/6-31G(2df,p)
ABC
0.17581 0.07275 0.05146

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.339 1.085 0.000
C2 2.156 -0.169 0.000
C3 1.339 -1.239 0.000
C4 -1.339 -1.085 0.000
C5 -2.156 0.169 0.000
C6 -1.339 1.239 0.000
C7 0.042 0.729 0.000
C8 -0.042 -0.729 0.000
H9 1.764 2.081 0.000
H10 3.238 -0.180 0.000
H11 1.632 -2.279 0.000
H12 -1.764 -2.081 0.000
H13 -3.238 0.180 0.000
H14 -1.632 2.279 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.49622.32403.44653.61272.68201.34512.27961.08282.28183.37664.43264.66503.2020
C21.49621.34663.61274.32463.76742.29682.26772.28351.08202.17424.36105.40464.5098
C32.32401.34662.68203.76743.64842.35731.47163.34722.17411.08043.21464.79154.6047
C43.44653.61272.68201.49622.32402.27961.34514.43264.66503.20201.08282.28183.3766
C53.61274.32463.76741.49621.34662.26772.29684.36105.40464.50982.28351.08202.1742
C62.68203.76743.64842.32401.34661.47162.35733.21464.79154.60473.34722.17411.0804
C71.34512.29682.35732.27962.26771.47161.46072.18923.32293.40273.34003.32492.2811
C82.27962.26771.47161.34512.29682.35731.46073.34003.32492.28112.18923.32293.4027
H91.08282.28353.34724.43264.36103.21462.18923.34002.69944.36185.45555.35023.4015
H102.28181.08202.17414.66505.40464.79153.32293.32492.69942.64225.35026.48535.4556
H113.37662.17421.08043.20204.50984.60473.40272.28114.36182.64223.40155.45565.6062
H124.43264.36103.21461.08282.28353.34723.34002.18925.45555.35023.40152.69944.3618
H134.66505.40464.79152.28181.08202.17413.32493.32295.35026.48535.45562.69942.6422
H143.20204.50984.60473.37662.17421.08042.28113.40273.40155.45565.60624.36182.6422

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.561 C1 C2 H10 123.716
C1 C7 C6 144.388 C1 C7 C8 108.604
C2 C1 C7 107.754 C2 C1 H9 123.814
C2 C3 C8 107.072 C2 C3 H11 126.893
C3 C2 H10 126.723 C3 C8 C4 144.388
C3 C8 C7 107.008 C4 C5 C6 109.561
C4 C5 H13 123.716 C4 C8 C7 108.604
C5 C4 C8 107.754 C5 C4 H12 123.814
C5 C6 C7 107.072 C5 C6 H14 126.893
C6 C5 H13 126.723 C6 C7 C8 107.008
C7 C1 H9 128.432 C7 C6 H14 126.035
C8 C3 H11 126.035 C8 C4 H12 128.432
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.303      
2 C -0.125      
3 C -0.263      
4 C -0.303      
5 C -0.125      
6 C -0.263      
7 C 0.280      
8 C 0.280      
9 H 0.139      
10 H 0.135      
11 H 0.137      
12 H 0.139      
13 H 0.135      
14 H 0.137      


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 -39.766 1.270 0.000
y 1.270 -39.707 0.000
z 0.000 0.000 -49.141
Traceless
 xyz
x 4.658 1.270 0.000
y 1.270 4.747 0.000
z 0.000 0.000 -9.404
Polar
3z2-r2-18.809
x2-y2-0.060
xy1.270
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 17.475 1.007 0.000
y 1.007 12.015 0.000
z 0.000 0.000 4.921


<r2> (average value of r2) Å2
<r2> 216.149
(<r2>)1/2 14.702