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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-306.665677
Energy at 298.15K-306.671399
HF Energy-306.665677
Nuclear repulsion energy312.823040
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3273 3158 0.00      
2 Ag 3251 3136 0.00      
3 Ag 3241 3127 0.00      
4 Ag 1644 1587 0.00      
5 Ag 1548 1494 0.00      
6 Ag 1372 1324 0.00      
7 Ag 1314 1267 0.00      
8 Ag 1187 1145 0.00      
9 Ag 1143 1103 0.00      
10 Ag 917 884 0.00      
11 Ag 843 813 0.00      
12 Ag 738 712 0.00      
13 Ag 655 632 0.00      
14 Au 952 918 2.11      
15 Au 897 865 24.63      
16 Au 738 712 107.27      
17 Au 523 505 11.59      
18 Au 299 288 1.58      
19 Au 157 152 9.27      
20 Bg 951 917 0.00      
21 Bg 916 884 0.00      
22 Bg 782 755 0.00      
23 Bg 665 642 0.00      
24 Bg 560 540 0.00      
25 Bu 3273 3158 23.15      
26 Bu 3251 3137 10.64      
27 Bu 3242 3128 6.67      
28 Bu 1644 1586 36.68      
29 Bu 1535 1481 10.58      
30 Bu 1360 1312 15.86      
31 Bu 1289 1243 15.43      
32 Bu 1150 1109 35.92      
33 Bu 1046 1009 25.97      
34 Bu 912 880 1.87      
35 Bu 886 855 9.48      
36 Bu 444 428 3.94      

Unscaled Zero Point Vibrational Energy (zpe) 24296.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 23443.9 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 B3LYP/3-21G
ABC
0.17211 0.07154 0.05053

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.352 1.098 0.000
C2 2.179 -0.173 0.000
C3 1.352 -1.250 0.000
C4 -1.352 -1.098 0.000
C5 -2.179 0.173 0.000
C6 -1.352 1.250 0.000
C7 0.046 0.739 0.000
C8 -0.046 -0.739 0.000
H9 1.777 2.092 0.000
H10 3.259 -0.184 0.000
H11 1.643 -2.289 0.000
H12 -1.777 -2.092 0.000
H13 -3.259 0.184 0.000
H14 -1.643 2.289 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.51602.34753.48293.64952.70821.35442.30801.08102.29793.39924.46794.70043.2229
C21.51601.35743.64954.37083.80652.31942.29532.30001.08042.18284.39635.44924.5458
C32.34751.35742.70823.80653.68242.37921.48843.36842.18441.07913.24034.82884.6360
C43.48293.64952.70821.51602.34752.30801.35444.46794.70043.22291.08102.29793.3992
C53.64954.37083.80651.51601.35742.29532.31944.39635.44924.54582.30001.08042.1828
C62.70823.80653.68242.34751.35741.48842.37923.24034.82884.63603.36842.18441.0791
C71.35442.31942.37922.30802.29531.48841.48062.19693.34303.42323.36673.35112.2923
C82.30802.29531.48841.35442.31942.37921.48063.36673.35112.29232.19693.34303.4232
H91.08102.30003.36844.46794.39633.24032.19693.36672.71584.38275.48915.38513.4255
H102.29791.08042.18444.70045.44924.82883.34303.35112.71582.65375.38516.52835.4903
H113.39922.18281.07913.22294.54584.63603.42322.29234.38272.65373.42555.49035.6350
H124.46794.39633.24031.08102.30003.36843.36672.19695.48915.38513.42552.71584.3827
H134.70045.44924.82882.29791.08042.18443.35113.34305.38516.52835.49032.71582.6537
H143.22294.54584.63603.39922.18281.07912.29233.42323.42555.49035.63504.38272.6537

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.445 C1 C2 H10 123.639
C1 C7 C6 144.560 C1 C7 C8 108.919
C2 C1 C7 107.682 C2 C1 H9 123.798
C2 C3 C8 107.434 C2 C3 H11 126.858
C3 C2 H10 126.916 C3 C8 C4 144.560
C3 C8 C7 106.520 C4 C5 C6 109.445
C4 C5 H13 123.639 C4 C8 C7 108.919
C5 C4 C8 107.682 C5 C4 H12 123.798
C5 C6 C7 107.434 C5 C6 H14 126.858
C6 C5 H13 126.916 C6 C7 C8 106.520
C7 C1 H9 128.521 C7 C6 H14 125.708
C8 C3 H11 125.708 C8 C4 H12 128.521
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.212      
2 C -0.201      
3 C -0.167      
4 C -0.212      
5 C -0.201      
6 C -0.167      
7 C 0.022      
8 C 0.022      
9 H 0.188      
10 H 0.186      
11 H 0.184      
12 H 0.188      
13 H 0.186      
14 H 0.184      


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 -39.695 1.167 0.000
y 1.167 -39.939 0.000
z 0.000 0.000 -51.500
Traceless
 xyz
x 6.024 1.167 0.000
y 1.167 5.658 0.000
z 0.000 0.000 -11.682
Polar
3z2-r2-23.365
x2-y20.244
xy1.167
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.414 1.187 0.000
y 1.187 11.211 0.000
z 0.000 0.000 2.990


<r2> (average value of r2) Å2
<r2> 219.964
(<r2>)1/2 14.831