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All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

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 CS 1A'
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-309.181462
Energy at 298.15K-309.192015
Nuclear repulsion energy339.374755
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 A' 3217 3104 13.99      
2 A' 3194 3081 5.89      
3 A' 3179 3068 7.78      
4 A' 3117 3007 39.63      
5 A' 3055 2948 21.48      
6 A' 3051 2944 28.81      
7 A' 1634 1577 4.36      
8 A' 1571 1515 5.59      
9 A' 1554 1500 8.07      
10 A' 1544 1490 8.24      
11 A' 1459 1408 3.73      
12 A' 1370 1322 1.01      
13 A' 1241 1197 0.09      
14 A' 1234 1191 0.34      
15 A' 1104 1065 13.99      
16 A' 1065 1028 2.29      
17 A' 1038 1002 0.57      
18 A' 1032 996 0.13      
19 A' 962 928 0.78      
20 A' 940 907 1.51      
21 A' 798 770 12.67      
22 A' 782 755 10.81      
23 A' 734 708 51.51      
24 A' 581 561 8.12      
25 A' 511 493 5.86      
26 A' 318 307 0.22      
27 A' 136 131 0.90      
28 A" 3202 3090 30.45      
29 A" 3180 3069 3.84      
30 A" 3128 3018 27.80      
31 A" 3090 2981 4.24      
32 A" 1618 1561 1.25      
33 A" 1564 1509 9.85      
34 A" 1512 1459 8.19      
35 A" 1411 1361 0.74      
36 A" 1338 1291 0.01      
37 A" 1291 1246 0.33      
38 A" 1230 1187 0.15      
39 A" 1146 1106 1.66      
40 A" 1076 1038 3.33      
41 A" 1002 967 0.00      
42 A" 871 840 0.01      
43 A" 811 783 1.37      
44 A" 661 638 0.07      
45 A" 424 410 0.00      
46 A" 358 345 0.12      
47 A" 227 219 0.02      
48 A" 50 48 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 34803.3 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 33581.7 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 B3LYP/3-21G
ABC
0.14967 0.04883 0.04055

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.244 0.497 0.000
C2 -0.244 -0.218 1.205
C3 -0.244 -1.615 1.207
C4 -0.243 -2.317 0.000
C5 -0.244 -1.615 -1.207
C6 -0.244 -0.218 -1.205
C7 -0.190 2.016 0.000
C8 1.277 2.523 0.000
H9 -0.249 0.324 2.146
H10 -0.248 -2.153 2.148
H11 -0.246 -3.401 0.000
H12 -0.248 -2.153 -2.148
H13 -0.249 0.324 -2.146
H14 -0.709 2.404 -0.885
H15 -0.709 2.404 0.885
H16 1.803 2.155 0.887
H17 1.803 2.155 -0.887
H18 1.311 3.618 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40152.43232.81432.43231.40151.52022.53302.15273.41153.89823.41152.15272.15282.15282.77982.77983.4871
C21.40151.39632.42042.78742.41042.53943.35841.08542.15243.40353.87163.39443.38502.68223.15063.76844.3116
C32.43231.39631.39692.41442.78743.82674.57042.15341.08432.15623.39853.87284.55404.05814.30184.77355.5909
C42.81432.42041.39691.39692.42044.33395.07323.40272.15461.08392.15463.40274.82584.82584.99774.99776.1357
C52.43232.78742.41441.39691.39633.82674.57043.87283.39852.15621.08432.15344.05814.55404.77354.30185.5909
C61.40152.41042.78742.42041.39632.53943.35843.39443.87163.40352.15241.08542.68223.38503.76843.15064.3116
C71.52022.53943.82674.33393.82672.53941.55132.73364.69065.41774.69062.73361.09641.09642.18582.18582.1951
C82.53303.35844.57045.07324.57043.35841.55133.43065.36706.11665.36703.43062.17692.17691.09491.09491.0959
H92.15271.08542.15343.40273.87283.39442.73363.43062.47674.29864.95714.29143.70422.47573.02544.09424.2300
H103.41152.15241.08432.15463.39853.87164.69065.36702.47672.48464.29664.95715.49324.75134.93575.65506.3525
H113.89823.40352.15621.08392.15623.40355.41776.11664.29862.48462.48464.29865.89035.89035.98815.98817.1901
H123.41153.87163.39852.15461.08432.15244.69065.36704.95714.29662.48462.47674.75135.49325.65504.93576.3525
H132.15273.39443.87283.40272.15341.08542.73363.43064.29144.95714.29862.47672.47573.70424.09423.02544.2300
H142.15283.38504.55404.82584.05812.68221.09642.17693.70425.49325.89034.75132.47571.76913.08392.52462.5174
H152.15282.68224.05814.82584.55403.38501.09642.17692.47574.75135.89035.49323.70421.76912.52463.08392.5174
H162.77983.15064.30184.99774.77353.76842.18581.09493.02544.93575.98815.65504.09423.08392.52461.77321.7803
H172.77983.76844.77354.99774.30183.15062.18581.09494.09425.65505.98814.93573.02542.52463.08391.77321.7803
H183.48714.31165.59096.13575.59094.31162.19511.09594.23006.35257.19016.35254.23002.51742.51741.78031.7803

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.772 C1 C2 H9 119.363
C1 C6 C5 120.772 C1 C6 H13 119.363
C1 C7 C8 111.109 C1 C7 H14 109.654
C1 C7 H15 109.654 C2 C1 C6 118.622
C2 C1 C7 120.668 C2 C3 C4 120.121
C2 C3 H10 119.860 C3 C2 H9 119.864
C3 C4 C5 119.592 C3 C4 H11 120.204
C4 C3 H10 120.019 C4 C5 C6 120.121
C4 C5 H12 120.019 C5 C4 H11 120.204
C5 C6 H13 119.864 C6 C1 C7 120.668
C6 C5 H12 119.860 C7 C8 H16 110.187
C7 C8 H17 110.187 C7 C8 H18 110.857
C8 C7 H14 109.398 C8 C7 H15 109.398
H14 C7 H15 107.554 H16 C8 H17 108.137
H16 C8 H18 108.704 H17 C8 H18 108.704
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 0.038      
2 C -0.190      
3 C -0.183      
4 C -0.189      
5 C -0.183      
6 C -0.190      
7 C -0.439      
8 C -0.537      
9 H 0.178      
10 H 0.184      
11 H 0.183      
12 H 0.184      
13 H 0.178      
14 H 0.197      
15 H 0.197      
16 H 0.194      
17 H 0.194      
18 H 0.185      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.098 0.311 0.000 0.326
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.982 0.035 0.000
y 0.035 -44.431 0.000
z 0.000 0.000 -44.486
Traceless
 xyz
x -8.523 0.035 0.000
y 0.035 4.302 0.000
z 0.000 0.000 4.221
Polar
3z2-r28.442
x2-y2-8.550
xy0.035
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.348 0.644 0.000
y 0.644 14.764 0.000
z 0.000 0.000 12.150


<r2> (average value of r2) Å2
<r2> 290.832
(<r2>)1/2 17.054