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All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-310.557464
Energy at 298.15K-310.567667
Nuclear repulsion energy339.156320
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 PBEPBE/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 A' 3121 3099 16.81      
2 A' 3099 3078 4.17      
3 A' 3083 3062 10.57      
4 A' 3037 3016 38.42      
5 A' 2966 2946 34.55      
6 A' 2962 2942 24.46      
7 A' 1602 1591 5.73      
8 A' 1484 1474 12.31      
9 A' 1455 1445 3.11      
10 A' 1434 1425 1.25      
11 A' 1352 1343 2.44      
12 A' 1298 1290 1.11      
13 A' 1195 1187 0.27      
14 A' 1166 1158 0.19      
15 A' 1047 1040 7.37      
16 A' 1028 1021 3.49      
17 A' 993 986 0.10      
18 A' 962 955 0.14      
19 A' 953 947 2.57      
20 A' 891 884 1.56      
21 A' 764 759 4.13      
22 A' 745 740 18.94      
23 A' 694 689 39.87      
24 A' 547 544 6.92      
25 A' 486 482 5.06      
26 A' 299 297 0.14      
27 A' 129 129 0.68      
28 A" 3108 3086 33.75      
29 A" 3084 3063 7.24      
30 A" 3041 3020 28.35      
31 A" 2997 2976 7.47      
32 A" 1583 1572 0.59      
33 A" 1443 1433 13.59      
34 A" 1442 1432 0.57      
35 A" 1345 1336 0.29      
36 A" 1314 1305 0.36      
37 A" 1231 1222 0.01      
38 A" 1146 1138 0.03      
39 A" 1088 1080 3.97      
40 A" 1022 1015 2.48      
41 A" 940 934 0.00      
42 A" 826 820 0.03      
43 A" 765 759 0.83      
44 A" 615 611 0.05      
45 A" 398 395 0.00      
46 A" 341 339 0.10      
47 A" 210 209 0.01      
48 A" 40 40 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 33385.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 33155.2 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 PBEPBE/cc-pVTZ
ABC
0.15100 0.04854 0.04027

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.234 0.495 0.000
C2 -0.236 -0.226 1.203
C3 -0.236 -1.622 1.206
C4 -0.235 -2.325 0.000
C5 -0.236 -1.622 -1.206
C6 -0.236 -0.226 -1.203
C7 -0.191 2.005 0.000
C8 1.242 2.559 0.000
H9 -0.243 0.318 2.151
H10 -0.242 -2.162 2.154
H11 -0.238 -3.416 0.000
H12 -0.242 -2.162 -2.154
H13 -0.243 0.318 -2.151
H14 -0.728 2.386 -0.883
H15 -0.728 2.386 0.883
H16 1.795 2.219 0.887
H17 1.795 2.219 -0.887
H18 1.241 3.659 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40222.43612.82022.43611.40221.51072.53802.15833.42053.91093.42052.15832.14442.14442.80652.80653.4907
C21.40221.39602.41992.78452.40592.53463.37461.09272.15753.40973.87563.39773.37802.67653.19393.80364.3261
C32.43611.39601.39652.41252.78453.82224.59572.15731.09122.16223.40373.87724.54584.05044.35634.82235.6140
C42.82022.41991.39651.39652.41994.33055.10313.40782.16041.09082.16043.40784.81834.81835.05535.05536.1632
C52.43612.78452.41251.39651.39603.82224.59573.87723.40372.16221.09122.15734.05044.54584.82234.35635.6140
C61.40222.40592.78452.41991.39602.53463.37463.39773.87563.40972.15751.09272.67653.37803.80363.19394.3261
C71.51072.53463.82224.33053.82222.53461.53702.73424.69125.42124.69122.73421.10101.10102.18602.18602.1877
C82.53803.37464.59575.10314.59573.37461.53703.44345.39776.15625.39773.44342.16602.16601.09911.09911.0993
H92.15831.09272.15733.40783.87723.39772.73423.44342.47994.30914.96834.30193.70332.47383.06064.12254.2414
H103.42052.15751.09122.16043.40373.87564.69125.39772.47992.49264.30854.96835.49014.74714.99505.70876.3812
H113.91093.40972.16221.09082.16223.40975.42126.15624.30912.49262.49264.30915.88895.88896.05596.05597.2277
H123.42053.87563.40372.16041.09122.15754.69125.39774.96834.30852.49262.47994.74715.49015.70874.99506.3812
H132.15833.39773.87723.40782.15731.09272.73423.44344.30194.96834.30912.47992.47383.70334.12253.06064.2414
H142.14443.37804.54584.81834.05042.67651.10102.16603.70335.49015.88894.74712.47381.76543.08652.52902.5053
H152.14442.67654.05044.81834.54583.37801.10102.16602.47384.74715.88895.49013.70331.76542.52903.08652.5053
H162.80653.19394.35635.05534.82233.80362.18601.09913.06064.99506.05595.70874.12253.08652.52901.77311.7795
H172.80653.80364.82235.05534.35633.19392.18601.09914.12255.70876.05594.99503.06062.52903.08651.77311.7795
H183.49074.32615.61406.16325.61404.32612.18771.09934.24146.38127.22776.38124.24142.50532.50531.77951.7795

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.053 C1 C2 H9 119.260
C1 C6 C5 121.053 C1 C6 H13 119.260
C1 C7 C8 112.767 C1 C7 H14 109.381
C1 C7 H15 109.381 C2 C1 C6 118.164
C2 C1 C7 120.907 C2 C3 C4 120.123
C2 C3 H10 119.821 C3 C2 H9 119.686
C3 C4 C5 119.484 C3 C4 H11 120.257
C4 C3 H10 120.056 C4 C5 C6 120.123
C4 C5 H12 120.056 C5 C4 H11 120.257
C5 C6 H13 119.686 C6 C1 C7 120.907
C6 C5 H12 119.821 C7 C8 H16 110.954
C7 C8 H17 110.954 C7 C8 H18 111.074
C8 C7 H14 109.269 C8 C7 H15 109.269
H14 C7 H15 106.584 H16 C8 H17 107.539
H16 C8 H18 108.089 H17 C8 H18 108.089
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.101      
2 C -0.127      
3 C -0.099      
4 C -0.108      
5 C -0.099      
6 C -0.127      
7 C -0.170      
8 C -0.275      
9 H 0.085      
10 H 0.096      
11 H 0.097      
12 H 0.096      
13 H 0.085      
14 H 0.081      
15 H 0.081      
16 H 0.097      
17 H 0.097      
18 H 0.093      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.051 0.368 0.000 0.372
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.755 -0.088 0.000
y -0.088 -45.465 0.000
z 0.000 0.000 -45.572
Traceless
 xyz
x -7.236 -0.088 0.000
y -0.088 3.699 0.000
z 0.000 0.000 3.537
Polar
3z2-r27.075
x2-y2-7.290
xy-0.088
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.752 0.902 0.000
y 0.902 17.782 0.000
z 0.000 0.000 14.383


<r2> (average value of r2) Å2
<r2> 292.574
(<r2>)1/2 17.105