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All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

using model chemistry: PBEPBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-310.513195
Energy at 298.15K-310.523363
Nuclear repulsion energy338.496895
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/6-311G*
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 3088 23.97      
2 A' 3098 3066 7.14      
3 A' 3082 3050 13.03      
4 A' 3039 3008 48.70      
5 A' 2967 2937 39.83      
6 A' 2964 2933 30.98      
7 A' 1610 1593 4.89      
8 A' 1490 1475 13.36      
9 A' 1475 1460 3.94      
10 A' 1453 1438 1.71      
11 A' 1368 1353 3.45      
12 A' 1310 1296 1.56      
13 A' 1198 1186 0.09      
14 A' 1172 1159 0.19      
15 A' 1055 1044 8.75      
16 A' 1029 1019 3.57      
17 A' 991 981 0.17      
18 A' 958 948 2.91      
19 A' 942 932 0.09      
20 A' 874 865 1.54      
21 A' 765 757 2.73      
22 A' 740 732 22.01      
23 A' 688 681 47.69      
24 A' 548 542 8.21      
25 A' 486 481 6.26      
26 A' 300 297 0.19      
27 A' 129 128 0.87      
28 A" 3107 3075 48.79      
29 A" 3083 3051 9.48      
30 A" 3044 3012 35.77      
31 A" 2999 2968 9.59      
32 A" 1590 1573 0.68      
33 A" 1463 1448 11.82      
34 A" 1447 1432 5.06      
35 A" 1352 1338 0.24      
36 A" 1320 1306 0.30      
37 A" 1240 1228 0.06      
38 A" 1152 1140 0.04      
39 A" 1092 1081 3.99      
40 A" 1030 1019 2.96      
41 A" 913 903 0.00      
42 A" 816 808 0.03      
43 A" 768 760 0.84      
44 A" 617 610 0.06      
45 A" 397 393 0.00      
46 A" 345 342 0.07      
47 A" 215 212 0.03      
48 A" 45 44 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 33442.5 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 33094.7 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 PBEPBE/6-311G*
ABC
0.15027 0.04839 0.04014

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.236 0.497 0.000
C2 -0.237 -0.225 1.206
C3 -0.237 -1.624 1.209
C4 -0.236 -2.329 0.000
C5 -0.237 -1.624 -1.209
C6 -0.237 -0.225 -1.206
C7 -0.190 2.009 0.000
C8 1.246 2.560 0.000
H9 -0.243 0.319 2.156
H10 -0.243 -2.166 2.159
H11 -0.240 -3.423 0.000
H12 -0.243 -2.166 -2.159
H13 -0.243 0.319 -2.156
H14 -0.729 2.395 -0.883
H15 -0.729 2.395 0.883
H16 1.802 2.218 0.887
H17 1.802 2.218 -0.887
H18 1.251 3.661 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40532.44122.82592.44121.40531.51332.54022.16363.42833.91963.42832.16362.15052.15052.81072.81073.4966
C21.40531.39892.42482.79042.41122.53963.37771.09562.16243.41733.88453.40573.38642.68543.19753.80834.3328
C32.44121.39891.39942.41772.79043.82974.60062.16201.09412.16713.41153.88604.55724.06214.36084.82785.6224
C42.82592.42481.39941.39942.42484.33885.10863.41512.16551.09372.16553.41514.83094.83095.06085.06086.1723
C52.44122.79042.41771.39941.39893.82974.60063.88603.41152.16711.09412.16204.06214.55724.82784.36085.6224
C61.40532.41122.79042.42481.39892.53963.37773.40573.88453.41732.16241.09562.68543.38643.80833.19754.3328
C71.51332.53963.82974.33883.82972.53961.53842.74044.70105.43244.70102.74041.10361.10362.19052.19052.1925
C82.54023.37774.60065.10864.60063.37771.53843.44805.40486.16435.40483.44802.16992.16991.10121.10121.1016
H92.16361.09562.16203.41513.88603.40572.74043.44802.48524.31884.98004.31273.71212.48323.06524.12914.2489
H103.42832.16241.09412.16553.41153.88454.70105.40482.48522.49844.31864.98005.50374.76105.00135.71646.3916
H113.91963.41732.16711.09372.16713.41735.43246.16434.31882.49842.49844.31885.90455.90456.06376.06377.2393
H123.42833.88453.41152.16551.09412.16244.70105.40484.98004.31862.49842.48524.76105.50375.71645.00136.3916
H132.16363.40573.88603.41512.16201.09562.74043.44804.31274.98004.31882.48522.48323.71214.12913.06524.2489
H142.15053.38644.55724.83094.06212.68541.10362.16993.71215.50375.90454.76102.48321.76533.09332.53682.5110
H152.15052.68544.06214.83094.55723.38641.10362.16992.48324.76105.90455.50373.71211.76532.53683.09332.5110
H162.81073.19754.36085.06084.82783.80832.19051.10123.06525.00136.06375.71644.12913.09332.53681.77481.7816
H172.81073.80834.82785.06084.36083.19752.19051.10124.12915.71646.06375.00133.06522.53683.09331.77481.7816
H183.49664.33285.62246.17235.62244.33282.19251.10164.24896.39167.23936.39164.24892.51102.51101.78161.7816

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.050 C1 C2 H9 119.285
C1 C6 C5 121.050 C1 C6 H13 119.285
C1 C7 C8 112.686 C1 C7 H14 109.530
C1 C7 H15 109.530 C2 C1 C6 118.166
C2 C1 C7 120.902 C2 C3 C4 120.117
C2 C3 H10 119.820 C3 C2 H9 119.664
C3 C4 C5 119.500 C3 C4 H11 120.250
C4 C3 H10 120.062 C4 C5 C6 120.117
C4 C5 H12 120.062 C5 C4 H11 120.250
C5 C6 H13 119.664 C6 C1 C7 120.902
C6 C5 H12 119.820 C7 C8 H16 111.083
C7 C8 H17 111.083 C7 C8 H18 111.222
C8 C7 H14 109.330 C8 C7 H15 109.330
H14 C7 H15 106.229 H16 C8 H17 107.375
H16 C8 H18 107.957 H17 C8 H18 107.957
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.076      
2 C -0.195      
3 C -0.189      
4 C -0.184      
5 C -0.189      
6 C -0.195      
7 C -0.507      
8 C -0.620      
9 H 0.178      
10 H 0.184      
11 H 0.185      
12 H 0.184      
13 H 0.178      
14 H 0.221      
15 H 0.221      
16 H 0.220      
17 H 0.220      
18 H 0.213      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.040 0.298 0.000 0.300
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.215 -0.098 0.000
y -0.098 -45.054 0.000
z 0.000 0.000 -45.095
Traceless
 xyz
x -8.141 -0.098 0.000
y -0.098 4.101 0.000
z 0.000 0.000 4.040
Polar
3z2-r28.080
x2-y2-8.161
xy-0.098
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.658 0.835 0.000
y 0.835 16.979 0.000
z 0.000 0.000 13.764


<r2> (average value of r2) Å2
<r2> 293.391
(<r2>)1/2 17.129