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All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

using model chemistry: PBEPBE/6-31G*

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/6-31G*
 hartrees
Energy at 0K-310.452147
Energy at 298.15K-310.462295
Nuclear repulsion energy337.935797
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/6-31G*
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' 3138 3094 20.51      
2 A' 3116 3072 5.09      
3 A' 3100 3056 11.45      
4 A' 3062 3018 39.47      
5 A' 2984 2942 33.48      
6 A' 2976 2933 28.98      
7 A' 1621 1598 4.56      
8 A' 1501 1480 10.62      
9 A' 1489 1468 2.14      
10 A' 1466 1445 1.17      
11 A' 1381 1362 1.61      
12 A' 1321 1302 3.27      
13 A' 1204 1187 0.44      
14 A' 1179 1162 0.15      
15 A' 1061 1045 9.40      
16 A' 1035 1020 2.55      
17 A' 989 975 0.19      
18 A' 963 949 2.70      
19 A' 950 937 0.08      
20 A' 882 869 1.35      
21 A' 766 755 3.16      
22 A' 743 732 22.43      
23 A' 691 681 27.48      
24 A' 548 540 5.13      
25 A' 487 480 3.71      
26 A' 300 296 0.26      
27 A' 130 129 0.56      
28 A" 3125 3081 40.22      
29 A" 3101 3057 8.25      
30 A" 3065 3022 27.59      
31 A" 3016 2973 10.08      
32 A" 1601 1578 0.55      
33 A" 1477 1456 8.73      
34 A" 1457 1436 4.54      
35 A" 1368 1348 0.27      
36 A" 1322 1303 0.38      
37 A" 1247 1229 0.08      
38 A" 1158 1142 0.04      
39 A" 1099 1083 2.91      
40 A" 1035 1021 2.35      
41 A" 922 908 0.00      
42 A" 827 815 0.02      
43 A" 774 763 0.99      
44 A" 616 607 0.04      
45 A" 400 394 0.00      
46 A" 346 342 0.05      
47 A" 219 216 0.01      
48 A" 38 37 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 33647.6 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 33166.4 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 PBEPBE/6-31G*
ABC
0.14962 0.04827 0.04003

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.237 0.498 0.000
C2 -0.238 -0.225 1.208
C3 -0.238 -1.626 1.212
C4 -0.237 -2.332 0.000
C5 -0.238 -1.626 -1.212
C6 -0.238 -0.225 -1.208
C7 -0.189 2.013 0.000
C8 1.251 2.560 0.000
H9 -0.244 0.322 2.159
H10 -0.244 -2.168 2.163
H11 -0.241 -3.427 0.000
H12 -0.244 -2.168 -2.163
H13 -0.244 0.322 -2.159
H14 -0.726 2.401 -0.886
H15 -0.726 2.401 0.886
H16 1.804 2.214 0.890
H17 1.804 2.214 -0.890
H18 1.256 3.664 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40802.44572.83082.44571.40801.51552.54272.16643.43383.92583.43382.16642.15462.15462.81112.81113.5002
C21.40801.40172.42972.79642.41652.54353.38121.09682.16583.42333.89183.41153.39332.68943.19683.81064.3375
C32.44571.40171.40242.42312.79643.83594.60562.16651.09542.17083.41813.89324.56644.06924.36144.83065.6292
C42.83082.42971.40241.40242.42974.34585.11413.42182.16951.09502.16953.42184.84004.84005.06275.06276.1797
C52.44572.79642.42311.40241.40173.83594.60563.89323.41812.17081.09542.16654.06924.56644.83064.36145.6292
C61.40802.41652.79642.42971.40172.54353.38123.41153.89183.42332.16581.09682.68943.39333.81063.19684.3375
C71.51552.54353.83594.34583.83592.54351.54072.74314.70825.44084.70822.74311.10571.10572.19232.19232.1944
C82.54273.38124.60565.11414.60563.38121.54073.45055.41056.17085.41053.45052.17192.17191.10361.10361.1038
H92.16641.09682.16653.42183.89323.41152.74313.45052.49044.32684.98864.31833.71822.48473.06354.13184.2522
H103.43382.16581.09542.16953.41813.89184.70825.41052.49042.50314.32664.98865.51414.76855.00225.72046.3990
H113.92583.42332.17081.09502.17083.42335.44086.17084.32682.50312.50314.32685.91495.91496.06656.06657.2479
H123.43383.89183.41812.16951.09542.16584.70825.41054.98864.32662.50312.49044.76855.51415.72045.00226.3990
H132.16643.41153.89323.42182.16651.09682.74313.45054.31834.98864.32682.49042.48473.71824.13183.06354.2522
H142.15463.39334.56644.84004.06922.68941.10572.17193.71825.51415.91494.76852.48471.77183.09652.53662.5118
H152.15462.68944.06924.84004.56643.39331.10572.17192.48474.76855.91495.51413.71821.77182.53663.09652.5118
H162.81113.19684.36145.06274.83063.81062.19231.10363.06355.00226.06655.72044.13183.09652.53661.78001.7874
H172.81113.81064.83065.06274.36143.19682.19231.10364.13185.72046.06655.00223.06352.53663.09651.78001.7874
H183.50024.33755.62926.17975.62924.33752.19441.10384.25226.39907.24796.39904.25222.51182.51181.78741.7874

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.025 C1 C2 H9 119.220
C1 C6 C5 121.025 C1 C6 H13 119.220
C1 C7 C8 112.606 C1 C7 H14 109.574
C1 C7 H15 109.574 C2 C1 C6 118.218
C2 C1 C7 120.876 C2 C3 C4 120.107
C2 C3 H10 119.802 C3 C2 H9 119.754
C3 C4 C5 119.518 C3 C4 H11 120.241
C4 C3 H10 120.091 C4 C5 C6 120.107
C4 C5 H12 120.091 C5 C4 H11 120.241
C5 C6 H13 119.754 C6 C1 C7 120.876
C6 C5 H12 119.802 C7 C8 H16 110.927
C7 C8 H17 110.927 C7 C8 H18 111.077
C8 C7 H14 109.206 C8 C7 H15 109.206
H14 C7 H15 106.488 H16 C8 H17 107.503
H16 C8 H18 108.134 H17 C8 H18 108.134
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.179      
2 C -0.185      
3 C -0.137      
4 C -0.140      
5 C -0.137      
6 C -0.185      
7 C -0.380      
8 C -0.474      
9 H 0.128      
10 H 0.135      
11 H 0.135      
12 H 0.135      
13 H 0.128      
14 H 0.157      
15 H 0.157      
16 H 0.164      
17 H 0.164      
18 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.064 0.312 0.000 0.319
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.656 -0.016 0.000
y -0.016 -44.340 0.000
z 0.000 0.000 -44.508
Traceless
 xyz
x -7.232 -0.016 0.000
y -0.016 3.743 0.000
z 0.000 0.000 3.489
Polar
3z2-r26.979
x2-y2-7.316
xy-0.016
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.443 0.746 0.000
y 0.746 16.157 0.000
z 0.000 0.000 13.115


<r2> (average value of r2) Å2
<r2> 293.529
(<r2>)1/2 17.133