return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-309.066092
Energy at 298.15K-309.076635
Nuclear repulsion energy339.863403
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 B3PW91/3-21G
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' 3225 3100 11.89      
2 A' 3201 3077 5.16      
3 A' 3187 3063 6.69      
4 A' 3130 3009 35.56      
5 A' 3062 2944 20.87      
6 A' 3056 2937 26.99      
7 A' 1644 1580 4.71      
8 A' 1563 1502 8.48      
9 A' 1550 1490 10.98      
10 A' 1538 1478 7.33      
11 A' 1452 1396 6.29      
12 A' 1364 1311 0.67      
13 A' 1242 1194 0.32      
14 A' 1239 1191 0.24      
15 A' 1104 1061 16.15      
16 A' 1066 1025 3.13      
17 A' 1041 1001 0.35      
18 A' 1033 993 0.12      
19 A' 974 937 1.14      
20 A' 941 905 1.90      
21 A' 799 768 12.71      
22 A' 784 754 15.04      
23 A' 733 704 60.22      
24 A' 580 558 9.56      
25 A' 511 491 7.06      
26 A' 316 303 0.20      
27 A' 135 130 1.07      
28 A" 3210 3085 26.08      
29 A" 3188 3064 3.07      
30 A" 3142 3020 23.75      
31 A" 3103 2983 3.66      
32 A" 1627 1564 1.23      
33 A" 1556 1496 12.14      
34 A" 1510 1451 9.43      
35 A" 1404 1350 0.63      
36 A" 1350 1298 0.00      
37 A" 1294 1244 0.48      
38 A" 1229 1181 0.13      
39 A" 1145 1101 2.13      
40 A" 1077 1035 4.05      
41 A" 1003 964 0.01      
42 A" 871 838 0.01      
43 A" 809 777 1.86      
44 A" 658 632 0.09      
45 A" 421 405 0.00      
46 A" 358 344 0.13      
47 A" 226 217 0.02      
48 A" 47 46 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 34849.1 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 33497.0 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 B3PW91/3-21G
ABC
0.14976 0.04911 0.04075

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.245 0.499 0.000
C2 -0.244 -0.215 1.204
C3 -0.244 -1.610 1.206
C4 -0.244 -2.312 0.000
C5 -0.244 -1.610 -1.206
C6 -0.244 -0.215 -1.204
C7 -0.188 2.014 0.000
C8 1.277 2.508 0.000
H9 -0.249 0.328 2.145
H10 -0.248 -2.149 2.148
H11 -0.247 -3.397 0.000
H12 -0.248 -2.149 -2.148
H13 -0.249 0.328 -2.145
H14 -0.707 2.403 -0.885
H15 -0.707 2.403 0.885
H16 1.801 2.136 0.887
H17 1.801 2.136 -0.887
H18 1.321 3.604 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40012.42992.81152.42991.40011.51572.52032.15233.41023.89653.41022.15232.15012.15012.76572.76573.4774
C21.40011.39522.41852.78512.40842.53403.34371.08652.15243.40253.87043.39343.38162.67783.13193.75254.2996
C32.42991.39521.39562.41232.78513.81994.55312.15361.08542.15613.39743.87164.54934.05274.27964.75345.5763
C42.81152.41851.39561.39562.41854.32655.05483.40192.15441.08502.15443.40194.82034.82034.97494.97496.1199
C52.42992.78512.41231.39561.39523.81994.55313.87163.39742.15611.08542.15364.05274.54934.75344.27965.5763
C61.40012.40842.78512.41851.39522.53403.34373.39343.87043.40252.15241.08652.67783.38163.75253.13194.2996
C71.51572.53403.81994.32653.81992.53401.54632.72944.68515.41154.68512.72941.09751.09752.18152.18152.1923
C82.52033.34374.55315.05484.55313.34371.54633.41855.35116.09895.35113.41852.17482.17481.09581.09581.0968
H92.15231.08652.15363.40193.87163.39342.72943.41852.47714.29884.95704.29093.70182.47083.00904.08244.2193
H103.41022.15241.08542.15443.39743.87044.68515.35112.47712.48444.29644.95705.48984.74664.91425.63666.3388
H113.89653.40252.15611.08502.15613.40255.41156.09894.29882.48442.48444.29885.88575.88575.96585.96587.1748
H123.41023.87043.39742.15441.08542.15244.68515.35114.95704.29642.48442.47714.74665.48985.63664.91426.3388
H132.15233.39343.87163.40192.15361.08652.72943.41854.29094.95704.29882.47712.47083.70184.08243.00904.2193
H142.15013.38164.54934.82034.05272.67781.09752.17483.70185.48985.88574.74662.47081.77083.08272.52222.5174
H152.15012.67784.05274.82034.54933.38161.09752.17482.47084.74665.88575.48983.70181.77082.52223.08272.5174
H162.76573.13194.27964.97494.75343.75252.18151.09583.00904.91425.96585.63664.08243.08272.52221.77401.7819
H172.76573.75254.75344.97494.27963.13192.18151.09584.08245.63665.96584.91423.00902.52223.08271.77401.7819
H183.47744.29965.57636.11995.57634.29962.19231.09684.21936.33887.17486.33884.21932.51742.51741.78191.7819

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.751 C1 C2 H9 119.359
C1 C6 C5 120.751 C1 C6 H13 119.359
C1 C7 C8 110.782 C1 C7 H14 109.691
C1 C7 H15 109.691 C2 C1 C6 118.660
C2 C1 C7 120.646 C2 C3 C4 120.124
C2 C3 H10 119.861 C3 C2 H9 119.890
C3 C4 C5 119.592 C3 C4 H11 120.204
C4 C3 H10 120.015 C4 C5 C6 120.124
C4 C5 H12 120.015 C5 C4 H11 120.204
C5 C6 H13 119.890 C6 C1 C7 120.646
C6 C5 H12 119.861 C7 C8 H16 110.150
C7 C8 H17 110.150 C7 C8 H18 110.939
C8 C7 H14 109.526 C8 C7 H15 109.526
H14 C7 H15 107.563 H16 C8 H17 108.095
H16 C8 H18 108.719 H17 C8 H18 108.719
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 C -0.214      
3 C -0.214      
4 C -0.219      
5 C -0.214      
6 C -0.214      
7 C -0.489      
8 C -0.600      
9 H 0.208      
10 H 0.213      
11 H 0.213      
12 H 0.213      
13 H 0.208      
14 H 0.222      
15 H 0.222      
16 H 0.217      
17 H 0.217      
18 H 0.207      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.116 0.334 0.000 0.354
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.091 0.058 0.000
y 0.058 -43.828 0.000
z 0.000 0.000 -43.892
Traceless
 xyz
x -9.231 0.058 0.000
y 0.058 4.663 0.000
z 0.000 0.000 4.568
Polar
3z2-r29.136
x2-y2-9.263
xy0.058
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.376 0.639 0.000
y 0.639 14.738 0.000
z 0.000 0.000 12.138


<r2> (average value of r2) Å2
<r2> 289.420
(<r2>)1/2 17.012