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All results from a given calculation for C6H5CH2CH3 (Ethylbenzene)

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-308.756521
Energy at 298.15K-308.766835
Nuclear repulsion energy337.834684
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/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' 3146 3118 13.07      
2 A' 3122 3094 4.41      
3 A' 3107 3079 7.71      
4 A' 3058 3030 35.55      
5 A' 2984 2957 22.88      
6 A' 2982 2955 25.84      
7 A' 1588 1573 4.56      
8 A' 1523 1509 6.31      
9 A' 1503 1489 8.86      
10 A' 1492 1479 8.42      
11 A' 1408 1396 5.11      
12 A' 1320 1308 0.65      
13 A' 1207 1196 0.24      
14 A' 1203 1192 0.08      
15 A' 1069 1060 16.56      
16 A' 1035 1026 3.00      
17 A' 1011 1002 0.27      
18 A' 982 973 0.07      
19 A' 952 943 1.17      
20 A' 896 888 1.63      
21 A' 773 766 4.70      
22 A' 757 750 17.44      
23 A' 705 699 57.24      
24 A' 561 556 8.62      
25 A' 495 490 6.95      
26 A' 305 302 0.19      
27 A' 130 129 1.01      
28 A" 3131 3103 26.95      
29 A" 3107 3079 4.11      
30 A" 3067 3039 23.34      
31 A" 3025 2997 4.25      
32 A" 1572 1558 0.98      
33 A" 1515 1502 11.63      
34 A" 1463 1450 8.24      
35 A" 1361 1349 0.67      
36 A" 1327 1315 0.00      
37 A" 1261 1250 0.51      
38 A" 1195 1184 0.09      
39 A" 1113 1103 2.00      
40 A" 1046 1036 4.04      
41 A" 953 944 0.01      
42 A" 833 825 0.02      
43 A" 786 779 1.73      
44 A" 637 631 0.09      
45 A" 405 402 0.00      
46 A" 348 345 0.11      
47 A" 224 222 0.02      
48 A" 42 42 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 33862.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 33554.2 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/3-21G
ABC
0.14762 0.04863 0.04034

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.249 0.505 0.000
C2 -0.248 -0.214 1.213
C3 -0.248 -1.618 1.214
C4 -0.247 -2.324 0.000
C5 -0.248 -1.618 -1.214
C6 -0.248 -0.214 -1.213
C7 -0.186 2.026 0.000
C8 1.289 2.514 0.000
H9 -0.252 0.335 2.160
H10 -0.252 -2.161 2.163
H11 -0.250 -3.417 0.000
H12 -0.252 -2.161 -2.163
H13 -0.252 0.335 -2.160
H14 -0.706 2.420 -0.893
H15 -0.706 2.420 0.893
H16 1.814 2.133 0.893
H17 1.814 2.133 -0.893
H18 1.340 3.617 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.40972.44602.82962.44601.40971.52192.52922.16653.43373.92253.43372.16652.16192.16192.77502.77503.4940
C21.40971.40422.43412.80402.42522.54763.35691.09482.16733.42543.89733.41683.40312.69273.13973.76704.3205
C32.44601.40421.40502.42902.80403.84144.57222.16981.09342.17093.42113.89884.57804.07694.29204.77095.6037
C42.82962.43411.40501.40502.43414.35065.07583.42602.16931.09302.16933.42604.84974.84974.99114.99116.1497
C52.44602.80402.42901.40501.40423.84144.57223.89883.42112.17091.09342.16984.07694.57804.77094.29205.6037
C61.40972.42522.80402.43411.40422.54763.35693.41683.89733.42542.16731.09482.69273.40313.76703.13974.3205
C71.52192.54763.84144.35063.84142.54761.55332.74374.71355.44364.71352.74371.10591.10592.19272.19272.2049
C82.52923.35694.57225.07584.57223.35691.55333.43315.37676.12735.37673.43312.18732.18731.10381.10381.1046
H92.16651.09482.16983.42603.89883.41682.74373.43312.49654.32964.99214.31973.72452.48183.01754.10164.2395
H103.43372.16731.09342.16933.42113.89734.71355.37672.49652.50134.32634.99215.52614.77624.93175.66146.3723
H113.92253.42542.17091.09302.17093.42545.44366.12734.32962.50132.50134.32965.92315.92315.98865.98867.2119
H123.43373.89733.42112.16931.09342.16734.71355.37674.99214.32632.50132.49654.77625.52615.66144.93176.3723
H132.16653.41683.89883.42602.16981.09482.74373.43314.31974.99214.32962.49652.48183.72454.10163.01754.2395
H142.16193.40314.57804.84974.07692.69271.10592.18733.72455.52615.92314.77622.48181.78553.10172.53592.5331
H152.16192.69274.07694.84974.57803.40311.10592.18732.48184.77625.92315.52613.72451.78552.53593.10172.5331
H162.77503.13974.29204.99114.77093.76702.19271.10383.01754.93175.98865.66144.10163.10172.53591.78671.7957
H172.77503.76704.77094.99114.29203.13972.19271.10384.10165.66145.98864.93173.01752.53593.10171.78671.7957
H183.49404.32055.60376.14975.60374.32052.20491.10464.23956.37237.21196.37234.23952.53312.53311.79571.7957

picture of Ethylbenzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.743 C1 C2 H9 119.246
C1 C6 C5 120.743 C1 C6 H13 119.246
C1 C7 C8 110.657 C1 C7 H14 109.696
C1 C7 H15 109.696 C2 C1 C6 118.669
C2 C1 C7 120.635 C2 C3 C4 120.107
C2 C3 H10 119.887 C3 C2 H9 120.010
C3 C4 C5 119.631 C3 C4 H11 120.184
C4 C3 H10 120.006 C4 C5 C6 120.107
C4 C5 H12 120.006 C5 C4 H11 120.184
C5 C6 H13 120.010 C6 C1 C7 120.635
C6 C5 H12 119.887 C7 C8 H16 110.071
C7 C8 H17 110.071 C7 C8 H18 110.980
C8 C7 H14 109.535 C8 C7 H15 109.535
H14 C7 H15 107.666 H16 C8 H17 108.060
H16 C8 H18 108.796 H17 C8 H18 108.796
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 C -0.197      
3 C -0.197      
4 C -0.200      
5 C -0.197      
6 C -0.197      
7 C -0.477      
8 C -0.579      
9 H 0.188      
10 H 0.195      
11 H 0.194      
12 H 0.195      
13 H 0.188      
14 H 0.212      
15 H 0.212      
16 H 0.210      
17 H 0.210      
18 H 0.200      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.123 0.342 0.000 0.364
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.091 0.088 0.000
y 0.088 -44.030 0.000
z 0.000 0.000 -44.174
Traceless
 xyz
x -8.988 0.088 0.000
y 0.088 4.602 0.000
z 0.000 0.000 4.386
Polar
3z2-r28.773
x2-y2-9.060
xy0.088
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.516 0.710 0.000
y 0.710 15.248 0.000
z 0.000 0.000 12.412


<r2> (average value of r2) Å2
<r2> 292.294
(<r2>)1/2 17.097