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All results from a given calculation for C9H12 (n-propyl benzene)

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-349.763725
Energy at 298.15K-349.776317
HF Energy-349.763725
Nuclear repulsion energy411.444526
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3235 3083 18.46      
2 A' 3213 3062 4.64      
3 A' 3197 3047 10.14      
4 A' 3149 3001 32.12      
5 A' 3069 2925 57.65      
6 A' 3064 2921 22.25      
7 A' 3056 2913 7.38      
8 A' 1692 1613 6.22      
9 A' 1556 1483 13.45      
10 A' 1535 1463 6.71      
11 A' 1520 1448 0.29      
12 A' 1510 1439 0.40      
13 A' 1435 1368 2.18      
14 A' 1403 1337 1.24      
15 A' 1324 1262 1.30      
16 A' 1246 1188 0.60      
17 A' 1216 1159 0.13      
18 A' 1130 1077 9.01      
19 A' 1076 1025 0.96      
20 A' 1069 1019 2.03      
21 A' 1022 974 0.31      
22 A' 1001 954 0.04      
23 A' 933 889 0.08      
24 A' 914 871 2.57      
25 A' 834 795 0.50      
26 A' 768 732 30.52      
27 A' 718 685 29.91      
28 A' 598 570 4.28      
29 A' 510 486 6.60      
30 A' 312 297 0.04      
31 A' 279 266 0.61      
32 A' 104 99 0.27      
33 A" 3222 3071 34.62      
34 A" 3198 3048 6.15      
35 A" 3143 2995 49.65      
36 A" 3115 2969 14.08      
37 A" 3093 2948 0.95      
38 A" 1670 1592 1.04      
39 A" 1525 1454 6.77      
40 A" 1509 1438 7.34      
41 A" 1391 1325 0.13      
42 A" 1369 1305 0.47      
43 A" 1335 1272 0.21      
44 A" 1263 1204 0.27      
45 A" 1193 1137 0.03      
46 A" 1137 1084 4.97      
47 A" 1084 1033 0.81      
48 A" 973 928 0.01      
49 A" 883 842 0.91      
50 A" 863 823 0.04      
51 A" 750 715 1.80      
52 A" 635 605 0.03      
53 A" 416 396 0.00      
54 A" 344 328 0.05      
55 A" 245 234 0.01      
56 A" 90 86 0.01      
57 A" 33 31 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 41081.0 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 39154.3 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 PBE1PBE/6-31G**
ABC
0.14612 0.02855 0.02554

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.389 -0.741 1.201
C2 0.389 -2.134 1.204
C3 0.389 -2.837 0.000
C4 0.389 -2.134 -1.204
C5 0.389 -0.741 -1.201
C6 0.389 -0.025 0.000
C7 0.347 1.482 0.000
C8 -1.082 2.035 0.000
C9 -1.119 3.559 0.000
H10 0.394 -0.200 2.145
H11 0.394 -2.672 2.149
H12 0.393 -3.924 0.000
H13 0.394 -2.672 -2.149
H14 0.394 -0.200 -2.145
H15 0.879 1.866 0.881
H16 0.879 1.866 -0.881
H17 -1.615 1.648 -0.878
H18 -1.615 1.648 0.878
H19 -2.149 3.931 0.000
H20 -0.615 3.966 0.885
H21 -0.615 3.966 -0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21
C11.39302.41472.77872.40131.39822.52753.36384.71291.08892.15133.40123.86633.38962.67233.37203.74803.13535.45154.82425.2462
C21.39301.39352.40742.77872.42883.81194.58236.01172.15131.08762.15653.39553.86764.04324.53734.76004.29296.68466.19126.5262
C32.41471.39351.39352.41472.81164.31895.08876.57103.39902.15521.08722.15523.39904.80924.80924.98974.98977.22806.93336.9333
C42.77872.40741.39351.39302.42883.81194.58236.01173.86763.39552.15651.08762.15134.53734.04324.29294.76006.68466.52626.1912
C52.40132.77872.41471.39301.39822.52753.36384.71293.38963.86633.40122.15131.08893.37202.67233.13533.74805.45155.24624.8242
C61.39822.42882.81162.42881.39821.50782.53153.88852.15263.40993.89883.40992.15262.14262.14262.75452.75454.70054.20994.2099
C72.52753.81194.31893.81192.52751.50781.53272.54222.72684.67785.40614.67782.72681.09811.09812.15632.15633.49702.80732.8073
C83.36384.58235.08874.58233.36382.53151.53271.52483.43195.38116.13855.38113.43192.15682.15681.09771.09772.17582.17532.1753
C94.71296.01176.57106.01174.71293.88852.54221.52484.58526.76317.63416.76314.58522.76312.76312.16132.16131.09551.09651.0965
H101.08892.15133.39903.86763.38962.15262.72683.43194.58522.47234.29744.95524.29092.47073.69614.07353.00965.30454.46855.2500
H112.15131.08762.15523.39553.86633.40994.67785.38116.76312.47232.48674.29794.95524.73725.47825.64494.93117.39556.83317.3687
H123.40122.15651.08722.15653.40123.89885.40616.13857.63414.29742.48672.48674.29745.87645.87645.98715.98718.25598.00338.0033
H133.86633.39552.15521.08762.15133.40994.67785.38116.76314.95524.29792.48672.47235.47824.73724.93115.64497.39557.36876.8331
H143.38963.86763.39902.15131.08892.15262.72683.43194.58524.29094.95524.29742.47233.69612.47073.00964.07355.30455.25004.4685
H152.67234.04324.80924.53733.37202.14261.09812.15682.76312.47074.73725.87645.47823.69611.76113.05992.50403.76992.57803.1246
H163.37204.53734.80924.04322.67232.14261.09812.15682.76313.69615.47825.87644.73722.47071.76112.50403.05993.76993.12462.5780
H173.74804.76004.98974.29293.13532.75452.15631.09772.16134.07355.64495.98714.93113.00963.05992.50401.75632.50403.07962.5250
H183.13534.29294.98974.76003.74802.75452.15631.09772.16133.00964.93115.98715.64494.07352.50403.05991.75632.50402.52503.0796
H195.45156.68467.22806.68465.45154.70053.49702.17581.09555.30457.39558.25597.39555.30453.76993.76992.50402.50401.77121.7712
H204.82426.19126.93336.52625.24624.20992.80732.17531.09654.46856.83318.00337.36875.25002.57803.12463.07962.52501.77121.7700
H215.24626.52626.93336.19124.82424.20992.80732.17531.09655.25007.36878.00336.83314.46853.12462.57802.52503.07961.77121.7700

picture of n-propyl benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.126 C1 C2 H11 119.776
C1 C6 C5 118.343 C1 C6 C7 120.815
C2 C1 C6 120.955 C2 C1 H10 119.682
C2 C3 C4 119.494 C2 C3 H12 120.253
C3 C2 H11 120.097 C3 C4 C5 120.126
C3 C4 H13 120.097 C4 C3 H12 120.253
C4 C5 C6 120.955 C4 C5 H14 119.682
C5 C4 H13 119.776 C5 C6 C7 120.815
C6 C1 H10 119.363 C6 C5 H14 119.363
C6 C7 C8 112.735 C6 C7 H15 109.620
C6 C7 H16 109.620 C7 C8 C9 112.504
C7 C8 H17 109.004 C7 C8 H18 109.004
C8 C7 H15 109.024 C8 C7 H16 109.024
C8 C9 H19 111.217 C8 C9 H20 111.117
C8 C9 H21 111.117 C9 C8 H17 109.933
C9 C8 H18 109.933 H15 C7 H16 106.630
H17 C8 H18 106.262 H19 C9 H20 107.802
H19 C9 H21 107.802 H20 C9 H21 107.619
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.206      
2 C -0.169      
3 C -0.172      
4 C -0.169      
5 C -0.206      
6 C 0.133      
7 C -0.399      
8 C -0.312      
9 C -0.521      
10 H 0.161      
11 H 0.167      
12 H 0.166      
13 H 0.167      
14 H 0.161      
15 H 0.172      
16 H 0.172      
17 H 0.171      
18 H 0.171      
19 H 0.175      
20 H 0.170      
21 H 0.170      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.125 0.302 0.000 0.326
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -58.186 -0.113 0.000
y -0.113 -51.273 0.000
z 0.000 0.000 -50.577
Traceless
 xyz
x -7.261 -0.113 0.000
y -0.113 3.109 0.000
z 0.000 0.000 4.153
Polar
3z2-r28.305
x2-y2-6.913
xy-0.113
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.745 -1.001 0.000
y -1.001 17.859 0.000
z 0.000 0.000 13.981


<r2> (average value of r2) Å2
<r2> 437.196
(<r2>)1/2 20.909