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 C9H12 (n-propyl benzene)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-350.223971
Energy at 298.15K-350.236507
HF Energy-350.223971
Nuclear repulsion energy409.640947
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 B3LYP/6-31+G**
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' 3204 3089 18.53      
2 A' 3182 3069 5.82      
3 A' 3168 3054 11.09      
4 A' 3103 2992 40.14      
5 A' 3034 2926 71.16      
6 A' 3030 2921 28.85      
7 A' 3023 2915 4.11      
8 A' 1652 1593 8.08      
9 A' 1532 1477 11.01      
10 A' 1513 1459 7.39      
11 A' 1499 1445 0.32      
12 A' 1491 1438 0.51      
13 A' 1415 1365 1.88      
14 A' 1381 1332 1.31      
15 A' 1312 1265 1.71      
16 A' 1224 1180 0.86      
17 A' 1204 1161 0.18      
18 A' 1109 1069 6.73      
19 A' 1052 1015 4.67      
20 A' 1040 1003 0.23      
21 A' 1014 978 0.05      
22 A' 999 963 0.03      
23 A' 928 894 0.47      
24 A' 895 863 1.36      
25 A' 823 794 1.09      
26 A' 759 732 38.55      
27 A' 711 686 39.93      
28 A' 596 575 4.60      
29 A' 506 488 9.60      
30 A' 309 298 0.01      
31 A' 278 268 0.72      
32 A' 104 100 0.35      
33 A" 3191 3077 38.42      
34 A" 3169 3055 6.64      
35 A" 3098 2988 65.50      
36 A" 3074 2964 12.18      
37 A" 3053 2944 0.60      
38 A" 1630 1572 0.84      
39 A" 1503 1449 7.41      
40 A" 1487 1433 5.03      
41 A" 1361 1312 0.36      
42 A" 1356 1307 0.19      
43 A" 1319 1272 0.43      
44 A" 1248 1203 0.33      
45 A" 1183 1140 0.03      
46 A" 1125 1084 4.54      
47 A" 1070 1032 1.78      
48 A" 978 943 0.00      
49 A" 877 845 0.71      
50 A" 855 825 0.04      
51 A" 745 719 1.11      
52 A" 634 612 0.02      
53 A" 415 400 0.00      
54 A" 344 332 0.08      
55 A" 240 232 0.01      
56 A" 85 82 0.02      
57 A" 37 35 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 40583.5 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 39130.6 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 B3LYP/6-31+G**
ABC
0.14564 0.02818 0.02521

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.389 -0.751 1.205
C2 0.389 -2.150 1.208
C3 0.389 -2.855 0.000
C4 0.389 -2.150 -1.208
C5 0.389 -0.751 -1.205
C6 0.387 -0.030 0.000
C7 0.347 1.485 0.000
C8 -1.086 2.059 0.000
C9 -1.115 3.592 0.000
H10 0.396 -0.212 2.150
H11 0.395 -2.688 2.153
H12 0.393 -3.942 0.000
H13 0.395 -2.688 -2.153
H14 0.396 -0.212 -2.150
H15 0.882 1.866 0.880
H16 0.882 1.866 -0.880
H17 -1.624 1.677 -0.877
H18 -1.624 1.677 0.877
H19 -2.142 3.971 0.000
H20 -0.610 3.998 0.885
H21 -0.610 3.998 -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
C11.39862.42442.78892.40951.40402.54103.39464.75191.08812.15593.41033.87593.39782.68283.38183.77973.17145.49204.86415.2842
C21.39861.39892.41622.78892.43973.83124.62046.05772.15451.08702.16103.40363.87704.05914.55274.80114.33706.73326.23736.5711
C32.42441.39891.39892.42442.82494.34095.13036.62053.40702.15931.08662.15933.40704.82744.82745.03635.03637.28056.98216.9821
C42.78892.41621.39891.39862.43973.83124.62046.05773.87703.40362.16101.08702.15454.55274.05914.33704.80116.73326.57116.2373
C52.40952.78892.42441.39861.40402.54103.39464.75193.39783.87593.41032.15591.08813.38182.68283.17143.77975.49205.28424.8641
C61.40402.43972.82492.43971.40401.51642.55603.92162.15763.41993.91143.41992.15762.14802.14802.78012.78014.73384.24344.2434
C72.54103.83124.34093.83122.54101.51641.54302.56402.73994.69605.42754.69602.73991.09761.09762.16542.16543.51762.83052.8305
C83.39464.62045.13034.62043.39462.55601.54301.53413.46035.41796.17995.41793.46032.16422.16421.09741.09742.18492.18442.1844
C94.75196.05776.62056.05774.75193.92162.56401.53414.62366.80827.68356.80824.62362.78232.78232.16712.16711.09541.09641.0964
H101.08812.15453.40703.87703.39782.15762.73993.46034.62362.47544.30494.96404.29992.48363.70574.10043.04415.34454.51005.2866
H112.15591.08702.15933.40363.87593.41994.69605.41796.80822.47542.49154.30564.96404.75315.49235.68424.97537.44386.87897.4119
H123.41032.16101.08662.16103.41033.91145.42756.17997.68354.30492.49152.49154.30495.89415.89416.03416.03418.30918.05198.0519
H133.87593.40362.15931.08702.15593.41994.69605.41796.80824.96404.30562.49152.47545.49234.75314.97535.68427.44387.41196.8789
H143.39783.87703.40702.15451.08812.15762.73993.46034.62364.29994.96404.30492.47543.70572.48363.04414.10045.34455.28664.5100
H152.68284.05914.82744.55273.38182.14801.09762.16422.78232.48364.75315.89415.49233.70571.75913.06602.51273.78862.60263.1442
H163.38184.55274.82744.05912.68282.14801.09762.16422.78233.70575.49235.89414.75312.48361.75912.51273.06603.78863.14422.6026
H173.77974.80115.03634.33703.17142.78012.16541.09742.16714.10045.68426.03414.97533.04413.06602.51271.75502.51003.08532.5326
H183.17144.33705.03634.80113.77972.78012.16541.09742.16713.04414.97536.03415.68424.10042.51273.06601.75502.51002.53263.0853
H195.49206.73327.28056.73325.49204.73383.51762.18491.09545.34457.44388.30917.44385.34453.78863.78862.51002.51001.76981.7698
H204.86416.23736.98216.57115.28424.24342.83052.18441.09644.51006.87898.05197.41195.28662.60263.14423.08532.53261.76981.7693
H215.28426.57116.98216.23734.86414.24342.83052.18441.09645.28667.41198.05196.87894.51003.14422.60262.53263.08531.76981.7693

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 120.139 C1 C2 H11 119.780
C1 C6 C5 118.203 C1 C6 C7 120.889
C2 C1 C6 121.034 C2 C1 H10 119.564
C2 C3 C4 119.450 C2 C3 H12 120.275
C3 C2 H11 120.080 C3 C4 C5 120.139
C3 C4 H13 120.080 C4 C3 H12 120.275
C4 C5 C6 121.034 C4 C5 H14 119.564
C5 C4 H13 119.780 C5 C6 C7 120.889
C6 C1 H10 119.401 C6 C5 H14 119.401
C6 C7 C8 113.321 C6 C7 H15 109.471
C6 C7 H16 109.471 C7 C8 C9 112.870
C7 C8 H17 109.018 C7 C8 H18 109.018
C8 C7 H15 108.916 C8 C7 H16 108.916
C8 C9 H19 111.296 C8 C9 H20 111.196
C8 C9 H21 111.196 C9 C8 H17 109.763
C9 C8 H18 109.763 H15 C7 H16 106.518
H17 C8 H18 106.184 H19 C9 H20 107.697
H19 C9 H21 107.697 H20 C9 H21 107.578
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.123      
2 C -0.195      
3 C -0.066      
4 C -0.195      
5 C -0.123      
6 C 0.331      
7 C -0.473      
8 C -0.145      
9 C -0.602      
10 H 0.114      
11 H 0.123      
12 H 0.122      
13 H 0.123      
14 H 0.114      
15 H 0.136      
16 H 0.136      
17 H 0.143      
18 H 0.143      
19 H 0.146      
20 H 0.145      
21 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.155 0.391 0.000 0.421
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -60.172 -0.152 0.000
y -0.152 -53.455 0.000
z 0.000 0.000 -52.481
Traceless
 xyz
x -7.204 -0.152 0.000
y -0.152 2.871 0.000
z 0.000 0.000 4.333
Polar
3z2-r28.666
x2-y2-6.717
xy-0.152
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.926 -1.065 0.000
y -1.065 20.032 0.000
z 0.000 0.000 15.680


<r2> (average value of r2) Å2
<r2> 443.329
(<r2>)1/2 21.055