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: PBE1PBE/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 PBE1PBE/3-21G
 hartrees
Energy at 0K-347.855183
Energy at 298.15K-347.867919
HF Energy-347.855183
Nuclear repulsion energy411.457391
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/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' 3240 3112 11.17      
2 A' 3216 3088 3.75      
3 A' 3201 3074 6.94      
4 A' 3141 3017 26.70      
5 A' 3076 2954 35.18      
6 A' 3062 2941 19.24      
7 A' 3060 2938 10.85      
8 A' 1658 1592 5.74      
9 A' 1565 1503 9.67      
10 A' 1555 1494 17.56      
11 A' 1548 1486 4.35      
12 A' 1535 1475 2.00      
13 A' 1455 1397 7.09      
14 A' 1392 1336 1.51      
15 A' 1341 1288 1.38      
16 A' 1252 1203 0.00      
17 A' 1242 1193 0.13      
18 A' 1136 1091 17.28      
19 A' 1072 1029 3.40      
20 A' 1052 1010 0.37      
21 A' 1045 1004 0.00      
22 A' 1042 1000 0.01      
23 A' 955 917 0.36      
24 A' 912 875 2.11      
25 A' 842 808 1.17      
26 A' 786 755 26.55      
27 A' 737 708 62.33      
28 A' 618 593 6.20      
29 A' 519 498 11.28      
30 A' 317 305 0.03      
31 A' 284 273 0.64      
32 A' 101 97 0.52      
33 A" 3225 3097 21.71      
34 A" 3201 3074 2.96      
35 A" 3143 3018 44.00      
36 A" 3119 2996 0.81      
37 A" 3099 2976 1.03      
38 A" 1641 1576 1.67      
39 A" 1561 1499 10.24      
40 A" 1515 1455 10.39      
41 A" 1407 1351 0.72      
42 A" 1364 1310 0.09      
43 A" 1353 1299 0.09      
44 A" 1279 1228 0.20      
45 A" 1232 1183 0.12      
46 A" 1154 1108 5.59      
47 A" 1094 1051 1.08      
48 A" 1012 972 0.02      
49 A" 903 867 1.63      
50 A" 877 842 0.03      
51 A" 760 730 3.27      
52 A" 660 634 0.07      
53 A" 423 406 0.00      
54 A" 349 335 0.11      
55 A" 240 231 0.01      
56 A" 91 88 0.00      
57 A" 37 35 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 41344.6 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 39707.3 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/3-21G
ABC
0.14392 0.02876 0.02575

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.398 -0.732 1.204
C2 0.398 -2.126 1.206
C3 0.398 -2.828 0.000
C4 0.398 -2.126 -1.206
C5 0.398 -0.732 -1.204
C6 0.402 -0.019 0.000
C7 0.354 1.492 0.000
C8 -1.097 2.007 0.000
C9 -1.155 3.540 0.000
H10 0.401 -0.189 2.146
H11 0.401 -2.664 2.149
H12 0.401 -3.913 0.000
H13 0.401 -2.664 -2.149
H14 0.401 -0.189 -2.146
H15 0.876 1.880 0.886
H16 0.876 1.880 -0.886
H17 -1.616 1.609 -0.883
H18 -1.616 1.609 0.883
H19 -2.194 3.892 0.000
H20 -0.656 3.947 0.888
H21 -0.656 3.947 -0.888

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
C11.39462.41782.78452.40811.39942.52893.34444.70201.08692.15123.40183.86993.39342.67413.37913.72673.10435.43574.80675.2328
C21.39461.39552.41212.78452.42843.81394.55775.99762.15331.08542.15593.39773.87144.04744.54494.72964.25576.66286.17266.5104
C32.41781.39551.39552.41782.80974.32025.06106.55473.40162.15501.08502.15503.40164.81484.81484.95204.95207.20286.91446.9144
C42.78452.41211.39551.39462.42843.81394.55775.99763.87143.39772.15591.08542.15334.54494.04744.25574.72966.66286.51046.1726
C52.40812.78452.41781.39461.39942.52893.34444.70203.39343.86993.40182.15121.08693.37912.67413.10433.72675.43575.23284.8067
C61.39942.42842.80972.42841.39941.51102.51953.88402.15243.40843.89473.40842.15242.14842.14842.73802.73804.69344.19954.1995
C72.52893.81394.32023.81392.52891.51101.53992.54432.72584.67895.40524.67892.72581.09931.09932.16192.16193.50062.79992.7999
C83.34444.55775.06104.55773.34442.51951.53991.53393.41605.35556.10665.35553.41602.16682.16681.09861.09862.18102.17932.1793
C94.70205.99766.55475.99764.70203.88402.54431.53394.57486.74767.61376.74764.57482.76902.76902.17242.17241.09651.09761.0976
H101.08692.15333.40163.87143.39342.15242.72583.41604.57482.47564.29844.95684.29132.46823.70094.05842.98235.29064.45045.2372
H112.15121.08542.15503.39773.86993.40844.67895.35556.74762.47562.48534.29744.95684.74055.48525.61404.89177.37136.81337.3521
H123.40182.15591.08502.15593.40183.89475.40526.10667.61374.29842.48532.48534.29845.88005.88005.94455.94458.22517.98097.9809
H133.86993.39772.15501.08542.15123.40844.67895.35556.74764.95684.29742.48532.47565.48524.74054.89175.61407.37137.35216.8133
H143.39343.87143.40162.15331.08692.15242.72583.41604.57484.29134.95684.29842.47563.70092.46822.98234.05845.29065.23724.4504
H152.67414.04744.81484.54493.37912.14841.09932.16682.76902.46824.74055.88005.48523.70091.77223.06802.50673.77602.57313.1254
H163.37914.54494.81484.04742.67412.14841.09932.16682.76903.70095.48525.88004.74052.46821.77222.50673.06803.77603.12542.5731
H173.72674.72964.95204.25573.10432.73802.16191.09862.17244.05845.61405.94454.89172.98233.06802.50671.76552.51533.08662.5280
H183.10434.25574.95204.72963.72672.73802.16191.09862.17242.98234.89175.94455.61404.05842.50673.06801.76552.51532.52803.0866
H195.43576.66287.20286.66285.43574.69343.50062.18101.09655.29067.37138.22517.37135.29063.77603.77602.51532.51531.77701.7770
H204.80676.17266.91446.51045.23284.19952.79992.17931.09764.45046.81337.98097.35215.23722.57313.12543.08662.52801.77701.7761
H215.23286.51046.91446.17264.80674.19952.79992.17931.09765.23727.35217.98096.81334.45043.12542.57312.52803.08661.77701.7761

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 120.121 C1 C2 H11 119.801
C1 C6 C5 118.728 C1 C6 C7 120.614
C2 C1 C6 120.718 C2 C1 H10 119.887
C2 C3 C4 119.594 C2 C3 H12 120.203
C3 C2 H11 120.078 C3 C4 C5 120.121
C3 C4 H13 120.078 C4 C3 H12 120.203
C4 C5 C6 120.718 C4 C5 H14 119.887
C5 C4 H13 119.801 C5 C6 C7 120.614
C6 C1 H10 119.394 C6 C5 H14 119.394
C6 C7 C8 111.338 C6 C7 H15 109.772
C6 C7 H16 109.772 C7 C8 C9 111.732
C7 C8 H17 108.891 C7 C8 H18 108.891
C8 C7 H15 109.228 C8 C7 H16 109.228
C8 C9 H19 110.928 C8 C9 H20 110.722
C8 C9 H21 110.722 C9 C8 H17 110.125
C9 C8 H18 110.125 H15 C7 H16 107.416
H17 C8 H18 106.944 H19 C9 H20 108.173
H19 C9 H21 108.173 H20 C9 H21 108.014
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.216      
2 C -0.220      
3 C -0.226      
4 C -0.220      
5 C -0.216      
6 C 0.006      
7 C -0.474      
8 C -0.425      
9 C -0.631      
10 H 0.214      
11 H 0.220      
12 H 0.220      
13 H 0.220      
14 H 0.214      
15 H 0.223      
16 H 0.223      
17 H 0.224      
18 H 0.224      
19 H 0.216      
20 H 0.212      
21 H 0.212      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.169 0.349 0.000 0.388
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -59.756 -0.134 0.000
y -0.134 -51.019 0.000
z 0.000 0.000 -50.467
Traceless
 xyz
x -9.013 -0.134 0.000
y -0.134 4.093 0.000
z 0.000 0.000 4.920
Polar
3z2-r29.839
x2-y2-8.737
xy-0.134
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.761 -0.978 0.000
y -0.978 16.905 0.000
z 0.000 0.000 13.280


<r2> (average value of r2) Å2
<r2> 435.043
(<r2>)1/2 20.858