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

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-349.733783
Energy at 298.15K-349.746065
HF Energy-349.733783
Nuclear repulsion energy409.287541
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/6-31G(2df,p)
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' 3132 3100 16.96      
2 A' 3110 3078 3.72      
3 A' 3093 3062 10.42      
4 A' 3053 3021 28.38      
5 A' 2971 2940 61.97      
6 A' 2967 2936 13.39      
7 A' 2955 2924 8.57      
8 A' 1603 1586 6.40      
9 A' 1482 1466 12.33      
10 A' 1459 1444 4.22      
11 A' 1442 1427 0.11      
12 A' 1429 1414 0.34      
13 A' 1355 1341 0.57      
14 A' 1325 1311 2.62      
15 A' 1262 1249 2.07      
16 A' 1196 1184 1.99      
17 A' 1166 1154 0.14      
18 A' 1077 1066 7.67      
19 A' 1033 1023 1.05      
20 A' 1027 1017 1.66      
21 A' 985 975 0.29      
22 A' 947 937 0.06      
23 A' 892 883 0.04      
24 A' 875 866 1.83      
25 A' 803 795 0.44      
26 A' 743 735 21.41      
27 A' 695 688 23.77      
28 A' 575 570 3.55      
29 A' 492 487 5.10      
30 A' 301 298 0.06      
31 A' 267 264 0.46      
32 A' 100 99 0.19      
33 A" 3118 3086 32.16      
34 A" 3094 3062 6.26      
35 A" 3045 3013 42.06      
36 A" 3014 2982 15.66      
37 A" 2991 2960 0.64      
38 A" 1583 1566 0.74      
39 A" 1448 1433 4.12      
40 A" 1437 1422 7.30      
41 A" 1353 1339 0.19      
42 A" 1302 1289 0.60      
43 A" 1276 1262 0.13      
44 A" 1207 1194 0.23      
45 A" 1145 1133 0.03      
46 A" 1090 1079 4.52      
47 A" 1036 1025 0.61      
48 A" 913 904 0.01      
49 A" 846 837 0.74      
50 A" 831 823 0.06      
51 A" 722 715 1.70      
52 A" 610 604 0.02      
53 A" 397 393 0.00      
54 A" 332 328 0.04      
55 A" 235 233 0.01      
56 A" 87 86 0.01      
57 A" 31 31 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 39475.3 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 39068.7 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/6-31G(2df,p)
ABC
0.14455 0.02826 0.02528

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.390 -0.747 1.207
C2 0.390 -2.147 1.210
C3 0.390 -2.853 0.000
C4 0.390 -2.147 -1.210
C5 0.390 -0.747 -1.207
C6 0.389 -0.026 0.000
C7 0.351 1.488 0.000
C8 -1.086 2.049 0.000
C9 -1.123 3.583 0.000
H10 0.396 -0.203 2.157
H11 0.395 -2.688 2.160
H12 0.394 -3.946 0.000
H13 0.395 -2.688 -2.160
H14 0.396 -0.203 -2.157
H15 0.887 1.872 0.885
H16 0.887 1.872 -0.885
H17 -1.623 1.660 -0.882
H18 -1.623 1.660 0.882
H19 -2.158 3.959 0.000
H20 -0.617 3.994 0.889
H21 -0.617 3.994 -0.889

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
C11.40012.42712.79302.41361.40562.54023.38484.74311.09492.16253.41903.88653.40732.68543.38903.76993.15495.48594.85685.2803
C21.40011.40072.41982.79302.44173.83134.61036.04902.16281.09352.16783.41333.88784.06314.56004.78814.31926.72606.23106.5673
C32.42711.40071.40072.42712.82664.34095.11986.61153.41702.16661.09302.16663.41704.83314.83315.01975.01977.27266.97706.9770
C42.79302.41981.40071.40012.44173.83134.61036.04903.88783.41332.16781.09352.16284.56004.06314.31924.78816.72606.56736.2310
C52.41362.79302.42711.40011.40562.54023.38484.74313.40733.88653.41902.16251.09493.38902.68543.15493.76995.48595.28034.8568
C61.40562.44172.82662.44171.40561.51472.54683.91362.16393.42803.91963.42802.16392.15332.15332.77012.77014.72984.23834.2383
C72.54023.83134.34093.83132.54021.51471.54282.56172.74064.70185.43404.70182.74061.10421.10422.16912.16913.52142.82942.8294
C83.38484.61035.11984.61033.38482.54681.54281.53423.45255.41356.17535.41353.45252.16992.16991.10391.10392.18962.18882.1888
C94.74316.04906.61156.04904.74313.91362.56171.53424.61426.80457.68046.80454.61422.78402.78402.17432.17431.10131.10251.1025
H101.09492.16283.41703.88783.40732.16392.74063.45254.61422.48554.32024.98144.31342.48243.71504.09663.02845.33784.49895.2831
H112.16251.09352.16663.41333.88653.42804.70185.41356.80452.48552.49984.32064.98144.76075.50595.67784.96127.44096.87647.4141
H123.41902.16781.09302.16783.41903.91965.43406.17537.68044.32022.49982.49984.32025.90595.90596.02276.02278.30648.05288.0528
H133.88653.41332.16661.09352.16253.42804.70185.41356.80454.98144.32062.49982.48555.50594.76074.96125.67787.44097.41416.8764
H143.40733.88783.41702.16281.09492.16392.74063.45254.61424.31344.98144.32022.48553.71502.48243.02844.09665.33785.28314.4989
H152.68544.06314.83314.56003.38902.15331.10422.16992.78402.48244.76075.90595.50593.71501.77093.07762.51933.79612.60013.1480
H163.38904.56004.83314.06312.68542.15331.10422.16992.78403.71505.50595.90594.76072.48241.77092.51933.07763.79613.14802.6001
H173.76994.78815.01974.31923.15492.77012.16911.10392.17434.09665.67786.02274.96123.02843.07762.51931.76452.51973.09802.5416
H183.15494.31925.01974.78813.76992.77012.16911.10392.17433.02844.96126.02275.67784.09662.51933.07761.76452.51972.54163.0980
H195.48596.72607.27266.72605.48594.72983.52142.18961.10135.33787.44098.30647.44095.33783.79613.79612.51972.51971.78001.7800
H204.85686.23106.97706.56735.28034.23832.82942.18881.10254.49896.87648.05287.41415.28312.60013.14803.09802.54161.78001.7784
H215.28036.56736.97706.23104.85684.23832.82942.18881.10255.28317.41418.05286.87644.49893.14802.60012.54163.09801.78001.7784

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 120.130 C1 C2 H11 119.771
C1 C6 C5 118.309 C1 C6 C7 120.835
C2 C1 C6 120.972 C2 C1 H10 119.695
C2 C3 C4 119.488 C2 C3 H12 120.256
C3 C2 H11 120.099 C3 C4 C5 120.130
C3 C4 H13 120.099 C4 C3 H12 120.256
C4 C5 C6 120.972 C4 C5 H14 119.695
C5 C4 H13 119.771 C5 C6 C7 120.835
C6 C1 H10 119.332 C6 C5 H14 119.332
C6 C7 C8 112.812 C6 C7 H15 109.614
C6 C7 H16 109.614 C7 C8 C9 112.720
C7 C8 H17 108.952 C7 C8 H18 108.952
C8 C7 H15 108.998 C8 C7 H16 108.998
C8 C9 H19 111.308 C8 C9 H20 111.173
C8 C9 H21 111.173 C9 C8 H17 109.943
C9 C8 H18 109.943 H15 C7 H16 106.612
H17 C8 H18 106.109 H19 C9 H20 107.745
H19 C9 H21 107.745 H20 C9 H21 107.517
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.197      
2 C -0.098      
3 C -0.126      
4 C -0.098      
5 C -0.197      
6 C 0.336      
7 C -0.332      
8 C -0.177      
9 C -0.412      
10 H 0.091      
11 H 0.098      
12 H 0.099      
13 H 0.098      
14 H 0.091      
15 H 0.111      
16 H 0.111      
17 H 0.113      
18 H 0.113      
19 H 0.125      
20 H 0.125      
21 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.130 0.345 0.000 0.368
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -57.653 -0.110 0.000
y -0.110 -51.842 0.000
z 0.000 0.000 -51.190
Traceless
 xyz
x -6.137 -0.110 0.000
y -0.110 2.579 0.000
z 0.000 0.000 3.557
Polar
3z2-r27.115
x2-y2-5.811
xy-0.110
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.756 -1.205 0.000
y -1.205 19.306 0.000
z 0.000 0.000 14.693


<r2> (average value of r2) Å2
<r2> 441.529
(<r2>)1/2 21.013