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

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-347.801656
Energy at 298.15K-347.814096
HF Energy-347.801656
Nuclear repulsion energy408.356226
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 13.82      
2 A' 3122 3094 4.47      
3 A' 3107 3079 8.02      
4 A' 3053 3025 29.10      
5 A' 2986 2959 40.03      
6 A' 2975 2948 25.45      
7 A' 2970 2943 5.55      
8 A' 1588 1573 5.56      
9 A' 1523 1509 7.92      
10 A' 1504 1491 2.93      
11 A' 1501 1487 13.69      
12 A' 1489 1475 3.45      
13 A' 1407 1395 4.43      
14 A' 1341 1329 2.07      
15 A' 1295 1283 0.59      
16 A' 1207 1196 0.16      
17 A' 1203 1192 0.20      
18 A' 1095 1085 17.36      
19 A' 1035 1026 3.13      
20 A' 1014 1005 0.49      
21 A' 1008 999 0.02      
22 A' 982 973 0.01      
23 A' 905 896 0.06      
24 A' 877 869 2.23      
25 A' 810 803 0.49      
26 A' 752 745 20.20      
27 A' 705 699 58.16      
28 A' 596 590 5.69      
29 A' 498 493 10.24      
30 A' 306 303 0.04      
31 A' 273 271 0.60      
32 A' 97 96 0.47      
33 A" 3131 3102 26.88      
34 A" 3108 3079 3.70      
35 A" 3053 3025 47.62      
36 A" 3028 3000 2.04      
37 A" 3006 2979 1.04      
38 A" 1572 1558 1.49      
39 A" 1517 1503 9.27      
40 A" 1463 1449 8.47      
41 A" 1361 1349 0.80      
42 A" 1328 1316 0.01      
43 A" 1316 1304 0.14      
44 A" 1240 1229 0.22      
45 A" 1195 1184 0.11      
46 A" 1117 1107 5.05      
47 A" 1058 1048 1.05      
48 A" 952 944 0.01      
49 A" 874 866 1.64      
50 A" 832 824 0.02      
51 A" 738 732 3.08      
52 A" 637 631 0.06      
53 A" 405 402 0.00      
54 A" 337 334 0.09      
55 A" 235 233 0.01      
56 A" 89 88 0.00      
57 A" 35 35 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 39997.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 39633.5 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
0.14185 0.02833 0.02535

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 0.399 -0.741 1.213
C2 0.399 -2.146 1.215
C3 0.399 -2.853 0.000
C4 0.399 -2.146 -1.215
C5 0.399 -0.741 -1.213
C6 0.401 -0.021 0.000
C7 0.356 1.500 0.000
C8 -1.102 2.032 0.000
C9 -1.155 3.575 0.000
H10 0.403 -0.194 2.162
H11 0.403 -2.688 2.165
H12 0.402 -3.946 0.000
H13 0.403 -2.688 -2.165
H14 0.403 -0.194 -2.162
H15 0.884 1.890 0.891
H16 0.884 1.890 -0.891
H17 -1.628 1.634 -0.888
H18 -1.628 1.634 0.888
H19 -2.199 3.935 0.000
H20 -0.650 3.985 0.894
H21 -0.650 3.985 -0.894

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
C11.40532.43652.80602.42671.41092.54873.37814.74441.09472.16743.42763.89923.41922.69443.40373.76333.13905.48444.85105.2791
C21.40531.40632.43082.80602.44843.84374.60266.05132.16911.09332.17223.42343.90074.07804.57854.77704.30166.72306.22816.5676
C32.43651.40631.40632.43652.83294.35405.11076.61343.42722.17121.09282.17123.42724.85094.85095.00335.00337.26816.97566.9756
C42.80602.43081.40631.40532.44843.84374.60266.05133.90073.42342.17221.09332.16914.57854.07804.30164.77706.72306.56766.2281
C52.42672.80602.43651.40531.41092.54873.37814.74443.41923.89923.42762.16741.09473.40372.69443.13903.76335.48445.27914.8510
C61.41092.44842.83292.44841.41091.52152.54373.91752.16893.43533.92583.43532.16892.16292.16292.76442.76444.73304.23624.2362
C72.54873.84374.35403.84372.54871.52151.55102.56612.74734.71495.44684.71492.74731.10701.10702.17722.17723.52842.82542.8254
C83.37814.60265.11074.60263.37812.54371.55101.54373.44895.40626.16445.40623.44892.18102.18101.10631.10632.19632.19432.1943
C94.74446.05136.61346.05134.74443.91752.56611.54374.61606.80697.68056.80694.61602.79102.79102.18612.18611.10401.10511.1051
H101.09472.16913.42723.90073.41922.16892.74733.44894.61602.49374.33044.99404.32392.48813.72794.09513.01525.33784.49245.2831
H112.16741.09332.17123.42343.89923.43534.71495.40626.80692.49372.50404.32974.99404.77635.52545.66754.94307.43726.87387.4154
H123.42762.17221.09282.17223.42763.92585.44686.16447.68054.33042.50402.50404.33045.92385.92386.00396.00398.29898.05028.0502
H133.89923.42342.17121.09332.16743.43534.71495.40626.80694.99404.32972.50402.49375.52544.77634.94305.66757.43727.41546.8738
H143.41923.90073.42722.16911.09472.16892.74733.44894.61604.32394.99404.33042.49373.72792.48813.01524.09515.33785.28314.4924
H152.69444.07804.85094.57853.40372.16291.10702.18102.79102.48814.77635.92385.52543.72791.78233.08882.52513.80492.59643.1508
H163.40374.57854.85094.07802.69442.16291.10702.18102.79103.72795.52545.92384.77632.48811.78232.52513.08883.80493.15082.5964
H173.76334.77705.00334.30163.13902.76442.17721.10632.18614.09515.66756.00394.94303.01523.08882.52511.77572.53133.10732.5459
H183.13904.30165.00334.77703.76332.76442.17721.10632.18613.01524.94306.00395.66754.09512.52513.08881.77572.53132.54593.1073
H195.48446.72307.26816.72305.48444.73303.52842.19631.10405.33787.43728.29897.43725.33783.80493.80492.53132.53131.78841.7884
H204.85106.22816.97566.56765.27914.23622.82542.19431.10514.49246.87388.05027.41545.28312.59643.15083.10732.54591.78841.7874
H215.27916.56766.97566.22814.85104.23622.82542.19431.10515.28317.41548.05026.87384.49243.15082.59642.54593.10731.78841.7874

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 120.123 C1 C2 H11 119.803
C1 C6 C5 118.624 C1 C6 C7 120.670
C2 C1 C6 120.771 C2 C1 H10 119.856
C2 C3 C4 119.588 C2 C3 H12 120.206
C3 C2 H11 120.074 C3 C4 C5 120.123
C3 C4 H13 120.074 C4 C3 H12 120.206
C4 C5 C6 120.771 C4 C5 H14 119.856
C5 C4 H13 119.803 C5 C6 C7 120.670
C6 C1 H10 119.372 C6 C5 H14 119.372
C6 C7 C8 111.757 C6 C7 H15 109.741
C6 C7 H16 109.741 C7 C8 C9 112.031
C7 C8 H17 108.885 C7 C8 H18 108.885
C8 C7 H15 109.134 C8 C7 H16 109.134
C8 C9 H19 111.006 C8 C9 H20 110.787
C8 C9 H21 110.787 C9 C8 H17 110.070
C9 C8 H18 110.070 H15 C7 H16 107.222
H17 C8 H18 106.746 H19 C9 H20 108.102
H19 C9 H21 108.102 H20 C9 H21 107.938
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 -0.197      
2 C -0.197      
3 C -0.199      
4 C -0.197      
5 C -0.197      
6 C 0.034      
7 C -0.456      
8 C -0.393      
9 C -0.597      
10 H 0.188      
11 H 0.194      
12 H 0.194      
13 H 0.194      
14 H 0.188      
15 H 0.208      
16 H 0.208      
17 H 0.210      
18 H 0.210      
19 H 0.204      
20 H 0.200      
21 H 0.200      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.173 0.376 0.000 0.414
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -59.571 -0.172 0.000
y -0.172 -51.127 0.000
z 0.000 0.000 -50.717
Traceless
 xyz
x -8.649 -0.172 0.000
y -0.172 4.017 0.000
z 0.000 0.000 4.632
Polar
3z2-r29.264
x2-y2-8.444
xy-0.172
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.958 -1.103 0.000
y -1.103 17.690 0.000
z 0.000 0.000 13.637


<r2> (average value of r2) Å2
<r2> 441.299
(<r2>)1/2 21.007