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 C6H12O2 (Hexanoic acid)

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 1A1
Energy calculated at PBEPBE/3-21G*
 hartrees
Energy at 0K-383.737955
Energy at 298.15K-383.751499
HF Energy-383.737955
Nuclear repulsion energy365.755354
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 3337 3182 2.23      
2 A 3052 2910 31.75      
3 A 3051 2910 78.57      
4 A 3045 2903 3.98      
5 A 3021 2881 3.06      
6 A 3010 2870 5.23      
7 A 2997 2858 27.91      
8 A 2988 2849 4.26      
9 A 2985 2846 2.28      
10 A 2976 2838 36.21      
11 A 2972 2834 15.68      
12 A 2955 2818 8.28      
13 A 1726 1645 139.55      
14 A 1525 1454 8.09      
15 A 1519 1448 9.60      
16 A 1510 1440 6.29      
17 A 1498 1429 0.63      
18 A 1492 1423 0.59      
19 A 1464 1396 21.63      
20 A 1411 1345 6.06      
21 A 1367 1304 26.70      
22 A 1358 1295 1.84      
23 A 1343 1281 27.11      
24 A 1335 1273 0.55      
25 A 1324 1263 0.04      
26 A 1302 1242 0.57      
27 A 1291 1231 0.14      
28 A 1252 1194 13.89      
29 A 1219 1162 0.01      
30 A 1131 1078 0.95      
31 A 1121 1069 39.34      
32 A 1064 1014 123.39      
33 A 1048 999 1.39      
34 A 1030 982 62.91      
35 A 986 940 49.52      
36 A 980 935 0.01      
37 A 903 861 3.90      
38 A 854 814 5.78      
39 A 838 799 1.46      
40 A 758 723 0.58      
41 A 724 690 16.11      
42 A 653 622 97.32      
43 A 600 573 17.27      
44 A 515 491 31.34      
45 A 490 467 31.82      
46 A 395 377 0.75      
47 A 297 283 2.57      
48 A 242 230 0.01      
49 A 220 210 1.98      
50 A 135 129 0.00      
51 A 122 116 0.17      
52 A 95 90 0.86      
53 A 59 56 0.00      
54 A 30 29 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 37806.5 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 36048.5 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
0.23595 0.02147 0.02005

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.089 -0.214 0.000
C2 2.738 0.536 -0.000
C3 1.535 -0.436 0.000
C4 0.182 0.307 -0.000
C5 -1.015 -0.660 0.000
C6 -2.328 0.097 0.000
O7 -3.398 -0.799 -0.000
O8 -2.480 1.325 -0.000
H9 4.938 0.492 -0.000
H10 4.175 -0.857 0.895
H11 4.175 -0.858 -0.894
H12 2.674 1.190 -0.891
H13 2.674 1.191 0.891
H14 1.598 -1.092 0.892
H15 1.598 -1.092 -0.892
H16 0.112 0.964 -0.887
H17 0.112 0.964 0.886
H18 -0.996 -1.322 0.887
H19 -0.996 -1.322 -0.887
H20 -4.240 -0.241 -0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.54552.56393.94245.12416.42547.51056.74711.10421.10531.10532.18422.18422.78802.78804.24154.24155.27955.27968.3294
C21.54551.54652.56683.93945.08556.28005.27732.20062.19212.19211.10741.10742.17832.17832.80422.80434.26394.26407.0212
C32.56391.54651.54382.56023.90024.94684.38413.52742.81872.81872.17612.17611.10891.10892.18412.18412.82442.82455.7784
C43.94242.56681.54381.53862.51873.74682.84964.76034.25434.25432.79032.79032.18112.18111.10601.10602.19672.19674.4553
C55.12413.93942.56021.53861.51612.38712.46716.06415.27015.27014.22234.22222.79482.79482.16722.16721.10681.10683.2519
C66.42545.08553.90022.51871.51611.39601.23697.27746.63336.63335.19715.19704.19844.19852.73782.73772.13952.13951.9412
O77.51056.28004.94683.74682.38711.39602.31458.43607.62587.62576.45156.45165.08385.08364.02754.02772.61392.61361.0103
O86.74715.27734.38412.84962.46711.23692.31457.46477.06017.06015.23165.23164.82344.82342.76332.76333.16173.16172.3558
H91.10422.20063.52744.76036.06417.27748.43607.46471.79031.79032.53182.53183.80293.80294.92934.92936.26836.26839.2075
H101.10532.19212.81874.25435.27016.63337.62587.06011.79031.78933.10412.53912.58723.14404.79504.45195.19125.48848.4845
H111.10532.19212.81874.25435.27016.63337.62577.06011.79031.78932.53913.10413.14402.58724.45194.79505.48845.19128.4844
H122.18421.10742.17612.79034.22235.19716.45155.23162.53183.10412.53911.78203.08942.52312.57123.12594.78954.44737.1161
H132.18421.10742.17612.79034.22225.19706.45165.23162.53182.53913.10411.78202.52313.08943.12582.57124.44734.78957.1163
H142.78802.17831.10892.18112.79484.19845.08384.82343.80292.58723.14403.08942.52311.78373.09792.53662.60403.15365.9669
H152.78802.17831.10892.18112.79484.19855.08364.82343.80293.14402.58722.52313.08941.78372.53663.09793.15352.60415.9667
H164.24152.80422.18411.10602.16722.73784.02752.76334.92934.79504.45192.57123.12583.09792.53661.77323.09852.54074.6022
H174.24152.80432.18411.10602.16722.73774.02772.76334.92934.45194.79503.12592.57122.53663.09791.77322.54083.09854.6024
H185.27954.26392.82442.19671.10682.13952.61393.16176.26835.19125.48844.78954.44732.60403.15353.09852.54081.77383.5330
H195.27964.26402.82452.19671.10682.13952.61363.16176.26835.48845.19124.44734.78953.15362.60412.54073.09851.77383.5327
H208.32947.02125.77844.45533.25191.94121.01032.35589.20758.48458.48447.11617.11635.96695.96674.60224.60243.53303.5327

picture of Hexanoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 112.036 C1 C2 H12 109.739
C1 C2 H13 109.739 C2 C1 H9 111.209
C2 C1 H10 110.480 C2 C1 H11 110.480
C2 C3 C4 112.321 C2 C3 H14 109.122
C2 C3 H15 109.122 C3 C2 H12 109.034
C3 C2 H13 109.034 C3 C4 C5 112.320
C3 C4 H16 109.923 C3 C4 H17 109.924
C4 C3 H14 109.527 C4 C3 H15 109.527
C4 C5 C6 111.082 C4 C5 H18 111.229
C4 C5 H19 111.229 C5 C4 H16 108.966
C5 C4 H17 108.965 C5 C6 O7 110.043
C5 C6 O8 127.015 C6 C5 H18 108.305
C6 C5 H19 108.307 C6 O7 H20 106.449
O7 C6 O8 122.942 H9 C1 H10 108.245
H9 C1 H11 108.245 H10 C1 H11 108.081
H12 C2 H13 107.131 H14 C3 H15 107.082
H16 C4 H17 106.569 H18 C5 H19 106.513
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 -0.594      
2 C -0.408      
3 C -0.391      
4 C -0.388      
5 C -0.501      
6 C 0.569      
7 O -0.513      
8 O -0.447      
9 H 0.202      
10 H 0.200      
11 H 0.200      
12 H 0.203      
13 H 0.203      
14 H 0.197      
15 H 0.197      
16 H 0.217      
17 H 0.217      
18 H 0.244      
19 H 0.244      
20 H 0.352      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.002 -1.146 0.000 1.146
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.068 1.790 0.001
y 1.790 -54.534 0.001
z 0.001 0.001 -48.791
Traceless
 xyz
x 7.594 1.790 0.001
y 1.790 -8.104 0.001
z 0.001 0.001 0.510
Polar
3z2-r21.020
x2-y210.466
xy1.790
xz0.001
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.749 0.085 0.000
y 0.085 9.423 -0.000
z 0.000 -0.000 7.610


<r2> (average value of r2) Å2
<r2> 515.077
(<r2>)1/2 22.695