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/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-386.013183
Energy at 298.15K-386.026692
HF Energy-386.013183
Nuclear repulsion energy368.390555
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/Def2TZVPP
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 3631 3588 41.11      
2 A 3037 3000 33.62      
3 A 3028 2991 56.86      
4 A 3016 2980 30.14      
5 A 2991 2955 4.02      
6 A 2983 2947 12.71      
7 A 2975 2939 37.85      
8 A 2963 2927 3.38      
9 A 2962 2926 38.27      
10 A 2957 2921 4.47      
11 A 2951 2915 26.59      
12 A 2932 2896 12.85      
13 A 1758 1736 246.05      
14 A 1460 1442 9.64      
15 A 1449 1432 2.97      
16 A 1447 1430 7.70      
17 A 1437 1420 0.50      
18 A 1432 1415 0.31      
19 A 1404 1387 16.02      
20 A 1365 1348 26.46      
21 A 1360 1343 21.35      
22 A 1349 1333 2.93      
23 A 1313 1297 28.49      
24 A 1291 1276 0.62      
25 A 1284 1269 0.15      
26 A 1264 1248 0.29      
27 A 1249 1234 0.05      
28 A 1218 1203 10.68      
29 A 1184 1170 0.03      
30 A 1119 1106 103.26      
31 A 1095 1082 0.67      
32 A 1080 1067 143.34      
33 A 1051 1039 11.64      
34 A 1043 1030 14.93      
35 A 999 987 19.29      
36 A 943 932 0.16      
37 A 894 883 4.97      
38 A 847 837 2.79      
39 A 827 817 4.81      
40 A 741 733 2.27      
41 A 711 703 10.40      
42 A 646 638 71.40      
43 A 611 604 20.76      
44 A 509 503 21.11      
45 A 492 486 21.31      
46 A 391 386 0.89      
47 A 297 294 1.52      
48 A 238 235 0.01      
49 A 217 214 1.96      
50 A 135 133 0.02      
51 A 119 118 0.15      
52 A 93 92 0.97      
53 A 57 57 0.07      
54 A 40 40 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 37443.0 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 36990.0 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/Def2TZVPP
ABC
0.24464 0.02151 0.02014

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.085 -0.221 0.000
C2 2.747 0.522 -0.000
C3 1.534 -0.415 -0.000
C4 0.193 0.325 -0.000
C5 -1.006 -0.622 -0.001
C6 -2.343 0.085 -0.001
O7 -3.381 -0.802 0.001
O8 -2.522 1.286 0.000
H9 4.935 0.475 0.000
H10 4.181 -0.864 0.888
H11 4.181 -0.865 -0.886
H12 2.691 1.183 -0.880
H13 2.691 1.183 0.880
H14 1.589 -1.077 0.881
H15 1.590 -1.078 -0.881
H16 0.131 0.987 -0.878
H17 0.131 0.987 0.877
H18 -0.984 -1.291 0.875
H19 -0.984 -1.292 -0.876
H20 -4.197 -0.262 0.002

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.53082.55803.92995.10656.43547.48886.77671.09881.09991.09992.16582.16582.78182.78184.22674.22675.25405.25418.2820
C21.53081.53202.56103.92305.10866.26945.32372.18892.18302.18301.10231.10232.16202.16202.79812.79814.23934.23946.9877
C32.55801.53201.53182.54863.90954.93094.39853.51522.82702.82702.16002.16001.10401.10402.16892.16892.80652.80655.7333
C43.92992.56101.53181.52832.54783.74812.88024.74424.25474.25472.78362.78362.16642.16641.10051.10052.18332.18334.4293
C55.10653.92302.54861.52831.51282.38232.43766.04135.26735.26734.20704.20702.77812.77812.15652.15651.10211.10213.2114
C66.43545.10863.90952.54781.51281.36521.21497.28876.65196.65195.22715.22714.19424.19412.77552.77562.12332.12311.8858
O77.48886.26944.93093.74812.38231.36522.25838.41387.61397.61436.44906.44855.05535.05594.03824.03742.59822.59930.9783
O86.77675.32374.39852.88022.43761.21492.25837.50107.09477.09505.28775.28734.82324.82372.81042.80953.12663.12732.2809
H91.09882.18893.51524.74426.04137.28878.41387.50101.77481.77482.51262.51263.79223.79224.91064.91066.23866.23879.1616
H101.09992.18302.82704.25475.26736.65197.61397.09471.77481.77413.08802.53232.60013.14444.78984.45305.18215.47378.4456
H111.09992.18302.82704.25475.26736.65197.61437.09501.77481.77412.53233.08803.14442.60014.45304.78985.47365.18228.4462
H122.16581.10232.16002.78364.20705.22716.44905.28772.51263.08802.53231.76043.07032.51482.56763.11164.76544.43047.0929
H132.16581.10232.16002.78364.20705.22716.44855.28732.51262.53233.08801.76042.51483.07033.11162.56764.43034.76557.0921
H142.78182.16201.10402.16642.77814.19425.05534.82323.79222.60013.14443.07032.51481.76233.07912.52762.58203.12285.9090
H152.78182.16201.10402.16642.77814.19415.05594.82373.79223.14442.60012.51483.07031.76232.52763.07913.12282.58205.9099
H164.22672.79812.16891.10052.15652.77554.03822.81044.91064.78984.45302.56763.11163.07912.52761.75483.08312.53644.5894
H174.22672.79812.16891.10052.15652.77564.03742.80954.91064.45304.78983.11162.56762.52763.07911.75482.53643.08314.5882
H185.25404.23932.80652.18331.10212.12332.59823.12666.23865.18215.47364.76544.43032.58203.12283.08312.53641.75063.4850
H195.25414.23942.80652.18331.10212.12312.59933.12736.23875.47375.18224.43044.76553.12282.58202.53643.08311.75063.4864
H208.28206.98775.73334.42933.21141.88580.97832.28099.16168.44568.44627.09297.09215.90905.90994.58944.58823.48503.4864

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 113.265 C1 C2 H12 109.605
C1 C2 H13 109.605 C2 C1 H9 111.643
C2 C1 H10 111.099 C2 C1 H11 111.099
C2 C3 C4 113.415 C2 C3 H14 109.129
C2 C3 H15 109.129 C3 C2 H12 109.065
C3 C2 H13 109.065 C3 C4 C5 112.780
C3 C4 H16 109.884 C3 C4 H17 109.884
C4 C3 H14 109.490 C4 C3 H15 109.490
C4 C5 C6 113.815 C4 C5 H18 111.162
C4 C5 H19 111.165 C5 C4 H16 109.152
C5 C4 H17 109.153 C5 C6 O7 111.639
C5 C6 O8 126.320 C6 C5 H18 107.543
C6 C5 H19 107.536 C6 O7 H20 105.982
O7 C6 O8 122.041 H9 C1 H10 107.650
H9 C1 H11 107.650 H10 C1 H11 107.510
H12 C2 H13 105.974 H14 C3 H15 105.913
H16 C4 H17 105.740 H18 C5 H19 105.163
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.258      
2 C -0.081      
3 C -0.091      
4 C -0.069      
5 C -0.140      
6 C 0.205      
7 O -0.234      
8 O -0.276      
9 H 0.082      
10 H 0.074      
11 H 0.074      
12 H 0.056      
13 H 0.056      
14 H 0.048      
15 H 0.048      
16 H 0.062      
17 H 0.062      
18 H 0.087      
19 H 0.087      
20 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.402 -1.416 0.000 1.472
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.169 3.139 -0.000
y 3.139 -55.666 0.001
z -0.000 0.001 -49.553
Traceless
 xyz
x 5.440 3.139 -0.000
y 3.139 -7.305 0.001
z -0.000 0.001 1.865
Polar
3z2-r23.730
x2-y28.497
xy3.139
xz-0.000
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.839 0.031 0.000
y 0.031 11.856 -0.000
z 0.000 -0.000 9.812


<r2> (average value of r2) Å2
<r2> 513.845
(<r2>)1/2 22.668