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: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-384.129802
Energy at 298.15K-384.143614
HF Energy-384.129802
Nuclear repulsion energy368.859287
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 mPW1PW91/3-21G*
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 3552 3373 20.72      
2 A 3146 2988 73.59      
3 A 3144 2986 30.23      
4 A 3141 2983 2.97      
5 A 3119 2961 2.27      
6 A 3107 2950 4.80      
7 A 3093 2937 24.05      
8 A 3083 2928 3.85      
9 A 3082 2927 2.27      
10 A 3068 2914 37.87      
11 A 3066 2912 12.14      
12 A 3051 2897 7.67      
13 A 1813 1721 172.61      
14 A 1572 1492 9.91      
15 A 1568 1489 10.60      
16 A 1558 1480 8.00      
17 A 1547 1469 0.79      
18 A 1542 1464 0.56      
19 A 1512 1436 25.32      
20 A 1463 1389 8.32      
21 A 1431 1359 50.01      
22 A 1413 1342 0.65      
23 A 1399 1328 28.40      
24 A 1382 1312 0.68      
25 A 1373 1304 0.04      
26 A 1355 1286 2.01      
27 A 1337 1270 0.22      
28 A 1303 1238 17.56      
29 A 1264 1201 0.00      
30 A 1176 1116 1.70      
31 A 1164 1106 69.25      
32 A 1122 1065 173.43      
33 A 1083 1028 0.21      
34 A 1069 1015 34.51      
35 A 1022 971 28.35      
36 A 1017 965 0.14      
37 A 935 888 4.44      
38 A 886 842 7.94      
39 A 875 831 1.31      
40 A 785 745 1.54      
41 A 746 708 17.65      
42 A 666 633 115.10      
43 A 632 600 24.41      
44 A 535 508 37.37      
45 A 512 486 32.34      
46 A 410 390 0.96      
47 A 308 292 2.52      
48 A 247 234 0.01      
49 A 228 217 2.21      
50 A 139 132 0.01      
51 A 124 118 0.18      
52 A 98 94 0.92      
53 A 62 59 0.00      
54 A 39 37 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 39180.9 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 37206.2 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 mPW1PW91/3-21G*
ABC
0.24156 0.02177 0.02035

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.062 -0.215 0.000
C2 2.720 0.533 -0.000
C3 1.524 -0.432 0.000
C4 0.180 0.309 -0.000
C5 -1.008 -0.652 0.000
C6 -2.314 0.093 -0.000
O7 -3.371 -0.786 0.000
O8 -2.465 1.306 -0.000
H9 4.904 0.484 -0.000
H10 4.146 -0.852 0.887
H11 4.146 -0.853 -0.887
H12 2.657 1.182 -0.883
H13 2.657 1.182 0.883
H14 1.586 -1.082 0.884
H15 1.586 -1.082 -0.884
H16 0.113 0.960 -0.879
H17 0.113 0.960 0.879
H18 -0.991 -1.308 0.879
H19 -0.991 -1.308 -0.879
H20 -4.215 -0.262 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
C11.53622.54713.91675.08916.38307.45496.70211.09481.09571.09572.16842.16842.76852.76854.21214.21215.24375.24378.2767
C21.53621.53682.54953.91225.05286.23225.24262.18512.17712.17711.09751.09752.16242.16242.78352.78354.23454.23456.9801
C32.54711.53681.53442.54203.87364.90804.35183.50242.79952.79952.16082.16081.09891.09892.16802.16802.80432.80435.7413
C43.91672.54951.53441.52852.50333.71622.82754.72744.22614.22612.77112.77112.16572.16571.09611.09612.18122.18124.4319
C55.08913.91222.54201.52851.50322.36652.44116.02115.23385.23384.19324.19322.77412.77412.15192.15191.09691.09693.2299
C66.38305.05283.87362.50331.50321.37491.22267.22876.58836.58845.16515.16514.16754.16752.72312.72312.11822.11821.9340
O77.45496.23224.90803.71622.36651.37492.27968.37257.56957.56956.40286.40285.04385.04393.99543.99532.59092.59090.9926
O86.70215.24264.35182.82752.44111.22262.27967.41557.01107.01115.20005.19994.78504.78502.74652.74643.12773.12782.3497
H91.09482.18513.50244.72746.02117.22878.37257.41551.77461.77462.51292.51293.77473.77474.89404.89416.22396.22409.1497
H101.09572.17712.79954.22615.23386.58837.56957.01101.77461.77413.08002.52052.57043.12154.76064.42095.15665.45088.4281
H111.09572.17712.79954.22615.23386.58847.56957.01111.77461.77412.52053.08003.12152.57044.42094.76065.45075.15678.4281
H122.16841.09752.16082.77114.19325.16516.40285.20002.51293.08002.52051.76623.06522.50452.55373.10264.75544.41697.0777
H132.16841.09752.16082.77114.19325.16516.40285.19992.51292.52053.08001.76622.50453.06523.10262.55374.41694.75557.0776
H142.76852.16241.09892.16572.77414.16755.04384.78503.77472.57043.12153.06522.50451.76813.07322.51732.58633.13025.9243
H152.76852.16241.09892.16572.77414.16755.04394.78503.77473.12152.57042.50453.06521.76812.51733.07333.13012.58635.9244
H164.21212.78352.16801.09612.15192.72313.99542.74654.89404.76064.42092.55373.10263.07322.51731.75793.07482.52264.5826
H174.21212.78352.16801.09612.15192.72313.99532.74644.89414.42094.76063.10262.55372.51733.07331.75792.52263.07484.5826
H185.24374.23452.80432.18121.09692.11822.59093.12776.22395.15665.45074.75544.41692.58633.13013.07482.52261.75833.5015
H195.24374.23452.80432.18121.09692.11822.59093.12786.22405.45085.15674.41694.75553.13022.58632.52263.07481.75833.5016
H208.27676.98015.74134.43193.22991.93400.99262.34979.14978.42818.42817.07777.07765.92435.92444.58264.58263.50153.5016

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 111.962 C1 C2 H12 109.714
C1 C2 H13 109.714 C2 C1 H9 111.192
C2 C1 H10 110.503 C2 C1 H11 110.503
C2 C3 C4 112.228 C2 C3 H14 109.130
C2 C3 H15 109.130 C3 C2 H12 109.087
C3 C2 H13 109.087 C3 C4 C5 112.189
C3 C4 H16 109.892 C3 C4 H17 109.893
C4 C3 H14 109.545 C4 C3 H15 109.545
C4 C5 C6 111.321 C4 C5 H18 111.299
C4 C5 H19 111.300 C5 C4 H16 109.041
C5 C4 H17 109.041 C5 C6 O7 110.544
C5 C6 O8 126.855 C6 C5 H18 108.092
C6 C5 H19 108.092 C6 O7 H20 108.464
O7 C6 O8 122.601 H9 C1 H10 108.217
H9 C1 H11 108.217 H10 C1 H11 108.106
H12 C2 H13 107.153 H14 C3 H15 107.127
H16 C4 H17 106.623 H18 C5 H19 106.534
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.625      
2 C -0.438      
3 C -0.418      
4 C -0.416      
5 C -0.536      
6 C 0.659      
7 O -0.582      
8 O -0.496      
9 H 0.213      
10 H 0.211      
11 H 0.211      
12 H 0.216      
13 H 0.216      
14 H 0.210      
15 H 0.210      
16 H 0.232      
17 H 0.232      
18 H 0.261      
19 H 0.261      
20 H 0.377      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.062 -1.243 0.000 1.244
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -43.989 1.971 -0.000
y 1.971 -54.781 0.001
z -0.000 0.001 -48.511
Traceless
 xyz
x 7.657 1.971 -0.000
y 1.971 -8.531 0.001
z -0.000 0.001 0.874
Polar
3z2-r21.748
x2-y210.792
xy1.971
xz-0.000
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.870 0.077 0.000
y 0.077 9.124 -0.000
z 0.000 -0.000 7.431


<r2> (average value of r2) Å2
<r2> 508.083
(<r2>)1/2 22.541