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All results from a given calculation for C6H12O2 (Hexanoic acid)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-386.333052
Energy at 298.15K-386.346843
HF Energy-386.333052
Nuclear repulsion energy370.965693
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 mPW1PW91/6-311G*
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 3792 3619 38.76      
2 A 3127 2984 45.48      
3 A 3121 2979 106.84      
4 A 3116 2973 14.05      
5 A 3091 2950 1.78      
6 A 3079 2939 17.85      
7 A 3071 2931 45.36      
8 A 3062 2923 2.30      
9 A 3053 2914 4.73      
10 A 3050 2911 43.20      
11 A 3044 2906 33.44      
12 A 3028 2890 14.77      
13 A 1866 1781 285.38      
14 A 1529 1459 11.58      
15 A 1521 1451 9.85      
16 A 1518 1449 5.12      
17 A 1506 1437 0.75      
18 A 1501 1432 0.40      
19 A 1477 1409 18.03      
20 A 1450 1384 56.57      
21 A 1429 1364 6.67      
22 A 1423 1358 10.06      
23 A 1379 1316 23.05      
24 A 1356 1294 0.89      
25 A 1350 1288 0.05      
26 A 1329 1268 2.88      
27 A 1310 1251 0.09      
28 A 1277 1219 39.22      
29 A 1238 1181 0.06      
30 A 1188 1134 225.77      
31 A 1150 1098 1.42      
32 A 1143 1091 41.89      
33 A 1092 1042 4.52      
34 A 1085 1035 5.07      
35 A 1042 994 11.15      
36 A 986 941 0.53      
37 A 932 890 6.69      
38 A 888 847 2.54      
39 A 864 824 8.51      
40 A 769 734 7.10      
41 A 732 699 16.83      
42 A 688 657 95.73      
43 A 647 618 31.50      
44 A 533 508 23.89      
45 A 514 490 22.84      
46 A 406 388 0.99      
47 A 308 294 1.77      
48 A 246 235 0.00      
49 A 226 215 2.07      
50 A 140 134 0.02      
51 A 118 112 0.18      
52 A 97 93 0.91      
53 A 61 58 0.02      
54 A 37 35 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 38990.4 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 37212.4 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 mPW1PW91/6-311G*
ABC
0.24913 0.02178 0.02040

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.055 -0.217 0.000
C2 2.723 0.520 -0.000
C3 1.521 -0.416 0.000
C4 0.188 0.321 -0.000
C5 -1.001 -0.624 0.000
C6 -2.326 0.086 -0.000
O7 -3.352 -0.787 0.000
O8 -2.495 1.275 -0.000
H9 4.898 0.478 -0.000
H10 4.156 -0.856 0.881
H11 4.156 -0.857 -0.881
H12 2.668 1.179 -0.874
H13 2.668 1.179 0.874
H14 1.576 -1.076 0.875
H15 1.576 -1.076 -0.875
H16 0.124 0.980 -0.871
H17 0.124 0.980 0.871
H18 -0.983 -1.290 0.869
H19 -0.983 -1.291 -0.869
H20 -4.163 -0.265 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
C11.52202.54233.90475.07286.38827.42886.71801.09221.09351.09352.15322.15322.76582.76584.20044.20045.22385.22388.2185
C21.52201.52412.54353.89655.06816.21435.27292.17502.17352.17351.09591.09592.15172.15172.77972.77974.21534.21546.9313
C32.54231.52411.52322.53063.87924.88664.35723.49362.81372.81372.15032.15031.09741.09742.15822.15822.79052.79055.6860
C43.90472.54351.52321.51902.52473.70902.84734.71294.23234.23232.76612.76612.15522.15521.09401.09402.17322.17324.3903
C55.07283.89652.53061.51901.50282.35612.41616.00145.23755.23754.18074.18072.75902.75902.14452.14451.09521.09523.1823
C66.38825.06813.87922.52471.50281.34701.20117.23466.60936.60935.18645.18644.16414.16422.74992.74992.11022.11021.8705
O77.42886.21434.88663.70902.35611.34702.23308.34627.55997.55996.39286.39285.01315.01313.99563.99562.57302.57300.9651
O86.71805.27294.35722.84732.41611.20112.23307.43607.03997.03995.23755.23744.78184.78192.77622.77603.10203.10222.2701
H91.09222.17503.49364.71296.00147.23468.34627.43601.76251.76252.49572.49573.77043.77044.87864.87866.20206.20219.0917
H101.09352.17352.81374.23235.23756.60937.55997.03991.76251.76243.07212.52132.58973.12894.76454.43065.15745.44628.3870
H111.09352.17352.81374.23235.23756.60937.55997.03991.76251.76242.52133.07213.12892.58974.43064.76455.44625.15748.3870
H122.15321.09592.15032.76614.18075.18646.39285.23752.49573.07212.52131.74803.05552.50542.55163.09124.73964.40757.0367
H132.15321.09592.15032.76614.18075.18646.39285.23742.49572.52133.07211.74802.50553.05553.09122.55164.40754.73967.0367
H142.76582.15171.09742.15522.75904.16415.01314.78183.77042.58973.12893.05552.50551.74973.06332.51712.56773.10395.8619
H152.76582.15171.09742.15522.75904.16425.01314.78193.77043.12892.58972.50543.05551.74972.51713.06333.10392.56775.8620
H164.20042.77972.15821.09402.14452.74993.99562.77624.87864.76454.43062.55163.09123.06332.51711.74213.06732.52604.5488
H174.20042.77972.15821.09402.14452.74993.99562.77604.87864.43064.76453.09122.55162.51713.06331.74212.52603.06734.5487
H185.22384.21532.79052.17321.09522.11022.57303.10206.20205.15745.44624.73964.40752.56773.10393.06732.52601.73793.4528
H195.22384.21542.79052.17321.09522.11022.57303.10226.20215.44625.15744.40754.73963.10392.56772.52603.06731.73793.4529
H208.21856.93135.68604.39033.18231.87050.96512.27019.09178.38708.38707.03677.03675.86195.86204.54884.54873.45283.4529

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 113.152 C1 C2 H12 109.595
C1 C2 H13 109.595 C2 C1 H9 111.552
C2 C1 H10 111.352 C2 C1 H11 111.352
C2 C3 C4 113.168 C2 C3 H14 109.248
C2 C3 H15 109.248 C3 C2 H12 109.223
C3 C2 H13 109.224 C3 C4 C5 112.570
C3 C4 H16 110.017 C3 C4 H17 110.017
C4 C3 H14 109.586 C4 C3 H15 109.586
C4 C5 C6 113.328 C4 C5 H18 111.431
C4 C5 H19 111.432 C5 C4 H16 109.230
C5 C4 H17 109.230 C5 C6 O7 111.417
C5 C6 O8 126.284 C6 C5 H18 107.595
C6 C5 H19 107.595 C6 O7 H20 106.833
O7 C6 O8 122.300 H9 C1 H10 107.488
H9 C1 H11 107.488 H10 C1 H11 107.389
H12 C2 H13 105.787 H14 C3 H15 105.734
H16 C4 H17 105.532 H18 C5 H19 105.016
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.653      
2 C -0.435      
3 C -0.430      
4 C -0.437      
5 C -0.555      
6 C 0.468      
7 O -0.523      
8 O -0.346      
9 H 0.224      
10 H 0.219      
11 H 0.219      
12 H 0.218      
13 H 0.218      
14 H 0.214      
15 H 0.214      
16 H 0.234      
17 H 0.234      
18 H 0.257      
19 H 0.257      
20 H 0.403      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.175 -1.349 0.000 1.360
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.563 2.713 -0.001
y 2.713 -55.302 0.001
z -0.001 0.001 -48.827
Traceless
 xyz
x 6.502 2.713 -0.001
y 2.713 -8.107 0.001
z -0.001 0.001 1.605
Polar
3z2-r23.210
x2-y29.739
xy2.713
xz-0.001
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.307 0.037 0.000
y 0.037 10.400 -0.000
z 0.000 -0.000 8.527


<r2> (average value of r2) Å2
<r2> 507.271
(<r2>)1/2 22.523