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

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-385.997804
Energy at 298.15K-386.011337
HF Energy-385.997804
Nuclear repulsion energy368.360254
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/cc-pVTZ
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 3620 3595 37.54      
2 A 3034 3013 35.14      
3 A 3025 3004 59.44      
4 A 3013 2992 31.79      
5 A 2989 2968 4.02      
6 A 2981 2960 13.17      
7 A 2974 2953 39.42      
8 A 2962 2942 3.28      
9 A 2961 2940 39.00      
10 A 2954 2934 4.63      
11 A 2950 2929 26.67      
12 A 2931 2911 13.01      
13 A 1761 1749 235.94      
14 A 1461 1450 8.89      
15 A 1450 1440 2.89      
16 A 1447 1437 7.39      
17 A 1438 1428 0.53      
18 A 1432 1422 0.35      
19 A 1405 1395 15.59      
20 A 1365 1356 31.87      
21 A 1359 1350 17.32      
22 A 1349 1339 2.53      
23 A 1314 1305 26.74      
24 A 1291 1282 0.60      
25 A 1284 1275 0.15      
26 A 1264 1256 0.06      
27 A 1249 1241 0.06      
28 A 1218 1209 11.42      
29 A 1184 1176 0.04      
30 A 1119 1112 107.39      
31 A 1095 1088 0.74      
32 A 1080 1073 136.93      
33 A 1050 1043 9.94      
34 A 1041 1034 13.67      
35 A 998 991 18.37      
36 A 943 936 0.15      
37 A 893 887 5.46      
38 A 847 841 3.05      
39 A 826 821 4.90      
40 A 741 736 2.28      
41 A 710 705 10.58      
42 A 645 640 68.31      
43 A 612 607 21.74      
44 A 507 503 22.32      
45 A 491 488 21.42      
46 A 390 388 0.86      
47 A 297 295 1.53      
48 A 237 235 0.01      
49 A 217 215 1.95      
50 A 135 134 0.02      
51 A 120 119 0.15      
52 A 93 93 0.95      
53 A 57 57 0.03      
54 A 40 40 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 37422.9 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 37164.7 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/cc-pVTZ
ABC
0.24458 0.02151 0.02014

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.078 -0.221 0.000
C2 2.741 0.521 -0.000
C3 1.531 -0.416 0.000
C4 0.192 0.324 -0.000
C5 -1.005 -0.623 0.000
C6 -2.338 0.087 -0.000
O7 -3.375 -0.805 0.000
O8 -2.514 1.289 -0.000
H9 4.927 0.477 -0.000
H10 4.176 -0.864 0.887
H11 4.176 -0.865 -0.887
H12 2.685 1.183 -0.880
H13 2.685 1.184 0.880
H14 1.586 -1.079 0.881
H15 1.586 -1.080 -0.881
H16 0.129 0.987 -0.877
H17 0.129 0.987 0.877
H18 -0.985 -1.294 0.875
H19 -0.985 -1.294 -0.874
H20 -4.186 -0.258 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
C11.52892.55473.92415.09846.42377.47546.76301.09891.10031.10032.16472.16472.77952.77954.22204.22205.24855.24858.2640
C21.52891.53062.55683.91635.09806.25775.31132.18642.18292.18291.10271.10272.16182.16182.79492.79494.23564.23566.9707
C32.55471.53061.52972.54373.90164.92064.38963.51172.82592.82592.15952.15951.10441.10442.16862.16862.80412.80415.7188
C43.92412.55681.52971.52582.54143.74092.87304.73764.25124.25122.77992.77992.16552.16551.10111.10112.18342.18344.4164
C55.09843.91632.54371.52581.51082.37702.43586.03265.26155.26154.20094.20092.77382.77382.15492.15491.10271.10273.2022
C66.42375.09803.90162.54141.51081.36701.21467.27596.64306.64305.21635.21634.18754.18752.76862.76862.12232.12231.8795
O77.47546.25774.92063.74092.37701.36702.26338.39997.60277.60276.43776.43775.04535.04534.03134.03132.59152.59140.9784
O86.76305.31134.38962.87302.43581.21462.26337.48557.08417.08415.27445.27434.81614.81622.80112.80093.12643.12652.2774
H91.09892.18643.51174.73766.03267.27598.39997.48551.77481.77482.51002.51003.79003.79004.90454.90456.23296.23299.1425
H101.10032.18292.82594.25125.26156.64307.60277.08411.77481.77393.08842.53302.59933.14354.78764.45085.17855.47008.4307
H111.10032.18292.82594.25125.26156.64307.60277.08411.77481.77392.53303.08843.14352.59934.45084.78765.46995.17858.4307
H122.16471.10272.15952.77994.20095.21636.43775.27442.51003.08842.53301.76003.07082.51582.56393.10824.76244.42747.0754
H132.16471.10272.15952.77994.20095.21636.43775.27432.51002.53303.08841.76002.51583.07083.10822.56394.42744.76247.0754
H142.77952.16181.10442.16552.77384.18755.04534.81613.79002.59933.14353.07082.51581.76173.07962.52862.57923.12005.8959
H152.77952.16181.10442.16552.77384.18755.04534.81623.79003.14352.59932.51583.07081.76172.52863.07963.11992.57925.8959
H164.22202.79492.16861.10112.15492.76864.03132.80114.90454.78764.45082.56393.10823.07962.52861.75413.08382.53794.5754
H174.22202.79492.16861.10112.15492.76864.03132.80094.90454.45084.78763.10822.56392.52863.07961.75412.53793.08384.5754
H185.24854.23562.80412.18341.10272.12232.59153.12646.23295.17855.46994.76244.42742.57923.11993.08382.53791.74933.4765
H195.24854.23562.80412.18341.10272.12232.59143.12656.23295.47005.17854.42744.76243.12002.57922.53793.08381.74933.4765
H208.26406.97075.71884.41643.20221.87950.97842.27749.14258.43078.43077.07547.07545.89595.89594.57544.57543.47653.4765

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 113.238 C1 C2 H12 109.625
C1 C2 H13 109.625 C2 C1 H9 111.565
C2 C1 H10 111.207 C2 C1 H11 111.207
C2 C3 C4 113.331 C2 C3 H14 109.186
C2 C3 H15 109.186 C3 C2 H12 109.105
C3 C2 H13 109.105 C3 C4 C5 112.712
C3 C4 H16 109.967 C3 C4 H17 109.968
C4 C3 H14 109.532 C4 C3 H15 109.532
C4 C5 C6 113.630 C4 C5 H18 111.322
C4 C5 H19 111.322 C5 C4 H16 109.172
C5 C4 H17 109.172 C5 C6 O7 111.272
C5 C6 O8 126.344 C6 C5 H18 107.564
C6 C5 H19 107.565 C6 O7 H20 105.315
O7 C6 O8 122.384 H9 C1 H10 107.614
H9 C1 H11 107.614 H10 C1 H11 107.433
H12 C2 H13 105.878 H14 C3 H15 105.797
H16 C4 H17 105.598 H18 C5 H19 104.972
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.295      
2 C -0.145      
3 C -0.133      
4 C -0.130      
5 C -0.204      
6 C 0.236      
7 O -0.230      
8 O -0.271      
9 H 0.097      
10 H 0.089      
11 H 0.089      
12 H 0.080      
13 H 0.080      
14 H 0.070      
15 H 0.070      
16 H 0.088      
17 H 0.088      
18 H 0.108      
19 H 0.108      
20 H 0.202      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.334 -1.383 0.000 1.423
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.852 3.013 -0.001
y 3.013 -55.362 0.001
z -0.001 0.001 -49.435
Traceless
 xyz
x 5.547 3.013 -0.001
y 3.013 -7.219 0.001
z -0.001 0.001 1.672
Polar
3z2-r23.344
x2-y28.510
xy3.013
xz-0.001
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.635 0.040 0.000
y 0.040 11.587 -0.000
z 0.000 -0.000 9.586


<r2> (average value of r2) Å2
<r2> 513.734
(<r2>)1/2 22.666