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

using model chemistry: PBEPBE/cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-385.873996
Energy at 298.15K-385.887548
HF Energy-385.873996
Nuclear repulsion energy367.323230
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-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3575 3555 32.99      
2 A 3050 3032 31.24      
3 A 3039 3022 49.13      
4 A 3023 3005 37.98      
5 A 3000 2983 3.67      
6 A 2992 2974 17.49      
7 A 2976 2959 38.16      
8 A 2967 2950 2.76      
9 A 2965 2948 5.18      
10 A 2963 2946 35.44      
11 A 2953 2935 32.33      
12 A 2934 2917 16.68      
13 A 1779 1769 222.96      
14 A 1435 1427 5.21      
15 A 1425 1416 3.24      
16 A 1420 1412 6.54      
17 A 1412 1404 0.56      
18 A 1409 1401 1.10      
19 A 1384 1376 9.85      
20 A 1370 1362 63.29      
21 A 1351 1343 3.05      
22 A 1347 1339 5.43      
23 A 1309 1301 20.02      
24 A 1282 1274 0.51      
25 A 1271 1264 0.02      
26 A 1256 1249 3.14      
27 A 1237 1230 0.05      
28 A 1205 1198 16.85      
29 A 1171 1164 0.00      
30 A 1126 1120 134.17      
31 A 1089 1082 85.04      
32 A 1082 1075 0.76      
33 A 1061 1055 17.66      
34 A 1052 1046 0.72      
35 A 1009 1003 12.23      
36 A 935 930 0.13      
37 A 896 891 6.38      
38 A 854 849 3.21      
39 A 824 819 5.86      
40 A 742 738 2.45      
41 A 718 714 11.98      
42 A 663 659 68.61      
43 A 611 608 25.12      
44 A 511 508 18.06      
45 A 492 489 21.38      
46 A 392 389 0.78      
47 A 299 297 1.60      
48 A 247 246 0.01      
49 A 218 217 1.96      
50 A 139 139 0.02      
51 A 121 121 0.19      
52 A 94 93 0.93      
53 A 60 59 0.01      
54 A 35 35 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 37384.0 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 37167.1 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-pVDZ
ABC
0.24287 0.02144 0.02007

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.086 -0.213 0.000
C2 2.743 0.522 -0.000
C3 1.534 -0.420 0.000
C4 0.189 0.313 -0.000
C5 -1.010 -0.634 0.000
C6 -2.342 0.086 -0.000
O7 -3.385 -0.797 0.000
O8 -2.507 1.296 -0.000
H9 4.940 0.493 -0.000
H10 4.190 -0.863 0.894
H11 4.190 -0.864 -0.894
H12 2.683 1.192 -0.887
H13 2.683 1.192 0.887
H14 1.591 -1.092 0.888
H15 1.591 -1.092 -0.887
H16 0.121 0.984 -0.884
H17 0.121 0.984 0.883
H18 -0.994 -1.312 0.881
H19 -0.994 -1.313 -0.881
H20 -4.188 -0.226 -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
C11.53062.56033.93205.11306.43507.49386.76301.10861.11051.11052.17462.17462.78952.78954.23494.23495.27145.27158.2738
C21.53061.53322.56273.92725.10436.26895.30682.19682.19382.19381.11301.11302.17252.17252.80562.80564.25554.25566.9716
C32.56031.53321.53172.55273.90914.93354.38983.52652.83752.83752.16932.16931.11451.11452.17922.17922.82182.82185.7252
C43.93202.56271.53171.52812.54173.74292.86934.75424.26524.26522.78882.78872.17452.17451.11121.11122.19552.19554.4103
C55.11303.92722.55271.52811.51452.38092.44206.05575.28135.28134.21394.21392.78642.78642.16262.16261.11251.11253.2042
C66.43505.10433.90912.54171.51451.36651.22077.29366.66136.66135.22145.22134.20114.20112.76662.76652.13332.13331.8719
O77.49386.26894.93353.74292.38091.36652.26948.42467.62827.62826.44716.44715.06385.06384.03054.03052.60022.60020.9850
O86.76305.30684.38982.86932.44201.22072.26947.48977.09297.09295.26605.26594.82524.82532.78962.78943.14133.14142.2677
H91.10862.19683.52654.75426.05577.29368.42467.48971.78981.78982.52362.52363.80963.80964.92394.92396.26496.26499.1563
H101.11052.19382.83754.26525.28136.66137.62827.09291.78981.78793.10942.54902.60873.15894.80964.46925.20345.49798.4498
H111.11052.19382.83754.26525.28136.66137.62827.09291.78981.78792.54903.10943.15892.60874.46924.80965.49785.20348.4498
H122.17461.11302.16932.78884.21395.22146.44715.26602.52363.10942.54901.77373.09122.53132.57053.12104.78734.44887.0716
H132.17461.11302.16932.78874.21395.22136.44715.26592.52362.54903.10941.77372.53133.09123.12102.57054.44884.78737.0716
H142.78952.17251.11452.17452.78644.20115.06384.82523.80962.60873.15893.09122.53131.77493.09972.54422.59473.14025.9109
H152.78952.17251.11452.17452.78644.20115.06384.82533.80963.15892.60872.53133.09121.77492.54423.09973.14022.59475.9109
H164.23492.80562.17921.11122.16262.76664.03052.78964.92394.80964.46922.57053.12103.09972.54421.76663.10342.55304.5619
H174.23492.80562.17921.11122.16262.76654.03052.78944.92394.46924.80963.12102.57052.54423.09971.76662.55303.10354.5619
H185.27144.25552.82182.19551.11252.13332.60023.14136.26495.20345.49784.78734.44882.59473.14023.10342.55301.76243.4871
H195.27154.25562.82182.19551.11252.13332.60023.14146.26495.49795.20344.44884.78733.14022.59472.55303.10351.76243.4870
H208.27386.97165.72524.41033.20421.87190.98502.26779.15638.44988.44987.07167.07165.91095.91094.56194.56193.48713.4870

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 113.366 C1 C2 H12 109.679
C1 C2 H13 109.679 C2 C1 H9 111.683
C2 C1 H10 111.333 C2 C1 H11 111.333
C2 C3 C4 113.467 C2 C3 H14 109.249
C2 C3 H15 109.249 C3 C2 H12 109.089
C3 C2 H13 109.089 C3 C4 C5 113.080
C3 C4 H16 110.065 C3 C4 H17 110.065
C4 C3 H14 109.511 C4 C3 H15 109.511
C4 C5 C6 113.311 C4 C5 H18 111.527
C4 C5 H19 111.528 C5 C4 H16 109.021
C5 C4 H17 109.021 C5 C6 O7 111.366
C5 C6 O8 126.124 C6 C5 H18 107.619
C6 C5 H19 107.620 C6 O7 H20 104.334
O7 C6 O8 122.510 H9 C1 H10 107.518
H9 C1 H11 107.518 H10 C1 H11 107.229
H12 C2 H13 105.647 H14 C3 H15 105.551
H16 C4 H17 105.286 H18 C5 H19 104.772
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.045      
2 C -0.069      
3 C -0.044      
4 C -0.030      
5 C -0.044      
6 C 0.120      
7 O -0.151      
8 O -0.216      
9 H 0.027      
10 H 0.030      
11 H 0.030      
12 H 0.023      
13 H 0.023      
14 H 0.016      
15 H 0.016      
16 H 0.031      
17 H 0.031      
18 H 0.054      
19 H 0.054      
20 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.139 -1.303 0.000 1.310
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.604 2.647 -0.000
y 2.647 -54.417 0.001
z -0.000 0.001 -49.058
Traceless
 xyz
x 6.133 2.647 -0.000
y 2.647 -7.085 0.001
z -0.000 0.001 0.952
Polar
3z2-r21.904
x2-y28.813
xy2.647
xz-0.000
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.405 0.053 0.000
y 0.053 10.662 -0.000
z 0.000 -0.000 8.761


<r2> (average value of r2) Å2
<r2> 514.971
(<r2>)1/2 22.693