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: B3LYP/aug-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 B3LYP/aug-cc-pVTZ
 hartrees
Energy at 0K-386.498323
Energy at 298.15K-386.512044
HF Energy-386.498323
Nuclear repulsion energy369.621749
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 B3LYP/aug-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 3738 3617 61.80      
2 A 3085 2985 39.56      
3 A 3079 2979 92.09      
4 A 3075 2975 8.66      
5 A 3050 2951 1.44      
6 A 3038 2940 15.89      
7 A 3038 2939 38.45      
8 A 3027 2929 2.58      
9 A 3021 2923 39.56      
10 A 3013 2915 4.36      
11 A 3011 2913 28.50      
12 A 2994 2897 13.39      
13 A 1806 1747 288.54      
14 A 1514 1465 9.35      
15 A 1503 1454 2.32      
16 A 1500 1451 6.97      
17 A 1492 1443 0.66      
18 A 1487 1439 0.31      
19 A 1460 1412 15.18      
20 A 1418 1372 18.38      
21 A 1413 1367 18.71      
22 A 1401 1356 3.64      
23 A 1362 1318 33.84      
24 A 1338 1295 0.60      
25 A 1334 1291 0.20      
26 A 1310 1267 4.24      
27 A 1297 1255 0.05      
28 A 1269 1227 5.21      
29 A 1231 1191 0.10      
30 A 1153 1116 163.70      
31 A 1141 1104 0.95      
32 A 1117 1081 137.27      
33 A 1064 1029 2.04      
34 A 1056 1021 16.69      
35 A 1013 980 13.17      
36 A 979 947 0.34      
37 A 916 886 2.92      
38 A 864 836 2.12      
39 A 858 830 4.86      
40 A 766 741 2.54      
41 A 731 707 8.17      
42 A 646 625 76.34      
43 A 634 613 23.39      
44 A 520 503 26.98      
45 A 508 491 21.19      
46 A 405 392 1.05      
47 A 304 294 1.52      
48 A 239 231 0.01      
49 A 225 217 2.05      
50 A 137 133 0.03      
51 A 117 113 0.14      
52 A 97 94 1.00      
53 A 58 56 0.14      
54 A 38 37 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 38443.4 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 37194.0 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 B3LYP/aug-cc-pVTZ
ABC
0.24792 0.02156 0.02020

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 4.074 -0.224 0.000
C2 2.740 0.520 -0.000
C3 1.528 -0.413 0.000
C4 0.192 0.330 -0.000
C5 -1.003 -0.616 0.000
C6 -2.337 0.087 -0.000
O7 -3.365 -0.800 0.000
O8 -2.518 1.277 -0.000
H9 4.916 0.469 -0.000
H10 4.170 -0.862 0.881
H11 4.170 -0.862 -0.880
H12 2.687 1.176 -0.874
H13 2.687 1.176 0.873
H14 1.580 -1.070 0.875
H15 1.580 -1.071 -0.874
H16 0.132 0.986 -0.871
H17 0.132 0.986 0.871
H18 -0.984 -1.279 0.869
H19 -0.984 -1.280 -0.869
H20 -4.184 -0.284 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
C11.52752.55273.92085.09196.41857.46106.76051.09061.09191.09192.15532.15532.77452.77454.21424.21425.23895.23898.2581
C21.52751.52912.55433.91135.09536.24575.31182.17672.17542.17541.09381.09382.15352.15352.78842.78844.22564.22566.9703
C32.55271.52911.52862.53923.89744.90834.38483.50062.82102.82102.15222.15221.09531.09532.15972.15972.79542.79545.7136
C43.92082.55431.52861.52462.54133.73272.87094.72544.24504.24502.77552.77552.15722.15721.09191.09192.17482.17484.4194
C55.09193.91132.53921.52461.50782.36902.42456.01745.25345.25344.19454.19452.76512.76512.14792.14791.09351.09353.1983
C66.41855.09533.89742.54131.50781.35751.20427.26306.63486.63485.21515.21514.17744.17742.76862.76862.11042.11041.8837
O77.46106.24574.90833.73272.36901.35752.24358.37747.58667.58666.42656.42655.02935.02934.02234.02232.57982.57980.9685
O86.76055.31184.38482.87092.42451.20422.24357.47757.07697.07695.27925.27914.80334.80342.80482.80463.10583.10592.2832
H91.09062.17673.50064.72546.01747.26308.37747.47751.76191.76192.49572.49573.77613.77614.88974.88976.21416.21419.1310
H101.09192.17542.82104.24505.25346.63487.58667.07691.76191.76153.07092.52052.59813.13544.77394.44095.17065.45868.4204
H111.09192.17542.82104.24505.25346.63487.58667.07691.76191.76152.52053.07093.13542.59814.44094.77395.45855.17068.4204
H122.15531.09382.15222.77554.19455.21516.42655.27922.49573.07092.52051.74733.05412.50432.56243.10004.74794.41667.0790
H132.15531.09382.15222.77554.19455.21516.42655.27912.49572.52053.07091.74732.50433.05413.10002.56244.41664.74797.0790
H142.77452.15351.09532.15722.76514.17745.02934.80333.77612.59813.13543.05412.50431.74903.06152.51512.57253.10765.8833
H152.77452.15351.09532.15722.76514.17745.02934.80343.77613.13542.59812.50433.05411.74902.51513.06153.10762.57255.8833
H164.21422.78842.15971.09192.14792.76864.02232.80484.88974.77394.44092.56243.10003.06152.51511.74233.06682.52544.5827
H174.21422.78842.15971.09192.14792.76864.02232.80464.88974.44094.77393.10002.56242.51513.06151.74232.52543.06684.5827
H185.23894.22562.79542.17481.09352.11042.57983.10586.21415.17065.45854.74794.41662.57253.10763.06682.52541.73773.4626
H195.23894.22562.79542.17481.09352.11042.57983.10596.21415.45865.17064.41664.74793.10762.57252.52543.06681.73773.4627
H208.25816.97035.71364.41943.19831.88370.96852.28329.13108.42048.42047.07907.07905.88335.88334.58274.58273.46263.4627

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 113.261 C1 C2 H12 109.503
C1 C2 H13 109.503 C2 C1 H9 111.389
C2 C1 H10 111.205 C2 C1 H11 111.205
C2 C3 C4 113.313 C2 C3 H14 109.164
C2 C3 H15 109.164 C3 C2 H12 109.152
C3 C2 H13 109.152 C3 C4 C5 112.541
C3 C4 H16 109.887 C3 C4 H17 109.887
C4 C3 H14 109.489 C4 C3 H15 109.490
C4 C5 C6 113.867 C4 C5 H18 111.269
C4 C5 H19 111.269 C5 C4 H16 109.229
C5 C4 H17 109.229 C5 C6 O7 111.435
C5 C6 O8 126.401 C6 C5 H18 107.371
C6 C5 H19 107.371 C6 O7 H20 106.973
O7 C6 O8 122.164 H9 C1 H10 107.659
H9 C1 H11 107.659 H10 C1 H11 107.536
H12 C2 H13 106.012 H14 C3 H15 105.958
H16 C4 H17 105.845 H18 C5 H19 105.221
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.811      
2 C -0.193      
3 C -0.058      
4 C -0.044      
5 C -0.056      
6 C 0.419      
7 O -0.392      
8 O -0.698      
9 H 0.166      
10 H 0.182      
11 H 0.182      
12 H 0.140      
13 H 0.140      
14 H 0.166      
15 H 0.166      
16 H 0.123      
17 H 0.123      
18 H 0.128      
19 H 0.128      
20 H 0.190      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.524 -1.482 0.000 1.572
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.805 3.320 -0.001
y 3.320 -56.113 0.001
z -0.001 0.001 -49.585
Traceless
 xyz
x 5.044 3.320 -0.001
y 3.320 -7.418 0.001
z -0.001 0.001 2.374
Polar
3z2-r24.747
x2-y28.308
xy3.320
xz-0.001
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.572 -0.008 0.000
y -0.008 11.990 -0.000
z 0.000 -0.000 9.925


<r2> (average value of r2) Å2
<r2> 512.565
(<r2>)1/2 22.640