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 C4H8O2 (Butanoic acid)

using model chemistry: M06-2X/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-307.688666
Energy at 298.15K-307.698223
HF Energy-307.688666
Nuclear repulsion energy239.849425
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 M06-2X/TZVP
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 3820 3615 88.27      
2 A 3156 2986 15.25      
3 A 3150 2980 22.17      
4 A 3134 2966 21.41      
5 A 3111 2944 0.45      
6 A 3093 2927 11.81      
7 A 3075 2909 10.58      
8 A 3060 2896 16.75      
9 A 1876 1775 383.91      
10 A 1518 1437 10.26      
11 A 1512 1430 9.64      
12 A 1505 1424 2.22      
13 A 1486 1406 9.74      
14 A 1429 1352 5.48      
15 A 1403 1328 44.09      
16 A 1387 1312 47.74      
17 A 1336 1264 2.33      
18 A 1303 1233 2.27      
19 A 1271 1203 28.23      
20 A 1226 1160 145.27      
21 A 1130 1069 6.63      
22 A 1098 1039 78.22      
23 A 1068 1011 5.93      
24 A 939 888 1.95      
25 A 907 858 2.04      
26 A 888 840 8.66      
27 A 765 724 20.85      
28 A 739 699 33.22      
29 A 644 609 82.35      
30 A 594 562 50.52      
31 A 444 420 3.25      
32 A 338 320 1.15      
33 A 263 249 0.03      
34 A 191 181 0.19      
35 A 106 101 0.25      
36 A 58 55 0.54      

Unscaled Zero Point Vibrational Energy (zpe) 26509.6 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 25083.4 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 M06-2X/TZVP
ABC
0.27784 0.06263 0.05578

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.178 -0.147 0.081
C2 -0.237 -0.390 0.525
C3 -1.252 0.221 -0.447
C4 -2.683 -0.033 0.012
O5 1.495 1.166 0.114
O6 1.957 -0.982 -0.285
H7 -0.374 -1.468 0.602
H8 -0.370 0.052 1.516
H9 -1.098 -0.208 -1.440
H10 -1.066 1.293 -0.529
H11 -3.402 0.395 -0.687
H12 -2.885 -1.103 0.089
H13 -2.861 0.413 0.992
H14 2.407 1.248 -0.202

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50292.51373.86311.35041.19982.10392.11952.73792.73504.67544.17414.17791.8805
C21.50291.53272.52462.36492.41301.08911.09292.15322.15243.47912.77682.78363.1945
C32.51371.53271.52372.95913.43132.17382.15821.09291.09132.17032.16942.16703.8082
C43.86312.52461.52374.34814.74572.78232.76032.15672.15961.09021.09171.09195.2527
O51.35042.36492.95914.34812.23223.26662.58563.32032.64405.02214.93334.50750.9679
O61.19982.41303.43134.74572.23222.54173.11923.35643.79155.54814.85875.17632.2762
H72.10391.08912.17382.78233.26662.54171.77382.50673.06333.78202.58923.14273.9698
H82.11951.09292.15822.76032.58563.11921.77383.05502.49073.76353.11392.57083.4773
H92.73792.15321.09292.15673.32033.35642.50673.05501.75622.49802.51683.06783.9915
H102.73502.15241.09132.15962.64403.79153.06332.49071.75622.50773.07102.51193.4884
H114.67543.47912.17031.09025.02215.54813.78203.76352.49802.50771.76421.76485.8911
H124.17412.77682.16941.09174.93334.85872.58923.11392.51683.07101.76421.76475.7980
H134.17792.78362.16701.09194.50755.17633.14272.57083.06782.51191.76481.76475.4656
H141.88053.19453.80825.25270.96792.27623.96983.47733.99153.48845.89115.79805.4656

picture of Butanoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 111.802 C1 C2 H7 107.443
C1 C2 H8 108.443 C1 O5 H14 107.266
C2 C1 O5 111.849 C2 C1 O6 126.093
C2 C3 C4 111.385 C2 C3 H9 109.040
C2 C3 H10 109.068 C3 C2 H7 110.880
C3 C2 H8 109.425 C3 C4 H11 111.174
C3 C4 H12 111.012 C3 C4 H13 110.815
C4 C3 H9 109.932 C4 C3 H10 110.262
O5 C1 O6 122.048 H7 C2 H8 108.759
H9 C3 H10 107.044 H11 C4 H12 107.911
H11 C4 H13 107.950 H12 C4 H13 107.838
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.301      
2 C -0.323      
3 C -0.278      
4 C -0.407      
5 O -0.337      
6 O -0.345      
7 H 0.174      
8 H 0.171      
9 H 0.148      
10 H 0.168      
11 H 0.148      
12 H 0.136      
13 H 0.134      
14 H 0.310      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.348 1.321 0.328 1.915
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.690 5.613 0.399
y 5.613 -39.709 -1.613
z 0.399 -1.613 -36.618
Traceless
 xyz
x 1.473 5.613 0.399
y 5.613 -3.055 -1.613
z 0.399 -1.613 1.581
Polar
3z2-r23.162
x2-y23.019
xy5.613
xz0.399
yz-1.613


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.228 -0.207 -0.311
y -0.207 7.664 0.096
z -0.311 0.096 6.570


<r2> (average value of r2) Å2
<r2> 206.889
(<r2>)1/2 14.384