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: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-305.694918
Energy at 298.15K-305.704421
HF Energy-305.694918
Nuclear repulsion energy238.346601
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 HSEh1PBE/3-21G
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 3536 3407 20.80      
2 A 3172 3056 20.09      
3 A 3150 3035 6.61      
4 A 3144 3029 26.16      
5 A 3127 3012 8.82      
6 A 3090 2977 17.66      
7 A 3076 2963 0.82      
8 A 3064 2951 18.93      
9 A 1823 1756 218.52      
10 A 1567 1509 9.99      
11 A 1564 1506 11.04      
12 A 1553 1496 4.34      
13 A 1519 1463 7.54      
14 A 1461 1407 7.69      
15 A 1407 1355 20.08      
16 A 1397 1346 22.69      
17 A 1360 1310 5.69      
18 A 1334 1285 3.68      
19 A 1300 1252 2.13      
20 A 1199 1155 91.19      
21 A 1149 1107 11.87      
22 A 1097 1057 138.43      
23 A 1055 1016 22.91      
24 A 937 903 2.33      
25 A 917 883 3.41      
26 A 872 840 12.18      
27 A 776 748 13.73      
28 A 708 682 66.43      
29 A 621 598 90.37      
30 A 568 547 51.12      
31 A 430 414 3.58      
32 A 348 335 1.36      
33 A 254 245 0.03      
34 A 203 196 0.06      
35 A 99 95 0.09      
36 A 58 56 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 26466.0 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 25494.7 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 HSEh1PBE/3-21G
ABC
0.27941 0.06265 0.05479

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.188 -0.162 0.055
C2 -0.224 -0.547 0.394
C3 -1.253 0.306 -0.368
C4 -2.687 -0.082 0.011
O5 1.339 1.206 0.156
O6 2.112 -0.895 -0.264
H7 -0.344 -1.610 0.172
H8 -0.369 -0.395 1.473
H9 -1.104 0.173 -1.447
H10 -1.063 1.358 -0.136
H11 -3.414 0.530 -0.534
H12 -2.880 -1.135 -0.225
H13 -2.855 0.063 1.085
H14 2.277 1.434 -0.078

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50242.52143.87621.37961.22162.11142.11922.76072.72264.69084.19284.17841.9363
C21.50241.53872.53582.36012.45151.09301.09872.16402.14783.49252.79072.78783.2250
C32.52141.53871.53292.79323.57472.18862.15871.09731.09402.17852.17842.17593.7176
C43.87622.53581.53294.22934.87512.80212.75802.16682.17591.09541.09651.09685.1914
O51.37962.36012.79324.22932.27773.28042.68593.09882.42384.84984.84024.44470.9937
O61.22162.45153.57474.87512.27772.59443.06933.58963.89505.71304.99835.23512.3419
H72.11141.09302.18862.80213.28042.59441.78032.52563.06953.80832.61123.15284.0245
H82.11921.09872.15872.75802.68593.06931.78033.06362.47823.76203.12052.55713.5711
H92.76072.16401.09732.16683.09883.58962.52563.06361.76742.50872.52163.07993.8596
H102.72262.14781.09402.17592.42383.89503.06952.47821.76742.52453.08692.52573.3413
H114.69083.49252.17851.09544.84985.71303.80833.76202.50872.52451.77541.77545.7805
H124.19282.79072.17841.09654.84024.99832.61123.12052.52163.08691.77541.77605.7640
H134.17842.78782.17591.09684.44475.23513.15282.55713.07992.52571.77541.77605.4378
H141.93633.22503.71765.19140.99372.34194.02453.57113.85963.34135.78055.76405.4378

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 112.009 C1 C2 H7 107.844
C1 C2 H8 108.116 C1 O5 H14 108.242
C2 C1 O5 109.879 C2 C1 O6 128.003
C2 C3 C4 111.290 C2 C3 H9 109.211
C2 C3 H10 108.150 C3 C2 H7 111.409
C3 C2 H8 108.718 C3 C4 H11 110.867
C3 C4 H12 110.791 C3 C4 H13 110.578
C4 C3 H9 109.830 C4 C3 H10 110.741
O5 C1 O6 122.117 H7 C2 H8 108.641
H9 C3 H10 107.520 H11 C4 H12 108.188
H11 C4 H13 108.165 H12 C4 H13 108.149
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.645      
2 C -0.515      
3 C -0.440      
4 C -0.624      
5 O -0.571      
6 O -0.492      
7 H 0.249      
8 H 0.257      
9 H 0.224      
10 H 0.246      
11 H 0.218      
12 H 0.213      
13 H 0.212      
14 H 0.376      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.009 1.171 0.294 1.574
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.577 6.044 0.561
y 6.044 -37.752 -1.350
z 0.561 -1.350 -35.856
Traceless
 xyz
x 0.227 6.044 0.561
y 6.044 -1.535 -1.350
z 0.561 -1.350 1.308
Polar
3z2-r22.616
x2-y21.175
xy6.044
xz0.561
yz-1.350


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.873 -0.040 -0.319
y -0.040 6.500 0.095
z -0.319 0.095 5.114


<r2> (average value of r2) Å2
<r2> 207.555
(<r2>)1/2 14.407