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All results from a given calculation for C4H8O2 (Butanoic acid)

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G
 hartrees
Energy at 0K-305.668521
Energy at 298.15K-305.678020
HF Energy-305.668521
Nuclear repulsion energy238.295850
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 PBE1PBE/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 3543 3403 21.65      
2 A 3171 3046 19.68      
3 A 3150 3025 6.23      
4 A 3143 3019 25.71      
5 A 3126 3003 8.71      
6 A 3090 2967 17.17      
7 A 3076 2954 0.82      
8 A 3062 2941 18.86      
9 A 1823 1751 219.19      
10 A 1566 1504 9.87      
11 A 1563 1501 11.09      
12 A 1552 1490 4.53      
13 A 1518 1458 7.69      
14 A 1459 1402 7.81      
15 A 1407 1351 23.80      
16 A 1396 1341 20.44      
17 A 1359 1305 5.48      
18 A 1332 1280 3.77      
19 A 1299 1247 2.17      
20 A 1198 1150 92.72      
21 A 1148 1102 11.65      
22 A 1097 1054 136.21      
23 A 1055 1013 22.79      
24 A 937 900 2.36      
25 A 916 879 3.33      
26 A 872 838 11.63      
27 A 775 745 14.08      
28 A 708 680 67.01      
29 A 621 597 90.66      
30 A 567 545 51.15      
31 A 429 412 3.58      
32 A 347 333 1.37      
33 A 253 243 0.03      
34 A 203 195 0.05      
35 A 99 95 0.09      
36 A 58 56 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 26458.9 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 25411.1 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 PBE1PBE/3-21G
ABC
0.27932 0.06263 0.05477

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 0.395
C3 -1.253 0.306 -0.368
C4 -2.688 -0.082 0.011
O5 1.339 1.206 0.156
O6 2.113 -0.895 -0.264
H7 -0.344 -1.611 0.173
H8 -0.369 -0.394 1.474
H9 -1.104 0.173 -1.447
H10 -1.063 1.359 -0.136
H11 -3.414 0.530 -0.535
H12 -2.881 -1.135 -0.226
H13 -2.855 0.063 1.085
H14 2.278 1.433 -0.078

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50322.52173.87711.37941.22202.11242.12002.76092.72324.69174.19354.17901.9359
C21.50321.53912.53612.36042.45271.09341.09912.16472.14863.49312.79102.78773.2254
C32.52171.53911.53362.79313.57522.18942.15961.09761.09442.17922.17912.17663.7175
C43.87712.53611.53364.22974.87622.80262.75892.16772.17671.09581.09681.09715.1920
O51.37942.36042.79314.22972.27793.28092.68573.09912.42404.85034.84064.44490.9939
O61.22202.45273.57524.87622.27792.59573.07073.58993.89595.71424.99935.23622.3417
H72.11241.09342.18942.80263.28092.59571.78132.52643.07073.80932.61143.15294.0251
H82.12001.09912.15962.75892.68573.07071.78133.06482.47903.76303.12182.55743.5710
H92.76092.16471.09762.16773.09913.58992.52643.06481.76832.50982.52213.08103.8599
H102.72322.14861.09442.17672.42403.89593.07072.47901.76832.52503.08782.52643.3416
H114.69173.49312.17921.09584.85035.71423.80933.76302.50982.52501.77621.77615.7812
H124.19352.79102.17911.09684.84064.99932.61143.12182.52213.08781.77621.77685.7645
H134.17902.78772.17661.09714.44495.23623.15292.55743.08102.52641.77611.77685.4382
H141.93593.22543.71755.19200.99392.34174.02513.57103.85993.34165.78125.76455.4382

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 111.962 C1 C2 H7 107.839
C1 C2 H8 108.101 C1 O5 H14 108.217
C2 C1 O5 109.860 C2 C1 O6 128.015
C2 C3 C4 111.251 C2 C3 H9 109.219
C2 C3 H10 108.163 C3 C2 H7 111.421
C3 C2 H8 108.741 C3 C4 H11 110.848
C3 C4 H12 110.774 C3 C4 H13 110.565
C4 C3 H9 109.830 C4 C3 H10 110.730
O5 C1 O6 122.124 H7 C2 H8 108.673
H9 C3 H10 107.552 H11 C4 H12 108.204
H11 C4 H13 108.180 H12 C4 H13 108.168
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.648      
2 C -0.521      
3 C -0.445      
4 C -0.629      
5 O -0.574      
6 O -0.494      
7 H 0.252      
8 H 0.259      
9 H 0.227      
10 H 0.249      
11 H 0.220      
12 H 0.215      
13 H 0.214      
14 H 0.378      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.014 1.172 0.295 1.577
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.595 6.053 0.562
y 6.053 -37.764 -1.352
z 0.562 -1.352 -35.873
Traceless
 xyz
x 0.224 6.053 0.562
y 6.053 -1.530 -1.352
z 0.562 -1.352 1.306
Polar
3z2-r22.613
x2-y21.169
xy6.053
xz0.562
yz-1.352


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.875 -0.045 -0.320
y -0.045 6.505 0.096
z -0.320 0.096 5.121


<r2> (average value of r2) Å2
<r2> 207.629
(<r2>)1/2 14.409