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: PBEPBEultrafine/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/6-31+G**
 hartrees
Energy at 0K-307.367143
Energy at 298.15K-307.376313
HF Energy-307.367143
Nuclear repulsion energy236.435295
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 PBEPBEultrafine/6-31+G**
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 3632 3590 40.49      
2 A 3057 3023 30.55      
3 A 3051 3016 51.16      
4 A 3029 2994 0.01      
5 A 3006 2972 1.91      
6 A 2994 2960 21.99      
7 A 2973 2939 8.87      
8 A 2971 2937 27.87      
9 A 1761 1741 277.25      
10 A 1462 1445 8.25      
11 A 1457 1440 10.08      
12 A 1446 1430 3.36      
13 A 1409 1393 16.46      
14 A 1370 1355 12.18      
15 A 1368 1352 47.72      
16 A 1306 1291 28.95      
17 A 1281 1267 0.03      
18 A 1236 1222 1.17      
19 A 1208 1194 0.06      
20 A 1125 1112 145.29      
21 A 1083 1070 1.12      
22 A 1078 1066 112.25      
23 A 1033 1021 18.02      
24 A 914 903 8.94      
25 A 856 846 1.01      
26 A 843 833 9.78      
27 A 728 720 15.36      
28 A 645 638 82.71      
29 A 608 601 23.16      
30 A 507 501 23.75      
31 A 436 431 15.19      
32 A 335 331 2.79      
33 A 241 238 0.10      
34 A 171 169 2.05      
35 A 95 94 0.21      
36 A 34 33 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 25373.0 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 25083.7 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 PBEPBEultrafine/6-31+G**
ABC
0.29466 0.06026 0.05147

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.157 -0.075 0.000
C2 -0.219 0.556 -0.000
C3 -1.364 -0.462 -0.000
C4 -2.741 0.214 0.000
O5 2.143 0.877 -0.000
O6 1.407 -1.272 0.000
H7 -0.280 1.226 0.878
H8 -0.279 1.226 -0.878
H9 -1.262 -1.120 0.880
H10 -1.262 -1.119 -0.881
H11 -3.550 -0.534 -0.000
H12 -2.877 0.852 0.891
H13 -2.877 0.853 -0.890
H14 2.991 0.383 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.51402.55083.90851.37051.22332.12792.12782.77822.77874.72964.23434.23431.8907
C21.51401.53172.54452.38432.44691.10651.10662.16102.16103.50472.81912.81873.2155
C32.55081.53171.53333.75422.88752.19032.19031.10391.10392.18712.19292.19294.4369
C43.90852.54451.53334.92884.40612.80232.80292.17712.17711.10221.10411.10425.7347
O51.37052.38433.75424.92882.27182.60072.60034.04454.04475.86575.09925.09890.9816
O61.22332.44692.88754.40612.27183.13993.13992.81432.81535.01194.86444.86482.2913
H72.12791.10652.19032.80232.60073.13991.75642.54393.09233.81682.62473.16423.4903
H82.12781.10662.19032.80292.60033.13991.75643.09232.54343.81703.16582.62493.4901
H92.77822.16101.10392.17714.04452.81432.54393.09231.76052.52062.54913.10384.5962
H102.77872.16101.10392.17714.04472.81533.09232.54341.76052.52023.10382.54944.5966
H114.72963.50472.18711.10225.86575.01193.81683.81702.52062.52021.78001.78006.6056
H124.23432.81912.19291.10415.09924.86442.62473.16582.54913.10381.78001.78085.9547
H134.23432.81872.19291.10425.09894.86483.16422.62493.10382.54941.78001.78085.9545
H141.89073.21554.43695.73470.98162.29133.49033.49014.59624.59666.60565.95475.9545

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 113.759 C1 C2 H7 107.569
C1 C2 H8 107.560 C1 O5 H14 105.801
C2 C1 O5 111.400 C2 C1 O6 126.411
C2 C3 C4 112.237 C2 C3 H9 109.083
C2 C3 H10 109.083 C3 C2 H7 111.218
C3 C2 H8 111.219 C3 C4 H11 111.110
C3 C4 H12 111.460 C3 C4 H13 111.459
C4 C3 H9 110.225 C4 C3 H10 110.224
O5 C1 O6 122.189 H7 C2 H8 105.052
H9 C3 H10 105.773 H11 C4 H12 107.559
H11 C4 H13 107.556 H12 C4 H13 107.493
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.426      
2 C -0.390      
3 C -0.173      
4 C -0.671      
5 O -0.402      
6 O -0.425      
7 H 0.198      
8 H 0.198      
9 H 0.184      
10 H 0.184      
11 H 0.174      
12 H 0.169      
13 H 0.169      
14 H 0.360      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.494 1.447 -0.000 1.529
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.041 1.674 0.000
y 1.674 -42.628 0.001
z 0.000 0.001 -36.705
Traceless
 xyz
x 6.626 1.674 0.000
y 1.674 -7.755 0.001
z 0.000 0.001 1.129
Polar
3z2-r22.258
x2-y29.587
xy1.674
xz0.000
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.253 -0.020 0.000
y -0.020 8.772 0.000
z 0.000 0.000 6.635


<r2> (average value of r2) Å2
<r2> 216.618
(<r2>)1/2 14.718