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: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-305.646781
Energy at 298.15K-305.656093
HF Energy-305.646781
Nuclear repulsion energy236.057961
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 PBEPBE/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 3339 3308 3.85      
2 A 3080 3052 27.03      
3 A 3058 3031 6.69      
4 A 3055 3027 28.63      
5 A 3037 3009 7.38      
6 A 3000 2973 20.46      
7 A 2984 2957 0.60      
8 A 2977 2950 20.47      
9 A 1736 1720 181.53      
10 A 1524 1510 8.22      
11 A 1519 1506 9.69      
12 A 1508 1494 3.48      
13 A 1475 1462 5.67      
14 A 1412 1399 5.48      
15 A 1353 1340 5.96      
16 A 1342 1330 18.04      
17 A 1309 1297 6.79      
18 A 1284 1272 2.02      
19 A 1257 1245 1.68      
20 A 1151 1140 61.05      
21 A 1107 1096 9.48      
22 A 1045 1035 113.88      
23 A 1013 1004 50.37      
24 A 903 895 2.81      
25 A 883 875 5.22      
26 A 827 819 14.44      
27 A 751 744 10.85      
28 A 684 677 68.38      
29 A 602 597 66.43      
30 A 541 537 41.95      
31 A 412 408 3.23      
32 A 335 332 1.12      
33 A 248 245 0.03      
34 A 197 195 0.08      
35 A 97 96 0.07      
36 A 51 51 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 25546.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 25313.6 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 PBEPBE/3-21G
ABC
0.27383 0.06158 0.05377

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.200 -0.165 0.054
C2 -0.225 -0.557 0.391
C3 -1.265 0.305 -0.370
C4 -2.709 -0.085 0.012
O5 1.335 1.227 0.158
O6 2.143 -0.899 -0.261
H7 -0.343 -1.627 0.159
H8 -0.375 -0.413 1.479
H9 -1.116 0.175 -1.458
H10 -1.070 1.364 -0.132
H11 -3.441 0.535 -0.534
H12 -2.905 -1.145 -0.229
H13 -2.875 0.058 1.096
H14 2.294 1.437 -0.080

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.51652.54573.91011.40201.23542.12882.13852.78772.74334.73034.23034.21261.9449
C21.51651.55022.55592.38122.48041.10181.10772.17942.16223.51932.81272.81023.2477
C32.54571.55021.54342.80883.61622.20562.17461.10601.10272.19372.19392.19133.7466
C43.91012.55591.54344.25384.92712.82772.77612.18312.19241.10401.10511.10535.2304
O51.40202.38122.80884.25382.31183.31092.71303.11872.42614.87514.87394.46931.0103
O61.23542.48043.61624.92712.31182.62483.09923.63453.93165.77125.05425.28602.3478
H72.12881.10182.20562.82773.31092.62481.79382.54233.09193.84062.63553.18284.0505
H82.13851.10772.17462.77612.71303.09921.79383.08632.49733.78863.13942.57343.6028
H92.78772.17941.10602.18313.11873.63452.54233.08631.78172.52672.54053.10323.8893
H102.74332.16221.10272.19242.42613.93163.09192.49731.78172.54393.11042.54403.3653
H114.73033.51932.19371.10404.87515.77123.84063.78862.52672.54391.78981.78995.8234
H124.23032.81272.19391.10514.87395.05422.63553.13942.54053.11041.78981.79015.8075
H134.21262.81022.19131.10534.46935.28603.18282.57343.10322.54401.78991.79015.4782
H141.94493.24773.74665.23041.01032.34784.05053.60283.88933.36535.82345.80755.4782

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 112.212 C1 C2 H7 107.737
C1 C2 H8 108.151 C1 O5 H14 106.325
C2 C1 O5 109.292 C2 C1 O6 128.382
C2 C3 C4 111.415 C2 C3 H9 109.124
C2 C3 H10 107.985 C3 C2 H7 111.418
C3 C2 H8 108.655 C3 C4 H11 110.819
C3 C4 H12 110.769 C3 C4 H13 110.554
C4 C3 H9 109.871 C4 C3 H10 110.794
O5 C1 O6 122.325 H7 C2 H8 108.557
H9 C3 H10 107.546 H11 C4 H12 108.223
H11 C4 H13 108.220 H12 C4 H13 108.158
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.561      
2 C -0.482      
3 C -0.412      
4 C -0.596      
5 O -0.506      
6 O -0.448      
7 H 0.234      
8 H 0.242      
9 H 0.212      
10 H 0.231      
11 H 0.207      
12 H 0.203      
13 H 0.202      
14 H 0.353      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.923 1.111 0.267 1.469
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.500 5.764 0.489
y 5.764 -37.592 -1.236
z 0.489 -1.236 -35.960
Traceless
 xyz
x 0.276 5.764 0.489
y 5.764 -1.362 -1.236
z 0.489 -1.236 1.086
Polar
3z2-r22.172
x2-y21.091
xy5.764
xz0.489
yz-1.236


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.381 0.037 -0.335
y 0.037 6.783 0.078
z -0.335 0.078 5.239


<r2> (average value of r2) Å2
<r2> 210.854
(<r2>)1/2 14.521