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: B3PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/STO-3G
 hartrees
Energy at 0K-303.636752
Energy at 298.15K-303.645649
HF Energy-303.636752
Nuclear repulsion energy232.897428
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 B3PW91/STO-3G
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 3731 3302 16.79      
2 A 3508 3104 2.10      
3 A 3505 3102 1.17      
4 A 3485 3084 0.30      
5 A 3468 3069 0.43      
6 A 3369 2982 2.37      
7 A 3361 2974 0.86      
8 A 3333 2950 2.05      
9 A 1903 1684 74.76      
10 A 1698 1503 3.15      
11 A 1690 1496 4.34      
12 A 1674 1481 0.93      
13 A 1643 1454 1.30      
14 A 1580 1399 0.58      
15 A 1519 1344 9.57      
16 A 1485 1314 21.17      
17 A 1429 1265 0.19      
18 A 1400 1239 2.37      
19 A 1367 1209 5.17      
20 A 1293 1144 89.50      
21 A 1207 1068 7.24      
22 A 1152 1020 15.83      
23 A 1140 1009 25.25      
24 A 996 881 2.12      
25 A 949 840 4.75      
26 A 891 789 2.24      
27 A 799 708 5.13      
28 A 680 602 42.51      
29 A 624 552 36.33      
30 A 532 471 27.83      
31 A 395 350 1.61      
32 A 333 295 1.21      
33 A 238 211 0.00      
34 A 184 163 0.15      
35 A 86 76 0.06      
36 A 27 24 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 28335.9 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 25077.3 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 B3PW91/STO-3G
ABC
0.25831 0.05911 0.05276

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.205 -0.151 0.093
C2 -0.261 -0.301 0.595
C3 -1.292 0.128 -0.490
C4 -2.751 -0.010 0.011
O5 1.568 1.220 0.062
O6 1.992 -1.056 -0.258
H7 -0.422 -1.356 0.873
H8 -0.394 0.320 1.497
H9 -1.152 -0.494 -1.390
H10 -1.096 1.174 -0.777
H11 -3.456 0.299 -0.775
H12 -2.973 -1.052 0.283
H13 -2.920 0.622 0.895
H14 2.528 1.174 -0.295

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.55712.57933.95931.41941.24932.16882.17912.80532.79444.76234.27784.27311.9127
C21.55711.55692.57392.43842.52521.10201.10302.18412.18093.52742.83062.83073.2789
C32.57931.55691.54843.11103.49902.19452.18921.10281.10272.18922.19392.19363.9658
C43.95932.57391.54844.49094.86482.82522.80642.18032.18191.09961.09951.09955.4190
O51.41942.43843.11104.49092.33733.35422.59173.52742.79335.17575.08224.60391.0260
O61.24932.52523.49904.86482.33732.68273.26573.38863.84465.63804.99475.31782.2931
H72.16881.10202.19452.82523.35422.68271.78792.52933.09473.82902.63623.18674.0576
H82.17911.10302.18922.80642.59173.26571.78793.09382.52873.81323.16332.61533.5327
H92.80532.18411.10282.18033.52743.38862.52933.09381.77812.51342.53533.09714.1858
H102.79442.18091.10272.18192.79333.84463.09472.52871.77812.51703.09842.53503.6563
H114.76233.52742.18921.09965.17575.63803.82903.81322.51342.51701.78241.78256.0669
H124.27782.83062.19391.09955.08224.99472.63623.16332.53533.09841.78241.78235.9623
H134.27312.83072.19361.09954.60395.31783.18672.61533.09712.53501.78251.78235.6045
H141.91273.27893.96585.41901.02602.29314.05763.53274.18583.65636.06695.96235.6045

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 111.849 C1 C2 H7 108.074
C1 C2 H8 108.809 C1 O5 H14 101.704
C2 C1 O5 109.921 C2 C1 O6 127.921
C2 C3 C4 111.967 C2 C3 H9 109.216
C2 C3 H10 108.974 C3 C2 H7 110.071
C3 C2 H8 109.598 C3 C4 H11 110.382
C3 C4 H12 110.756 C3 C4 H13 110.733
C4 C3 H9 109.498 C4 C3 H10 109.624
O5 C1 O6 122.155 H7 C2 H8 108.360
H9 C3 H10 107.453 H11 C4 H12 108.294
H11 C4 H13 108.302 H12 C4 H13 108.289
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.201      
2 C -0.160      
3 C -0.134      
4 C -0.230      
5 O -0.223      
6 O -0.223      
7 H 0.088      
8 H 0.089      
9 H 0.078      
10 H 0.081      
11 H 0.079      
12 H 0.077      
13 H 0.077      
14 H 0.200      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.458 0.798 0.073 0.923
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.256 3.586 -0.185
y 3.586 -35.936 -1.053
z -0.185 -1.053 -32.973
Traceless
 xyz
x 2.199 3.586 -0.185
y 3.586 -3.322 -1.053
z -0.185 -1.053 1.123
Polar
3z2-r22.246
x2-y23.681
xy3.586
xz-0.185
yz-1.053


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.944 0.045 -0.413
y 0.045 4.110 0.074
z -0.413 0.074 2.848


<r2> (average value of r2) Å2
<r2> 215.016
(<r2>)1/2 14.663