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: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-307.660042
Energy at 298.15K-307.669452
HF Energy-307.660042
Nuclear repulsion energy239.042400
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 mPW1PW91/6-31+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 3822 3637 72.59      
2 A 3164 3011 21.47      
3 A 3150 2998 28.48      
4 A 3144 2993 29.35      
5 A 3118 2968 0.28      
6 A 3088 2939 20.80      
7 A 3073 2925 9.50      
8 A 3063 2916 27.08      
9 A 1853 1764 378.68      
10 A 1516 1443 9.94      
11 A 1508 1435 11.01      
12 A 1504 1432 1.72      
13 A 1485 1414 9.48      
14 A 1426 1357 6.20      
15 A 1398 1331 47.78      
16 A 1383 1316 52.43      
17 A 1333 1269 3.13      
18 A 1299 1236 3.78      
19 A 1263 1202 16.06      
20 A 1216 1157 142.16      
21 A 1125 1070 7.99      
22 A 1093 1040 74.93      
23 A 1068 1017 6.11      
24 A 936 891 1.87      
25 A 901 857 1.77      
26 A 885 843 8.37      
27 A 762 725 14.21      
28 A 734 699 36.16      
29 A 628 598 82.68      
30 A 582 554 51.49      
31 A 432 412 3.52      
32 A 333 317 1.19      
33 A 250 238 0.03      
34 A 187 178 0.07      
35 A 97 92 0.32      
36 A 36 34 0.49      

Unscaled Zero Point Vibrational Energy (zpe) 26427.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 25153.3 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 mPW1PW91/6-31+G**
ABC
0.27683 0.06196 0.05524

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.181 -0.142 0.081
C2 -0.236 -0.363 0.532
C3 -1.265 0.216 -0.448
C4 -2.695 -0.036 0.013
O5 1.523 1.164 0.103
O6 1.953 -1.001 -0.279
H7 -0.375 -1.440 0.645
H8 -0.364 0.107 1.513
H9 -1.111 -0.231 -1.436
H10 -1.091 1.291 -0.558
H11 -3.416 0.378 -0.697
H12 -2.900 -1.107 0.108
H13 -2.885 0.426 0.987
H14 2.435 1.220 -0.214

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50322.52783.87811.35071.20952.10292.12102.74962.76054.69044.19314.20411.8756
C21.50321.53442.53442.36862.41991.09151.09542.15752.15713.48812.79792.80133.1939
C32.52781.53441.52402.99553.44462.17482.16091.09561.09412.17092.17562.17453.8414
C43.87812.53441.52404.38644.75642.78452.77572.15632.15941.09311.09421.09445.2873
O51.35072.36862.99554.38642.24003.26752.58183.35442.69855.06404.97164.55570.9679
O61.20952.41993.44464.75642.24002.54283.13133.36433.82005.55844.86945.20052.2735
H72.10291.09152.17482.78453.26752.54281.77362.51643.06853.78812.60273.14653.9639
H82.12101.09542.16092.77572.58183.13131.77363.06092.49373.77753.14292.59523.4727
H92.74962.15751.09562.15633.35443.36432.51643.06091.75752.49562.52013.07434.0221
H102.76052.15711.09412.15942.69853.82003.06852.49371.75752.50163.07682.52083.5435
H114.69043.48812.17091.09315.06405.55843.78813.77752.49562.50161.76601.76635.9310
H124.19312.79792.17561.09424.97164.86942.60273.14292.52013.07681.76601.76745.8297
H134.20412.80132.17451.09444.55575.20053.14652.59523.07432.52081.76631.76745.5120
H141.87563.19393.84145.28730.96792.27353.96393.47274.02213.54355.93105.82975.5120

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 112.640 C1 C2 H7 107.213
C1 C2 H8 108.397 C1 O5 H14 106.815
C2 C1 O5 112.082 C2 C1 O6 125.932
C2 C3 C4 111.921 C2 C3 H9 109.099
C2 C3 H10 109.153 C3 C2 H7 110.700
C3 C2 H8 109.377 C3 C4 H11 111.020
C3 C4 H12 111.330 C3 C4 H13 111.227
C4 C3 H9 109.715 C4 C3 H10 110.045
O5 C1 O6 121.983 H7 C2 H8 108.390
H9 C3 H10 106.767 H11 C4 H12 107.682
H11 C4 H13 107.698 H12 C4 H13 107.708
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.283      
2 C -0.329      
3 C -0.124      
4 C -0.610      
5 O -0.423      
6 O -0.439      
7 H 0.197      
8 H 0.194      
9 H 0.178      
10 H 0.188      
11 H 0.174      
12 H 0.170      
13 H 0.168      
14 H 0.373      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.385 1.401 0.337 1.999
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.484 5.652 0.339
y 5.652 -39.673 -1.576
z 0.339 -1.576 -36.445
Traceless
 xyz
x 1.574 5.652 0.339
y 5.652 -3.208 -1.576
z 0.339 -1.576 1.634
Polar
3z2-r23.268
x2-y23.188
xy5.652
xz0.339
yz-1.576


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.505 -0.180 -0.344
y -0.180 7.873 0.085
z -0.344 0.085 6.703


<r2> (average value of r2) Å2
<r2> 208.565
(<r2>)1/2 14.442