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/TZVP

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/TZVP
 hartrees
Energy at 0K-307.456212
Energy at 298.15K-307.465409
HF Energy-307.456212
Nuclear repulsion energy237.099508
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/TZVP
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 3619 3578 38.48      
2 A 3044 3009 30.12      
3 A 3038 3003 50.58      
4 A 3015 2981 0.00      
5 A 2993 2959 1.73      
6 A 2986 2952 20.93      
7 A 2966 2932 5.91      
8 A 2964 2930 23.43      
9 A 1760 1740 258.54      
10 A 1460 1443 8.79      
11 A 1453 1436 8.71      
12 A 1443 1427 3.64      
13 A 1407 1390 15.96      
14 A 1368 1353 2.66      
15 A 1365 1350 48.77      
16 A 1309 1295 25.01      
17 A 1287 1272 0.03      
18 A 1244 1230 3.47      
19 A 1212 1198 0.07      
20 A 1123 1110 120.89      
21 A 1088 1075 1.24      
22 A 1072 1060 137.72      
23 A 1031 1019 22.00      
24 A 913 903 11.60      
25 A 860 850 1.07      
26 A 842 832 9.75      
27 A 730 722 15.32      
28 A 642 635 80.82      
29 A 614 607 21.42      
30 A 506 500 24.25      
31 A 439 434 14.42      
32 A 336 332 2.60      
33 A 239 237 0.09      
34 A 173 171 1.96      
35 A 94 93 0.20      
36 A 32 32 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 25332.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 25043.9 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/TZVP
ABC
0.29643 0.06058 0.05175

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.155 -0.078 0.000
C2 -0.218 0.554 0.001
C3 -1.361 -0.460 -0.000
C4 -2.734 0.214 -0.000
O5 2.139 0.874 -0.000
O6 1.400 -1.268 0.000
H7 -0.278 1.222 0.877
H8 -0.278 1.223 -0.875
H9 -1.260 -1.117 0.877
H10 -1.259 -1.116 -0.878
H11 -3.541 -0.532 -0.001
H12 -2.870 0.851 0.888
H13 -2.869 0.852 -0.888
H14 2.987 0.383 -0.001

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.51162.54433.89941.36941.21522.12432.12422.77112.77074.71784.22484.22461.8889
C21.51161.52752.53822.37892.43731.10361.10362.15562.15563.49592.81192.81183.2095
C32.54431.52751.52943.74532.87672.18402.18401.10101.10102.18162.18722.18724.4282
C43.89942.53821.52944.91714.39152.79562.79522.17132.17131.09941.10131.10135.7227
O51.36942.37893.74534.91712.26622.59502.59404.03574.03485.85165.08725.08640.9797
O61.21522.43732.87674.39152.26623.12843.12882.80472.80474.99584.84884.84882.2898
H72.12431.10362.18402.79562.59503.12841.75252.53683.08413.80722.61833.15723.4833
H82.12421.10362.18402.79522.59403.12881.75253.08402.53683.80693.15692.61783.4826
H92.77112.15561.10102.17134.03572.80472.53683.08401.75522.51362.54273.09564.5883
H102.77072.15561.10102.17134.03482.80473.08412.53681.75522.51363.09562.54274.5874
H114.71783.49592.18161.09945.85164.99583.80723.80692.51362.51361.77551.77556.5915
H124.22482.81192.18721.10135.08724.84882.61833.15692.54273.09561.77551.77615.9420
H134.22462.81182.18721.10135.08644.84883.15722.61783.09562.54271.77551.77615.9413
H141.88893.20954.42825.72270.97972.28983.48333.48264.58834.58746.59155.94205.9413

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 113.684 C1 C2 H7 107.613
C1 C2 H8 107.604 C1 O5 H14 105.855
C2 C1 O5 111.223 C2 C1 O6 126.371
C2 C3 C4 112.266 C2 C3 H9 109.111
C2 C3 H10 109.107 C3 C2 H7 111.191
C3 C2 H8 111.183 C3 C4 H11 111.120
C3 C4 H12 111.451 C3 C4 H13 111.451
C4 C3 H9 110.212 C4 C3 H10 110.211
O5 C1 O6 122.406 H7 C2 H8 105.116
H9 C3 H10 105.714 H11 C4 H12 107.565
H11 C4 H13 107.564 H12 C4 H13 107.487
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.120      
2 C -0.247      
3 C -0.205      
4 C -0.359      
5 O -0.236      
6 O -0.258      
7 H 0.144      
8 H 0.144      
9 H 0.128      
10 H 0.128      
11 H 0.135      
12 H 0.115      
13 H 0.115      
14 H 0.277      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.409 1.406 0.000 1.464
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.796 1.619 -0.002
y 1.619 -42.346 0.001
z -0.002 0.001 -36.487
Traceless
 xyz
x 6.621 1.619 -0.002
y 1.619 -7.705 0.001
z -0.002 0.001 1.084
Polar
3z2-r22.168
x2-y29.550
xy1.619
xz-0.002
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.096 0.014 -0.001
y 0.014 8.472 0.000
z -0.001 0.000 6.621


<r2> (average value of r2) Å2
<r2> 215.432
(<r2>)1/2 14.678