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/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-307.463849
Energy at 298.15K-307.473036
HF Energy-307.463849
Nuclear repulsion energy237.249281
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/aug-cc-pVTZ
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 3615 3575 41.55      
2 A 3036 3002 28.81      
3 A 3029 2996 47.18      
4 A 3006 2973 0.01      
5 A 2984 2950 1.65      
6 A 2979 2946 20.40      
7 A 2959 2926 19.19      
8 A 2959 2925 11.53      
9 A 1750 1730 264.84      
10 A 1455 1438 7.75      
11 A 1447 1431 7.65      
12 A 1437 1421 2.92      
13 A 1399 1383 16.11      
14 A 1362 1347 10.78      
15 A 1359 1343 37.51      
16 A 1305 1290 22.42      
17 A 1282 1267 0.01      
18 A 1239 1225 2.39      
19 A 1208 1194 0.15      
20 A 1120 1107 121.88      
21 A 1083 1071 1.12      
22 A 1070 1058 139.29      
23 A 1029 1018 22.23      
24 A 910 900 9.41      
25 A 853 844 1.03      
26 A 840 831 8.98      
27 A 724 716 14.87      
28 A 640 633 69.86      
29 A 610 603 21.65      
30 A 507 501 20.89      
31 A 435 431 13.90      
32 A 333 330 2.59      
33 A 236 234 0.06      
34 A 170 168 2.09      
35 A 92 91 0.25      
36 A 37 37 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 25249.4 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 24966.6 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.29694 0.06062 0.05179

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.154 -0.077 -0.000
C2 -0.219 0.552 0.001
C3 -1.361 -0.460 -0.001
C4 -2.732 0.214 -0.000
O5 2.137 0.874 -0.000
O6 1.402 -1.267 0.000
H7 -0.278 1.220 0.877
H8 -0.278 1.223 -0.873
H9 -1.260 -1.117 0.876
H10 -1.260 -1.116 -0.878
H11 -3.540 -0.530 -0.000
H12 -2.867 0.851 0.887
H13 -2.867 0.852 -0.887
H14 2.983 0.382 -0.001

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.51022.54383.89711.36851.21502.12142.12182.77052.77024.71584.22084.22091.8852
C21.51021.52622.53612.37802.43611.10291.10282.15342.15353.49322.80842.80893.2058
C32.54381.52621.52823.74412.87792.18282.18321.10001.10002.18032.18502.18504.4242
C43.89712.53611.52824.91414.39122.79372.79332.16982.16981.09841.10031.10035.7172
O51.36852.37803.74414.91412.26402.59242.59154.03444.03365.84855.08245.08210.9784
O61.21502.43612.87794.39122.26403.12573.12762.80582.80654.99634.84664.84712.2838
H72.12141.10292.18282.79372.59243.12571.74942.53503.08183.80452.61543.15443.4785
H82.12181.10282.18322.79332.59153.12761.74943.08192.53653.80463.15252.61553.4784
H92.77052.15341.10002.16984.03442.80582.53503.08191.75372.51232.54083.09294.5839
H102.77022.15351.10002.16984.03362.80653.08182.53651.75372.51273.09292.54044.5834
H114.71583.49322.18031.09845.84854.99633.80453.80462.51232.51271.77421.77426.5859
H124.22082.80842.18501.10035.08244.84662.61543.15252.54083.09291.77421.77435.9349
H134.22092.80892.18501.10035.08214.84713.15442.61553.09292.54041.77421.77435.9348
H141.88523.20584.42425.71720.97842.28383.47853.47844.58394.58346.58595.93495.9348

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 113.810 C1 C2 H7 107.529
C1 C2 H8 107.570 C1 O5 H14 105.688
C2 C1 O5 111.302 C2 C1 O6 126.400
C2 C3 C4 112.259 C2 C3 H9 109.085
C2 C3 H10 109.094 C3 C2 H7 111.229
C3 C2 H8 111.266 C3 C4 H11 111.159
C3 C4 H12 111.420 C3 C4 H13 111.418
C4 C3 H9 110.233 C4 C3 H10 110.234
O5 C1 O6 122.297 H7 C2 H8 104.959
H9 C3 H10 105.715 H11 C4 H12 107.590
H11 C4 H13 107.592 H12 C4 H13 107.460
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.402      
2 C -0.085      
3 C -0.055      
4 C -0.715      
5 O -0.318      
6 O -0.637      
7 H 0.179      
8 H 0.179      
9 H 0.145      
10 H 0.145      
11 H 0.193      
12 H 0.190      
13 H 0.190      
14 H 0.188      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.528 1.442 0.000 1.535
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.298 1.757 -0.002
y 1.757 -42.239 0.001
z -0.002 0.001 -36.547
Traceless
 xyz
x 6.095 1.757 -0.002
y 1.757 -7.316 0.001
z -0.002 0.001 1.221
Polar
3z2-r22.442
x2-y28.941
xy1.757
xz-0.002
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.195 -0.019 -0.001
y -0.019 9.188 0.000
z -0.001 0.000 7.245


<r2> (average value of r2) Å2
<r2> 215.330
(<r2>)1/2 14.674