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: HSEh1PBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-307.433056
Energy at 298.15K-307.442452
HF Energy-307.433056
Nuclear repulsion energy239.064704
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 HSEh1PBE/aug-cc-pVDZ
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 3788 3645 66.75      
2 A 3152 3033 22.89      
3 A 3138 3020 28.47      
4 A 3131 3013 27.52      
5 A 3103 2985 0.64      
6 A 3082 2965 18.22      
7 A 3062 2946 11.42      
8 A 3049 2934 25.10      
9 A 1837 1767 348.12      
10 A 1482 1426 9.62      
11 A 1470 1415 9.85      
12 A 1468 1412 1.23      
13 A 1457 1402 12.85      
14 A 1394 1341 24.52      
15 A 1387 1334 50.56      
16 A 1362 1310 10.76      
17 A 1313 1263 0.91      
18 A 1275 1227 0.91      
19 A 1254 1207 53.09      
20 A 1208 1162 125.90      
21 A 1114 1072 9.30      
22 A 1080 1040 43.13      
23 A 1073 1033 28.85      
24 A 934 898 3.33      
25 A 894 860 0.83      
26 A 877 843 7.38      
27 A 755 726 29.67      
28 A 744 715 8.22      
29 A 630 606 74.26      
30 A 587 565 48.79      
31 A 429 413 3.30      
32 A 332 319 1.04      
33 A 244 235 0.02      
34 A 185 178 0.11      
35 A 93 89 0.41      
36 A 31 29 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 26205.4 cm-1
Scaled (by 0.9622) Zero Point Vibrational Energy (zpe) 25214.9 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 HSEh1PBE/aug-cc-pVDZ
ABC
0.27178 0.06214 0.05586

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.168 -0.132 0.105
C2 -0.240 -0.192 0.621
C3 -1.255 0.096 -0.492
C4 -2.689 0.006 0.007
O5 1.622 1.139 0.012
O6 1.840 -1.079 -0.229
H7 -0.399 -1.198 1.027
H8 -0.360 0.542 1.430
H9 -1.098 -0.621 -1.311
H10 -1.062 1.097 -0.904
H11 -3.402 0.213 -0.802
H12 -2.911 -0.996 0.401
H13 -2.876 0.732 0.812
H14 2.513 1.084 -0.362

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50122.50583.86131.35291.20862.10742.13192.71662.73974.67194.18024.19541.8725
C21.50121.53342.53262.36862.41641.09661.09882.15722.15983.49062.79782.79953.1901
C32.50581.53341.52183.10073.32102.17152.16621.09981.09932.17252.17582.17573.8973
C43.86132.53261.52184.45734.66392.78172.78122.16002.16051.09791.09921.09945.3258
O51.35292.36863.10074.45732.24223.25212.50893.49882.83635.17235.02544.58640.9685
O61.20862.41643.32104.66392.24222.56993.19743.16433.69015.42924.79375.15822.2692
H72.10741.09662.17152.78173.25212.56991.78722.50783.07223.78892.59713.14793.9518
H82.13191.09882.16622.78122.50893.19741.78723.06752.49973.78683.15122.59743.4295
H92.71662.15721.09982.16003.49883.16432.50783.06751.76552.50262.52233.08234.1042
H102.73972.15981.09932.16052.83633.69013.07222.49971.76552.50273.08242.52363.6165
H114.67193.49062.17251.09795.17235.42923.78893.78682.50262.50271.77481.77505.9948
H124.18022.79782.17581.09925.02544.79372.59713.15122.52233.08241.77481.77595.8592
H134.19542.79952.17571.09944.58645.15823.14792.59743.08232.52361.77501.77595.5270
H141.87253.19013.89735.32580.96852.26923.95183.42954.10423.61655.99485.85925.5270

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 111.328 C1 C2 H7 107.412
C1 C2 H8 109.182 C1 O5 H14 106.349
C2 C1 O5 112.070 C2 C1 O6 125.841
C2 C3 C4 111.979 C2 C3 H9 108.896
C2 C3 H10 109.129 C3 C2 H7 110.211
C3 C2 H8 109.658 C3 C4 H11 111.013
C3 C4 H12 111.199 C3 C4 H13 111.186
C4 C3 H9 109.909 C4 C3 H10 109.978
O5 C1 O6 122.066 H7 C2 H8 108.991
H9 C3 H10 106.804 H11 C4 H12 107.760
H11 C4 H13 107.769 H12 C4 H13 107.751
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.948      
2 C 0.483      
3 C 0.468      
4 C 0.480      
5 O -0.501      
6 O -0.621      
7 H -0.239      
8 H -0.229      
9 H -0.272      
10 H -0.278      
11 H -0.154      
12 H -0.124      
13 H -0.124      
14 H 0.162      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.282 1.449 0.232 1.948
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.914 5.032 -0.188
y 5.032 -40.350 -1.410
z -0.188 -1.410 -36.308
Traceless
 xyz
x 2.415 5.032 -0.188
y 5.032 -4.240 -1.410
z -0.188 -1.410 1.824
Polar
3z2-r23.648
x2-y24.437
xy5.032
xz-0.188
yz-1.410


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.362 -0.082 -0.328
y -0.082 8.401 0.034
z -0.328 0.034 7.417


<r2> (average value of r2) Å2
<r2> 207.830
(<r2>)1/2 14.416