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: B3LYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-307.613732
Energy at 298.15K-307.623137
HF Energy-307.613732
Nuclear repulsion energy236.527663
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 B3LYP/6-31G
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 3608 3471 25.26      
2 A 3137 3017 38.18      
3 A 3121 3003 35.46      
4 A 3116 2997 29.03      
5 A 3092 2975 0.38      
6 A 3060 2944 25.69      
7 A 3047 2931 6.67      
8 A 3040 2925 27.70      
9 A 1752 1686 251.71      
10 A 1556 1497 8.04      
11 A 1545 1486 8.11      
12 A 1543 1484 2.69      
13 A 1522 1464 4.55      
14 A 1463 1407 3.00      
15 A 1406 1352 4.56      
16 A 1379 1326 53.14      
17 A 1350 1299 2.92      
18 A 1334 1284 6.66      
19 A 1285 1236 0.80      
20 A 1198 1152 88.98      
21 A 1138 1095 10.10      
22 A 1088 1047 145.10      
23 A 1054 1014 21.40      
24 A 931 896 1.72      
25 A 915 880 4.82      
26 A 867 834 18.37      
27 A 778 749 5.45      
28 A 708 681 72.39      
29 A 622 599 101.59      
30 A 569 548 48.74      
31 A 431 415 3.93      
32 A 338 325 1.65      
33 A 241 232 0.05      
34 A 194 186 0.08      
35 A 95 91 0.20      
36 A 43 42 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 26281.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 25283.1 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 B3LYP/6-31G
ABC
0.27057 0.06112 0.05397

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.187 -0.155 0.073
C2 -0.233 -0.434 0.484
C3 -1.278 0.259 -0.425
C4 -2.715 -0.055 0.015
O5 1.479 1.197 0.127
O6 2.027 -0.985 -0.282
H7 -0.369 -1.519 0.471
H8 -0.369 -0.084 1.515
H9 -1.128 -0.069 -1.462
H10 -1.102 1.340 -0.405
H11 -3.442 0.440 -0.638
H12 -2.915 -1.133 -0.017
H13 -2.899 0.289 1.041
H14 2.408 1.352 -0.153

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50372.54783.90351.38511.23372.10672.12272.77802.77574.72054.21764.22181.9531
C21.50371.54772.55422.39152.44951.09361.09812.17182.16633.50982.81672.81763.2508
C32.54781.54771.53582.96413.53442.18792.16931.09821.09582.18242.18742.18563.8536
C43.90352.55421.53584.37894.84222.80232.78472.16872.17381.09561.09691.09715.3153
O51.38512.39152.96414.37892.28743.30352.64293.30532.63985.03774.97624.56370.9822
O61.23372.44953.53444.84222.28742.56843.12853.49063.90125.66334.95195.25752.3715
H72.10671.09362.18792.80233.30352.56841.77482.53203.07893.80892.62073.16064.0427
H82.12271.09812.16932.78472.64293.12851.77483.07222.50083.78873.15152.60043.5436
H92.77802.17181.09822.16873.30533.49062.53203.07221.76202.50892.53263.08704.0286
H102.77572.16631.09582.17382.63983.90123.07892.50081.76202.51773.09112.53473.5190
H114.72053.50982.18241.09565.03775.66333.80893.78872.50892.51771.77131.77145.9401
H124.21762.81672.18741.09694.97624.95192.62073.15152.53263.09111.77131.77255.8759
H134.22182.81762.18561.09714.56375.25753.16062.60043.08702.53471.77141.77255.5422
H141.95313.25083.85365.31530.98222.37154.04273.54364.02863.51905.94015.87595.5422

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 113.212 C1 C2 H7 107.357
C1 C2 H8 108.338 C1 O5 H14 110.013
C2 C1 O5 111.692 C2 C1 O6 126.690
C2 C3 C4 111.854 C2 C3 H9 109.151
C2 C3 H10 108.860 C3 C2 H7 110.677
C3 C2 H8 108.964 C3 C4 H11 110.955
C3 C4 H12 111.278 C3 C4 H13 111.124
C4 C3 H9 109.724 C4 C3 H10 110.264
O5 C1 O6 121.618 H7 C2 H8 108.147
H9 C3 H10 106.850 H11 C4 H12 107.777
H11 C4 H13 107.773 H12 C4 H13 107.774
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.468      
2 C -0.278      
3 C -0.246      
4 C -0.407      
5 O -0.556      
6 O -0.410      
7 H 0.164      
8 H 0.167      
9 H 0.140      
10 H 0.160      
11 H 0.140      
12 H 0.137      
13 H 0.137      
14 H 0.383      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.266 1.278 0.311 1.826
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.153 6.139 0.435
y 6.139 -39.339 -1.729
z 0.435 -1.729 -36.175
Traceless
 xyz
x 1.604 6.139 0.435
y 6.139 -3.174 -1.729
z 0.435 -1.729 1.571
Polar
3z2-r23.141
x2-y23.186
xy6.139
xz0.435
yz-1.729


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.371 -0.127 -0.371
y -0.127 7.036 0.153
z -0.371 0.153 5.539


<r2> (average value of r2) Å2
<r2> 211.797
(<r2>)1/2 14.553