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/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-307.356955
Energy at 298.15K-307.366203
HF Energy-307.356955
Nuclear repulsion energy237.040214
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/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 3573 3552 36.33      
2 A 3055 3038 35.17      
3 A 3053 3036 26.96      
4 A 3043 3026 12.94      
5 A 3016 2999 0.40      
6 A 2977 2959 32.10      
7 A 2966 2949 22.54      
8 A 2965 2947 2.83      
9 A 1784 1774 273.39      
10 A 1432 1424 4.84      
11 A 1420 1412 7.10      
12 A 1417 1409 1.07      
13 A 1392 1384 5.14      
14 A 1349 1341 3.32      
15 A 1333 1325 44.58      
16 A 1322 1314 9.99      
17 A 1273 1266 2.70      
18 A 1232 1225 2.79      
19 A 1205 1198 19.40      
20 A 1160 1153 131.10      
21 A 1083 1077 8.13      
22 A 1051 1045 23.21      
23 A 1034 1028 42.51      
24 A 907 901 1.99      
25 A 857 852 2.26      
26 A 841 836 8.95      
27 A 737 733 14.12      
28 A 695 691 46.52      
29 A 607 604 54.33      
30 A 552 549 33.55      
31 A 421 418 2.88      
32 A 326 324 0.83      
33 A 248 247 0.02      
34 A 184 183 0.00      
35 A 96 96 0.15      
36 A 32 32 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 25319.9 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 25173.0 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/cc-pVDZ
ABC
0.27941 0.06116 0.05364

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.202 -0.148 0.053
C2 -0.230 -0.506 0.391
C3 -1.288 0.316 -0.365
C4 -2.715 -0.082 0.017
O5 1.422 1.200 0.146
O6 2.085 -0.931 -0.260
H7 -0.344 -1.591 0.198
H8 -0.360 -0.352 1.486
H9 -1.139 0.182 -1.458
H10 -1.120 1.393 -0.159
H11 -3.463 0.516 -0.541
H12 -2.911 -1.152 -0.202
H13 -2.902 0.074 1.100
H14 2.373 1.306 -0.089

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.51502.56743.91851.36911.22002.11962.13032.80622.79534.75014.24184.24171.8720
C21.51501.53812.54882.38762.44191.10741.11322.17272.16833.51682.82052.82443.2078
C32.56741.53811.52992.89613.59702.20022.17511.11171.10962.19172.19442.19293.8023
C43.91852.54881.52994.33334.88232.81652.78882.17482.17971.10831.11011.11045.2749
O51.36912.38762.89614.33332.26803.30282.71643.18922.56754.98074.94254.56870.9851
O61.22002.44193.59704.88232.26802.55803.05983.61473.95965.74045.00075.26552.2616
H72.11961.10742.20022.81653.30282.55801.78742.55273.10343.83592.63453.18253.9816
H82.13031.11322.17512.78882.71643.05981.78743.09192.51533.80683.16152.60563.5635
H92.80622.17271.11172.17483.18923.61472.55273.09191.77622.52072.54913.10883.9333
H102.79532.16831.10962.17972.56753.95963.10342.51531.77622.53113.11262.54953.4944
H114.75013.51682.19171.10834.98075.74043.83593.80682.52072.53111.79001.79035.9066
H124.24182.82052.19441.11014.94255.00072.63453.16152.54913.11261.79001.78885.8286
H134.24172.82442.19291.11044.56875.26553.18252.60563.10882.54951.79031.78885.5455
H141.87203.20783.80235.27490.98512.26163.98163.56353.93333.49445.90665.82865.5455

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 114.472 C1 C2 H7 106.828
C1 C2 H8 107.311 C1 O5 H14 104.148
C2 C1 O5 111.655 C2 C1 O6 126.125
C2 C3 C4 112.352 C2 C3 H9 109.093
C2 C3 H10 108.876 C3 C2 H7 111.508
C3 C2 H8 109.193 C3 C4 H11 111.343
C3 C4 H12 111.451 C3 C4 H13 111.318
C4 C3 H9 109.814 C4 C3 H10 110.320
O5 C1 O6 122.218 H7 C2 H8 107.203
H9 C3 H10 106.189 H11 C4 H12 107.583
H11 C4 H13 107.596 H12 C4 H13 107.340
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.095      
2 C -0.005      
3 C -0.082      
4 C -0.052      
5 O -0.149      
6 O -0.216      
7 H 0.039      
8 H 0.054      
9 H 0.032      
10 H 0.039      
11 H 0.031      
12 H 0.035      
13 H 0.033      
14 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.093 1.205 0.303 1.654
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.648 5.268 0.529
y 5.268 -38.103 -1.060
z 0.529 -1.060 -36.094
Traceless
 xyz
x 0.450 5.268 0.529
y 5.268 -1.732 -1.060
z 0.529 -1.060 1.282
Polar
3z2-r22.564
x2-y21.455
xy5.268
xz0.529
yz-1.060


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.456 0.048 -0.301
y 0.048 7.565 0.017
z -0.301 0.017 6.159


<r2> (average value of r2) Å2
<r2> 211.610
(<r2>)1/2 14.547