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All results from a given calculation for C4H6O2 (γ–Butyrolactone)

using model chemistry: B97D3/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/6-311G*
 hartrees
Energy at 0K-306.382105
Energy at 298.15K 
HF Energy-306.382105
Nuclear repulsion energy239.521057
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 B97D3/6-311G*
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 3080 3080 20.28      
2 A 3070 3070 43.13      
3 A 3057 3057 25.05      
4 A 3007 3007 34.55      
5 A 2995 2995 11.87      
6 A 2984 2984 54.97      
7 A 1823 1823 369.07      
8 A 1508 1508 0.31      
9 A 1483 1483 6.18      
10 A 1451 1451 8.30      
11 A 1370 1370 10.93      
12 A 1324 1324 0.80      
13 A 1282 1282 5.66      
14 A 1243 1243 5.34      
15 A 1197 1197 6.23      
16 A 1182 1182 2.70      
17 A 1115 1115 181.29      
18 A 1078 1078 27.17      
19 A 1021 1021 57.91      
20 A 984 984 39.50      
21 A 918 918 3.85      
22 A 880 880 10.44      
23 A 854 854 28.57      
24 A 781 781 4.88      
25 A 665 665 3.62      
26 A 625 625 4.50      
27 A 519 519 2.73      
28 A 476 476 2.37      
29 A 208 208 2.14      
30 A 148 148 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 21161.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21161.9 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 B97D3/6-311G*
ABC
0.24085 0.11826 0.08449

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.894 0.001 0.003
C2 -0.031 1.208 0.175
C3 -1.406 0.669 -0.228
C4 -1.274 -0.819 0.133
O5 0.128 -1.143 -0.046
O6 2.093 -0.025 -0.074
H7 0.334 2.051 -0.418
H8 -0.000 1.508 1.232
H9 -1.557 0.782 -1.309
H10 -2.245 1.150 0.286
H11 -1.849 -1.491 -0.510
H12 -1.538 -1.012 1.182

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53072.40622.32141.37741.20152.16732.14052.88783.35453.16452.8863
C21.53071.53082.37842.36672.46851.09321.09972.17042.21733.32582.8666
C32.40621.53081.53712.38083.57022.22992.19411.09721.09522.22302.1987
C42.32142.37841.53711.44973.46513.33582.87192.17362.20081.09371.0992
O51.37742.36672.38081.44972.26063.22242.94602.85293.31612.06032.0739
O61.20152.46853.57023.46512.26062.74342.90463.93654.50834.22813.9666
H72.16731.09322.22993.33583.22242.74341.76892.44492.82054.16193.9307
H82.14051.09972.19412.87192.94602.90461.76893.06732.46233.93082.9532
H92.88782.17041.09722.17362.85293.93652.44493.06731.77562.42733.0707
H103.35452.21731.09522.20083.31614.50832.82052.46231.77562.78672.4453
H113.16453.32582.22301.09372.06034.22814.16193.93082.42732.78671.7864
H122.88632.86662.19871.09922.07393.96663.93072.95323.07072.44531.7864

picture of γ–Butyrolactone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 103.618 C1 C2 H7 110.265
C1 C2 H8 107.805 C1 O5 C4 110.368
C2 C1 O5 108.832 C2 C1 O6 128.842
C2 C3 C4 101.655 C2 C3 H9 110.262
C2 C3 H10 114.182 C3 C2 H7 115.370
C3 C2 H8 111.998 C3 C4 O5 105.675
C3 C4 H11 114.291 C3 C4 H12 111.960
C4 C3 H9 110.082 C4 C3 H10 112.379
O5 C1 O6 122.325 O5 C4 H11 107.377
O5 C4 H12 108.116 H7 C2 H8 107.542
H9 C3 H10 108.171 H11 C4 H12 109.102
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.403      
2 C -0.523      
3 C -0.446      
4 C -0.193      
5 O -0.272      
6 O -0.304      
7 H 0.240      
8 H 0.235      
9 H 0.221      
10 H 0.217      
11 H 0.216      
12 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.134 1.450 0.391 4.398
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.068 1.781 0.239
y 1.781 -35.386 -0.069
z 0.239 -0.069 -33.464
Traceless
 xyz
x -5.643 1.781 0.239
y 1.781 1.380 -0.069
z 0.239 -0.069 4.263
Polar
3z2-r28.525
x2-y2-4.682
xy1.781
xz0.239
yz-0.069


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.497 0.473 -0.093
y 0.473 6.914 0.024
z -0.093 0.024 5.652


<r2> (average value of r2) Å2
<r2> 140.997
(<r2>)1/2 11.874