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 C4H6O2 (γ–Butyrolactone)

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-306.305004
Energy at 298.15K 
HF Energy-306.305004
Nuclear repulsion energy239.065658
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 B97D3/6-31G*
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 3096 3036 14.08      
2 A 3084 3023 37.64      
3 A 3074 3014 19.63      
4 A 3023 2964 27.29      
5 A 3009 2950 9.28      
6 A 2996 2938 51.76      
7 A 1839 1803 335.28      
8 A 1521 1491 0.45      
9 A 1496 1467 3.76      
10 A 1464 1436 6.52      
11 A 1378 1351 15.14      
12 A 1331 1305 1.92      
13 A 1289 1263 5.54      
14 A 1243 1219 5.31      
15 A 1201 1177 6.43      
16 A 1181 1158 2.92      
17 A 1132 1110 193.75      
18 A 1082 1061 13.30      
19 A 1029 1009 56.09      
20 A 990 970 33.53      
21 A 921 903 4.10      
22 A 884 866 9.81      
23 A 860 844 20.03      
24 A 786 770 3.97      
25 A 666 653 3.76      
26 A 624 612 4.52      
27 A 517 506 2.76      
28 A 473 464 2.64      
29 A 207 203 1.91      
30 A 147 145 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21271.1 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 20854.2 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 B97D3/6-31G*
ABC
0.24002 0.11780 0.08417

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.893 0.001 0.004
C2 -0.032 1.211 0.176
C3 -1.408 0.670 -0.229
C4 -1.275 -0.821 0.132
O5 0.127 -1.144 -0.044
O6 2.099 -0.026 -0.075
H7 0.332 2.055 -0.420
H8 -0.003 1.511 1.235
H9 -1.558 0.784 -1.312
H10 -2.249 1.150 0.287
H11 -1.852 -1.492 -0.516
H12 -1.545 -1.016 1.182

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53242.40752.32241.37861.20842.17122.14462.89023.35723.16742.8925
C21.53241.53302.38272.37052.47601.09561.10182.17392.22063.33122.8743
C32.40751.53301.53982.38353.57822.23242.19671.09931.09732.22602.2026
C42.32242.38271.53981.44963.47243.34102.87672.17722.20401.09641.1017
O51.37862.37052.38351.44962.26693.22802.95022.85743.31922.06352.0773
O61.20842.47603.57823.47242.26692.75162.91463.94454.51814.23653.9795
H72.17121.09562.23243.34103.22802.75161.77452.44672.82514.16703.9400
H82.14461.10182.19672.87672.95022.91461.77453.07202.46423.93762.9609
H92.89022.17391.09932.17722.85743.94452.44673.07201.78022.42913.0754
H103.35722.22061.09732.20403.31924.51812.82512.46421.78022.79032.4467
H113.16743.33122.22601.09642.06354.23654.16703.93762.42912.79031.7897
H122.89252.87432.20261.10172.07733.97953.94002.96093.07542.44671.7897

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 103.510 C1 C2 H7 110.315
C1 C2 H8 107.887 C1 O5 C4 110.376
C2 C1 O5 108.929 C2 C1 O6 128.824
C2 C3 C4 101.680 C2 C3 H9 110.261
C2 C3 H10 114.160 C3 C2 H7 115.252
C3 C2 H8 111.924 C3 C4 O5 105.710
C3 C4 H11 114.155 C3 C4 H12 111.925
C4 C3 H9 110.046 C4 C3 H10 112.300
O5 C1 O6 122.246 O5 C4 H11 107.483
O5 C4 H12 108.252 H7 C2 H8 107.713
H9 C3 H10 108.274 H11 C4 H12 109.023
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.596      
2 C -0.393      
3 C -0.321      
4 C -0.054      
5 O -0.426      
6 O -0.439      
7 H 0.190      
8 H 0.186      
9 H 0.170      
10 H 0.162      
11 H 0.169      
12 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.109 1.426 0.385 4.366
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.526 1.710 0.258
y 1.710 -34.769 -0.071
z 0.258 -0.071 -33.094
Traceless
 xyz
x -5.594 1.710 0.258
y 1.710 1.541 -0.071
z 0.258 -0.071 4.053
Polar
3z2-r28.107
x2-y2-4.757
xy1.710
xz0.258
yz-0.071


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.171 0.485 -0.119
y 0.485 6.502 0.034
z -0.119 0.034 5.381


<r2> (average value of r2) Å2
<r2> 141.122
(<r2>)1/2 11.879