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: BLYP/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 BLYP/aug-cc-pVDZ
 hartrees
Energy at 0K-306.433698
Energy at 298.15K 
HF Energy-306.433698
Nuclear repulsion energy237.330622
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 BLYP/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 3056 3051 15.90      
2 A 3049 3043 22.57      
3 A 3037 3031 14.90      
4 A 2991 2986 23.96      
5 A 2979 2974 7.77      
6 A 2970 2964 42.52      
7 A 1753 1749 381.18      
8 A 1469 1466 0.26      
9 A 1447 1445 5.02      
10 A 1415 1412 7.10      
11 A 1328 1326 11.90      
12 A 1287 1285 1.57      
13 A 1246 1244 4.39      
14 A 1205 1203 3.84      
15 A 1166 1164 5.50      
16 A 1148 1146 3.23      
17 A 1093 1091 175.55      
18 A 1052 1050 15.37      
19 A 996 994 35.46      
20 A 954 952 53.10      
21 A 898 897 7.35      
22 A 859 858 7.15      
23 A 829 828 35.35      
24 A 766 765 5.27      
25 A 650 649 1.83      
26 A 616 615 5.72      
27 A 516 515 3.24      
28 A 464 463 2.22      
29 A 191 190 1.53      
30 A 140 139 1.29      

Unscaled Zero Point Vibrational Energy (zpe) 20784.7 cm-1
Scaled (by 0.9981) Zero Point Vibrational Energy (zpe) 20745.2 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 BLYP/aug-cc-pVDZ
ABC
0.23721 0.11600 0.08269

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.900 0.003 0.004
C2 -0.024 1.220 0.156
C3 -1.424 0.678 -0.205
C4 -1.292 -0.829 0.123
O5 0.131 -1.152 -0.047
O6 2.114 -0.031 -0.065
H7 0.333 2.044 -0.482
H8 0.037 1.561 1.208
H9 -1.625 0.818 -1.282
H10 -2.242 1.153 0.363
H11 -1.855 -1.490 -0.555
H12 -1.567 -1.060 1.170

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53632.42942.34761.38791.21582.17352.15012.94853.36543.18302.9282
C21.53631.54422.41042.38562.48631.10161.10702.18952.22903.34772.9338
C32.42941.54421.54862.40653.61062.24282.21541.10441.10322.23862.2208
C42.34762.41041.54861.46863.50293.35612.94172.19052.21101.10201.1067
O51.38792.38562.40651.46862.27783.23132.98992.91323.33292.07772.0908
O61.21582.48633.61063.50292.27782.76522.90934.02234.53384.25694.0160
H72.17351.10162.24283.35613.23132.76521.78292.44492.85364.15743.9967
H82.15011.10702.21542.94172.98992.90931.78293.08422.46453.99943.0722
H92.94852.18951.10442.19052.91324.02232.44493.08421.78862.43063.0889
H103.36542.22901.10322.21103.33294.53382.85362.46451.78862.82452.4498
H113.18303.34772.23861.10202.07774.25694.15743.99942.43062.82451.8016
H122.92822.93382.22081.10672.09084.01603.99673.07223.08892.44981.8016

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 104.115 C1 C2 H7 109.874
C1 C2 H8 107.758 C1 O5 C4 110.505
C2 C1 O5 109.233 C2 C1 O6 128.857
C2 C3 C4 102.405 C2 C3 H9 110.409
C2 C3 H10 113.656 C3 C2 H7 114.891
C3 C2 H8 112.312 C3 C4 O5 105.767
C3 C4 H11 114.196 C3 C4 H12 112.452
C4 C3 H9 110.187 C4 C3 H10 111.879
O5 C1 O6 121.909 O5 C4 H11 106.986
O5 C4 H12 107.727 H7 C2 H8 107.653
H9 C3 H10 108.230 H11 C4 H12 109.315
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.498      
2 C 0.866      
3 C 1.103      
4 C 1.415      
5 O -0.495      
6 O -0.501      
7 H -0.425      
8 H -0.412      
9 H -0.557      
10 H -0.445      
11 H -0.505      
12 H -0.542      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.427 1.533 0.369 4.700
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.772 1.782 0.240
y 1.782 -36.175 -0.117
z 0.240 -0.117 -34.325
Traceless
 xyz
x -6.522 1.782 0.240
y 1.782 1.873 -0.117
z 0.240 -0.117 4.649
Polar
3z2-r29.297
x2-y2-5.597
xy1.782
xz0.240
yz-0.117


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.146 0.354 -0.089
y 0.354 8.447 0.036
z -0.089 0.036 6.685


<r2> (average value of r2) Å2
<r2> 144.048
(<r2>)1/2 12.002