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

using model chemistry: TPSSh/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 TPSSh/6-311G*
 hartrees
Energy at 0K-306.579812
Energy at 298.15K 
HF Energy-306.579812
Nuclear repulsion energy240.355126
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 TPSSh/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 3134 3018 23.54      
2 A 3129 3014 30.75      
3 A 3113 2998 23.93      
4 A 3061 2949 30.52      
5 A 3050 2938 10.56      
6 A 3047 2934 47.19      
7 A 1855 1787 389.66      
8 A 1548 1491 0.33      
9 A 1519 1463 5.82      
10 A 1489 1434 7.98      
11 A 1404 1352 14.77      
12 A 1354 1304 1.32      
13 A 1313 1265 6.59      
14 A 1270 1224 7.12      
15 A 1224 1179 9.10      
16 A 1206 1161 2.91      
17 A 1156 1114 208.43      
18 A 1100 1060 15.13      
19 A 1053 1014 69.64      
20 A 1007 970 26.36      
21 A 937 903 4.30      
22 A 894 861 10.78      
23 A 873 841 20.13      
24 A 800 770 4.43      
25 A 673 648 4.85      
26 A 629 606 3.94      
27 A 523 503 2.92      
28 A 482 465 3.11      
29 A 209 202 2.37      
30 A 151 145 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 21600.4 cm-1
Scaled (by 0.9632) Zero Point Vibrational Energy (zpe) 20805.5 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 TPSSh/6-311G*
ABC
0.24244 0.11909 0.08513

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.889 0.001 0.004
C2 -0.030 1.205 0.178
C3 -1.401 0.666 -0.232
C4 -1.270 -0.817 0.135
O5 0.128 -1.136 -0.045
O6 2.085 -0.026 -0.076
H7 0.334 2.048 -0.409
H8 -0.005 1.498 1.233
H9 -1.544 0.775 -1.311
H10 -2.240 1.148 0.274
H11 -1.839 -1.490 -0.506
H12 -1.531 -1.008 1.181

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52532.39652.31221.36881.19902.16082.13372.87173.34313.15042.8731
C21.52531.52892.37242.35732.46081.08961.09592.16602.21213.31732.8556
C32.39651.52891.53372.37103.55772.22532.18871.09351.09152.21752.1944
C42.31222.37241.53371.44513.45323.32822.85842.16742.19561.08951.0947
O51.36882.35732.37101.44512.24993.21122.93152.83673.30512.05112.0664
O61.19902.46083.55773.45322.24992.73442.89903.91614.49474.21043.9513
H72.16081.08962.22533.32823.21122.73441.76472.44182.81124.15353.9169
H82.13371.09592.18872.85842.93152.89901.76473.06042.45723.91432.9349
H92.87172.16601.09352.16742.83673.91612.44183.06041.77092.42183.0634
H103.34312.21211.09152.19563.30514.49472.81122.45721.77092.77992.4437
H113.15043.31732.21751.08952.05114.21044.15353.91432.42182.77991.7807
H122.87312.85562.19441.09472.06643.95133.91692.93493.06342.44371.7807

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 103.381 C1 C2 H7 110.339
C1 C2 H8 107.860 C1 O5 C4 110.483
C2 C1 O5 108.964 C2 C1 O6 128.794
C2 C3 C4 101.549 C2 C3 H9 110.277
C2 C3 H10 114.130 C3 C2 H7 115.370
C3 C2 H8 111.939 C3 C4 O5 105.454
C3 C4 H11 114.358 C3 C4 H12 112.129
C4 C3 H9 110.047 C4 C3 H10 112.426
O5 C1 O6 122.240 O5 C4 H11 107.212
O5 C4 H12 108.107 H7 C2 H8 107.701
H9 C3 H10 108.286 H11 C4 H12 109.227
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.451      
2 C -0.540      
3 C -0.459      
4 C -0.187      
5 O -0.300      
6 O -0.334      
7 H 0.246      
8 H 0.241      
9 H 0.227      
10 H 0.222      
11 H 0.221      
12 H 0.212      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.243 1.492 0.411 4.516
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.306 0.453 -0.092
y 0.453 6.736 0.023
z -0.092 0.023 5.538


<r2> (average value of r2) Å2
<r2> 140.122
(<r2>)1/2 11.837