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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-306.587382
Energy at 298.15K 
HF Energy-306.587382
Nuclear repulsion energy240.343981
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 3130 3130 14.27      
2 A 3122 3122 31.00      
3 A 3110 3110 19.40      
4 A 3058 3058 26.55      
5 A 3047 3047 7.96      
6 A 3039 3039 43.58      
7 A 1855 1855 389.47      
8 A 1535 1535 0.39      
9 A 1508 1508 5.61      
10 A 1476 1476 7.74      
11 A 1394 1394 16.05      
12 A 1345 1345 1.43      
13 A 1304 1304 7.27      
14 A 1260 1260 7.32      
15 A 1216 1216 9.81      
16 A 1194 1194 3.27      
17 A 1154 1154 207.20      
18 A 1091 1091 12.17      
19 A 1050 1050 68.79      
20 A 1004 1004 25.82      
21 A 934 934 4.28      
22 A 889 889 11.22      
23 A 870 870 18.73      
24 A 798 798 4.29      
25 A 672 672 4.83      
26 A 628 628 3.94      
27 A 522 522 2.92      
28 A 483 483 3.11      
29 A 209 209 2.32      
30 A 151 151 0.65      

Unscaled Zero Point Vibrational Energy (zpe) 21523.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21523.5 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
0.24248 0.11907 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 0.177
C3 -1.401 0.667 -0.232
C4 -1.271 -0.817 0.135
O5 0.128 -1.136 -0.046
O6 2.085 -0.027 -0.075
H7 0.337 2.046 -0.411
H8 -0.002 1.496 1.234
H9 -1.543 0.775 -1.311
H10 -2.239 1.148 0.276
H11 -1.842 -1.488 -0.506
H12 -1.532 -1.006 1.181

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52482.39642.31291.36881.19912.15902.13082.87033.34233.15192.8736
C21.52481.52922.37342.35742.46041.08941.09582.16542.21203.31782.8559
C32.39641.52921.53412.37123.55782.22572.18901.09331.09132.21682.1939
C42.31292.37341.53411.44603.45383.32862.85762.16702.19501.08961.0949
O51.36882.35742.37121.44602.24963.20982.92922.83553.30472.05332.0680
O61.19912.46043.55783.45382.24962.73272.89593.91514.49414.21213.9517
H72.15901.08942.22573.32863.20982.73271.76702.44092.81254.15303.9170
H82.13081.09582.18902.85762.92922.89591.76703.06052.45773.91342.9329
H92.87032.16541.09332.16702.83553.91512.44093.06051.77232.42023.0628
H103.34232.21201.09132.19503.30474.49412.81252.45771.77232.77822.4414
H113.15193.31782.21681.08962.05334.21214.15303.91342.42022.77821.7817
H122.87362.85592.19391.09492.06803.95173.91702.93293.06282.44141.7817

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 103.382 C1 C2 H7 110.241
C1 C2 H8 107.673 C1 O5 C4 110.484
C2 C1 O5 108.998 C2 C1 O6 128.795
C2 C3 C4 101.575 C2 C3 H9 110.209
C2 C3 H10 114.113 C3 C2 H7 115.390
C3 C2 H8 111.947 C3 C4 O5 105.404
C3 C4 H11 114.259 C3 C4 H12 112.050
C4 C3 H9 110.002 C4 C3 H10 112.360
O5 C1 O6 122.205 O5 C4 H11 107.322
O5 C4 H12 108.165 H7 C2 H8 107.922
H9 C3 H10 108.441 H11 C4 H12 109.300
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 0.387      
2 C -0.300      
3 C -0.282      
4 C 0.010      
5 O -0.314      
6 O -0.333      
7 H 0.154      
8 H 0.153      
9 H 0.140      
10 H 0.131      
11 H 0.130      
12 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.239 1.490 0.411 4.512
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 8.386 0.446 -0.090
y 0.446 6.804 0.021
z -0.090 0.021 5.600


<r2> (average value of r2) Å2
<r2> 140.097
(<r2>)1/2 11.836