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

using model chemistry: TPSSh/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-306.532338
Energy at 298.15K 
HF Energy-306.532338
Nuclear repulsion energy240.295168
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/6-31G(2df,p)
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 3136 3026 12.25      
2 A 3123 3013 25.89      
3 A 3111 3003 20.30      
4 A 3064 2957 22.27      
5 A 3054 2947 7.39      
6 A 3036 2929 44.99      
7 A 1867 1802 350.02      
8 A 1533 1480 0.41      
9 A 1505 1453 3.17      
10 A 1473 1422 5.62      
11 A 1398 1349 18.47      
12 A 1342 1296 2.91      
13 A 1302 1256 6.32      
14 A 1258 1214 6.22      
15 A 1214 1172 10.94      
16 A 1195 1153 3.00      
17 A 1159 1119 189.96      
18 A 1091 1052 10.07      
19 A 1057 1020 66.83      
20 A 1007 971 18.44      
21 A 936 903 3.90      
22 A 887 856 9.30      
23 A 871 841 13.35      
24 A 799 771 3.00      
25 A 675 651 4.59      
26 A 629 607 3.88      
27 A 523 505 2.56      
28 A 480 464 3.22      
29 A 203 195 1.63      
30 A 148 142 0.89      

Unscaled Zero Point Vibrational Energy (zpe) 21537.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20783.4 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/6-31G(2df,p)
ABC
0.24210 0.11911 0.08503

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.889 0.002 0.004
C2 -0.031 1.209 0.174
C3 -1.405 0.666 -0.226
C4 -1.266 -0.822 0.130
O5 0.130 -1.134 -0.042
O6 2.085 -0.027 -0.075
H7 0.330 2.048 -0.421
H8 0.001 1.509 1.228
H9 -1.561 0.781 -1.303
H10 -2.240 1.140 0.293
H11 -1.833 -1.490 -0.521
H12 -1.540 -1.024 1.172

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52652.39872.31001.36701.19942.16292.13442.88343.34193.14832.8831
C21.52651.53032.37722.35842.46301.09041.09652.16882.21373.31882.8733
C32.39871.53031.53652.37303.56122.22672.19081.09421.09192.21782.1971
C42.31002.37721.53651.44063.44983.32992.87112.17022.19711.09161.0966
O51.36702.35842.37301.44062.24693.21082.93512.84903.30212.05232.0677
O61.19942.46303.56123.44982.24692.73922.89863.93064.49514.20643.9608
H72.16291.09042.22673.32993.21082.73921.76642.44082.81844.14823.9331
H82.13441.09652.19082.87112.93512.89861.76643.06152.45603.92622.9644
H92.88342.16881.09422.17022.84903.93062.44083.06151.77162.41723.0631
H103.34192.21371.09192.19713.30214.49512.81842.45601.77162.78292.4380
H113.14833.31882.21781.09162.05234.20644.14823.92622.41722.78291.7806
H122.88312.87332.19711.09662.06773.96083.93312.96443.06312.43801.7806

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 110.368
C1 C2 H8 107.796 C1 O5 C4 110.701
C2 C1 O5 109.067 C2 C1 O6 128.857
C2 C3 C4 101.637 C2 C3 H9 110.348
C2 C3 H10 114.124 C3 C2 H7 115.322
C3 C2 H8 111.970 C3 C4 O5 105.662
C3 C4 H11 114.038 C3 C4 H12 112.034
C4 C3 H9 110.030 C4 C3 H10 112.316
O5 C1 O6 122.075 O5 C4 H11 107.494
O5 C4 H12 108.406 H7 C2 H8 107.748
H9 C3 H10 108.267 H11 C4 H12 108.928
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.493      
2 C -0.397      
3 C -0.281      
4 C -0.098      
5 O -0.256      
6 O -0.366      
7 H 0.165      
8 H 0.163      
9 H 0.148      
10 H 0.141      
11 H 0.150      
12 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.067 1.360 0.372 4.304
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 8.266 0.416 -0.094
y 0.416 6.755 0.022
z -0.094 0.022 5.617


<r2> (average value of r2) Å2
<r2> 139.874
(<r2>)1/2 11.827