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

using model chemistry: TPSSh/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.615384
Energy at 298.15K 
HF Energy-306.615384
Nuclear repulsion energy240.668415
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/6-311+G(3df,2p)
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 3122 3122 10.45      
2 A 3112 3112 25.73      
3 A 3100 3100 17.74      
4 A 3052 3052 22.79      
5 A 3041 3041 6.36      
6 A 3033 3033 39.23      
7 A 1838 1838 417.08      
8 A 1533 1533 0.56      
9 A 1506 1506 4.97      
10 A 1473 1473 7.40      
11 A 1394 1394 17.44      
12 A 1342 1342 1.72      
13 A 1303 1303 5.38      
14 A 1260 1260 6.81      
15 A 1216 1216 9.52      
16 A 1195 1195 3.01      
17 A 1157 1157 202.52      
18 A 1091 1091 10.05      
19 A 1049 1049 72.21      
20 A 1004 1004 24.79      
21 A 933 933 4.64      
22 A 887 887 11.19      
23 A 869 869 18.47      
24 A 798 798 3.64      
25 A 674 674 4.48      
26 A 629 629 3.98      
27 A 523 523 3.28      
28 A 483 483 2.96      
29 A 202 202 1.87      
30 A 147 147 1.04      

Unscaled Zero Point Vibrational Energy (zpe) 21482.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21482.1 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/6-311+G(3df,2p)
ABC
0.24335 0.11935 0.08526

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.887 0.000 0.004
C2 -0.028 1.205 0.171
C3 -1.402 0.667 -0.223
C4 -1.269 -0.819 0.130
O5 0.129 -1.132 -0.045
O6 2.083 -0.028 -0.073
H7 0.334 2.039 -0.427
H8 0.010 1.506 1.222
H9 -1.563 0.784 -1.296
H10 -2.231 1.142 0.301
H11 -1.834 -1.484 -0.520
H12 -1.534 -1.022 1.172

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52162.39492.31001.36351.19842.15582.12632.88203.33363.14362.8757
C21.52161.52792.37452.35232.45611.08801.09412.16512.20793.31242.8688
C32.39491.52791.53232.36903.55652.22212.18801.09161.08972.21362.1939
C42.31002.37451.53231.44383.44983.32342.86942.16532.19051.08841.0935
O51.36352.35232.36901.44382.24403.20042.92952.84583.29572.05032.0637
O61.19842.45613.55653.44982.24402.73072.88553.93024.48494.20253.9517
H72.15581.08802.22213.32343.20042.73071.76312.43462.81254.13753.9259
H82.12631.09412.18802.86942.92952.88551.76313.05582.44983.92152.9630
H92.88202.16511.09162.16532.84583.93022.43463.05581.76812.41233.0580
H103.33362.20791.08972.19053.29574.48492.81252.44981.76812.78012.4345
H113.14363.31242.21361.08842.05034.20254.13753.92152.41232.78011.7789
H122.87572.86882.19391.09352.06373.95173.92592.96303.05802.43451.7789

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 103.502 C1 C2 H7 110.296
C1 C2 H8 107.638 C1 O5 C4 110.705
C2 C1 O5 109.112 C2 C1 O6 128.708
C2 C3 C4 101.773 C2 C3 H9 110.373
C2 C3 H10 113.975 C3 C2 H7 115.276
C3 C2 H8 112.059 C3 C4 O5 105.456
C3 C4 H11 114.198 C3 C4 H12 112.258
C4 C3 H9 110.083 C4 C3 H10 112.223
O5 C1 O6 122.179 O5 C4 H11 107.295
O5 C4 H12 108.051 H7 C2 H8 107.800
H9 C3 H10 108.303 H11 C4 H12 109.231
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.115      
2 C -0.267      
3 C -0.148      
4 C 0.240      
5 O -0.722      
6 O -0.809      
7 H 0.099      
8 H 0.122      
9 H 0.107      
10 H 0.087      
11 H 0.086      
12 H 0.090      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.442 1.506 0.404 4.707
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 9.420 0.314 -0.082
y 0.314 7.845 0.029
z -0.082 0.029 6.317


<r2> (average value of r2) Å2
<r2> 140.093
(<r2>)1/2 11.836