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

using model chemistry: mPW1PW91/6-311+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 mPW1PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.528285
Energy at 298.15K 
HF Energy-306.528285
Nuclear repulsion energy242.050842
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 mPW1PW91/6-311+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 3155 3155 5.97      
2 A 3141 3141 19.96      
3 A 3131 3131 15.22      
4 A 3081 3081 18.71      
5 A 3071 3071 4.15      
6 A 3057 3057 37.73      
7 A 1890 1890 448.03      
8 A 1530 1530 1.66      
9 A 1501 1501 7.89      
10 A 1464 1464 9.58      
11 A 1407 1407 22.78      
12 A 1348 1348 1.93      
13 A 1310 1310 10.97      
14 A 1270 1270 9.97      
15 A 1228 1228 24.80      
16 A 1204 1204 2.27      
17 A 1192 1192 200.79      
18 A 1101 1101 33.60      
19 A 1090 1090 56.32      
20 A 1024 1024 14.15      
21 A 953 953 3.59      
22 A 901 901 10.52      
23 A 886 886 12.64      
24 A 817 817 3.89      
25 A 693 693 4.72      
26 A 644 644 4.60      
27 A 536 536 3.21      
28 A 497 497 3.54      
29 A 206 206 1.82      
30 A 148 148 1.19      

Unscaled Zero Point Vibrational Energy (zpe) 21737.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21737.3 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 mPW1PW91/6-311+G(3df,2p)
ABC
0.24613 0.12079 0.08623

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.881 -0.003 0.003
C2 -0.026 1.199 0.166
C3 -1.397 0.664 -0.216
C4 -1.257 -0.816 0.127
O5 0.127 -1.123 -0.046
O6 2.070 -0.029 -0.070
H7 0.336 2.027 -0.437
H8 0.021 1.506 1.213
H9 -1.569 0.786 -1.285
H10 -2.221 1.135 0.315
H11 -1.827 -1.476 -0.523
H12 -1.529 -1.024 1.165

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51452.38342.29171.35151.19132.14762.11702.87833.31873.12772.8643
C21.51451.52022.36222.33672.44061.08631.09242.15772.20083.29762.8637
C32.38341.52021.52572.35443.53822.21602.18211.09011.08782.20412.1847
C42.29172.36221.52571.42863.42513.30822.86502.15922.18401.08741.0925
O51.35152.33672.35441.42862.23003.18162.91702.83893.27722.04232.0539
O61.19132.44063.53823.42512.23002.71482.86383.92204.46244.18173.9333
H72.14761.08632.21603.30823.18162.71481.75842.42642.81054.11843.9187
H82.11701.09242.18212.86502.91702.86381.75843.04742.44333.91452.9680
H92.87832.15771.09012.15922.83893.92202.42643.04741.76302.40173.0469
H103.31872.20081.08782.18403.27724.46242.81052.44331.76302.77012.4208
H113.12773.29762.20411.08742.04234.18174.11843.91452.40172.77011.7723
H122.86432.86372.18471.09252.05393.93333.91872.96803.04692.42081.7723

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 103.512 C1 C2 H7 110.237
C1 C2 H8 107.488 C1 O5 C4 111.009
C2 C1 O5 109.109 C2 C1 O6 128.446
C2 C3 C4 101.707 C2 C3 H9 110.417
C2 C3 H10 114.080 C3 C2 H7 115.453
C3 C2 H8 112.245 C3 C4 O5 105.631
C3 C4 H11 113.969 C3 C4 H12 112.055
C4 C3 H9 110.153 C4 C3 H10 112.290
O5 C1 O6 122.444 O5 C4 H11 107.761
O5 C4 H12 108.379 H7 C2 H8 107.619
H9 C3 H10 108.100 H11 C4 H12 108.788
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.128      
2 C -0.369      
3 C -0.220      
4 C 0.167      
5 O -0.706      
6 O -0.797      
7 H 0.133      
8 H 0.159      
9 H 0.142      
10 H 0.119      
11 H 0.118      
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
  -4.467 1.509 0.401 4.732
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.855 1.735 0.284
y 1.735 -35.110 -0.110
z 0.284 -0.110 -33.471
Traceless
 xyz
x -6.564 1.735 0.284
y 1.735 2.053 -0.110
z 0.284 -0.110 4.511
Polar
3z2-r29.022
x2-y2-5.745
xy1.735
xz0.284
yz-0.110


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.139 0.305 -0.072
y 0.305 7.617 0.022
z -0.072 0.022 6.204


<r2> (average value of r2) Å2
<r2> 138.750
(<r2>)1/2 11.779