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

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-306.246128
Energy at 298.15K 
HF Energy-306.246128
Nuclear repulsion energy239.588891
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 PBEPBE/cc-pVTZ
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 3064 3043 6.93      
2 A 3049 3028 20.39      
3 A 3038 3017 19.27      
4 A 2996 2975 20.74      
5 A 2983 2962 5.48      
6 A 2962 2942 40.82      
7 A 1807 1795 357.71      
8 A 1471 1461 0.76      
9 A 1445 1435 6.23      
10 A 1411 1401 8.39      
11 A 1342 1332 13.04      
12 A 1295 1286 0.83      
13 A 1255 1246 6.40      
14 A 1217 1209 5.09      
15 A 1176 1168 9.08      
16 A 1154 1146 2.59      
17 A 1117 1109 184.37      
18 A 1055 1048 11.39      
19 A 1023 1016 58.46      
20 A 981 975 31.91      
21 A 918 912 3.73      
22 A 866 860 7.32      
23 A 845 839 22.61      
24 A 781 776 3.49      
25 A 662 658 3.07      
26 A 617 613 3.97      
27 A 514 510 2.07      
28 A 473 470 2.30      
29 A 200 199 1.47      
30 A 146 145 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 20931.2 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20786.8 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 PBEPBE/cc-pVTZ
ABC
0.24149 0.11829 0.08449

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.002 0.003
C2 -0.029 1.207 0.167
C3 -1.406 0.670 -0.219
C4 -1.273 -0.818 0.129
O5 0.127 -1.142 -0.046
O6 2.094 -0.028 -0.070
H7 0.335 2.044 -0.438
H8 0.016 1.518 1.223
H9 -1.575 0.792 -1.298
H10 -2.239 1.148 0.312
H11 -1.851 -1.483 -0.525
H12 -1.547 -1.024 1.176

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52492.40322.31821.37621.20512.16192.13402.89853.34753.16262.8937
C21.52491.52852.37762.36332.46671.09521.10162.17072.21583.32192.8811
C32.40321.52851.53452.37983.57212.22922.19631.09891.09672.21942.1994
C42.31822.37761.53451.44783.46453.33202.88462.17302.19791.09661.1019
O51.37622.36332.37981.44782.26053.21622.94952.86423.31152.06332.0763
O61.20512.46673.57213.46452.26052.74182.89463.95484.50544.22903.9752
H72.16191.09522.22923.33203.21622.74181.77122.44072.82714.15033.9449
H82.13401.10162.19632.88462.94952.89461.77123.06862.46043.94322.9850
H92.89852.17071.09892.17302.86423.95482.44073.06861.77712.41863.0697
H103.34752.21581.09672.19793.31154.50542.82712.46041.77712.78742.4378
H113.16263.32192.21941.09662.06334.22904.15033.94322.41862.78741.7880
H122.89372.88112.19941.10192.07633.97523.94492.98503.06972.43781.7880

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 103.825 C1 C2 H7 110.120
C1 C2 H8 107.587 C1 O5 C4 110.323
C2 C1 O5 108.997 C2 C1 O6 128.878
C2 C3 C4 101.837 C2 C3 H9 110.350
C2 C3 H10 114.135 C3 C2 H7 115.354
C3 C2 H8 112.233 C3 C4 O5 105.837
C3 C4 H11 114.001 C3 C4 H12 112.036
C4 C3 H9 110.117 C4 C3 H10 112.233
O5 C1 O6 122.123 O5 C4 H11 107.572
O5 C4 H12 108.282 H7 C2 H8 107.461
H9 C3 H10 108.077 H11 C4 H12 108.840
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.208      
2 C -0.201      
3 C -0.186      
4 C 0.013      
5 O -0.161      
6 O -0.245      
7 H 0.109      
8 H 0.111      
9 H 0.098      
10 H 0.092      
11 H 0.087      
12 H 0.076      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.121 1.398 0.367 4.367
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.415 1.666 0.241
y 1.666 -35.345 -0.067
z 0.241 -0.067 -33.751
Traceless
 xyz
x -5.867 1.666 0.241
y 1.666 1.738 -0.067
z 0.241 -0.067 4.128
Polar
3z2-r28.257
x2-y2-5.070
xy1.666
xz0.241
yz-0.067


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.164 0.417 -0.082
y 0.417 7.573 0.016
z -0.082 0.016 6.138


<r2> (average value of r2) Å2
<r2> 141.094
(<r2>)1/2 11.878