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

using model chemistry: B3LYPultrafine/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYPultrafine/Def2TZVPP
 hartrees
Energy at 0K-306.622150
Energy at 298.15K 
HF Energy-306.622150
Nuclear repulsion energy240.773302
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 B3LYPultrafine/Def2TZVPP
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 3128 3128 8.97      
2 A 3118 3118 24.55      
3 A 3107 3107 15.74      
4 A 3061 3061 21.91      
5 A 3051 3051 5.64      
6 A 3040 3040 38.65      
7 A 1852 1852 418.22      
8 A 1530 1530 0.77      
9 A 1504 1504 5.84      
10 A 1469 1469 8.12      
11 A 1399 1399 16.15      
12 A 1347 1347 0.78      
13 A 1307 1307 5.47      
14 A 1261 1261 7.13      
15 A 1221 1221 9.20      
16 A 1200 1200 2.72      
17 A 1163 1163 218.51      
18 A 1100 1100 9.05      
19 A 1055 1055 76.77      
20 A 1009 1009 21.37      
21 A 934 934 5.12      
22 A 895 895 8.02      
23 A 874 874 21.22      
24 A 803 803 4.14      
25 A 684 684 4.10      
26 A 642 642 5.02      
27 A 538 538 3.43      
28 A 490 490 3.03      
29 A 200 200 1.74      
30 A 146 146 1.20      

Unscaled Zero Point Vibrational Energy (zpe) 21563.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21563.9 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 B3LYPultrafine/Def2TZVPP
ABC
0.24372 0.11941 0.08514

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.889 -0.002 0.003
C2 -0.023 1.206 0.160
C3 -1.405 0.669 -0.208
C4 -1.269 -0.821 0.123
O5 0.129 -1.131 -0.044
O6 2.082 -0.030 -0.068
H7 0.333 2.027 -0.456
H8 0.031 1.528 1.203
H9 -1.593 0.801 -1.274
H10 -2.221 1.138 0.338
H11 -1.833 -1.474 -0.539
H12 -1.547 -1.041 1.157

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52172.39972.31141.36161.19512.15312.12542.90403.32953.14132.8883
C21.52171.52792.37982.35042.45141.08681.09262.16442.20623.30862.8916
C32.39971.52791.53292.37043.55912.22002.18951.09021.08822.21052.1923
C42.31142.37981.53291.44133.44813.31912.89452.16562.18941.08741.0922
O51.36162.35042.37041.44132.24183.19092.93852.86493.28882.05172.0631
O61.19512.45143.55913.44812.24182.72742.87173.95554.47704.19863.9603
H72.15311.08682.22003.31913.19092.72741.75852.42502.81884.11793.9429
H82.12541.09262.18952.89452.93852.87171.75853.04992.44423.94023.0155
H92.90402.16441.09022.16562.86493.95552.42503.04991.76282.40333.0501
H103.32952.20621.08822.18943.28884.47702.81882.44421.76282.78332.4237
H113.14133.30862.21051.08742.05174.19864.11793.94022.40332.78331.7733
H122.88832.89162.19231.09222.06313.96033.94293.01553.05012.42371.7733

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 103.787 C1 C2 H7 110.144
C1 C2 H8 107.645 C1 O5 C4 111.074
C2 C1 O5 109.081 C2 C1 O6 128.530
C2 C3 C4 102.066 C2 C3 H9 110.404
C2 C3 H10 113.928 C3 C2 H7 115.170
C3 C2 H8 112.271 C3 C4 O5 105.648
C3 C4 H11 113.960 C3 C4 H12 112.169
C4 C3 H9 110.152 C4 C3 H10 112.179
O5 C1 O6 122.389 O5 C4 H11 107.634
O5 C4 H12 108.255 H7 C2 H8 107.572
H9 C3 H10 108.036 H11 C4 H12 108.893
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.243      
2 C -0.137      
3 C -0.155      
4 C 0.018      
5 O -0.235      
6 O -0.276      
7 H 0.093      
8 H 0.093      
9 H 0.086      
10 H 0.081      
11 H 0.098      
12 H 0.091      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.411 1.517 0.382 4.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.040 1.766 0.259
y 1.766 -35.515 -0.104
z 0.259 -0.104 -33.755
Traceless
 xyz
x -6.405 1.766 0.259
y 1.766 1.882 -0.104
z 0.259 -0.104 4.523
Polar
3z2-r29.046
x2-y2-5.525
xy1.766
xz0.259
yz-0.104


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.991 0.365 -0.073
y 0.365 7.435 0.019
z -0.073 0.019 6.081


<r2> (average value of r2) Å2
<r2> 140.262
(<r2>)1/2 11.843