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

using model chemistry: B2PLYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B2PLYP/3-21G
 hartrees
Energy at 0K-304.400974
Energy at 298.15K 
HF Energy-304.195303
Nuclear repulsion energy237.050310
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 B2PLYP/3-21G
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 3190 3190 16.24      
2 A 3184 3184 11.33      
3 A 3173 3173 8.05      
4 A 3120 3120 13.95      
5 A 3102 3102 33.95      
6 A 3100 3100 3.89      
7 A 1806 1806 242.12      
8 A 1592 1592 1.22      
9 A 1567 1567 5.90      
10 A 1540 1540 10.31      
11 A 1403 1403 1.77      
12 A 1396 1396 0.73      
13 A 1355 1355 5.66      
14 A 1292 1292 5.61      
15 A 1248 1248 2.85      
16 A 1208 1208 3.21      
17 A 1136 1136 30.73      
18 A 1104 1104 183.72      
19 A 1031 1031 14.69      
20 A 989 989 53.74      
21 A 934 934 2.27      
22 A 904 904 16.24      
23 A 884 884 28.80      
24 A 771 771 8.71      
25 A 671 671 5.39      
26 A 634 634 3.21      
27 A 532 532 2.36      
28 A 473 473 2.19      
29 A 212 212 3.66      
30 A 148 148 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 21849.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21849.1 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 B2PLYP/3-21G
ABC
0.23650 0.11542 0.08275

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.904 0.004 0.005
C2 -0.027 1.215 0.191
C3 -1.404 0.681 -0.250
C4 -1.310 -0.815 0.141
O5 0.121 -1.165 -0.044
O6 2.120 -0.031 -0.079
H7 0.339 2.059 -0.391
H8 -0.030 1.488 1.252
H9 -1.508 0.773 -1.333
H10 -2.242 1.179 0.237
H11 -1.893 -1.473 -0.499
H12 -1.577 -0.969 1.189

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53922.41902.36431.40741.21932.16842.15132.86373.36663.20352.9158
C21.53921.54082.40122.39552.49721.08881.09542.17022.21533.34412.8572
C32.41901.54081.54892.40303.59932.22642.18941.09211.08982.22312.1957
C42.36432.40121.54891.48443.52523.35572.85892.17542.20341.08771.0925
O51.40742.39552.40301.48442.29863.24982.95562.84063.34022.08822.1074
O61.21932.49723.59933.52522.29862.76382.94933.92194.53784.28574.0193
H72.16841.08882.22643.35573.24982.76381.77772.44002.79794.18023.9157
H82.15131.09542.18942.85892.95562.94931.77773.06222.45313.91192.9034
H92.86372.17021.09212.17542.84063.92192.44003.06221.78032.42693.0656
H103.36662.21531.08982.20343.34024.53782.79792.45311.78032.77462.4417
H113.20353.34412.22311.08772.08824.28574.18023.91192.42692.77461.7895
H122.91582.85722.19571.09252.10744.01933.91572.90343.06562.44171.7895

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 103.514 C1 C2 H7 110.015
C1 C2 H8 108.310 C1 O5 C4 109.657
C2 C1 O5 108.697 C2 C1 O6 129.354
C2 C3 C4 102.008 C2 C3 H9 109.854
C2 C3 H10 113.625 C3 C2 H7 114.608
C3 C2 H8 111.183 C3 C4 O5 104.763
C3 C4 H11 113.806 C3 C4 H12 111.285
C4 C3 H9 109.704 C4 C3 H10 112.070
O5 C1 O6 121.944 O5 C4 H11 107.558
O5 C4 H12 108.779 H7 C2 H8 108.954
H9 C3 H10 109.362 H11 C4 H12 110.329
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.674      
2 C -0.501      
3 C -0.432      
4 C -0.132      
5 O -0.493      
6 O -0.462      
7 H 0.240      
8 H 0.240      
9 H 0.223      
10 H 0.212      
11 H 0.222      
12 H 0.209      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.120 1.754 0.443 4.500
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.730 2.042 0.255
y 2.042 -36.044 -0.095
z 0.255 -0.095 -33.751
Traceless
 xyz
x -4.833 2.042 0.255
y 2.042 0.697 -0.095
z 0.255 -0.095 4.136
Polar
3z2-r28.272
x2-y2-3.686
xy2.042
xz0.255
yz-0.095


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.591 0.530 -0.151
y 0.530 5.755 0.040
z -0.151 0.040 4.771


<r2> (average value of r2) Å2
<r2> 143.416
(<r2>)1/2 11.976