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

using model chemistry: B2PLYP/STO-3G

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/STO-3G
 hartrees
Energy at 0K-302.070154
Energy at 298.15K 
HF Energy-301.954640
Nuclear repulsion energy233.470485
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/STO-3G
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 3521 3521 0.53      
2 A 3506 3506 0.06      
3 A 3451 3451 2.92      
4 A 3404 3404 0.41      
5 A 3391 3391 0.99      
6 A 3334 3334 8.93      
7 A 1872 1872 99.55      
8 A 1693 1693 1.31      
9 A 1682 1682 1.57      
10 A 1665 1665 1.58      
11 A 1494 1494 5.88      
12 A 1476 1476 1.01      
13 A 1428 1428 1.67      
14 A 1355 1355 1.61      
15 A 1326 1326 6.89      
16 A 1266 1266 50.13      
17 A 1254 1254 100.91      
18 A 1172 1172 8.38      
19 A 1151 1151 6.54      
20 A 1095 1095 17.20      
21 A 1012 1012 1.84      
22 A 961 961 1.21      
23 A 911 911 5.84      
24 A 824 824 5.65      
25 A 692 692 1.44      
26 A 643 643 2.70      
27 A 516 516 2.09      
28 A 466 466 4.06      
29 A 172 172 1.49      
30 A 130 130 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 23429.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 23429.8 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 B2PLYP/STO-3G
ABC
0.22648 0.11307 0.07978

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.909 0.018 0.008
C2 -0.057 1.259 0.140
C3 -1.453 0.670 -0.193
C4 -1.276 -0.855 0.124
O5 0.148 -1.197 -0.057
O6 2.155 -0.004 -0.052
H7 0.255 2.062 -0.545
H8 -0.012 1.643 1.173
H9 -1.689 0.811 -1.259
H10 -2.262 1.113 0.408
H11 -1.871 -1.501 -0.552
H12 -1.575 -1.076 1.171

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.57782.45892.35531.43501.24742.21642.20172.99733.37843.21662.9528
C21.57781.55142.43952.47202.55371.10101.10302.19602.22583.37392.9692
C32.45891.55141.56762.46383.67302.23102.21111.10121.10062.24002.2193
C42.35532.43951.56761.47553.53883.36102.98932.20422.21951.10821.1118
O51.43502.47202.46381.47552.33473.29723.09912.97553.37072.10072.1192
O61.24742.55373.67303.53882.33472.84952.98474.11014.57874.32384.0689
H72.21641.10102.23103.36103.29722.84951.78862.41922.85324.14874.0173
H82.20171.10302.21112.98933.09912.98471.78863.06942.43434.03903.1358
H92.99732.19601.10122.20422.97554.11012.41923.06941.78922.42463.0793
H103.37842.22581.10062.21953.37074.57872.85322.43431.78922.81232.4179
H113.21663.37392.24001.10822.10074.32384.14874.03902.42462.81231.7995
H122.95282.96922.21931.11182.11924.06894.01733.13583.07932.41791.7995

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 103.583 C1 C2 H7 110.387
C1 C2 H8 109.136 C1 O5 C4 108.038
C2 C1 O5 110.176 C2 C1 O6 128.973
C2 C3 C4 102.913 C2 C3 H9 110.618
C2 C3 H10 113.030 C3 C2 H7 113.431
C3 C2 H8 111.703 C3 C4 O5 108.083
C3 C4 H11 112.539 C3 C4 H12 110.694
C4 C3 H9 110.132 C4 C3 H10 111.365
O5 C1 O6 120.848 O5 C4 H11 107.951
O5 C4 H12 109.186 H7 C2 H8 108.482
H9 C3 H10 108.696 H11 C4 H12 108.308
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.220      
2 C -0.149      
3 C -0.129      
4 C -0.030      
5 O -0.181      
6 O -0.197      
7 H 0.084      
8 H 0.081      
9 H 0.075      
10 H 0.077      
11 H 0.079      
12 H 0.071      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -2.796 1.128 0.248 3.025
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.010 1.092 0.079
y 1.092 -33.261 -0.130
z 0.079 -0.130 -31.222
Traceless
 xyz
x -3.769 1.092 0.079
y 1.092 0.355 -0.130
z 0.079 -0.130 3.414
Polar
3z2-r26.828
x2-y2-2.750
xy1.092
xz0.079
yz-0.130


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.241 0.477 -0.111
y 0.477 3.607 0.034
z -0.111 0.034 2.679


<r2> (average value of r2) Å2
<r2> 145.555
(<r2>)1/2 12.065