return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B1B95/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B1B95/6-31+G**
 hartrees
Energy at 0K-306.386324
Energy at 298.15K 
HF Energy-306.386324
Nuclear repulsion energy241.661409
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 B1B95/6-31+G**
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 3182 3044 5.27      
2 A 3169 3032 21.75      
3 A 3161 3023 14.11      
4 A 3103 2968 20.68      
5 A 3093 2959 4.89      
6 A 3081 2947 40.06      
7 A 1900 1817 457.38      
8 A 1532 1465 1.16      
9 A 1503 1437 8.67      
10 A 1466 1403 9.77      
11 A 1407 1346 28.56      
12 A 1352 1294 2.94      
13 A 1315 1258 17.32      
14 A 1267 1212 15.02      
15 A 1230 1176 43.98      
16 A 1203 1151 171.82      
17 A 1201 1149 17.70      
18 A 1103 1055 44.17      
19 A 1091 1044 42.91      
20 A 1026 981 16.34      
21 A 955 914 3.48      
22 A 904 865 10.22      
23 A 890 852 9.98      
24 A 821 785 4.40      
25 A 685 655 5.24      
26 A 639 611 4.59      
27 A 530 507 3.36      
28 A 491 470 3.52      
29 A 211 202 2.43      
30 A 150 144 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 21829.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20882.5 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 B1B95/6-31+G**
ABC
0.24562 0.12032 0.08609

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.879 -0.003 0.003
C2 -0.028 1.198 0.174
C3 -1.394 0.664 -0.227
C4 -1.261 -0.813 0.134
O5 0.124 -1.126 -0.048
O6 2.076 -0.029 -0.073
H7 0.340 2.035 -0.417
H8 0.007 1.493 1.227
H9 -1.545 0.775 -1.303
H10 -2.227 1.143 0.285
H11 -1.837 -1.482 -0.504
H12 -1.523 -1.005 1.179

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51452.38002.29261.35431.19962.14912.12002.86203.32353.13442.8562
C21.51451.52052.35932.33902.44811.08831.09442.15922.20323.30372.8461
C32.38001.52051.52592.35313.54182.21862.18281.09221.08992.20852.1863
C42.29262.35931.52591.43193.43473.31322.84932.16062.18691.08891.0941
O51.35432.33902.35311.43192.23933.18912.91462.82383.28462.04452.0573
O61.19962.44813.54183.43472.23932.71872.87853.90854.47494.19663.9336
H72.14911.08832.21863.31323.18912.71871.76282.43462.80734.13723.9064
H82.12001.09442.18282.84932.91462.87851.76283.05402.45013.90442.9296
H92.86202.15921.09222.16062.82383.90852.43463.05401.76732.41263.0548
H103.32352.20321.08992.18693.28464.47492.80732.45011.76732.76902.4316
H113.13443.30372.20851.08892.04454.19664.13723.90442.41262.76901.7766
H122.85622.84612.18631.09412.05733.93363.90642.92963.05482.43161.7766

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 103.292 C1 C2 H7 110.243
C1 C2 H8 107.609 C1 O5 C4 110.713
C2 C1 O5 109.117 C2 C1 O6 128.470
C2 C3 C4 101.514 C2 C3 H9 110.397
C2 C3 H10 114.121 C3 C2 H7 115.525
C3 C2 H8 112.157 C3 C4 O5 105.375
C3 C4 H11 114.223 C3 C4 H12 112.073
C4 C3 H9 110.130 C4 C3 H10 112.387
O5 C1 O6 122.412 O5 C4 H11 107.613
O5 C4 H12 108.321 H7 C2 H8 107.724
H9 C3 H10 108.183 H11 C4 H12 108.940
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.359      
2 C -0.235      
3 C -0.339      
4 C -0.107      
5 O -0.293      
6 O -0.472      
7 H 0.200      
8 H 0.201      
9 H 0.184      
10 H 0.173      
11 H 0.166      
12 H 0.163      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.629 1.637 0.445 4.930
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.942 1.870 0.292
y 1.870 -35.372 -0.127
z 0.292 -0.127 -33.576
Traceless
 xyz
x -6.468 1.870 0.292
y 1.870 1.887 -0.127
z 0.292 -0.127 4.581
Polar
3z2-r29.162
x2-y2-5.570
xy1.870
xz0.292
yz-0.127


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.826 0.370 -0.101
y 0.370 7.176 0.035
z -0.101 0.035 5.905


<r2> (average value of r2) Å2
<r2> 139.099
(<r2>)1/2 11.794