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

using model chemistry: B97D3/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 B97D3/cc-pVTZ
 hartrees
Energy at 0K-306.420671
Energy at 298.15K 
HF Energy-306.420671
Nuclear repulsion energy239.789990
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 B97D3/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 3082 3039 12.30      
2 A 3068 3025 31.32      
3 A 3058 3015 20.92      
4 A 3012 2969 26.83      
5 A 3000 2958 7.96      
6 A 2983 2941 47.32      
7 A 1812 1786 369.35      
8 A 1494 1473 0.37      
9 A 1471 1450 4.61      
10 A 1436 1416 7.09      
11 A 1361 1342 12.77      
12 A 1315 1296 0.96      
13 A 1274 1256 4.73      
14 A 1234 1216 4.61      
15 A 1190 1173 5.83      
16 A 1171 1155 3.03      
17 A 1116 1101 185.52      
18 A 1071 1056 15.90      
19 A 1016 1002 54.86      
20 A 982 968 41.63      
21 A 915 902 4.52      
22 A 875 862 8.81      
23 A 850 838 27.59      
24 A 780 769 4.04      
25 A 667 657 3.33      
26 A 625 616 4.37      
27 A 520 512 2.66      
28 A 476 470 2.22      
29 A 199 197 1.52      
30 A 143 141 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 21096.9 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 20801.6 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 B97D3/cc-pVTZ
ABC
0.24174 0.11844 0.08455

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.001 0.003
C2 -0.027 1.207 0.167
C3 -1.407 0.671 -0.218
C4 -1.275 -0.819 0.128
O5 0.128 -1.141 -0.045
O6 2.091 -0.027 -0.071
H7 0.333 2.040 -0.438
H8 0.016 1.516 1.218
H9 -1.576 0.794 -1.292
H10 -2.233 1.146 0.314
H11 -1.846 -1.480 -0.527
H12 -1.547 -1.025 1.170

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52612.40502.32041.37471.20132.16012.13152.89813.34363.15812.8920
C21.52611.52912.37982.36272.46341.09061.09682.16742.21163.31812.8804
C32.40501.52911.53532.38043.56972.22452.19161.09421.09222.21662.1960
C42.32042.37981.53531.44923.46353.32852.88302.16992.19451.09181.0970
O51.37472.36272.38041.44922.25743.21142.94462.86363.30662.06032.0723
O61.20132.46343.56973.46352.25742.73832.88983.95124.49734.22163.9712
H72.16011.09062.22453.32853.21142.73831.76592.43422.81984.14053.9386
H82.13151.09682.19162.88302.94462.88981.76593.05942.45253.93622.9839
H92.89812.16741.09422.16992.86363.95122.43423.05941.77142.41383.0614
H103.34362.21161.09222.19453.30664.49732.81982.45251.77142.78422.4323
H113.15813.31812.21661.09182.06034.22164.14053.93622.41382.78421.7829
H122.89202.88042.19601.09702.07233.97123.93862.98393.06142.43231.7829

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 103.844 C1 C2 H7 110.170
C1 C2 H8 107.581 C1 O5 C4 110.480
C2 C1 O5 108.960 C2 C1 O6 128.780
C2 C3 C4 101.901 C2 C3 H9 110.320
C2 C3 H10 114.033 C3 C2 H7 115.219
C3 C2 H8 112.102 C3 C4 O5 105.763
C3 C4 H11 114.012 C3 C4 H12 112.006
C4 C3 H9 110.087 C4 C3 H10 112.171
O5 C1 O6 122.259 O5 C4 H11 107.515
O5 C4 H12 108.158 H7 C2 H8 107.663
H9 C3 H10 108.225 H11 C4 H12 109.090
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.233      
2 C -0.170      
3 C -0.153      
4 C 0.038      
5 O -0.182      
6 O -0.263      
7 H 0.097      
8 H 0.095      
9 H 0.083      
10 H 0.080      
11 H 0.078      
12 H 0.066      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.158 1.409 0.369 4.406
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.308 1.669 0.243
y 1.669 -35.208 -0.075
z 0.243 -0.075 -33.529
Traceless
 xyz
x -5.939 1.669 0.243
y 1.669 1.710 -0.075
z 0.243 -0.075 4.229
Polar
3z2-r28.458
x2-y2-5.100
xy1.669
xz0.243
yz-0.075


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.075 0.402 -0.081
y 0.402 7.490 0.017
z -0.081 0.017 6.073


<r2> (average value of r2) Å2
<r2> 140.836
(<r2>)1/2 11.867