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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-304.805988
Energy at 298.15K 
HF Energy-304.805988
Nuclear repulsion energy237.365636
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3162 3051 11.71      
2 A 3155 3045 16.70      
3 A 3146 3036 9.88      
4 A 3094 2986 15.42      
5 A 3073 2965 35.25      
6 A 3071 2964 4.11      
7 A 1838 1774 270.88      
8 A 1571 1516 0.77      
9 A 1548 1494 6.44      
10 A 1518 1464 11.07      
11 A 1389 1340 1.71      
12 A 1379 1331 0.76      
13 A 1339 1292 5.85      
14 A 1279 1234 5.43      
15 A 1236 1192 2.80      
16 A 1196 1154 2.80      
17 A 1125 1086 48.46      
18 A 1100 1061 167.41      
19 A 1026 990 15.88      
20 A 986 951 53.49      
21 A 928 895 2.11      
22 A 899 867 15.41      
23 A 877 846 23.95      
24 A 774 747 6.40      
25 A 671 648 5.89      
26 A 633 610 3.49      
27 A 531 512 2.23      
28 A 472 456 2.30      
29 A 207 200 3.45      
30 A 148 143 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 21685.3 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 20924.2 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 B3LYP/3-21G
ABC
0.23706 0.11580 0.08295

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.214 0.187
C3 -1.406 0.680 -0.244
C4 -1.305 -0.818 0.137
O5 0.124 -1.160 -0.042
O6 2.115 -0.031 -0.078
H7 0.337 2.059 -0.398
H8 -0.023 1.492 1.249
H9 -1.521 0.779 -1.327
H10 -2.242 1.174 0.254
H11 -1.886 -1.475 -0.510
H12 -1.578 -0.982 1.184

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53772.41962.36091.40211.21432.16962.14962.87353.36573.19942.9197
C21.53771.54062.40132.39042.49161.09041.09742.17182.21643.34272.8678
C32.41961.54061.54872.40183.59582.22802.19141.09391.09132.22352.1980
C42.36092.40131.54871.48083.51613.35562.86672.17742.20441.08961.0946
O51.40212.39042.40181.48082.28913.24602.95362.84963.33702.08782.1056
O61.21432.49163.59583.51612.28912.76262.94103.92934.53264.27554.0171
H72.16961.09042.22803.35563.24602.76261.77862.44032.80334.17653.9268
H82.14961.09742.19142.86672.95362.94101.77863.06462.45293.92032.9233
H92.87352.17181.09392.17742.84963.92932.44033.06461.78202.42523.0679
H103.36572.21641.09132.20443.33704.53262.80332.45291.78202.77972.4403
H113.19943.34272.22351.08962.08784.27554.17653.92032.42522.77971.7908
H122.91972.86782.19801.09462.10564.01713.92682.92333.06792.44031.7908

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 103.631 C1 C2 H7 110.129
C1 C2 H8 108.166 C1 O5 C4 109.927
C2 C1 O5 108.715 C2 C1 O6 129.376
C2 C3 C4 102.025 C2 C3 H9 109.886
C2 C3 H10 113.630 C3 C2 H7 114.654
C3 C2 H8 111.232 C3 C4 O5 104.874
C3 C4 H11 113.729 C3 C4 H12 111.357
C4 C3 H9 109.763 C4 C3 H10 112.064
O5 C1 O6 121.903 O5 C4 H11 107.666
O5 C4 H12 108.767 H7 C2 H8 108.778
H9 C3 H10 109.268 H11 C4 H12 110.148
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.666      
2 C -0.495      
3 C -0.427      
4 C -0.140      
5 O -0.482      
6 O -0.465      
7 H 0.238      
8 H 0.239      
9 H 0.222      
10 H 0.210      
11 H 0.222      
12 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.146 1.723 0.436 4.511
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.547 2.023 0.268
y 2.023 -35.604 -0.078
z 0.268 -0.078 -33.456
Traceless
 xyz
x -5.017 2.023 0.268
y 2.023 0.897 -0.078
z 0.268 -0.078 4.120
Polar
3z2-r28.240
x2-y2-3.943
xy2.023
xz0.268
yz-0.078


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.577 0.517 -0.143
y 0.517 5.797 0.037
z -0.143 0.037 4.804


<r2> (average value of r2) Å2
<r2> 142.964
(<r2>)1/2 11.957