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

using model chemistry: PBE1PBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBE1PBE/Def2TZVPP
 hartrees
Energy at 0K-306.273912
Energy at 298.15K 
HF Energy-306.273912
Nuclear repulsion energy241.984421
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 PBE1PBE/Def2TZVPP
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 3156 3156 5.74      
2 A 3142 3142 18.75      
3 A 3131 3131 16.10      
4 A 3082 3082 18.63      
5 A 3072 3072 4.21      
6 A 3056 3056 38.63      
7 A 1891 1891 428.47      
8 A 1523 1523 1.67      
9 A 1493 1493 8.05      
10 A 1457 1457 9.52      
11 A 1403 1403 22.70      
12 A 1345 1345 1.68      
13 A 1307 1307 12.58      
14 A 1266 1266 10.02      
15 A 1226 1226 30.02      
16 A 1200 1200 2.09      
17 A 1193 1193 194.79      
18 A 1102 1102 50.93      
19 A 1091 1091 36.46      
20 A 1024 1024 14.24      
21 A 955 955 3.49      
22 A 900 900 10.20      
23 A 886 886 12.24      
24 A 818 818 3.84      
25 A 693 693 4.63      
26 A 643 643 4.50      
27 A 535 535 2.71      
28 A 496 496 3.48      
29 A 205 205 1.68      
30 A 148 148 1.17      

Unscaled Zero Point Vibrational Energy (zpe) 21717.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21717.5 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 PBE1PBE/Def2TZVPP
ABC
0.24608 0.12074 0.08621

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.881 -0.002 0.002
C2 -0.027 1.199 0.166
C3 -1.396 0.663 -0.216
C4 -1.257 -0.816 0.128
O5 0.127 -1.124 -0.046
O6 2.071 -0.029 -0.070
H7 0.336 2.029 -0.436
H8 0.020 1.505 1.215
H9 -1.567 0.785 -1.287
H10 -2.222 1.135 0.314
H11 -1.829 -1.476 -0.522
H12 -1.530 -1.022 1.167

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51412.38282.29151.35311.19212.14782.11732.87703.32003.12992.8659
C21.51411.51922.36072.33742.44181.08781.09392.15742.20153.29792.8624
C32.38281.51921.52482.35453.53872.21682.18261.09151.08912.20402.1840
C42.29152.36071.52481.42843.42553.30872.86372.15922.18461.08891.0940
O51.35312.33742.35451.42842.23163.18382.91782.83853.27902.04402.0560
O61.19212.44183.53873.42552.23162.71622.86503.92184.46484.18483.9352
H72.14781.08782.21683.30873.18382.71621.76052.42742.81194.12073.9191
H82.11731.09392.18262.86372.91782.86501.76053.04942.44503.91502.9654
H92.87702.15741.09152.15922.83853.92182.42743.04941.76532.40183.0479
H103.32002.20151.08912.18463.27904.46482.81192.44501.76532.76982.4203
H113.12993.29792.20401.08892.04404.18484.12073.91502.40182.76981.7743
H122.86592.86242.18401.09402.05603.93523.91912.96543.04792.42031.7743

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 103.538 C1 C2 H7 110.198
C1 C2 H8 107.457 C1 O5 C4 110.910
C2 C1 O5 109.086 C2 C1 O6 128.528
C2 C3 C4 101.700 C2 C3 H9 110.381
C2 C3 H10 114.115 C3 C2 H7 115.500
C3 C2 H8 112.257 C3 C4 O5 105.691
C3 C4 H11 113.921 C3 C4 H12 111.966
C4 C3 H9 110.134 C4 C3 H10 112.315
O5 C1 O6 122.385 O5 C4 H11 107.813
O5 C4 H12 108.468 H7 C2 H8 107.597
H9 C3 H10 108.099 H11 C4 H12 108.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.226      
2 C -0.121      
3 C -0.154      
4 C 0.016      
5 O -0.195      
6 O -0.288      
7 H 0.090      
8 H 0.092      
9 H 0.086      
10 H 0.079      
11 H 0.087      
12 H 0.081      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.366 1.483 0.391 4.628
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.651 1.714 0.261
y 1.714 -35.104 -0.091
z 0.261 -0.091 -33.440
Traceless
 xyz
x -6.380 1.714 0.261
y 1.714 1.942 -0.091
z 0.261 -0.091 4.438
Polar
3z2-r28.875
x2-y2-5.548
xy1.714
xz0.261
yz-0.091


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.861 0.358 -0.073
y 0.358 7.332 0.017
z -0.073 0.017 6.032


<r2> (average value of r2) Å2
<r2> 138.746
(<r2>)1/2 11.779