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

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-306.404306
Energy at 298.15K 
HF Energy-306.404306
Nuclear repulsion energy241.143724
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 B3PW91/6-31G(2df,p)
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 3151 3030 7.53      
2 A 3137 3016 17.08      
3 A 3121 3000 20.48      
4 A 3076 2958 18.45      
5 A 3067 2949 5.33      
6 A 3043 2926 42.73      
7 A 1901 1827 369.54      
8 A 1521 1462 0.72      
9 A 1491 1433 5.49      
10 A 1456 1400 7.51      
11 A 1399 1345 21.30      
12 A 1339 1288 2.82      
13 A 1300 1249 10.44      
14 A 1259 1210 7.54      
15 A 1218 1171 24.60      
16 A 1196 1150 1.87      
17 A 1180 1134 187.22      
18 A 1095 1052 31.11      
19 A 1083 1041 48.06      
20 A 1019 979 13.56      
21 A 948 911 3.26      
22 A 895 861 7.65      
23 A 880 846 11.21      
24 A 811 780 3.37      
25 A 688 662 4.43      
26 A 640 615 4.53      
27 A 534 513 2.46      
28 A 490 471 3.46      
29 A 203 195 1.54      
30 A 148 142 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 21644.1 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 20808.6 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 B3PW91/6-31G(2df,p)
ABC
0.24389 0.12000 0.08559

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.885 -0.000 0.003
C2 -0.029 1.205 0.167
C3 -1.402 0.665 -0.217
C4 -1.257 -0.822 0.126
O5 0.129 -1.128 -0.042
O6 2.077 -0.028 -0.072
H7 0.332 2.038 -0.437
H8 0.014 1.516 1.218
H9 -1.574 0.788 -1.291
H10 -2.233 1.134 0.314
H11 -1.829 -1.484 -0.529
H12 -1.539 -1.032 1.165

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52192.39262.29821.35871.19482.15792.12892.88883.33253.13862.8798
C21.52191.52512.37062.34802.45251.09051.09652.16492.20973.30972.8775
C32.39261.52511.53232.36413.55102.22332.18901.09431.09182.21222.1924
C42.29822.37061.53231.42973.43383.32012.87662.16782.19361.09241.0973
O51.35872.34802.36411.42972.23793.19742.93112.85153.28962.04852.0619
O61.19482.45253.55103.43382.23792.72942.88153.93504.48074.19383.9523
H72.15791.09052.22333.32013.19742.72941.76402.43412.82114.13303.9360
H82.12891.09652.18902.87662.93112.88151.76403.05722.45213.93022.9843
H92.88882.16491.09432.16782.85153.93502.43413.05721.76892.40963.0570
H103.33252.20971.09182.19363.28964.48072.82112.45211.76892.77942.4278
H113.13863.30972.21221.09242.04854.19384.13303.93022.40962.77941.7774
H122.87982.87752.19241.09732.06193.95233.93602.98433.05702.42781.7774

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 103.479 C1 C2 H7 110.288
C1 C2 H8 107.681 C1 O5 C4 110.985
C2 C1 O5 109.060 C2 C1 O6 128.645
C2 C3 C4 101.670 C2 C3 H9 110.398
C2 C3 H10 114.192 C3 C2 H7 115.417
C3 C2 H8 112.192 C3 C4 O5 105.852
C3 C4 H11 113.827 C3 C4 H12 111.902
C4 C3 H9 110.122 C4 C3 H10 112.337
O5 C1 O6 122.293 O5 C4 H11 107.883
O5 C4 H12 108.646 H7 C2 H8 107.524
H9 C3 H10 108.029 H11 C4 H12 108.523
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.468      
2 C -0.403      
3 C -0.289      
4 C -0.106      
5 O -0.239      
6 O -0.353      
7 H 0.170      
8 H 0.167      
9 H 0.151      
10 H 0.144      
11 H 0.151      
12 H 0.140      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.093 1.371 0.366 4.332
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.556 1.632 0.254
y 1.632 -34.442 -0.062
z 0.254 -0.062 -32.834
Traceless
 xyz
x -5.918 1.632 0.254
y 1.632 1.753 -0.062
z 0.254 -0.062 4.165
Polar
3z2-r28.331
x2-y2-5.114
xy1.632
xz0.254
yz-0.062


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.134 0.411 -0.087
y 0.411 6.658 0.017
z -0.087 0.017 5.577


<r2> (average value of r2) Å2
<r2> 139.092
(<r2>)1/2 11.794