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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-306.516811
Energy at 298.15K 
HF Energy-306.516811
Nuclear repulsion energy240.464180
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 B3LYPultrafine/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 3134 3024 10.06      
2 A 3120 3011 21.16      
3 A 3108 2999 20.11      
4 A 3064 2957 19.95      
5 A 3053 2947 6.00      
6 A 3034 2928 42.63      
7 A 1886 1820 362.12      
8 A 1526 1472 0.53      
9 A 1498 1446 3.96      
10 A 1465 1414 6.50      
11 A 1401 1352 19.06      
12 A 1342 1295 2.69      
13 A 1303 1257 6.22      
14 A 1258 1214 7.22      
15 A 1216 1173 12.11      
16 A 1198 1156 2.61      
17 A 1166 1125 199.18      
18 A 1096 1058 9.32      
19 A 1065 1028 71.15      
20 A 1010 975 14.80      
21 A 937 904 4.18      
22 A 893 862 8.09      
23 A 876 845 14.15      
24 A 804 776 3.24      
25 A 685 661 4.35      
26 A 640 618 4.63      
27 A 537 518 2.98      
28 A 488 471 3.34      
29 A 203 195 1.57      
30 A 148 143 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 21576.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20821.3 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 B3LYPultrafine/6-31G(2df,p)
ABC
0.24250 0.11927 0.08502

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.890 -0.000 0.003
C2 -0.027 1.209 0.166
C3 -1.407 0.668 -0.215
C4 -1.264 -0.825 0.125
O5 0.130 -1.131 -0.042
O6 2.083 -0.029 -0.072
H7 0.331 2.040 -0.443
H8 0.018 1.525 1.215
H9 -1.584 0.794 -1.287
H10 -2.234 1.136 0.321
H11 -1.832 -1.485 -0.534
H12 -1.547 -1.038 1.163

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52692.40232.30951.36331.19562.16192.13452.90143.33983.14682.8910
C21.52691.53102.38142.35532.45801.09031.09632.17012.21383.31782.8905
C32.40231.53101.53762.37253.56182.22682.19341.09401.09162.21702.1974
C42.30952.38141.53761.43673.44583.32812.89042.17222.19721.09181.0968
O51.36332.35532.37251.43672.24303.20282.94092.86273.29592.05342.0665
O61.19562.45803.56183.44582.24302.73582.88693.94994.48884.20263.9643
H72.16191.09032.22683.32813.20282.73581.76392.43632.82544.13703.9472
H82.13451.09632.19342.89042.94092.88691.76393.05972.45383.94213.0033
H92.90142.17011.09402.17222.86273.94992.43633.05971.76852.41303.0599
H103.33982.21381.09162.19723.29594.48882.82542.45381.76852.78642.4312
H113.14683.31782.21701.09182.05344.20264.13703.94212.41302.78641.7777
H122.89102.89052.19741.09682.06653.96433.94723.00333.05992.43121.7777

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 103.555 C1 C2 H7 110.272
C1 C2 H8 107.788 C1 O5 C4 111.115
C2 C1 O5 109.025 C2 C1 O6 128.658
C2 C3 C4 101.802 C2 C3 H9 110.420
C2 C3 H10 114.113 C3 C2 H7 115.285
C3 C2 H8 112.148 C3 C4 O5 105.763
C3 C4 H11 113.873 C3 C4 H12 111.960
C4 C3 H9 110.118 C4 C3 H10 112.267
O5 C1 O6 122.316 O5 C4 H11 107.825
O5 C4 H12 108.566 H7 C2 H8 107.550
H9 C3 H10 108.032 H11 C4 H12 108.628
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.433      
2 C -0.349      
3 C -0.231      
4 C -0.073      
5 O -0.214      
6 O -0.332      
7 H 0.142      
8 H 0.140      
9 H 0.124      
10 H 0.117      
11 H 0.127      
12 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.077 1.376 0.359 4.318
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.834 1.633 0.260
y 1.633 -34.750 -0.071
z 0.260 -0.071 -33.065
Traceless
 xyz
x -5.926 1.633 0.260
y 1.633 1.700 -0.071
z 0.260 -0.071 4.226
Polar
3z2-r28.452
x2-y2-5.084
xy1.633
xz0.260
yz-0.071


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.146 0.415 -0.090
y 0.415 6.655 0.018
z -0.090 0.018 5.566


<r2> (average value of r2) Å2
<r2> 139.973
(<r2>)1/2 11.831