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

using model chemistry: mPW1PW91/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 mPW1PW91/Def2TZVPP
 hartrees
Energy at 0K-306.543961
Energy at 298.15K 
HF Energy-306.543961
Nuclear repulsion energy241.974251
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 mPW1PW91/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 3160 3160 6.24      
2 A 3147 3147 19.73      
3 A 3137 3137 15.58      
4 A 3087 3087 18.88      
5 A 3078 3078 4.28      
6 A 3063 3063 38.61      
7 A 1890 1890 430.33      
8 A 1531 1531 1.48      
9 A 1501 1501 7.53      
10 A 1464 1464 9.17      
11 A 1408 1408 21.95      
12 A 1350 1350 1.54      
13 A 1311 1311 10.99      
14 A 1269 1269 9.43      
15 A 1230 1230 24.36      
16 A 1204 1204 1.93      
17 A 1193 1193 204.20      
18 A 1103 1103 28.37      
19 A 1090 1090 59.82      
20 A 1025 1025 14.52      
21 A 954 954 3.78      
22 A 902 902 8.91      
23 A 887 887 13.95      
24 A 818 818 3.89      
25 A 693 693 4.56      
26 A 645 645 4.64      
27 A 537 537 2.84      
28 A 496 496 3.47      
29 A 204 204 1.67      
30 A 147 147 1.22      

Unscaled Zero Point Vibrational Energy (zpe) 21760.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21760.0 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 mPW1PW91/Def2TZVPP
ABC
0.24604 0.12071 0.08614

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.882 -0.002 0.003
C2 -0.026 1.199 0.164
C3 -1.397 0.664 -0.213
C4 -1.258 -0.817 0.125
O5 0.127 -1.124 -0.045
O6 2.071 -0.029 -0.069
H7 0.335 2.026 -0.443
H8 0.025 1.511 1.209
H9 -1.574 0.790 -1.281
H10 -2.219 1.134 0.323
H11 -1.827 -1.474 -0.529
H12 -1.534 -1.028 1.161

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51452.38442.29301.35291.19162.14702.11692.88233.31823.12802.8689
C21.51451.51982.36332.33782.44141.08641.09242.15692.20023.29662.8691
C32.38441.51981.52552.35583.53992.21512.18231.09001.08772.20302.1840
C42.29302.36331.52551.42903.42643.30742.87042.15882.18361.08751.0924
O51.35292.33782.35581.42902.23113.18142.92012.84373.27702.04322.0549
O61.19162.44143.53993.42642.23112.71592.86283.92764.46244.18213.9380
H72.14701.08642.21513.30743.18142.71591.75812.42342.81144.11373.9229
H82.11691.09242.18232.87042.92012.86281.75813.04602.44203.91872.9797
H92.88232.15691.09002.15882.84373.92762.42343.04601.76262.39863.0449
H103.31822.20021.08772.18363.27704.46242.81142.44201.76262.77072.4180
H113.12803.29662.20301.08752.04324.18214.11373.91872.39862.77071.7718
H122.86892.86912.18401.09242.05493.93803.92292.97973.04492.41801.7718

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 103.595 C1 C2 H7 110.189
C1 C2 H8 107.485 C1 O5 C4 110.999
C2 C1 O5 109.104 C2 C1 O6 128.495
C2 C3 C4 101.805 C2 C3 H9 110.391
C2 C3 H10 114.066 C3 C2 H7 115.408
C3 C2 H8 112.288 C3 C4 O5 105.714
C3 C4 H11 113.885 C3 C4 H12 112.022
C4 C3 H9 110.144 C4 C3 H10 112.278
O5 C1 O6 122.400 O5 C4 H11 107.798
O5 C4 H12 108.435 H7 C2 H8 107.593
H9 C3 H10 108.068 H11 C4 H12 108.744
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.225      
2 C -0.106      
3 C -0.140      
4 C 0.030      
5 O -0.204      
6 O -0.286      
7 H 0.083      
8 H 0.086      
9 H 0.079      
10 H 0.072      
11 H 0.082      
12 H 0.077      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.376 1.486 0.389 4.638
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.576 1.717 0.262
y 1.717 -35.016 -0.092
z 0.262 -0.092 -33.340
Traceless
 xyz
x -6.398 1.717 0.262
y 1.717 1.942 -0.092
z 0.262 -0.092 4.456
Polar
3z2-r28.912
x2-y2-5.560
xy1.717
xz0.262
yz-0.092


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.828 0.354 -0.072
y 0.354 7.293 0.017
z -0.072 0.017 5.989


<r2> (average value of r2) Å2
<r2> 138.741
(<r2>)1/2 11.779