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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-211.376274
Energy at 298.15K-211.387641
Nuclear repulsion energy189.267958
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 mPW1PW91/3-21G*
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 3534 3356 0.58      
2 A 3173 3013 35.40      
3 A 3157 2998 14.99      
4 A 3119 2962 36.65      
5 A 3105 2949 16.15      
6 A 3102 2946 28.88      
7 A 3084 2928 40.84      
8 A 3026 2873 71.55      
9 A 2966 2817 94.00      
10 A 1596 1515 1.67      
11 A 1576 1497 2.82      
12 A 1549 1471 5.75      
13 A 1534 1457 6.55      
14 A 1474 1399 6.21      
15 A 1413 1342 0.77      
16 A 1381 1312 2.03      
17 A 1364 1296 3.64      
18 A 1336 1268 22.64      
19 A 1279 1215 2.35      
20 A 1275 1211 7.15      
21 A 1223 1161 3.36      
22 A 1208 1147 0.51      
23 A 1162 1103 18.60      
24 A 1117 1061 10.73      
25 A 1080 1026 2.13      
26 A 1010 959 3.47      
27 A 943 895 1.99      
28 A 936 889 0.58      
29 A 919 873 1.61      
30 A 897 852 3.22      
31 A 847 804 0.78      
32 A 762 724 32.20      
33 A 590 561 2.45      
34 A 490 465 127.20      
35 A 278 264 1.77      
36 A 56 53 2.74      

Unscaled Zero Point Vibrational Energy (zpe) 28779.4 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 27328.9 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 mPW1PW91/3-21G*
ABC
0.22727 0.22430 0.12878

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.541 -1.097 0.000
H2 0.500 -2.118 0.000
C3 -0.107 -0.473 1.172
C4 -0.107 -0.473 -1.172
C5 -0.107 1.027 0.782
C6 -0.107 1.027 -0.782
H7 -1.149 -0.809 1.322
H8 -1.149 -0.809 -1.322
H9 0.465 -0.668 2.083
H10 0.465 -0.668 -2.083
H11 0.801 1.506 1.154
H12 0.801 1.506 -1.154
H13 -0.976 1.544 1.193
H14 -0.976 1.544 -1.193

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02171.47771.47772.35372.35372.16522.16522.12762.12762.85912.85913.27163.2716
H21.02172.10912.10913.29633.29632.48592.48592.53752.53753.81503.81504.12494.1249
C31.47772.10912.34391.54912.46261.10512.72391.09283.31012.17733.18572.19653.2278
C41.47772.10912.34392.46261.54912.72391.10513.31011.09283.18572.17733.22782.1965
C52.35373.29631.54912.46261.56362.17882.98032.21153.37691.09202.19091.09242.2193
C62.35373.29632.46261.54911.56362.98032.17883.37692.21152.19091.09202.21931.0924
H72.16522.48591.10512.72392.17882.98032.64441.78923.77043.03173.91052.36343.4493
H82.16522.48592.72391.10512.98032.17882.64443.77041.78923.91053.03173.44932.3634
H92.12762.53751.09283.31012.21153.37691.78923.77044.16512.38843.91342.78614.2076
H102.12762.53753.31011.09283.37692.21153.77041.78924.16513.91342.38844.20762.7861
H112.85913.81502.17733.18571.09202.19093.03173.91052.38843.91342.30731.77782.9441
H122.85913.81503.18572.17732.19091.09203.91053.03173.91342.38842.30732.94411.7778
H133.27164.12492.19653.22781.09242.21932.36343.44932.78614.20761.77782.94412.3868
H143.27164.12493.22782.19652.21931.09243.44932.36344.20762.78612.94411.77782.3868

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.065 N1 C3 H7 113.132
N1 C3 H9 110.839 N1 C4 C6 102.065
N1 C4 H8 113.132 N1 C4 H10 110.839
H2 N1 C3 113.854 H2 N1 C4 113.854
C3 N1 C4 104.955 C3 C5 C6 104.589
C3 C5 H11 109.844 C3 C5 H13 111.339
C4 C6 C5 104.589 C4 C6 H12 109.844
C4 C6 H14 111.339 C5 C3 H7 109.207
C5 C3 H9 112.526 C5 C6 H12 109.909
C5 C6 H14 112.138 C6 C4 H8 109.207
C6 C4 H10 112.526 C6 C5 H11 109.909
C6 C5 H13 112.138 H7 C3 H9 108.986
H8 C4 H10 108.986 H11 C5 H13 108.956
H12 C6 H14 108.956
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.608      
2 H 0.289      
3 C -0.245      
4 C -0.251      
5 C -0.461      
6 C -0.436      
7 H 0.195      
8 H 0.183      
9 H 0.220      
10 H 0.222      
11 H 0.223      
12 H 0.236      
13 H 0.221      
14 H 0.213      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.100 0.135 1.065 1.078
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.074 -0.140 0.020
y -0.140 -30.678 -1.931
z 0.020 -1.931 -33.143
Traceless
 xyz
x 0.836 -0.140 0.020
y -0.140 1.430 -1.931
z 0.020 -1.931 -2.267
Polar
3z2-r2-4.533
x2-y2-0.396
xy-0.140
xz0.020
yz-1.931


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.175 0.031 -0.118
y 0.031 6.595 -0.098
z -0.118 -0.098 5.853


<r2> (average value of r2) Å2
<r2> 109.675
(<r2>)1/2 10.473