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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-211.422135
Energy at 298.15K-211.433462
Nuclear repulsion energy188.381707
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3466 3344 0.99      
2 A 3141 3031 43.74      
3 A 3125 3015 17.11      
4 A 3091 2982 35.85      
5 A 3078 2970 3.49      
6 A 3077 2969 48.03      
7 A 3055 2948 46.17      
8 A 2996 2891 74.61      
9 A 2936 2833 97.58      
10 A 1595 1539 1.68      
11 A 1576 1521 4.20      
12 A 1552 1498 3.80      
13 A 1539 1485 4.50      
14 A 1463 1412 3.42      
15 A 1407 1357 0.28      
16 A 1376 1328 1.58      
17 A 1360 1313 3.07      
18 A 1328 1281 20.31      
19 A 1270 1226 2.91      
20 A 1267 1223 5.90      
21 A 1215 1173 2.89      
22 A 1198 1156 0.36      
23 A 1150 1110 13.88      
24 A 1092 1053 16.44      
25 A 1061 1024 2.76      
26 A 1005 970 3.39      
27 A 925 893 1.59      
28 A 918 886 0.84      
29 A 897 866 1.59      
30 A 884 853 2.81      
31 A 836 807 0.78      
32 A 756 730 31.89      
33 A 592 572 2.69      
34 A 497 479 115.48      
35 A 271 261 1.77      
36 A 47 45 2.85      

Unscaled Zero Point Vibrational Energy (zpe) 28520.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 27519.6 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 B3LYP/3-21G
ABC
0.22492 0.22219 0.12723

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.086 -1.219 -0.227
H2 0.208 -2.155 0.163
C3 1.261 -0.315 -0.020
C4 -1.144 -0.521 0.221
C5 0.636 1.108 0.158
C6 -0.857 0.925 -0.236
H7 1.855 -0.576 0.869
H8 -1.304 -0.535 1.315
H9 1.922 -0.355 -0.894
H10 -2.027 -0.945 -0.267
H11 1.140 1.858 -0.457
H12 -0.969 0.985 -1.322
H13 0.703 1.415 1.206
H14 -1.510 1.658 0.243

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02151.49661.48372.42132.34142.17852.18602.13532.13133.26002.67713.06143.3235
H21.02152.12742.12163.29043.28252.38862.49722.70042.57784.16563.66713.75194.1830
C31.49662.12742.42611.56452.46361.10062.90031.09583.35732.21992.89132.19343.4126
C41.48372.12162.42612.41371.54303.06931.10603.26641.09473.36692.16332.85122.2097
C52.42133.29041.56452.41371.55452.19712.79362.21283.38941.09292.18661.09502.2176
C62.34143.28252.46361.54301.55453.29052.17673.12862.20612.21511.09392.17981.0931
H72.17852.38861.10063.06932.19713.29053.19101.77764.06242.86223.90052.32534.0879
H82.18602.49722.90031.10602.79362.17673.19103.91361.78783.85263.06272.80032.4502
H92.13532.70041.09583.26642.21283.12861.77763.91364.04152.38663.21453.00484.1380
H102.13132.57783.35731.09473.38942.20614.06241.78784.04154.23362.44073.89802.7027
H113.26004.16562.21993.36691.09292.21512.86223.85262.38664.23362.44101.77632.7488
H122.67713.66712.89132.16332.18661.09393.90053.06273.21452.44072.44103.06161.7882
H133.06143.75192.19342.85121.09502.17982.32532.80033.00483.89801.77633.06162.4256
H143.32354.18303.41262.20972.21761.09314.08792.45024.13802.70272.74881.78822.4256

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 104.538 N1 C3 H7 113.141
N1 C3 H9 109.947 N1 C4 C6 101.335
N1 C4 H8 114.370 N1 C4 H10 110.601
H2 N1 C3 113.978 H2 N1 C4 114.488
C3 N1 C4 108.990 C3 C5 C6 104.345
C3 C5 H11 112.086 C3 C5 H13 109.870
C4 C6 C5 102.380 C4 C6 H12 109.052
C4 C6 H14 112.794 C5 C3 H7 109.830
C5 C3 H9 111.348 C5 C6 H12 110.085
C5 C6 H14 112.601 C6 C4 H8 109.397
C6 C4 H10 112.403 C6 C5 H11 112.420
C6 C5 H13 109.490 H7 C3 H9 108.059
H8 C4 H10 108.660 H11 C5 H13 108.561
H12 C6 H14 109.696
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.572     0.129
2 H 0.266     0.080
3 C -0.202     -0.122
4 C -0.205     -0.159
5 C -0.400     -0.668
6 C -0.376     0.023
7 H 0.168     0.036
8 H 0.157     0.035
9 H 0.193     0.049
10 H 0.194     0.076
11 H 0.194     0.051
12 H 0.206     0.081
13 H 0.193     0.057
14 H 0.184     0.334


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.096 0.149 1.055 1.070
CHELPG        
AIM        
ESP 0.004 -0.141 0.991 1.001


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.335 -0.135 0.028
y -0.135 -30.963 -1.939
z 0.028 -1.939 -33.336
Traceless
 xyz
x 0.815 -0.135 0.028
y -0.135 1.372 -1.939
z 0.028 -1.939 -2.187
Polar
3z2-r2-4.374
x2-y2-0.372
xy-0.135
xz0.028
yz-1.939


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.187 -0.000 -0.000
y -0.000 6.720 0.017
z -0.000 0.017 5.911


<r2> (average value of r2) Å2
<r2> 110.839
(<r2>)1/2 10.528