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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/CEP-31G*

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/CEP-31G*
 hartrees
Energy at 0K-37.902864
Energy at 298.15K-37.914265
Nuclear repulsion energy105.753385
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/CEP-31G*
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' 3505 3384 2.13      
2 A' 3130 3022 113.76      
3 A' 3084 2978 16.93      
4 A' 3071 2966 58.67      
5 A' 2950 2848 176.72      
6 A' 1533 1480 1.19      
7 A' 1503 1452 4.44      
8 A' 1389 1341 1.69      
9 A' 1312 1267 1.35      
10 A' 1237 1195 0.28      
11 A' 1219 1177 7.01      
12 A' 1062 1025 0.87      
13 A' 994 960 4.75      
14 A' 933 901 4.00      
15 A' 900 869 14.75      
16 A' 882 852 57.44      
17 A' 753 727 12.62      
18 A' 572 553 43.19      
19 A' 296 285 4.73      
20 A" 3103 2997 6.55      
21 A" 3070 2965 108.89      
22 A" 3062 2957 8.81      
23 A" 2946 2845 56.92      
24 A" 1513 1461 1.35      
25 A" 1480 1429 0.78      
26 A" 1428 1379 4.76      
27 A" 1320 1275 10.67      
28 A" 1294 1249 13.50      
29 A" 1236 1193 6.26      
30 A" 1187 1146 0.03      
31 A" 1115 1077 10.70      
32 A" 1077 1040 2.10      
33 A" 925 893 0.60      
34 A" 853 824 3.17      
35 A" 620 599 0.59      
36 A" 65 63 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 28307.7 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 27336.8 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/CEP-31G*
ABC
0.22477 0.22188 0.12743

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.547 -1.110 0.000
H2 0.396 -2.123 0.000
C3 -0.104 -0.474 1.169
C4 -0.104 -0.474 -1.169
C5 -0.104 1.035 0.785
C6 -0.104 1.035 -0.785
H7 -1.151 -0.824 1.321
H8 -1.151 -0.824 -1.321
H9 0.462 -0.682 2.093
H10 0.462 -0.682 -2.093
H11 0.805 1.526 1.168
H12 0.805 1.526 -1.168
H13 -0.975 1.561 1.210
H14 -0.975 1.561 -1.210

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02461.48161.48162.37552.37552.17002.17002.13762.13762.89442.89443.30383.3038
H21.02462.08272.08273.29323.29322.41382.41382.54192.54193.85323.85324.11344.1134
C31.48162.08272.33831.55752.46951.11382.72381.10313.31712.19673.20772.21403.2499
C41.48162.08272.33832.46951.55752.72381.11383.31711.10313.20772.19673.24992.2140
C52.37553.29321.55752.46951.57062.20002.99842.23133.39891.10162.20991.10232.2398
C62.37553.29322.46951.55751.57062.99842.20003.39892.23132.20991.10162.23981.1023
H72.17002.41381.11382.72382.20002.99842.64231.79363.77833.06093.94252.39443.4827
H82.17002.41382.72381.11382.99842.20002.64233.77831.79363.94253.06093.48272.3944
H92.13762.54191.10313.31712.23133.39891.79363.77834.18532.41763.95272.80624.2433
H102.13762.54193.31711.10313.39892.23133.77831.79364.18533.95272.41764.24332.8062
H112.89443.85322.19673.20771.10162.20993.06093.94252.41763.95272.33661.78062.9709
H122.89443.85323.20772.19672.20991.10163.94253.06093.95272.41762.33662.97091.7806
H133.30384.11342.21403.24991.10232.23982.39443.48272.80624.24331.78062.97092.4206
H143.30384.11343.24992.21402.23981.10233.48272.39444.24332.80622.97091.78062.4206

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.792 N1 C3 H7 112.687
N1 C3 H9 110.734 N1 C4 C6 102.792
N1 C4 H8 112.687 N1 C4 H10 110.734
H2 N1 C3 111.090 H2 N1 C4 111.090
C3 N1 C4 104.202 C3 C5 C6 104.267
C3 C5 H11 110.221 C3 C5 H13 111.546
C4 C6 C5 104.267 C4 C6 H12 110.221
C4 C6 H14 111.546 C5 C3 H7 109.773
C5 C3 H9 112.881 C5 C6 H12 110.345
C5 C6 H14 112.678 C6 C4 H8 109.773
C6 C4 H10 112.881 C6 C5 H11 110.345
C6 C5 H13 112.678 H7 C3 H9 108.000
H8 C4 H10 108.000 H11 C5 H13 107.789
H12 C6 H14 107.789
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.263      
2 H 0.249      
3 C -0.329      
4 C -0.329      
5 C -0.263      
6 C -0.263      
7 H 0.108      
8 H 0.108      
9 H 0.197      
10 H 0.197      
11 H 0.136      
12 H 0.136      
13 H 0.158      
14 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.198 -0.158 0.000 1.208
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.551 1.152 0.000
y 1.152 -30.023 0.000
z 0.000 0.000 -31.141
Traceless
 xyz
x -2.969 1.152 0.000
y 1.152 2.323 0.000
z 0.000 0.000 0.646
Polar
3z2-r21.292
x2-y2-3.528
xy1.152
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.980 0.120 0.000
y 0.120 7.481 0.000
z 0.000 0.000 7.722


<r2> (average value of r2) Å2
<r2> 94.460
(<r2>)1/2 9.719