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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/6-31G**

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/6-31G**
 hartrees
Energy at 0K-212.595820
Energy at 298.15K-212.607327
Nuclear repulsion energy189.803715
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/6-31G**
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' 3527 3389 1.32      
2 A' 3127 3005 62.25      
3 A' 3085 2964 17.88      
4 A' 3073 2953 38.72      
5 A' 2932 2817 146.92      
6 A' 1548 1487 0.87      
7 A' 1520 1461 2.63      
8 A' 1408 1353 4.10      
9 A' 1325 1273 0.87      
10 A' 1252 1203 1.27      
11 A' 1232 1184 6.37      
12 A' 1070 1028 0.80      
13 A' 1010 970 3.78      
14 A' 947 910 5.31      
15 A' 903 867 3.21      
16 A' 876 842 57.44      
17 A' 768 738 27.46      
18 A' 580 557 49.45      
19 A' 297 285 4.05      
20 A" 3107 2985 0.33      
21 A" 3077 2957 94.77      
22 A" 3068 2947 3.15      
23 A" 2925 2811 48.32      
24 A" 1529 1469 2.89      
25 A" 1500 1442 0.43      
26 A" 1443 1387 4.23      
27 A" 1334 1282 6.86      
28 A" 1313 1262 18.16      
29 A" 1253 1204 7.46      
30 A" 1206 1158 0.25      
31 A" 1140 1095 11.53      
32 A" 1111 1068 3.47      
33 A" 933 897 0.05      
34 A" 877 842 3.30      
35 A" 639 614 0.73      
36 A" 80 77 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 28506.7 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 27389.3 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 B3LYP/6-31G**
ABC
0.22834 0.22630 0.12946

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.529 -1.101 0.000
H2 0.406 -2.111 0.000
C3 -0.101 -0.470 1.162
C4 -0.101 -0.470 -1.162
C5 -0.101 1.026 0.778
C6 -0.101 1.026 -0.778
H7 -1.141 -0.810 1.327
H8 -1.141 -0.810 -1.327
H9 0.465 -0.679 2.075
H10 0.465 -0.679 -2.075
H11 0.798 1.517 1.161
H12 0.798 1.517 -1.161
H13 -0.965 1.547 1.199
H14 -0.965 1.547 -1.199

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01671.46481.46482.35102.35102.15302.15302.11882.11882.87692.87693.26923.2692
H21.01672.07352.07353.27093.27092.41782.41782.52192.52193.82913.82914.08664.0866
C31.46482.07352.32321.54352.44941.10682.71871.09523.29272.18073.18562.19463.2233
C41.46482.07352.32322.44941.54352.71871.10683.29271.09523.18562.18073.22332.1946
C52.35103.27091.54352.44941.55692.18022.98092.21543.37201.09342.19301.09362.2205
C62.35103.27092.44941.54351.55692.98092.18023.37202.21542.19301.09342.22051.0936
H72.15302.41781.10682.71872.18022.98092.65431.77673.76483.03383.91982.36783.4603
H82.15302.41782.71871.10682.98092.18022.65433.76481.77673.91983.03383.46032.3678
H92.11882.52191.09523.29272.21543.37201.77673.76484.15062.40243.92502.78754.2103
H102.11882.52193.29271.09523.37202.21543.76481.77674.15063.92502.40244.21032.7875
H112.87693.82912.18073.18561.09342.19303.03383.91982.40243.92502.32111.76332.9457
H122.87693.82913.18562.18072.19301.09343.91983.03383.92502.40242.32112.94571.7633
H133.26924.08662.19463.22331.09362.22052.36783.46032.78754.21031.76332.94572.3989
H143.26924.08663.22332.19462.22051.09363.46032.36784.21032.78752.94571.76332.3989

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.765 N1 C3 H7 112.962
N1 C3 H9 110.895 N1 C4 C6 102.765
N1 C4 H8 112.962 N1 C4 H10 110.895
H2 N1 C3 112.088 H2 N1 C4 112.088
C3 N1 C4 104.934 C3 C5 C6 104.372
C3 C5 H11 110.424 C3 C5 H13 111.515
C4 C6 C5 104.372 C4 C6 H12 110.424
C4 C6 H14 111.515 C5 C3 H7 109.594
C5 C3 H9 113.101 C5 C6 H12 110.455
C5 C6 H14 112.639 C6 C4 H8 109.594
C6 C4 H10 113.101 C6 C5 H11 110.455
C6 C5 H13 112.639 H7 C3 H9 107.586
H8 C4 H10 107.586 H11 C5 H13 107.466
H12 C6 H14 107.466
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.504      
2 H 0.232      
3 C -0.041      
4 C -0.041      
5 C -0.190      
6 C -0.190      
7 H 0.071      
8 H 0.071      
9 H 0.095      
10 H 0.095      
11 H 0.108      
12 H 0.108      
13 H 0.093      
14 H 0.093      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.894 -0.231 0.000 0.924
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.977 0.800 0.000
y 0.800 -30.101 0.000
z 0.000 0.000 -31.389
Traceless
 xyz
x -3.233 0.800 0.000
y 0.800 2.582 0.000
z 0.000 0.000 0.650
Polar
3z2-r21.301
x2-y2-3.876
xy0.800
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.389 0.089 0.000
y 0.089 7.164 0.000
z 0.000 0.000 7.642


<r2> (average value of r2) Å2
<r2> 109.453
(<r2>)1/2 10.462