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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G*
 hartrees
Energy at 0K-212.342346
Energy at 298.15K-212.353893
Nuclear repulsion energy190.701109
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 HSEh1PBE/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' 3554 3380 0.92      
2 A' 3161 3006 54.52      
3 A' 3118 2966 12.19      
4 A' 3105 2953 40.38      
5 A' 2959 2814 144.78      
6 A' 1560 1484 0.96      
7 A' 1532 1457 4.52      
8 A' 1420 1351 2.18      
9 A' 1340 1275 1.56      
10 A' 1268 1206 1.03      
11 A' 1246 1185 7.71      
12 A' 1093 1039 0.57      
13 A' 1027 977 2.45      
14 A' 970 923 8.14      
15 A' 928 883 4.39      
16 A' 899 855 67.46      
17 A' 778 740 24.61      
18 A' 585 557 48.81      
19 A' 304 289 4.31      
20 A" 3141 2988 0.25      
21 A" 3112 2960 83.77      
22 A" 3098 2946 8.13      
23 A" 2955 2810 46.33      
24 A" 1540 1464 1.70      
25 A" 1510 1436 0.76      
26 A" 1462 1390 6.91      
27 A" 1347 1281 11.03      
28 A" 1325 1260 15.88      
29 A" 1265 1203 7.02      
30 A" 1219 1159 0.48      
31 A" 1163 1106 11.94      
32 A" 1127 1072 0.12      
33 A" 957 910 0.27      
34 A" 886 843 2.90      
35 A" 640 609 0.60      
36 A" 78 75 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 28836.3 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 27423.3 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 HSEh1PBE/6-31G*
ABC
0.23093 0.22835 0.13111

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.528 -1.093 0.000
H2 0.416 -2.101 0.000
C3 -0.101 -0.468 1.154
C4 -0.101 -0.468 -1.154
C5 -0.101 1.020 0.774
C6 -0.101 1.020 -0.774
H7 -1.141 -0.810 1.320
H8 -1.141 -0.810 -1.320
H9 0.468 -0.674 2.067
H10 0.468 -0.674 -2.067
H11 0.799 1.510 1.157
H12 0.799 1.510 -1.157
H13 -0.966 1.541 1.195
H14 -0.966 1.541 -1.195

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01481.45541.45542.33632.33632.14712.14712.10992.10992.86082.86083.25573.2557
H21.01482.06562.06563.25703.25702.41592.41592.51262.51263.81113.81114.07534.0753
C31.45542.06562.30801.53572.43561.10682.70551.09563.27752.17323.17222.18833.2098
C41.45542.06562.30802.43561.53572.70551.10683.27751.09563.17222.17323.20982.1883
C52.33633.25701.53572.43561.54852.17392.96902.20553.35651.09392.18621.09402.2128
C62.33633.25702.43561.53571.54852.96902.17393.35652.20552.18621.09392.21281.0940
H72.14712.41591.10682.70552.17392.96902.64061.77913.75263.02803.90882.36103.4472
H82.14712.41592.70551.10682.96902.17392.64063.75261.77913.90883.02803.44722.3610
H92.10992.51261.09563.27752.20553.35651.77913.75264.13422.38883.90792.77974.1957
H102.10992.51263.27751.09563.35652.20553.75261.77914.13423.90792.38884.19572.7797
H112.86083.81112.17323.17221.09392.18623.02803.90882.38883.90792.31371.76552.9402
H122.86083.81113.17222.17322.18621.09393.90883.02803.90792.38882.31372.94021.7655
H133.25574.07532.18833.20981.09402.21282.36103.44722.77974.19571.76552.94022.3891
H143.25574.07533.20982.18832.21281.09403.44722.36104.19572.77972.94021.76552.3891

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.687 N1 C3 H7 113.152
N1 C3 H9 110.816 N1 C4 C6 102.687
N1 C4 H8 113.152 N1 C4 H10 110.816
H2 N1 C3 112.250 H2 N1 C4 112.250
C3 N1 C4 104.917 C3 C5 C6 104.318
C3 C5 H11 110.340 C3 C5 H13 111.535
C4 C6 C5 104.318 C4 C6 H12 110.340
C4 C6 H14 111.535 C5 C3 H7 109.640
C5 C3 H9 112.831 C5 C6 H12 110.475
C5 C6 H14 112.594 C6 C4 H8 109.640
C6 C4 H10 112.831 C6 C5 H11 110.475
C6 C5 H13 112.594 H7 C3 H9 107.763
H8 C4 H10 107.763 H11 C5 H13 107.601
H12 C6 H14 107.601
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.576      
2 H 0.316      
3 C -0.183      
4 C -0.183      
5 C -0.331      
6 C -0.331      
7 H 0.136      
8 H 0.136      
9 H 0.167      
10 H 0.167      
11 H 0.177      
12 H 0.177      
13 H 0.165      
14 H 0.165      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.928 -0.266 0.000 0.965
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.849 0.787 0.000
y 0.787 -29.853 0.000
z 0.000 0.000 -31.199
Traceless
 xyz
x -3.323 0.787 0.000
y 0.787 2.671 0.000
z 0.000 0.000 0.652
Polar
3z2-r21.305
x2-y2-3.996
xy0.787
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.318 -0.083 0.000
y -0.083 7.016 0.000
z 0.000 0.000 7.494


<r2> (average value of r2) Å2
<r2> 108.382
(<r2>)1/2 10.411