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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-212.554705
Energy at 298.15K-212.566234
Nuclear repulsion energy190.816111
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 mPW1PW91/6-31G(2df,p)
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' 3585 3423 0.64      
2 A' 3154 3011 48.63      
3 A' 3107 2966 18.09      
4 A' 3093 2953 32.50      
5 A' 2956 2822 126.59      
6 A' 1537 1467 1.16      
7 A' 1507 1439 3.57      
8 A' 1407 1344 2.34      
9 A' 1324 1264 1.05      
10 A' 1257 1200 1.50      
11 A' 1233 1177 6.85      
12 A' 1085 1036 0.37      
13 A' 1019 973 1.21      
14 A' 963 919 6.74      
15 A' 924 883 1.89      
16 A' 887 847 57.03      
17 A' 769 734 22.45      
18 A' 579 552 45.97      
19 A' 294 281 3.22      
20 A" 3133 2991 0.02      
21 A" 3098 2958 86.83      
22 A" 3088 2948 1.35      
23 A" 2952 2819 46.34      
24 A" 1516 1447 1.25      
25 A" 1487 1419 0.36      
26 A" 1449 1383 6.92      
27 A" 1332 1272 8.69      
28 A" 1313 1254 14.59      
29 A" 1252 1196 6.58      
30 A" 1211 1156 0.48      
31 A" 1158 1105 12.71      
32 A" 1118 1067 0.03      
33 A" 952 909 0.19      
34 A" 877 837 2.49      
35 A" 639 610 0.56      
36 A" 75 71 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 28664.6 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 27366.1 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 mPW1PW91/6-31G(2df,p)
ABC
0.23112 0.22863 0.13103

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.528 -1.094 0.000
H2 0.406 -2.098 0.000
C3 -0.101 -0.467 1.153
C4 -0.101 -0.467 -1.153
C5 -0.101 1.020 0.774
C6 -0.101 1.020 -0.774
H7 -1.139 -0.809 1.314
H8 -1.139 -0.809 -1.314
H9 0.461 -0.677 2.067
H10 0.461 -0.677 -2.067
H11 0.797 1.510 1.156
H12 0.797 1.510 -1.156
H13 -0.962 1.542 1.195
H14 -0.962 1.542 -1.195

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01151.45491.45492.33712.33712.14142.14142.11022.11022.86192.86193.25503.2550
H21.01152.06052.06053.25233.25232.40332.40332.50972.50973.80903.80904.06814.0681
C31.45492.06052.30571.53472.43371.10482.69811.09353.27562.17143.16952.18643.2079
C41.45492.06052.30572.43371.53472.69811.10483.27561.09353.16952.17143.20792.1864
C52.33713.25231.53472.43371.54742.17112.96312.20613.35631.09162.18391.09152.2112
C62.33713.25232.43371.53471.54742.96312.17113.35632.20612.18391.09162.21121.0915
H72.14142.40331.10482.69812.17112.96312.62791.77353.74323.02453.90182.36053.4427
H82.14142.40332.69811.10482.96312.17112.62793.74321.77353.90183.02453.44272.3605
H92.11022.50971.09353.27562.20613.35631.77353.74324.13492.39243.90952.77624.1939
H102.11022.50973.27561.09353.35632.20613.74321.77354.13493.90952.39244.19392.7762
H112.86193.80902.17143.16951.09162.18393.02453.90182.39243.90952.31221.75892.9359
H122.86193.80903.16952.17142.18391.09163.90183.02453.90952.39242.31222.93591.7589
H133.25504.06812.18643.20791.09152.21122.36053.44272.77624.19391.75892.93592.3898
H143.25504.06813.20792.18642.21121.09153.44272.36054.19392.77622.93591.75892.3898

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.810 N1 C3 H7 112.848
N1 C3 H9 111.006 N1 C4 C6 102.810
N1 C4 H8 112.848 N1 C4 H10 111.006
H2 N1 C3 112.070 H2 N1 C4 112.070
C3 N1 C4 104.817 C3 C5 C6 104.303
C3 C5 H11 110.400 C3 C5 H13 111.608
C4 C6 C5 104.303 C4 C6 H12 110.400
C4 C6 H14 111.608 C5 C3 H7 109.604
C5 C3 H9 113.076 C5 C6 H12 110.508
C5 C6 H14 112.700 C6 C4 H8 109.604
C6 C4 H10 113.076 C6 C5 H11 110.508
C6 C5 H13 112.700 H7 C3 H9 107.559
H8 C4 H10 107.559 H11 C5 H13 107.357
H12 C6 H14 107.357
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.344      
2 H 0.240      
3 C -0.192      
4 C -0.192      
5 C -0.245      
6 C -0.245      
7 H 0.101      
8 H 0.101      
9 H 0.126      
10 H 0.126      
11 H 0.136      
12 H 0.136      
13 H 0.126      
14 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.829 -0.238 0.000 0.863
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.344 0.737 0.000
y 0.737 -29.819 0.000
z 0.000 0.000 -31.144
Traceless
 xyz
x -2.862 0.737 0.000
y 0.737 2.425 0.000
z 0.000 0.000 0.438
Polar
3z2-r20.875
x2-y2-3.525
xy0.737
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.455 -0.084 0.000
y -0.084 7.304 0.000
z 0.000 0.000 7.746


<r2> (average value of r2) Å2
<r2> 108.214
(<r2>)1/2 10.403