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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-212.575505
Energy at 298.15K-212.587068
Nuclear repulsion energy190.938016
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 mPW1PW91/6-311G*
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' 3571 3408 0.98      
2 A' 3143 3000 71.93      
3 A' 3105 2964 12.05      
4 A' 3091 2950 49.14      
5 A' 2948 2814 168.58      
6 A' 1551 1480 0.76      
7 A' 1523 1454 6.99      
8 A' 1415 1350 0.41      
9 A' 1337 1276 2.13      
10 A' 1267 1209 1.77      
11 A' 1247 1190 7.49      
12 A' 1089 1039 0.48      
13 A' 1024 977 2.43      
14 A' 967 923 8.92      
15 A' 926 883 4.39      
16 A' 897 856 66.70      
17 A' 777 741 26.00      
18 A' 585 558 50.18      
19 A' 305 291 4.81      
20 A" 3121 2979 1.32      
21 A" 3098 2957 97.15      
22 A" 3082 2941 11.17      
23 A" 2943 2809 49.43      
24 A" 1531 1461 0.23      
25 A" 1502 1433 1.04      
26 A" 1464 1398 8.90      
27 A" 1345 1284 7.72      
28 A" 1323 1263 16.89      
29 A" 1266 1208 6.55      
30 A" 1220 1164 0.37      
31 A" 1157 1104 11.76      
32 A" 1123 1072 0.45      
33 A" 953 910 0.50      
34 A" 884 844 2.66      
35 A" 641 612 0.75      
36 A" 76 72 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 28746.3 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 27435.5 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 mPW1PW91/6-311G*
ABC
0.23145 0.22889 0.13133

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.533 -1.092 0.000
H2 0.417 -2.097 0.000
C3 -0.102 -0.467 1.151
C4 -0.102 -0.467 -1.151
C5 -0.102 1.018 0.773
C6 -0.102 1.018 -0.773
H7 -1.140 -0.813 1.304
H8 -1.140 -0.813 -1.304
H9 0.456 -0.675 2.067
H10 0.456 -0.675 -2.067
H11 0.795 1.507 1.156
H12 0.795 1.507 -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
N11.01191.45581.45582.33512.33512.13912.13912.11012.11012.85612.85613.25523.2552
H21.01192.06212.06213.25143.25142.40272.40272.50902.50903.80353.80354.07044.0704
C31.45582.06212.30281.53272.43101.10452.68791.09233.27332.16833.16622.18523.2061
C41.45582.06212.30282.43101.53272.68791.10453.27331.09233.16622.16833.20612.1852
C52.33513.25141.53272.43101.54622.17082.95712.20343.35371.09112.18281.09132.2105
C62.33513.25142.43101.53271.54622.95712.17083.35372.20342.18281.09112.21051.0913
H72.13912.40271.10452.68792.17082.95712.60771.77393.73213.02463.89572.36383.4381
H82.13912.40272.68791.10452.95712.17082.60773.73211.77393.89573.02463.43812.3638
H92.11012.50901.09233.27332.20343.35371.77393.73214.13452.38943.90732.77224.1913
H102.11012.50903.27331.09233.35372.20343.73211.77394.13453.90732.38944.19132.7722
H112.85613.80352.16833.16621.09112.18283.02463.89572.38943.90732.31161.75782.9350
H122.85613.80353.16622.16832.18281.09113.89573.02463.90732.38942.31162.93501.7578
H133.25524.07042.18523.20611.09132.21052.36383.43812.77224.19131.75782.93502.3900
H143.25524.07043.20612.18522.21051.09133.43812.36384.19132.77222.93501.75782.3900

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.743 N1 C3 H7 112.619
N1 C3 H9 111.006 N1 C4 C6 102.743
N1 C4 H8 112.619 N1 C4 H10 111.006
H2 N1 C3 112.110 H2 N1 C4 112.110
C3 N1 C4 104.544 C3 C5 C6 104.291
C3 C5 H11 110.329 C3 C5 H13 111.670
C4 C6 C5 104.291 C4 C6 H12 110.329
C4 C6 H14 111.670 C5 C3 H7 109.737
C5 C3 H9 113.079 C5 C6 H12 110.535
C5 C6 H14 112.745 C6 C4 H8 109.737
C6 C4 H10 113.079 C6 C5 H11 110.535
C6 C5 H13 112.745 H7 C3 H9 107.704
H8 C4 H10 107.704 H11 C5 H13 107.307
H12 C6 H14 107.307
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.542      
2 H 0.312      
3 C -0.301      
4 C -0.301      
5 C -0.443      
6 C -0.443      
7 H 0.193      
8 H 0.193      
9 H 0.216      
10 H 0.216      
11 H 0.230      
12 H 0.230      
13 H 0.221      
14 H 0.221      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.936 -0.298 0.000 0.982
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.153 0.796 0.000
y 0.796 -30.335 0.000
z 0.000 0.000 -31.562
Traceless
 xyz
x -3.205 0.796 0.000
y 0.796 2.522 0.000
z 0.000 0.000 0.683
Polar
3z2-r21.366
x2-y2-3.818
xy0.796
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 108.431
(<r2>)1/2 10.413