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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-211.422220
Energy at 298.15K-211.433588
Nuclear repulsion energy188.275215
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/3-21G*
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' 3429 3299 2.53      
2 A' 3150 3030 49.18      
3 A' 3106 2988 12.20      
4 A' 3092 2975 34.42      
5 A' 2944 2832 134.03      
6 A' 1585 1524 1.93      
7 A' 1557 1498 5.01      
8 A' 1413 1360 0.14      
9 A' 1345 1294 3.54      
10 A' 1249 1202 3.05      
11 A' 1244 1196 1.58      
12 A' 1071 1030 0.80      
13 A' 1018 979 8.12      
14 A' 930 895 0.68      
15 A' 881 848 0.98      
16 A' 837 805 25.81      
17 A' 735 707 47.05      
18 A' 551 530 93.53      
19 A' 281 271 4.54      
20 A" 3127 3009 0.80      
21 A" 3096 2979 70.49      
22 A" 3086 2968 3.80      
23 A" 2937 2825 45.66      
24 A" 1566 1507 1.42      
25 A" 1539 1481 1.38      
26 A" 1459 1403 3.00      
27 A" 1365 1313 0.05      
28 A" 1336 1285 18.64      
29 A" 1279 1230 11.35      
30 A" 1213 1167 0.01      
31 A" 1130 1088 6.53      
32 A" 1093 1051 10.75      
33 A" 916 881 0.50      
34 A" 886 852 3.51      
35 A" 649 625 1.30      
36 A" 35 34 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 28565.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 27480.0 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/3-21G*
ABC
0.22337 0.22323 0.12723

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.537 -1.107 0.000
H2 0.477 -2.130 0.000
C3 -0.106 -0.474 1.180
C4 -0.106 -0.474 -1.180
C5 -0.106 1.032 0.786
C6 -0.106 1.032 -0.786
H7 -1.147 -0.808 1.342
H8 -1.147 -0.808 -1.342
H9 0.473 -0.669 2.087
H10 0.473 -0.669 -2.087
H11 0.801 1.515 1.158
H12 0.801 1.515 -1.158
H13 -0.977 1.549 1.196
H14 -0.977 1.549 -1.196

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02471.48611.48612.36822.36822.17432.17432.13382.13382.87892.87893.28343.2834
H21.02472.11582.11583.31023.31022.48702.48702.54782.54783.83863.83864.13304.1330
C31.48612.11582.36101.55662.47681.10582.74911.09353.32452.18573.20112.20253.2405
C41.48612.11582.36102.47681.55662.74911.10583.32451.09353.20112.18573.24052.2025
C52.36823.31021.55662.47681.57202.18642.99972.21903.38921.09242.19901.09292.2262
C62.36823.31022.47681.55661.57202.99972.18643.38922.21902.19901.09242.22621.0929
H72.17432.48701.10582.74912.18642.99972.68321.78913.79513.03733.92962.36803.4682
H82.17432.48702.74911.10582.99972.18642.68323.79511.78913.92963.03733.46822.3680
H92.13382.54781.09353.32452.21903.38921.78913.79514.17482.39633.92612.79594.2199
H102.13382.54783.32451.09353.38922.21903.79511.78914.17483.92612.39634.21992.7959
H112.87893.83862.18573.20111.09242.19903.03733.92962.39633.92612.31691.77802.9505
H122.87893.83863.20112.18572.19901.09243.92963.03733.92612.39632.31692.95051.7780
H133.28344.13302.20253.24051.09292.22622.36803.46822.79594.21991.77802.95052.3930
H143.28344.13303.24052.20252.22621.09293.46822.36804.21992.79592.95051.77802.3930

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.187 N1 C3 H7 113.228
N1 C3 H9 110.703 N1 C4 C6 102.187
N1 C4 H8 113.228 N1 C4 H10 110.703
H2 N1 C3 113.577 H2 N1 C4 113.577
C3 N1 C4 105.189 C3 C5 C6 104.680
C3 C5 H11 109.954 C3 C5 H13 111.253
C4 C6 C5 104.680 C4 C6 H12 109.954
C4 C6 H14 111.253 C5 C3 H7 109.240
C5 C3 H9 112.538 C5 C6 H12 109.934
C5 C6 H14 112.063 C6 C4 H8 109.240
C6 C4 H10 112.538 C6 C5 H11 109.934
C6 C5 H13 112.063 H7 C3 H9 108.877
H8 C4 H10 108.877 H11 C5 H13 108.900
H12 C6 H14 108.900
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.557      
2 H 0.264      
3 C -0.222      
4 C -0.222      
5 C -0.374      
6 C -0.374      
7 H 0.160      
8 H 0.160      
9 H 0.193      
10 H 0.193      
11 H 0.203      
12 H 0.203      
13 H 0.186      
14 H 0.186      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.933 -0.289 0.000 0.976
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.182 0.689 0.000
y 0.689 -30.072 0.000
z 0.000 0.000 -31.170
Traceless
 xyz
x -3.561 0.689 0.000
y 0.689 2.604 0.000
z 0.000 0.000 0.957
Polar
3z2-r21.914
x2-y2-4.110
xy0.689
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.937 0.144 0.000
y 0.144 6.692 0.000
z 0.000 0.000 7.180


<r2> (average value of r2) Å2
<r2> 110.845
(<r2>)1/2 10.528