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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYPultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYPultrafine/cc-pVTZ
 hartrees
Energy at 0K-212.663250
Energy at 298.15K-212.674747
HF Energy-212.663250
Nuclear repulsion energy190.249968
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 B3LYPultrafine/cc-pVTZ
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 3409 0.05      
2 A' 3104 3001 63.50      
3 A' 3070 2968 16.74      
4 A' 3057 2955 37.77      
5 A' 2919 2822 151.30      
6 A' 1532 1481 0.55      
7 A' 1509 1458 4.61      
8 A' 1397 1351 1.33      
9 A' 1316 1273 1.23      
10 A' 1244 1203 1.50      
11 A' 1226 1185 6.45      
12 A' 1065 1029 0.59      
13 A' 1002 968 3.02      
14 A' 939 908 5.25      
15 A' 898 868 1.92      
16 A' 868 839 50.36      
17 A' 764 739 29.60      
18 A' 578 559 49.26      
19 A' 286 276 3.65      
20 A" 3083 2980 1.07      
21 A" 3061 2959 96.93      
22 A" 3051 2949 2.76      
23 A" 2915 2818 47.42      
24 A" 1515 1464 0.52      
25 A" 1492 1442 0.81      
26 A" 1442 1394 6.44      
27 A" 1332 1288 0.89      
28 A" 1309 1266 19.40      
29 A" 1249 1208 5.90      
30 A" 1204 1164 0.16      
31 A" 1132 1094 11.23      
32 A" 1103 1066 5.73      
33 A" 929 898 0.12      
34 A" 872 843 3.11      
35 A" 640 618 0.88      
36 A" 72 70 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 28349.9 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 27405.8 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 B3LYPultrafine/cc-pVTZ
ABC
0.22922 0.22747 0.12985

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.515 -1.105 0.000
H2 0.403 -2.111 0.000
C3 -0.099 -0.467 1.163
C4 -0.099 -0.467 -1.163
C5 -0.099 1.023 0.777
C6 -0.099 1.023 -0.777
H7 -1.133 -0.804 1.338
H8 -1.133 -0.804 -1.338
H9 0.473 -0.669 2.069
H10 0.473 -0.669 -2.069
H11 0.797 1.513 1.158
H12 0.797 1.513 -1.158
H13 -0.959 1.545 1.195
H14 -0.959 1.545 -1.195

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01141.46201.46202.34772.34772.14412.14412.11502.11502.87622.87623.25943.2594
H21.01142.07522.07523.26753.26752.42002.42002.52252.52253.82383.82384.07974.0797
C31.46202.07522.32621.53942.44631.10172.72731.09053.28882.17243.17892.18813.2164
C41.46202.07522.32622.44631.53942.72731.10173.28881.09053.17892.17243.21642.1881
C52.34773.26751.53942.44631.55392.17332.98012.20513.36051.08892.18711.08912.2132
C62.34773.26752.44631.53941.55392.98012.17333.36052.20512.18711.08892.21321.0891
H72.14412.42001.10172.72732.17332.98012.67581.77003.76913.02013.91362.35973.4584
H82.14412.42002.72731.10172.98012.17332.67583.76911.77003.91363.02013.45842.3597
H92.11502.52251.09053.28882.20513.36051.77003.76914.13832.38673.90872.77844.1960
H102.11502.52253.28881.09053.36052.20513.76911.77004.13833.90872.38674.19602.7784
H112.87623.82382.17243.17891.08892.18713.02013.91362.38673.90872.31531.75602.9351
H122.87623.82383.17892.17242.18711.08893.91363.02013.90872.38672.31532.93511.7560
H133.25944.07972.18813.21641.08912.21322.35973.45842.77844.19601.75602.93512.3890
H143.25944.07973.21642.18812.21321.08913.45842.35974.19602.77842.93511.75602.3890

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.898 N1 C3 H7 112.753
N1 C3 H9 111.073 N1 C4 C6 102.898
N1 C4 H8 112.753 N1 C4 H10 111.073
H2 N1 C3 112.798 H2 N1 C4 112.798
C3 N1 C4 105.418 C3 C5 C6 104.528
C3 C5 H11 110.311 C3 C5 H13 111.558
C4 C6 C5 104.528 C4 C6 H12 110.311
C4 C6 H14 111.558 C5 C3 H7 109.632
C5 C3 H9 112.847 C5 C6 H12 110.464
C5 C6 H14 112.545 C6 C4 H8 109.632
C6 C4 H10 112.847 C6 C5 H11 110.464
C6 C5 H13 112.545 H7 C3 H9 107.686
H8 C4 H10 107.686 H11 C5 H13 107.464
H12 C6 H14 107.464
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.227      
2 H 0.106      
3 C -0.081      
4 C -0.081      
5 C -0.171      
6 C -0.171      
7 H 0.054      
8 H 0.054      
9 H 0.081      
10 H 0.081      
11 H 0.090      
12 H 0.090      
13 H 0.088      
14 H 0.088      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.835 -0.232 0.000 0.867
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.379 0.764 0.002
y 0.764 -30.880 0.000
z 0.002 0.000 -32.053
Traceless
 xyz
x -2.913 0.764 0.002
y 0.764 2.336 0.000
z 0.002 0.000 0.577
Polar
3z2-r21.153
x2-y2-3.499
xy0.764
xz0.002
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.204 -0.087 0.000
y -0.087 8.192 -0.000
z 0.000 -0.000 8.626


<r2> (average value of r2) Å2
<r2> 109.443
(<r2>)1/2 10.461