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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/SDD

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/SDD
 hartrees
Energy at 0K-212.547412
Energy at 298.15K-212.558720
Nuclear repulsion energy188.232256
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/SDD
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' 3553 3415 0.66      
2 A' 3148 3026 103.64      
3 A' 3104 2984 9.71      
4 A' 3082 2963 66.62      
5 A' 2942 2829 178.82      
6 A' 1547 1487 1.41      
7 A' 1527 1468 8.89      
8 A' 1398 1344 0.17      
9 A' 1320 1269 3.93      
10 A' 1240 1192 0.70      
11 A' 1223 1176 4.58      
12 A' 1091 1049 1.05      
13 A' 1004 965 3.15      
14 A' 945 908 6.53      
15 A' 901 866 1.35      
16 A' 832 800 31.84      
17 A' 730 702 36.23      
18 A' 543 522 121.88      
19 A' 256 246 4.92      
20 A" 3122 3001 4.26      
21 A" 3095 2975 90.47      
22 A" 3069 2950 26.25      
23 A" 2935 2821 77.88      
24 A" 1533 1474 0.01      
25 A" 1512 1453 2.02      
26 A" 1445 1389 7.73      
27 A" 1338 1287 2.46      
28 A" 1314 1263 27.50      
29 A" 1253 1204 4.32      
30 A" 1203 1157 0.06      
31 A" 1148 1103 14.50      
32 A" 1125 1082 1.11      
33 A" 943 906 1.55      
34 A" 879 845 3.76      
35 A" 646 621 0.87      
36 A" 29 28 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 28487.2 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 27384.8 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 B3LYP/SDD
ABC
0.22380 0.22318 0.12635

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.491 -1.127 0.000
H2 0.451 -2.146 0.000
C3 -0.096 -0.467 1.187
C4 -0.096 -0.467 -1.187
C5 -0.096 1.033 0.783
C6 -0.096 1.033 -0.783
H7 -1.134 -0.798 1.395
H8 -1.134 -0.798 -1.395
H9 0.507 -0.664 2.081
H10 0.507 -0.664 -2.081
H11 0.805 1.527 1.161
H12 0.805 1.527 -1.161
H13 -0.965 1.557 1.200
H14 -0.965 1.557 -1.200

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01941.47951.47952.37162.37162.16682.16682.13222.13222.91452.91453.28073.2807
H21.01942.12752.12753.31943.31942.50512.50512.55552.55553.86863.86864.14204.1420
C31.47952.12752.37401.55372.47641.10912.80271.09633.32912.18883.21022.20293.2478
C41.47952.12752.37402.47641.55372.80271.10913.32911.09633.21022.18883.24782.2029
C52.37163.31941.55372.47641.56652.19213.02942.21983.38341.09522.19961.09642.2272
C62.37163.31942.47641.55371.56653.02942.19213.38342.21982.19961.09522.22721.0964
H72.16682.50511.10912.80272.19213.02942.79081.78363.84673.03693.96302.36983.5088
H82.16682.50512.80271.10913.02942.19212.79083.84671.78363.96303.03693.50882.3698
H92.13222.55551.09633.32912.21983.38341.78363.84674.16222.39493.92482.80634.2262
H102.13222.55553.32911.09633.38342.21983.84671.78364.16223.92482.39494.22622.8063
H112.91453.86862.18883.21021.09522.19963.03693.96302.39493.92482.32291.77012.9506
H122.91453.86863.21022.18882.19961.09523.96303.03693.92482.39492.32292.95061.7701
H133.28074.14202.20293.24781.09642.22722.36983.50882.80634.22621.77012.95062.3992
H143.28074.14203.24782.20292.22721.09643.50882.36984.22622.80632.95061.77012.3992

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.842 N1 C3 H7 112.881
N1 C3 H9 110.860 N1 C4 C6 102.842
N1 C4 H8 112.881 N1 C4 H10 110.860
H2 N1 C3 115.487 H2 N1 C4 115.487
C3 N1 C4 106.695 C3 C5 C6 105.062
C3 C5 H11 110.245 C3 C5 H13 111.289
C4 C6 C5 105.062 C4 C6 H12 110.245
C4 C6 H14 111.289 C5 C3 H7 109.698
C5 C3 H9 112.647 C5 C6 H12 110.202
C5 C6 H14 112.319 C6 C4 H8 109.698
C6 C4 H10 112.647 C6 C5 H11 110.202
C6 C5 H13 112.319 H7 C3 H9 107.942
H8 C4 H10 107.942 H11 C5 H13 107.740
H12 C6 H14 107.740
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.342      
2 H 0.252      
3 C -0.341      
4 C -0.341      
5 C -0.377      
6 C -0.377      
7 H 0.163      
8 H 0.163      
9 H 0.205      
10 H 0.205      
11 H 0.208      
12 H 0.208      
13 H 0.187      
14 H 0.187      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.133 -0.174 0.000 1.146
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.896 0.909 0.000
y 0.909 -29.748 0.000
z 0.000 0.000 -30.992
Traceless
 xyz
x -3.526 0.909 0.000
y 0.909 2.696 0.000
z 0.000 0.000 0.830
Polar
3z2-r21.661
x2-y2-4.148
xy0.909
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.960 0.153 0.000
y 0.153 7.112 0.000
z 0.000 0.000 7.467


<r2> (average value of r2) Å2
<r2> 111.053
(<r2>)1/2 10.538