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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/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 B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-212.600398
Energy at 298.15K-212.611892
Nuclear repulsion energy189.899089
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/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' 3528 3405 0.73      
2 A' 3118 3008 58.32      
3 A' 3076 2969 21.79      
4 A' 3062 2955 31.69      
5 A' 2925 2823 133.63      
6 A' 1533 1480 1.03      
7 A' 1505 1453 2.17      
8 A' 1403 1354 4.10      
9 A' 1317 1271 0.61      
10 A' 1246 1203 1.89      
11 A' 1225 1182 6.03      
12 A' 1068 1031 0.65      
13 A' 1008 972 2.75      
14 A' 944 911 4.52      
15 A' 904 872 2.16      
16 A' 873 842 51.03      
17 A' 764 738 25.32      
18 A' 577 557 45.24      
19 A' 291 281 3.25      
20 A" 3096 2988 0.13      
21 A" 3067 2959 95.65      
22 A" 3058 2951 0.00      
23 A" 2920 2818 45.87      
24 A" 1514 1461 2.11      
25 A" 1487 1435 0.22      
26 A" 1441 1391 4.41      
27 A" 1330 1283 4.19      
28 A" 1308 1262 17.07      
29 A" 1247 1204 6.77      
30 A" 1202 1160 0.18      
31 A" 1137 1098 13.80      
32 A" 1109 1070 2.71      
33 A" 933 900 0.04      
34 A" 871 841 2.87      
35 A" 638 616 0.70      
36 A" 76 73 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 28400.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 27406.7 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/6-31G(2df,p)
ABC
0.22862 0.22648 0.12949

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.525 -1.103 0.000
H2 0.396 -2.109 0.000
C3 -0.100 -0.469 1.161
C4 -0.100 -0.469 -1.161
C5 -0.100 1.025 0.778
C6 -0.100 1.025 -0.778
H7 -1.139 -0.810 1.330
H8 -1.139 -0.810 -1.330
H9 0.468 -0.679 2.073
H10 0.468 -0.679 -2.073
H11 0.797 1.518 1.160
H12 0.797 1.518 -1.160
H13 -0.963 1.548 1.198
H14 -0.963 1.548 -1.198

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01431.46371.46372.35122.35122.15002.15002.11712.11712.87972.87973.26783.2678
H21.01432.07042.07043.26783.26782.41102.41102.52012.52013.82963.82964.08134.0813
C31.46372.07042.32301.54272.44841.10602.72041.09463.29102.18023.18502.19373.2218
C41.46372.07042.32302.44841.54272.72041.10603.29101.09463.18502.18023.22182.1937
C52.35123.26781.54272.44841.55612.17962.98152.21453.37001.09282.19221.09272.2190
C62.35123.26782.44841.54271.55612.98152.17963.37002.21452.19221.09282.21901.0927
H72.15002.41101.10602.72042.17962.98152.65931.77533.76553.03243.92012.36753.4611
H82.15002.41102.72041.10602.98152.17962.65933.76551.77533.92013.03243.46112.3675
H92.11712.52011.09463.29102.21453.37001.77533.76554.14662.40153.92312.78734.2082
H102.11712.52013.29101.09463.37002.21453.76551.77534.14663.92312.40154.20822.7873
H112.87973.82962.18023.18501.09282.19223.03243.92012.40153.92312.32091.76102.9435
H122.87973.82963.18502.18022.19221.09283.92013.03243.92312.40152.32092.94351.7610
H133.26784.08132.19373.22181.09272.21902.36753.46112.78734.20821.76102.94352.3970
H143.26784.08133.22182.19372.21901.09273.46112.36754.20822.78732.94351.76102.3970

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.866 N1 C3 H7 112.840
N1 C3 H9 110.872 N1 C4 C6 102.866
N1 C4 H8 112.840 N1 C4 H10 110.872
H2 N1 C3 112.064 H2 N1 C4 112.064
C3 N1 C4 105.032 C3 C5 C6 104.391
C3 C5 H11 110.467 C3 C5 H13 111.547
C4 C6 C5 104.391 C4 C6 H12 110.467
C4 C6 H14 111.547 C5 C3 H7 109.650
C5 C3 H9 113.120 C5 C6 H12 110.480
C5 C6 H14 112.628 C6 C4 H8 109.650
C6 C4 H10 113.120 C6 C5 H11 110.480
C6 C5 H13 112.628 H7 C3 H9 107.558
H8 C4 H10 107.558 H11 C5 H13 107.365
H12 C6 H14 107.365
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.285      
2 H 0.213      
3 C -0.151      
4 C -0.151      
5 C -0.183      
6 C -0.183      
7 H 0.073      
8 H 0.073      
9 H 0.095      
10 H 0.095      
11 H 0.106      
12 H 0.106      
13 H 0.095      
14 H 0.095      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.808 -0.218 0.000 0.837
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.646 0.755 0.000
y 0.755 -30.188 0.000
z 0.000 0.000 -31.522
Traceless
 xyz
x -2.792 0.755 0.000
y 0.755 2.397 0.000
z 0.000 0.000 0.395
Polar
3z2-r20.790
x2-y2-3.459
xy0.755
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.495 -0.089 0.000
y -0.089 7.377 0.000
z 0.000 0.000 7.822


<r2> (average value of r2) Å2
<r2> 109.349
(<r2>)1/2 10.457