return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/TZVP

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/TZVP
 hartrees
Energy at 0K-212.658738
Energy at 298.15K-212.670274
HF Energy-212.658738
Nuclear repulsion energy190.079876
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/TZVP
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 3406 0.13      
2 A' 3111 3003 62.88      
3 A' 3076 2970 11.26      
4 A' 3064 2958 43.83      
5 A' 2923 2822 156.17      
6 A' 1537 1484 0.54      
7 A' 1512 1459 5.14      
8 A' 1398 1350 0.80      
9 A' 1319 1274 1.62      
10 A' 1247 1204 1.28      
11 A' 1228 1185 6.63      
12 A' 1065 1028 0.65      
13 A' 1003 969 3.61      
14 A' 940 907 6.57      
15 A' 898 867 2.58      
16 A' 867 837 54.56      
17 A' 766 739 33.20      
18 A' 582 561 56.25      
19 A' 298 287 4.83      
20 A" 3090 2983 1.61      
21 A" 3069 2963 90.47      
22 A" 3056 2951 8.15      
23 A" 2919 2818 48.53      
24 A" 1519 1466 0.41      
25 A" 1493 1442 0.80      
26 A" 1441 1391 7.27      
27 A" 1331 1285 1.65      
28 A" 1310 1264 21.87      
29 A" 1251 1208 4.95      
30 A" 1204 1162 0.10      
31 A" 1134 1095 10.16      
32 A" 1104 1066 6.29      
33 A" 928 896 0.24      
34 A" 875 845 3.20      
35 A" 641 619 1.01      
36 A" 86 83 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 28404.9 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 27422.1 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/TZVP
ABC
0.22879 0.22711 0.12963

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.514 -1.107 0.000
H2 0.407 -2.114 0.000
C3 -0.099 -0.467 1.165
C4 -0.099 -0.467 -1.165
C5 -0.099 1.025 0.778
C6 -0.099 1.025 -0.778
H7 -1.134 -0.805 1.339
H8 -1.134 -0.805 -1.339
H9 0.475 -0.669 2.071
H10 0.475 -0.669 -2.071
H11 0.798 1.514 1.158
H12 0.798 1.514 -1.158
H13 -0.960 1.547 1.196
H14 -0.960 1.547 -1.196

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01281.46351.46352.35052.35052.14512.14512.11762.11762.87992.87993.26293.2629
H21.01282.08002.08003.27323.27322.42592.42592.52662.52663.82893.82894.08694.0869
C31.46352.08002.32941.54092.44891.10312.73041.09183.29272.17453.18202.19023.2203
C41.46352.08002.32942.44891.54092.73041.10313.29271.09183.18202.17453.22032.1902
C52.35053.27321.54092.44891.55532.17572.98312.20733.36381.09032.18901.09052.2159
C62.35053.27322.44891.54091.55532.98312.17573.36382.20732.18901.09032.21591.0905
H72.14512.42591.10312.73042.17572.98312.67811.77303.77343.02373.91752.36203.4622
H82.14512.42592.73041.10312.98312.17572.67813.77341.77303.91753.02373.46222.3620
H92.11762.52661.09183.29272.20733.36381.77303.77344.14282.38863.91192.78094.2007
H102.11762.52663.29271.09183.36382.20733.77341.77304.14283.91192.38864.20072.7809
H112.87993.82892.17453.18201.09032.18903.02373.91752.38863.91192.31671.75842.9385
H122.87993.82893.18202.17452.18901.09033.91753.02373.91192.38862.31672.93851.7584
H133.26294.08692.19023.22031.09052.21592.36203.46222.78094.20071.75842.93852.3927
H143.26294.08693.22032.19022.21591.09053.46222.36204.20072.78092.93851.75842.3927

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.921 N1 C3 H7 112.638
N1 C3 H9 111.097 N1 C4 C6 102.921
N1 C4 H8 112.638 N1 C4 H10 111.097
H2 N1 C3 113.014 H2 N1 C4 113.014
C3 N1 C4 105.461 C3 C5 C6 104.547
C3 C5 H11 110.295 C3 C5 H13 111.528
C4 C6 C5 104.547 C4 C6 H12 110.295
C4 C6 H14 111.528 C5 C3 H7 109.632
C5 C3 H9 112.831 C5 C6 H12 110.438
C5 C6 H14 112.580 C6 C4 H8 109.632
C6 C4 H10 112.831 C6 C5 H11 110.438
C6 C5 H13 112.580 H7 C3 H9 107.762
H8 C4 H10 107.762 H11 C5 H13 107.480
H12 C6 H14 107.480
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.305      
2 H 0.199      
3 C -0.185      
4 C -0.185      
5 C -0.218      
6 C -0.218      
7 H 0.099      
8 H 0.099      
9 H 0.121      
10 H 0.121      
11 H 0.123      
12 H 0.123      
13 H 0.112      
14 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.958 -0.213 0.000 0.981
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.768 0.860 0.000
y 0.860 -30.813 0.000
z 0.000 0.000 -31.993
Traceless
 xyz
x -3.365 0.860 0.000
y 0.860 2.568 0.000
z 0.000 0.000 0.797
Polar
3z2-r21.595
x2-y2-3.955
xy0.860
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.245 -0.062 0.000
y -0.062 8.103 0.000
z 0.000 0.000 8.570


<r2> (average value of r2) Å2
<r2> 109.656
(<r2>)1/2 10.472