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 C5H11N (Piperidine)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes NH equatorial 1A'
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-252.002152
Energy at 298.15K-252.016508
HF Energy-252.002152
Nuclear repulsion energy259.090890
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/aug-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' 3530 3415 0.22      
2 A' 3062 2963 81.46      
3 A' 3056 2956 4.16      
4 A' 3049 2950 65.61      
5 A' 3019 2921 17.22      
6 A' 2999 2902 25.50      
7 A' 2894 2800 156.82      
8 A' 1511 1462 2.40      
9 A' 1495 1446 6.96      
10 A' 1487 1439 6.76      
11 A' 1420 1374 2.72      
12 A' 1382 1338 0.17      
13 A' 1313 1270 1.01      
14 A' 1289 1247 3.05      
15 A' 1169 1131 3.97      
16 A' 1063 1028 8.98      
17 A' 1047 1013 1.90      
18 A' 904 875 3.02      
19 A' 870 841 9.17      
20 A' 817 791 0.22      
21 A' 753 728 77.74      
22 A' 546 528 23.34      
23 A' 435 421 7.32      
24 A' 395 382 1.31      
25 A' 241 233 1.35      
26 A" 3057 2958 9.67      
27 A" 3054 2955 93.58      
28 A" 3019 2921 25.62      
29 A" 2889 2795 33.01      
30 A" 1500 1451 0.13      
31 A" 1489 1440 1.82      
32 A" 1478 1430 5.02      
33 A" 1377 1332 0.93      
34 A" 1367 1322 3.48      
35 A" 1349 1305 23.08      
36 A" 1296 1253 1.96      
37 A" 1184 1146 5.85      
38 A" 1171 1133 3.11      
39 A" 1127 1091 19.88      
40 A" 1062 1027 1.88      
41 A" 981 949 0.80      
42 A" 878 849 0.21      
43 A" 821 795 0.78      
44 A" 453 439 0.77      
45 A" 248 240 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 34771.0 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 33641.0 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.15087 0.14830 0.08454

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.628 1.333 0.000
H2 0.550 2.422 0.000
H3 1.697 1.096 0.000
C4 -0.016 0.750 1.263
C5 -0.016 0.750 -1.263
C6 -0.016 -0.778 -1.218
C7 -0.016 -0.778 1.218
N8 -0.679 -1.240 0.000
H9 -0.768 -2.247 0.000
H10 0.512 1.094 2.156
H11 0.512 1.094 -2.156
H12 -1.049 1.096 1.341
H13 -1.049 1.096 -1.341
H14 1.027 -1.134 -1.282
H15 1.027 -1.134 1.282
H16 -0.549 -1.182 -2.080
H17 -0.549 -1.182 2.080

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09181.09481.53321.53322.52072.52072.88603.84272.17192.17192.16072.16072.80862.80863.46963.4696
H21.09181.75322.17072.17073.47033.47033.86274.85152.53232.53232.47272.47273.80993.80994.30394.3039
H31.09481.75322.15632.15632.81602.81603.33224.15382.45962.45963.05633.05632.65822.65823.81593.8159
C41.53322.17072.15632.52702.91401.52872.44883.33841.09213.47651.09262.82363.33402.15343.89812.1644
C51.53322.17072.15632.52701.52872.91402.44883.33843.47651.09212.82361.09262.15343.33402.16443.8981
C62.52073.47032.81602.91401.52872.43551.46152.05103.89362.15893.33602.14361.10382.73171.09123.3647
C72.52073.47032.81601.52872.91402.43551.46152.05102.15893.89362.14363.33602.73171.10383.36471.0912
N82.88603.86273.33222.44882.44881.46151.46151.01103.39273.39272.71912.71912.13662.13662.08462.0846
H93.84274.85154.15383.33843.33842.05102.05101.01104.17674.17673.61313.61312.47072.47072.34672.3467
H102.17192.53232.45961.09213.47653.89362.15893.39274.17674.31101.76113.82974.12812.44744.92372.5122
H112.17192.53232.45963.47651.09212.15893.89363.39274.17674.31103.82971.76112.44744.12812.51224.9237
H122.16072.47273.05631.09262.82363.33602.14362.71913.61311.76113.82972.68274.02053.04754.14072.4468
H132.16072.47273.05632.82361.09262.14363.33602.71913.61313.82971.76112.68273.04754.02052.44684.1407
H142.80863.80992.65823.33402.15341.10382.73172.13662.47074.12812.44744.02053.04752.56371.76703.7129
H152.80863.80992.65822.15343.33402.73171.10382.13662.47072.44744.12813.04754.02052.56373.71291.7670
H163.46964.30393.81593.89812.16441.09123.36472.08462.34674.92372.51224.14072.44681.76703.71294.1595
H173.46964.30393.81592.16443.89813.36471.09122.08462.34672.51224.92372.44684.14073.71291.76704.1595

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.822 C1 C4 H10 110.516
C1 C4 H12 109.601 C1 C5 C6 110.822
C1 C5 H11 110.516 C1 C5 H13 109.601
H2 C1 H3 106.600 H2 C1 C4 110.437
H2 C1 C5 110.437 H3 C1 C4 109.132
H3 C1 C5 109.132 C4 C1 C5 110.986
C4 C7 N8 109.934 C4 C7 H15 108.693
C4 C7 H17 110.293 C5 C6 N8 109.934
C5 C6 H14 108.693 C5 C6 H16 110.293
C6 C5 H11 109.807 C6 C5 H13 108.580
C6 N8 C7 112.855 C6 N8 H9 110.784
C7 C4 H10 109.807 C7 C4 H12 108.580
C7 N8 H9 110.784 N8 C6 H14 112.033
N8 C6 H16 108.632 N8 C7 H15 112.033
N8 C7 H17 108.632 H10 C4 H12 107.432
H11 C5 H13 107.432 H14 C6 H16 107.221
H15 C7 H17 107.221
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.206      
2 H 0.150      
3 H 0.154      
4 C -0.305      
5 C -0.305      
6 C -0.197      
7 C -0.197      
8 N -0.332      
9 H -0.089      
10 H 0.197      
11 H 0.197      
12 H 0.106      
13 H 0.106      
14 H 0.111      
15 H 0.111      
16 H 0.250      
17 H 0.250      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.716 -0.407 0.000 0.824
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.009 -0.150 0.000
y -0.150 -37.215 0.000
z 0.000 0.000 -38.652
Traceless
 xyz
x -4.075 -0.150 0.000
y -0.150 3.115 0.000
z 0.000 0.000 0.960
Polar
3z2-r21.920
x2-y2-4.793
xy-0.150
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.692 0.322 0.000
y 0.322 10.476 0.000
z 0.000 0.000 10.929


<r2> (average value of r2) Å2
<r2> 158.672
(<r2>)1/2 12.597