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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: HF/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes NH equatorial 1A'
1 2 no NH axial 1A'

Conformer 1 (NH equatorial)

Jump to S1C2
Energy calculated at HF/3-21G
 hartrees
Energy at 0K-248.803258
Energy at 298.15K-248.817921
Nuclear repulsion energy258.820645
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 HF/3-21G
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' 3709 3359 0.33      
2 A' 3263 2955 84.92      
3 A' 3242 2936 7.84      
4 A' 3233 2928 59.58      
5 A' 3208 2905 12.71      
6 A' 3189 2888 22.03      
7 A' 3113 2819 124.66      
8 A' 1683 1524 4.73      
9 A' 1656 1500 4.23      
10 A' 1651 1495 8.23      
11 A' 1559 1412 1.50      
12 A' 1515 1372 1.99      
13 A' 1437 1302 0.34      
14 A' 1423 1288 3.22      
15 A' 1274 1154 2.97      
16 A' 1152 1043 13.18      
17 A' 1112 1007 0.51      
18 A' 967 876 8.12      
19 A' 926 838 1.81      
20 A' 847 767 0.72      
21 A' 747 677 97.26      
22 A' 574 520 47.12      
23 A' 459 415 18.89      
24 A' 416 377 3.55      
25 A' 255 231 2.54      
26 A" 3255 2947 2.20      
27 A" 3239 2933 92.51      
28 A" 3208 2905 37.01      
29 A" 3107 2814 17.21      
30 A" 1671 1513 0.97      
31 A" 1639 1485 0.66      
32 A" 1631 1477 5.61      
33 A" 1516 1372 0.08      
34 A" 1507 1365 0.00      
35 A" 1492 1351 28.07      
36 A" 1426 1292 1.24      
37 A" 1303 1180 0.33      
38 A" 1294 1172 7.13      
39 A" 1201 1088 25.68      
40 A" 1126 1020 0.21      
41 A" 1080 978 0.98      
42 A" 914 828 0.38      
43 A" 896 812 0.26      
44 A" 481 436 1.18      
45 A" 259 235 0.58      

Unscaled Zero Point Vibrational Energy (zpe) 37425.7 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 33892.7 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 HF/3-21G
ABC
0.14949 0.14850 0.08446

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.666 1.314 0.000
H2 0.627 2.398 0.000
H3 1.713 1.023 0.000
C4 -0.017 0.755 1.263
C5 -0.017 0.755 -1.263
C6 -0.017 -0.780 -1.230
C7 -0.017 -0.780 1.230
N8 -0.690 -1.225 0.000
H9 -0.894 -2.208 0.000
H10 0.491 1.106 2.156
H11 0.491 1.106 -2.156
H12 -1.046 1.094 1.296
H13 -1.046 1.094 -1.296
H14 1.014 -1.137 -1.289
H15 1.014 -1.137 1.289
H16 -0.559 -1.172 -2.081
H17 -0.559 -1.172 2.081

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.08471.08701.54111.54112.52252.52252.87763.85152.17262.17262.15862.15862.79102.79103.46593.4659
H21.08471.75242.17022.17023.46783.46783.85414.85012.51682.51682.48582.48583.78253.78254.29924.2992
H31.08701.75242.15942.15942.78522.78523.29004.15142.47952.47953.04953.04952.61092.61093.78343.7834
C41.54112.17022.15942.52662.92771.53542.44263.33801.08503.47411.08362.77903.34052.15503.89802.1626
C51.54112.17022.15942.52661.53542.92772.44263.33803.47411.08502.77901.08362.15503.34052.16263.8980
C62.52253.46782.78522.92771.53542.45941.47032.07823.90822.16133.30882.13861.09272.74511.08293.3780
C72.52253.46782.78521.53542.92772.45941.47032.07822.16133.90822.13863.30882.74511.09273.37801.0829
N82.87763.85413.29002.44262.44261.47031.47031.00423.38663.38662.67972.67972.13802.13802.08622.0862
H93.85154.85014.15143.33803.33802.07822.07821.00424.18844.18843.54993.54992.53922.53922.34892.3489
H102.17262.51682.47951.08503.47413.90822.16133.38664.18844.31101.76103.77824.14372.46064.92372.5092
H112.17262.51682.47953.47411.08502.16133.90823.38664.18844.31103.77821.76102.46064.14372.50924.9237
H122.15862.48583.04951.08362.77903.30882.13862.67973.54991.76103.77822.59183.98783.03644.09612.4471
H132.15862.48583.04952.77901.08362.13863.30882.67973.54993.77821.76102.59183.03643.98782.44714.0961
H142.79103.78252.61093.34052.15501.09272.74512.13802.53924.14372.46063.98783.03642.57851.76133.7197
H152.79103.78252.61092.15503.34052.74511.09272.13802.53922.46064.14373.03643.98782.57853.71971.7613
H163.46594.29923.78343.89802.16261.08293.37802.08622.34894.92372.50924.09612.44711.76133.71974.1629
H173.46594.29923.78342.16263.89803.37801.08292.08622.34892.50924.92372.44714.09613.71971.76134.1629

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.150 C1 C4 H10 110.442
C1 C4 H12 109.413 C1 C5 C6 110.150
C1 C5 H11 110.442 C1 C5 H13 109.413
H2 C1 H3 107.588 H2 C1 C4 110.263
H2 C1 C5 110.263 H3 C1 C4 109.281
H3 C1 C5 109.281 C4 C1 C5 110.115
C4 C7 N8 108.696 C4 C7 H15 109.002
C4 C7 H17 110.165 C5 C6 N8 108.696
C5 C6 H14 109.002 C5 C6 H16 110.165
C6 C5 H11 109.945 C6 C5 H13 108.249
C6 N8 C7 113.518 C6 N8 H9 112.896
C7 C4 H10 109.945 C7 C4 H12 108.249
C7 N8 H9 112.896 N8 C6 H14 112.223
N8 C6 H16 108.640 N8 C7 H15 112.223
N8 C7 H17 108.640 H10 C4 H12 108.594
H11 C5 H13 108.594 H14 C6 H16 108.108
H15 C7 H17 108.108
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.418      
2 H 0.209      
3 H 0.199      
4 C -0.404      
5 C -0.404      
6 C -0.183      
7 C -0.183      
8 N -0.722      
9 H 0.301      
10 H 0.199      
11 H 0.199      
12 H 0.220      
13 H 0.220      
14 H 0.172      
15 H 0.172      
16 H 0.212      
17 H 0.212      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.776 -0.575 0.000 0.966
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.604 0.068 0.000
y 0.068 -36.907 0.000
z 0.000 0.000 -38.073
Traceless
 xyz
x -4.114 0.068 0.000
y 0.068 2.932 0.000
z 0.000 0.000 1.182
Polar
3z2-r22.365
x2-y2-4.697
xy0.068
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.061 0.362 0.000
y 0.362 7.938 0.000
z 0.000 0.000 8.360


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at HF/3-21G
 hartrees
Energy at 0K-248.802747
Energy at 298.15K-248.817392
Nuclear repulsion energy258.319586
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 HF/3-21G
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' 3685 3337 0.19      
2 A' 3256 2948 86.21      
3 A' 3241 2935 46.76      
4 A' 3233 2928 37.06      
5 A' 3206 2904 43.15      
6 A' 3191 2889 24.79      
7 A' 3189 2888 16.56      
8 A' 1668 1510 5.62      
9 A' 1655 1499 11.88      
10 A' 1651 1495 2.29      
11 A' 1533 1388 0.32      
12 A' 1509 1367 1.27      
13 A' 1459 1321 0.03      
14 A' 1408 1275 6.97      
15 A' 1292 1170 2.03      
16 A' 1137 1030 5.42      
17 A' 1071 970 4.28      
18 A' 965 874 20.53      
19 A' 922 835 6.58      
20 A' 846 766 9.79      
21 A' 728 659 177.95      
22 A' 598 542 1.94      
23 A' 465 421 3.02      
24 A' 411 372 9.52      
25 A' 256 232 6.71      
26 A" 3252 2945 26.48      
27 A" 3233 2927 79.36      
28 A" 3202 2899 12.61      
29 A" 3189 2888 21.85      
30 A" 1652 1496 2.82      
31 A" 1649 1493 0.92      
32 A" 1625 1472 10.14      
33 A" 1514 1371 0.07      
34 A" 1503 1361 1.07      
35 A" 1498 1357 1.66      
36 A" 1430 1295 0.28      
37 A" 1326 1201 8.77      
38 A" 1247 1130 1.79      
39 A" 1183 1072 25.82      
40 A" 1126 1020 0.79      
41 A" 1044 945 7.08      
42 A" 906 820 0.02      
43 A" 881 798 0.13      
44 A" 488 442 1.06      
45 A" 252 228 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 37384.9 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 33855.7 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 HF/3-21G
ABC
0.14835 0.14700 0.08424

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.669 1.310 0.000
H2 0.632 2.394 0.000
H3 1.716 1.018 0.000
C4 -0.011 0.751 1.267
C5 -0.011 0.751 -1.267
C6 -0.011 -0.791 -1.228
C7 -0.011 -0.791 1.228
N8 -0.622 -1.326 0.000
H9 -1.623 -1.223 0.000
H10 0.501 1.100 2.157
H11 0.501 1.100 -2.157
H12 -1.036 1.108 1.311
H13 -1.036 1.108 -1.311
H14 1.012 -1.148 -1.269
H15 1.012 -1.148 1.269
H16 -0.537 -1.199 -2.083
H17 -0.537 -1.199 2.083

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.08461.08701.54261.54262.52732.52732.93593.41622.17412.17412.16042.16042.78812.78813.47673.4767
H21.08461.75142.17252.17253.47423.47423.92654.26282.51912.51912.48162.48163.78233.78234.31464.3146
H31.08701.75142.15822.15822.78672.78673.31144.02152.47742.47743.04983.04982.60772.60773.78533.7853
C41.54262.17252.15822.53312.93271.54222.50832.84561.08523.47951.08672.79683.32892.15723.91092.1779
C51.54262.17252.15822.53311.54222.93272.50832.84563.47951.08522.79681.08672.15723.32892.17793.9109
C62.52733.47422.78672.93271.54222.45651.47272.07213.91182.16863.33232.15951.08472.72221.08293.3772
C72.52733.47422.78671.54222.93272.45651.47272.07212.16863.91182.15953.33232.72221.08473.37721.0829
N82.93593.92653.31142.50832.50831.47271.47271.00613.43573.43572.79542.79542.07692.07692.08842.0884
H93.41624.26284.02152.84562.84562.07212.07211.00613.81603.81602.73752.73752.92592.92592.34922.3492
H102.17412.51912.47741.08523.47953.91182.16863.43573.81604.31471.75483.79364.13002.47154.93372.5236
H112.17412.51912.47743.47951.08522.16863.91183.43573.81604.31473.79361.75482.47154.13002.52364.9337
H122.16042.48163.04981.08672.79683.33232.15952.79542.73751.75483.79362.62173.99273.04784.13362.4831
H132.16042.48163.04982.79681.08672.15953.33232.79542.73753.79361.75482.62173.04783.99272.48314.1336
H142.78813.78232.60773.32892.15721.08472.72222.07692.92594.13002.47153.99273.04782.53761.75053.6925
H152.78813.78232.60772.15723.32892.72221.08472.07692.92592.47154.13003.04783.99272.53763.69251.7505
H163.47674.31463.78533.91092.17791.08293.37722.08842.34924.93372.52364.13362.48311.75053.69254.1655
H173.47674.31463.78532.17793.91093.37721.08292.08842.34922.52364.93372.48314.13363.69251.75054.1655

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.022 C1 C4 H10 110.440
C1 C4 H12 109.277 C1 C5 C6 110.022
C1 C5 H11 110.440 C1 C5 H13 109.277
H2 C1 H3 107.509 H2 C1 C4 110.351
H2 C1 C5 110.351 H3 C1 C4 109.093
H3 C1 C5 109.093 C4 C1 C5 110.379
C4 C7 N8 112.583 C4 C7 H15 109.166
C4 C7 H17 110.910 C5 C6 N8 112.583
C5 C6 H14 109.166 C5 C6 H16 110.910
C6 C5 H11 110.033 C6 C5 H13 109.234
C6 N8 C7 113.032 C6 N8 H9 112.057
C7 C4 H10 110.033 C7 C4 H12 109.234
C7 N8 H9 112.057 N8 C6 H14 107.643
N8 C6 H16 108.651 N8 C7 H15 107.643
N8 C7 H17 108.651 H10 C4 H12 107.792
H11 C5 H13 107.792 H14 C6 H16 107.720
H15 C7 H17 107.720
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.411      
2 H 0.210      
3 H 0.202      
4 C -0.432      
5 C -0.432      
6 C -0.191      
7 C -0.191      
8 N -0.706      
9 H 0.294      
10 H 0.204      
11 H 0.204      
12 H 0.198      
13 H 0.198      
14 H 0.212      
15 H 0.212      
16 H 0.214      
17 H 0.214      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.280 1.233 0.000 1.264
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.274 -0.213 0.000
y -0.213 -44.471 0.000
z 0.000 0.000 -37.982
Traceless
 xyz
x 3.952 -0.213 0.000
y -0.213 -6.843 0.000
z 0.000 0.000 2.891
Polar
3z2-r25.782
x2-y27.197
xy-0.213
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.435 0.240 0.000
y 0.240 7.370 0.000
z 0.000 0.000 8.364


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000