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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B3PW91/cc-pVTZ

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 B3PW91/cc-pVTZ
 hartrees
Energy at 0K-251.905206
Energy at 298.15K-251.919548
Nuclear repulsion energy259.909439
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 B3PW91/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' 3550 3413 0.05      
2 A' 3080 2962 71.81      
3 A' 3068 2951 11.09      
4 A' 3065 2947 57.56      
5 A' 3031 2915 18.33      
6 A' 3014 2898 26.23      
7 A' 2901 2789 152.60      
8 A' 1499 1442 2.53      
9 A' 1485 1428 7.80      
10 A' 1477 1420 8.49      
11 A' 1418 1364 1.61      
12 A' 1377 1325 0.43      
13 A' 1313 1263 0.98      
14 A' 1286 1237 2.96      
15 A' 1165 1120 4.79      
16 A' 1066 1025 5.54      
17 A' 1055 1015 6.38      
18 A' 915 880 2.17      
19 A' 870 836 12.44      
20 A' 831 799 0.27      
21 A' 762 732 77.86      
22 A' 538 517 21.05      
23 A' 432 416 6.60      
24 A' 388 373 1.34      
25 A' 242 232 1.16      
26 A" 3076 2957 21.79      
27 A" 3065 2947 78.19      
28 A" 3032 2915 23.50      
29 A" 2896 2785 32.45      
30 A" 1490 1433 1.03      
31 A" 1482 1426 1.85      
32 A" 1467 1410 4.85      
33 A" 1375 1322 0.38      
34 A" 1359 1307 8.74      
35 A" 1344 1292 19.60      
36 A" 1293 1244 2.39      
37 A" 1189 1143 9.59      
38 A" 1166 1121 3.99      
39 A" 1146 1102 12.08      
40 A" 1071 1030 2.36      
41 A" 977 939 0.78      
42 A" 890 856 0.46      
43 A" 817 786 0.44      
44 A" 449 432 0.78      
45 A" 242 233 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 34826.3 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 33489.0 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 B3PW91/cc-pVTZ
ABC
0.15211 0.14923 0.08529

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.629 1.326 0.000
H2 0.559 2.416 0.000
H3 1.698 1.082 0.000
C4 -0.015 0.746 1.257
C5 -0.015 0.746 -1.257
C6 -0.015 -0.776 -1.208
C7 -0.015 -0.776 1.208
N8 -0.688 -1.228 0.000
H9 -0.768 -2.236 0.000
H10 0.512 1.089 2.152
H11 0.512 1.089 -2.152
H12 -1.050 1.093 1.334
H13 -1.050 1.093 -1.334
H14 1.031 -1.132 -1.263
H15 1.031 -1.132 1.263
H16 -0.541 -1.183 -2.074
H17 -0.541 -1.183 2.074

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09291.09641.52661.52662.50772.50772.87343.82582.16802.16802.15702.15702.79232.79233.45933.4593
H21.09291.75442.16752.16753.46063.46063.85174.83772.52882.52882.47352.47353.79603.79604.29764.2976
H31.09641.75442.15132.15132.80092.80093.32154.13452.45742.45743.05473.05472.63542.63543.80123.8012
C41.52662.16752.15132.51412.89691.52262.43543.32281.09323.46621.09412.81163.31262.14983.88562.1606
C51.52662.16752.15132.51411.52262.89692.43543.32283.46621.09322.81161.09412.14983.31262.16063.8856
C62.50773.46062.80092.89691.52262.41591.45512.03953.87822.15493.32032.13971.10592.70681.09253.3490
C72.50773.46062.80091.52262.89692.41591.45512.03952.15493.87822.13973.32032.70681.10593.34901.0925
N82.87343.85173.32152.43542.43541.45511.45511.01103.38193.38192.70142.70142.13522.13522.07992.0799
H93.82584.83774.13453.32283.32282.03952.03951.01104.16194.16193.59733.59732.45972.45972.33702.3370
H102.16802.52882.45741.09323.46623.87822.15493.38194.16194.30361.76243.81964.10662.44774.91222.5052
H112.16802.52882.45743.46621.09322.15493.87823.38194.16194.30363.81961.76242.44774.10662.50524.9122
H122.15702.47353.05471.09412.81163.32032.13972.70143.59731.76243.81962.66824.00313.04704.13022.4473
H132.15702.47353.05472.81161.09412.13973.32032.70143.59733.81961.76242.66823.04704.00312.44734.1302
H142.79233.79602.63543.31262.14981.10592.70682.13522.45974.10662.44774.00313.04702.52651.76903.6892
H152.79233.79602.63542.14983.31262.70681.10592.13522.45972.44774.10663.04704.00312.52653.68921.7690
H163.45934.29763.80123.88562.16061.09253.34902.07992.33704.91222.50524.13022.44731.76903.68924.1485
H173.45934.29763.80122.16063.88563.34901.09252.07992.33702.50524.91222.44734.13023.68921.76904.1485

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.651 C1 C4 H10 110.604
C1 C4 H12 109.683 C1 C5 C6 110.651
C1 C5 H11 110.604 C1 C5 H13 109.683
H2 C1 H3 106.514 H2 C1 C4 110.579
H2 C1 C5 110.579 H3 C1 C4 109.098
H3 C1 C5 109.098 C4 C1 C5 110.854
C4 C7 N8 109.727 C4 C7 H15 108.705
C4 C7 H17 110.340 C5 C6 N8 109.727
C5 C6 H14 108.705 C5 C6 H16 110.340
C6 C5 H11 109.845 C6 C5 H13 108.606
C6 N8 C7 112.228 C6 N8 H9 110.284
C7 C4 H10 109.845 C7 C4 H12 108.606
C7 N8 H9 110.284 N8 C6 H14 112.253
N8 C6 H16 108.627 N8 C7 H15 112.253
N8 C7 H17 108.627 H10 C4 H12 107.371
H11 C5 H13 107.371 H14 C6 H16 107.159
H15 C7 H17 107.159
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.166      
2 H 0.086      
3 H 0.079      
4 C -0.156      
5 C -0.156      
6 C -0.082      
7 C -0.082      
8 N -0.220      
9 H 0.104      
10 H 0.083      
11 H 0.083      
12 H 0.079      
13 H 0.079      
14 H 0.055      
15 H 0.055      
16 H 0.079      
17 H 0.079      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.631 -0.461 0.000 0.782
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.062 -0.029 0.000
y -0.029 -36.549 0.000
z 0.000 0.000 -38.038
Traceless
 xyz
x -3.768 -0.029 0.000
y -0.029 3.001 0.000
z 0.000 0.000 0.768
Polar
3z2-r21.535
x2-y2-4.512
xy-0.029
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.897 0.290 0.000
y 0.290 9.946 0.000
z 0.000 0.000 10.389


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B3PW91/cc-pVTZ
 hartrees
Energy at 0K-251.904080
Energy at 298.15K-251.918349
Nuclear repulsion energy259.417601
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 B3PW91/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' 3515 3380 0.48      
2 A' 3072 2954 67.88      
3 A' 3066 2948 41.00      
4 A' 3060 2942 49.91      
5 A' 3015 2900 52.79      
6 A' 3010 2894 44.58      
7 A' 3007 2892 2.28      
8 A' 1494 1436 3.14      
9 A' 1478 1421 12.17      
10 A' 1476 1420 2.27      
11 A' 1393 1339 2.59      
12 A' 1374 1321 2.32      
13 A' 1337 1285 0.21      
14 A' 1279 1230 6.81      
15 A' 1187 1141 2.26      
16 A' 1051 1011 1.59      
17 A' 1019 979 7.73      
18 A' 920 884 3.89      
19 A' 862 829 34.00      
20 A' 824 792 0.42      
21 A' 748 719 102.85      
22 A' 541 521 2.52      
23 A' 435 418 1.10      
24 A' 373 359 5.68      
25 A' 231 222 5.14      
26 A" 3070 2952 36.84      
27 A" 3058 2941 74.99      
28 A" 3012 2896 2.25      
29 A" 3004 2888 40.40      
30 A" 1491 1434 7.43      
31 A" 1474 1417 4.30      
32 A" 1464 1408 4.41      
33 A" 1377 1324 0.93      
34 A" 1363 1310 1.14      
35 A" 1346 1295 1.46      
36 A" 1298 1248 0.61      
37 A" 1218 1171 15.30      
38 A" 1134 1090 18.43      
39 A" 1120 1077 0.15      
40 A" 1070 1029 3.01      
41 A" 946 910 4.02      
42 A" 882 848 0.26      
43 A" 803 772 0.15      
44 A" 454 436 0.76      
45 A" 228 219 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 34786.8 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 33451.0 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 B3PW91/cc-pVTZ
ABC
0.15096 0.14768 0.08499

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.636 1.321 0.000
H2 0.572 2.412 0.000
H3 1.705 1.073 0.000
C4 -0.009 0.743 1.257
C5 -0.009 0.743 -1.257
C6 -0.009 -0.786 -1.210
C7 -0.009 -0.786 1.210
N8 -0.600 -1.344 0.000
H9 -1.598 -1.167 0.000
H10 0.512 1.092 2.154
H11 0.512 1.092 -2.154
H12 -1.043 1.099 1.335
H13 -1.043 1.099 -1.335
H14 1.025 -1.147 -1.269
H15 1.025 -1.147 1.269
H16 -0.533 -1.201 -2.074
H17 -0.533 -1.201 2.074

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09301.09641.52711.52712.51322.51322.93743.34362.16982.16982.15702.15702.80202.80203.46793.4679
H21.09301.75332.16902.16903.46753.46753.93424.18512.52692.52692.47292.47293.80533.80534.30954.3095
H31.09641.75332.15112.15112.80282.80283.33963.99052.46252.46253.05503.05502.64642.64643.80523.8052
C41.52712.16902.15112.51482.90211.52892.50672.78421.09423.46861.09642.81383.32002.15393.89222.1720
C51.52712.16902.15112.51481.52892.90212.50672.78423.46861.09422.81381.09642.15393.32002.17203.8922
C62.51323.46752.80282.90211.52892.41951.45742.03293.88742.16523.33122.15301.09672.71001.09263.3512
C72.51323.46752.80281.52892.90212.41951.45742.03292.16523.88742.15303.33122.71001.09673.35121.0926
N82.93743.93423.33962.50672.50671.45741.45741.01373.43643.43642.81902.81902.07062.07062.08012.0801
H93.34364.18513.99052.78422.78422.03292.03291.01373.76733.76732.68792.68792.91332.91332.33172.3317
H102.16982.52692.46251.09423.46863.88742.16523.43643.76734.30821.75723.82004.12252.46174.92192.5206
H112.16982.52692.46253.46861.09422.16523.88743.43643.76734.30823.82001.75722.46174.12252.52064.9219
H122.15702.47293.05501.09642.81383.33122.15302.81902.68791.75723.82002.67044.01273.05344.14382.4685
H132.15702.47293.05502.81381.09642.15303.33122.81902.68793.82001.75722.67043.05344.01272.46854.1438
H142.80203.80532.64643.32002.15391.09672.71002.07062.91334.12252.46174.01273.05342.53831.75403.6886
H152.80203.80532.64642.15393.32002.71001.09672.07062.91332.46174.12253.05344.01272.53833.68861.7540
H163.46794.30953.80523.89222.17201.09263.35122.08012.33174.92192.52064.14382.46851.75403.68864.1482
H173.46794.30953.80522.17203.89223.35121.09262.08012.33172.52064.92192.46854.14383.68861.75404.1482

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.652 C1 C4 H10 110.655
C1 C4 H12 109.519 C1 C5 C6 110.652
C1 C5 H11 110.655 C1 C5 H13 109.519
H2 C1 H3 106.417 H2 C1 C4 110.668
H2 C1 C5 110.668 H3 C1 C4 109.053
H3 C1 C5 109.053 C4 C1 C5 110.857
C4 C7 N8 114.136 C4 C7 H15 109.137
C4 C7 H17 110.800 C5 C6 N8 114.136
C5 C6 H14 109.137 C5 C6 H16 110.800
C6 C5 H11 110.165 C6 C5 H13 109.083
C6 N8 C7 112.211 C6 N8 H9 109.391
C7 C4 H10 110.165 C7 C4 H12 109.083
C7 N8 H9 109.391 N8 C6 H14 107.484
N8 C6 H16 108.471 N8 C7 H15 107.484
N8 C7 H17 108.471 H10 C4 H12 106.671
H11 C5 H13 106.671 H14 C6 H16 106.486
H15 C7 H17 106.486
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.163      
2 H 0.089      
3 H 0.084      
4 C -0.173      
5 C -0.173      
6 C -0.090      
7 C -0.090      
8 N -0.213      
9 H 0.088      
10 H 0.082      
11 H 0.082      
12 H 0.076      
13 H 0.076      
14 H 0.077      
15 H 0.077      
16 H 0.086      
17 H 0.086      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.278 1.051 0.000 1.088
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.936 -0.200 0.000
y -0.200 -43.217 0.000
z 0.000 0.000 -38.012
Traceless
 xyz
x 3.679 -0.200 0.000
y -0.200 -5.743 0.000
z 0.000 0.000 2.064
Polar
3z2-r24.129
x2-y26.281
xy-0.200
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.977 0.309 0.000
y 0.309 9.641 0.000
z 0.000 0.000 10.398


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