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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B2PLYP/6-31G*

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 B2PLYP/6-31G*
 hartrees
Energy at 0K-251.585435
Energy at 298.15K 
HF Energy-251.317175
Nuclear repulsion energy259.029303
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 B2PLYP/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3519 3340 1.40      
2 A' 3127 2968 80.28      
3 A' 3112 2954 9.88      
4 A' 3108 2950 58.43      
5 A' 3076 2919 12.59      
6 A' 3055 2900 28.93      
7 A' 2956 2805 139.21      
8 A' 1558 1479 1.79      
9 A' 1542 1464 5.05      
10 A' 1533 1455 5.98      
11 A' 1462 1388 5.43      
12 A' 1417 1345 0.31      
13 A' 1341 1273 0.29      
14 A' 1317 1250 3.69      
15 A' 1198 1137 6.09      
16 A' 1088 1033 11.08      
17 A' 1071 1017 2.10      
18 A' 931 884 4.25      
19 A' 893 848 14.14      
20 A' 841 798 1.09      
21 A' 800 759 81.64      
22 A' 555 527 19.11      
23 A' 438 416 7.53      
24 A' 407 387 1.33      
25 A' 251 238 1.51      
26 A" 3121 2963 11.65      
27 A" 3111 2953 85.59      
28 A" 3076 2919 30.14      
29 A" 2950 2800 25.21      
30 A" 1546 1468 0.53      
31 A" 1526 1448 0.91      
32 A" 1512 1436 2.25      
33 A" 1418 1346 0.52      
34 A" 1396 1325 18.67      
35 A" 1378 1308 17.46      
36 A" 1322 1255 2.48      
37 A" 1207 1146 5.56      
38 A" 1193 1132 4.86      
39 A" 1163 1104 14.14      
40 A" 1086 1031 2.28      
41 A" 1003 952 0.82      
42 A" 900 854 0.08      
43 A" 838 796 0.45      
44 A" 455 432 0.91      
45 A" 253 240 0.48      

Unscaled Zero Point Vibrational Energy (zpe) 35524.3 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 33719.7 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 B2PLYP/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.638 1.328 0.000
H2 0.573 2.421 0.000
H3 1.707 1.076 0.000
C4 -0.013 0.749 1.261
C5 -0.013 0.749 -1.261
C6 -0.013 -0.779 -1.211
C7 -0.013 -0.779 1.211
N8 -0.704 -1.225 0.000
H9 -0.767 -2.240 0.000
H10 0.512 1.092 2.159
H11 0.512 1.092 -2.159
H12 -1.051 1.094 1.333
H13 -1.051 1.094 -1.333
H14 1.033 -1.138 -1.257
H15 1.033 -1.138 1.257
H16 -0.537 -1.190 -2.080
H17 -0.537 -1.190 2.080

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09551.09851.53311.53312.51592.51592.88423.83462.17592.17592.16422.16422.79592.79593.47073.4707
H21.09551.75992.17532.17533.47173.47173.86364.85032.53642.53642.48502.48503.80293.80294.31274.3127
H31.09851.75992.15842.15842.80492.80493.33304.13722.46832.46833.06343.06342.63372.63373.80753.8075
C41.53312.17532.15842.52262.90651.52872.44223.33071.09573.47791.09582.81523.31632.15773.89832.1687
C51.53312.17532.15842.52261.52872.90652.44223.33073.47791.09572.81521.09582.15773.31632.16873.8983
C62.51593.47172.80492.90651.52872.42231.46402.04203.89092.16263.32522.14481.10712.70481.09453.3577
C72.51593.47172.80491.52872.90652.42231.46402.04202.16263.89092.14483.32522.70481.10713.35771.0945
N82.88423.86363.33302.44222.44221.46401.46401.01733.39303.39302.69722.69722.14602.14602.08682.0868
H93.83464.85034.13723.33073.33072.04202.04201.01734.17194.17193.60233.60232.45622.45622.34132.3413
H102.17592.53642.46831.09573.47793.89092.16263.39304.17194.31901.76793.82604.11332.46194.92762.5131
H112.17592.53642.46833.47791.09572.16263.89093.39304.17194.31903.82601.76792.46194.11332.51314.9276
H122.16422.48503.06341.09582.81523.32522.14482.69723.60231.76793.82602.66574.00413.05474.13852.4574
H132.16422.48503.06342.81521.09582.14483.32522.69723.60233.82601.76792.66573.05474.00412.45744.1385
H142.79593.80292.63373.31632.15771.10712.70482.14602.45624.11332.46194.00413.05472.51411.77353.6882
H152.79593.80292.63372.15773.31632.70481.10712.14602.45622.46194.11333.05474.00412.51413.68821.7735
H163.47074.31273.80753.89832.16871.09453.35772.08682.34134.92762.51314.13852.45741.77353.68824.1596
H173.47074.31273.80752.16873.89833.35771.09452.08682.34132.51314.92762.45744.13853.68821.77354.1596

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.511 C1 C4 H10 110.629
C1 C4 H12 109.697 C1 C5 C6 110.511
C1 C5 H11 110.629 C1 C5 H13 109.697
H2 C1 H3 106.666 H2 C1 C4 110.593
H2 C1 C5 110.593 H3 C1 C4 109.084
H3 C1 C5 109.084 C4 C1 C5 110.715
C4 C7 N8 109.365 C4 C7 H15 108.843
C4 C7 H17 110.438 C5 C6 N8 109.365
C5 C6 H14 108.843 C5 C6 H16 110.438
C6 C5 H11 109.886 C6 C5 H13 108.489
C6 N8 C7 111.647 C6 N8 H9 109.448
C7 C4 H10 109.886 C7 C4 H12 108.489
C7 N8 H9 109.448 N8 C6 H14 112.423
N8 C6 H16 108.435 N8 C7 H15 112.423
N8 C7 H17 108.435 H10 C4 H12 107.556
H11 C5 H13 107.556 H14 C6 H16 107.321
H15 C7 H17 107.321
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.291      
2 H 0.146      
3 H 0.137      
4 C -0.275      
5 C -0.275      
6 C -0.131      
7 C -0.131      
8 N -0.609      
9 H 0.311      
10 H 0.141      
11 H 0.141      
12 H 0.153      
13 H 0.153      
14 H 0.117      
15 H 0.117      
16 H 0.148      
17 H 0.148      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.707 0.312 0.000
y 0.312 8.638 0.000
z 0.000 0.000 9.080


<r2> (average value of r2) Å2
<r2> 157.992
(<r2>)1/2 12.569

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B2PLYP/6-31G*
 hartrees
Energy at 0K-251.584772
Energy at 298.15K-251.599140
HF Energy-251.316305
Nuclear repulsion energy258.483609
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 B2PLYP/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3489 3312 2.11      
2 A' 3121 2963 70.89      
3 A' 3110 2952 51.27      
4 A' 3102 2945 44.41      
5 A' 3064 2908 49.68      
6 A' 3057 2902 21.68      
7 A' 3053 2898 22.21      
8 A' 1551 1472 1.87      
9 A' 1535 1457 9.90      
10 A' 1532 1454 1.15      
11 A' 1431 1358 6.78      
12 A' 1416 1344 0.52      
13 A' 1369 1299 0.37      
14 A' 1310 1243 9.88      
15 A' 1222 1160 3.89      
16 A' 1070 1016 0.93      
17 A' 1035 982 8.05      
18 A' 944 896 22.84      
19 A' 881 836 33.46      
20 A' 835 792 4.25      
21 A' 796 756 92.16      
22 A' 561 532 2.12      
23 A' 441 419 1.01      
24 A' 396 376 5.69      
25 A' 245 233 4.76      
26 A" 3119 2961 34.34      
27 A" 3101 2944 71.21      
28 A" 3060 2905 11.51      
29 A" 3051 2896 32.79      
30 A" 1534 1456 2.91      
31 A" 1530 1453 3.50      
32 A" 1512 1435 6.93      
33 A" 1416 1344 1.69      
34 A" 1404 1333 2.80      
35 A" 1380 1310 0.86      
36 A" 1328 1260 0.87      
37 A" 1240 1177 11.99      
38 A" 1148 1090 20.36      
39 A" 1142 1084 0.20      
40 A" 1085 1030 3.31      
41 A" 970 921 4.78      
42 A" 892 847 0.00      
43 A" 824 782 0.13      
44 A" 459 436 0.88      
45 A" 240 228 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 35500.8 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 33697.4 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 B2PLYP/6-31G*
ABC
0.14997 0.14643 0.08442

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.642 1.326 0.000
H2 0.575 2.419 0.000
H3 1.711 1.075 0.000
C4 -0.009 0.746 1.263
C5 -0.009 0.746 -1.263
C6 -0.009 -0.790 -1.215
C7 -0.009 -0.790 1.215
N8 -0.603 -1.350 0.000
H9 -1.604 -1.166 0.000
H10 0.511 1.099 2.162
H11 0.511 1.099 -2.162
H12 -1.046 1.102 1.335
H13 -1.046 1.102 -1.335
H14 1.026 -1.151 -1.271
H15 1.026 -1.151 1.271
H16 -0.537 -1.205 -2.080
H17 -0.537 -1.205 2.080

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09551.09821.53481.53482.52482.52482.95123.35472.17822.17822.16392.16392.81072.81073.48123.4812
H21.09551.75972.17622.17623.48053.48053.94904.19572.53442.53442.47932.47933.81693.81694.32404.3240
H31.09821.75972.15962.15962.81312.81313.35234.00192.47332.47333.06363.06362.65412.65413.81813.8181
C41.53482.17622.15962.52652.91541.53692.51852.79231.09693.48281.09832.82043.33132.16173.90652.1801
C51.53482.17622.15962.52651.53692.91542.51852.79233.48281.09692.82041.09832.16173.33132.18013.9065
C62.52483.48052.81312.91541.53692.42911.46352.03983.90402.17623.33992.16041.09802.71711.09503.3618
C72.52483.48052.81311.53692.91542.42911.46352.03982.17623.90402.16043.33992.71711.09803.36181.0950
N82.95123.94903.35232.51852.51851.46351.46351.01783.45163.45162.82672.82672.07612.07612.08572.0857
H93.35474.19574.00192.79232.79232.03982.03981.01783.77873.77872.69042.69042.92142.92142.33792.3379
H102.17822.53442.47331.09693.48283.90402.17623.45163.77874.32471.76283.82864.13762.47434.93962.5323
H112.17822.53442.47333.48281.09692.17623.90403.45163.77874.32473.82861.76282.47434.13762.53234.9396
H122.16392.47933.06361.09832.82043.33992.16042.82672.69041.76283.82862.67094.02063.06164.15262.4769
H132.16392.47933.06362.82041.09832.16043.33992.82672.69043.82861.76282.67093.06164.02062.47694.1526
H142.81073.81692.65413.33132.16171.09802.71712.07612.92144.13762.47434.02063.06162.54291.76003.6978
H152.81073.81692.65412.16173.33132.71711.09802.07612.92142.47434.13763.06164.02062.54293.69781.7600
H163.48124.32403.81813.90652.18011.09503.36182.08572.33794.93962.53234.15262.47691.76003.69784.1592
H173.48124.32403.81812.18013.90653.36181.09502.08572.33792.53234.93962.47694.15263.69781.76004.1592

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.562 C1 C4 H10 110.623
C1 C4 H12 109.412 C1 C5 C6 110.562
C1 C5 H11 110.623 C1 C5 H13 109.412
H2 C1 H3 106.668 H2 C1 C4 110.549
H2 C1 C5 110.549 H3 C1 C4 109.085
H3 C1 C5 109.085 C4 C1 C5 110.795
C4 C7 N8 114.134 C4 C7 H15 109.116
C4 C7 H17 110.740 C5 C6 N8 114.134
C5 C6 H14 109.116 C5 C6 H16 110.740
C6 C5 H11 110.313 C6 C5 H13 108.998
C6 N8 C7 112.181 C6 N8 H9 109.270
C7 C4 H10 110.313 C7 C4 H12 108.998
C7 N8 H9 109.270 N8 C6 H14 107.435
N8 C6 H16 108.358 N8 C7 H15 107.435
N8 C7 H17 108.358 H10 C4 H12 106.842
H11 C5 H13 106.842 H14 C6 H16 106.752
H15 C7 H17 106.752
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.283      
2 H 0.147      
3 H 0.140      
4 C -0.288      
5 C -0.288      
6 C -0.145      
7 C -0.145      
8 N -0.589      
9 H 0.301      
10 H 0.143      
11 H 0.143      
12 H 0.134      
13 H 0.134      
14 H 0.148      
15 H 0.148      
16 H 0.151      
17 H 0.151      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.008 0.245 0.000
y 0.245 8.170 0.000
z 0.000 0.000 9.095


<r2> (average value of r2) Å2
<r2> 158.627
(<r2>)1/2 12.595