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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B2PLYP/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 B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-251.756810
Energy at 298.15K-251.771216
HF Energy-251.406780
Nuclear repulsion energy259.673579
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/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' 3542 3398 0.01      
2 A' 3096 2970 77.21      
3 A' 3086 2961 6.62      
4 A' 3081 2956 59.88      
5 A' 3047 2923 16.07      
6 A' 3029 2906 26.56      
7 A' 2928 2809 144.74      
8 A' 1520 1459 2.40      
9 A' 1505 1444 6.24      
10 A' 1497 1436 7.09      
11 A' 1431 1373 2.30      
12 A' 1391 1334 0.22      
13 A' 1323 1269 0.83      
14 A' 1298 1245 2.86      
15 A' 1179 1131 4.73      
16 A' 1074 1030 8.68      
17 A' 1058 1016 2.75      
18 A' 917 879 2.78      
19 A' 878 842 11.67      
20 A' 830 796 0.42      
21 A' 776 744 77.68      
22 A' 548 525 19.05      
23 A' 434 417 6.49      
24 A' 401 385 1.30      
25 A' 246 236 1.33      
26 A" 3091 2965 12.74      
27 A" 3085 2960 83.95      
28 A" 3048 2924 28.03      
29 A" 2924 2805 28.39      
30 A" 1509 1448 0.07      
31 A" 1494 1434 0.43      
32 A" 1486 1425 4.96      
33 A" 1388 1331 0.26      
34 A" 1373 1318 5.77      
35 A" 1356 1301 22.34      
36 A" 1305 1252 1.89      
37 A" 1191 1143 6.78      
38 A" 1177 1129 3.36      
39 A" 1144 1097 15.48      
40 A" 1074 1030 2.66      
41 A" 987 947 0.74      
42 A" 890 854 0.24      
43 A" 827 793 0.59      
44 A" 452 433 0.76      
45 A" 249 239 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 35080.0 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 33655.7 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/cc-pVTZ
ABC
0.15170 0.14892 0.08514

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.658 1.323 0.000
H2 0.625 2.413 0.000
H3 1.709 1.026 0.000
C4 -0.016 0.751 1.254
C5 -0.016 0.751 -1.254
C6 -0.016 -0.773 -1.209
C7 -0.016 -0.773 1.209
N8 -0.714 -1.232 0.000
H9 -0.740 -2.244 0.000
H10 0.481 1.095 2.163
H11 0.481 1.095 -2.163
H12 -1.051 1.092 1.288
H13 -1.051 1.092 -1.288
H14 1.025 -1.128 -1.240
H15 1.025 -1.128 1.240
H16 -0.534 -1.181 -2.076
H17 -0.534 -1.181 2.076

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09011.09181.53471.53472.51232.51232.90063.83132.18242.18242.15252.15252.77112.77113.46473.4647
H21.09011.76012.17852.17853.46753.46753.88324.85262.53722.53722.49262.49263.77263.77264.30944.3094
H31.09181.76012.15032.15032.77032.77033.31224.08532.48832.48833.04623.04622.57762.57763.77013.7701
C41.53472.17852.15032.50872.89701.52472.44823.32661.09153.47061.09012.76593.29142.14783.88522.1626
C51.53472.17852.15032.50871.52472.89702.44823.32663.47061.09152.76591.09012.14783.29142.16263.8852
C62.51233.46752.77032.89701.52472.41871.47002.03713.88722.15553.28402.13411.10002.68461.08933.3512
C72.51233.46752.77031.52472.89702.41871.47002.03712.15553.88722.13413.28402.68461.10003.35121.0893
N82.90063.88323.31222.44822.44821.47001.47001.01203.39463.39462.67792.67792.13832.13832.08482.0848
H93.83134.85264.08533.32663.32662.03712.03711.01204.16144.16143.58883.58882.42852.42852.34162.3416
H102.18242.53722.48831.09153.47063.88722.15553.39464.16144.32641.76453.77584.10072.46754.91772.4936
H112.18242.53722.48833.47061.09152.15553.88723.39464.16144.32643.77581.76452.46754.10072.49364.9177
H122.15252.49263.04621.09012.76593.28402.13412.67793.58881.76453.77582.57573.95263.03924.09262.4604
H132.15252.49263.04622.76591.09012.13413.28402.67793.58883.77581.76452.57573.03923.95262.46044.0926
H142.77113.77262.57763.29142.14781.10002.68462.13832.42854.10072.46753.95263.03922.47951.77013.6646
H152.77113.77262.57762.14783.29142.68461.10002.13832.42852.46754.10073.03923.95262.47953.66461.7701
H163.46474.30943.77013.88522.16261.08933.35122.08482.34164.91772.49364.09262.46041.77013.66464.1527
H173.46474.30943.77012.16263.88523.35121.08932.08482.34162.49364.91772.46044.09263.66461.77014.1527

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.402 C1 C4 H10 111.286
C1 C4 H12 109.007 C1 C5 C6 110.402
C1 C5 H11 111.286 C1 C5 H13 109.007
H2 C1 H3 107.540 H2 C1 C4 111.058
H2 C1 C5 111.058 H3 C1 C4 108.736
H3 C1 C5 108.736 C4 C1 C5 109.634
C4 C7 N8 109.656 C4 C7 H15 108.752
C4 C7 H17 110.538 C5 C6 N8 109.656
C5 C6 H14 108.752 C5 C6 H16 110.538
C6 C5 H11 109.845 C6 C5 H13 108.253
C6 N8 C7 110.714 C6 N8 H9 108.925
C7 C4 H10 109.845 C7 C4 H12 108.253
C7 N8 H9 108.925 N8 C6 H14 111.808
N8 C6 H16 108.173 N8 C7 H15 111.808
N8 C7 H17 108.173 H10 C4 H12 107.961
H11 C5 H13 107.961 H14 C6 H16 107.904
H15 C7 H17 107.904
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.185      
2 H 0.101      
3 H 0.084      
4 C -0.172      
5 C -0.172      
6 C -0.093      
7 C -0.093      
8 N -0.252      
9 H 0.112      
10 H 0.096      
11 H 0.096      
12 H 0.086      
13 H 0.086      
14 H 0.060      
15 H 0.060      
16 H 0.093      
17 H 0.093      


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 8.831 0.299 0.000
y 0.299 9.884 0.000
z 0.000 0.000 10.319


<r2> (average value of r2) Å2
<r2> 157.674
(<r2>)1/2 12.557

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-251.755540
Energy at 298.15K-251.769881
HF Energy-251.405422
Nuclear repulsion energy259.183761
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/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' 3510 3368 0.58      
2 A' 3091 2965 62.77      
3 A' 3082 2957 48.95      
4 A' 3075 2950 51.01      
5 A' 3032 2909 72.20      
6 A' 3029 2906 12.73      
7 A' 3025 2902 9.15      
8 A' 1514 1452 2.67      
9 A' 1498 1438 9.68      
10 A' 1496 1436 2.50      
11 A' 1406 1349 2.99      
12 A' 1387 1331 1.99      
13 A' 1347 1293 0.11      
14 A' 1291 1238 7.24      
15 A' 1200 1152 2.72      
16 A' 1056 1013 1.40      
17 A' 1024 983 7.54      
18 A' 925 888 10.24      
19 A' 868 833 28.93      
20 A' 824 791 2.39      
21 A' 766 735 98.12      
22 A' 552 530 2.22      
23 A' 437 420 1.02      
24 A' 385 369 5.43      
25 A' 237 227 4.57      
26 A" 3089 2964 38.57      
27 A" 3073 2949 73.01      
28 A" 3029 2906 0.34      
29 A" 3023 2900 42.20      
30 A" 1504 1443 5.68      
31 A" 1495 1434 2.31      
32 A" 1481 1421 5.91      
33 A" 1389 1333 1.19      
34 A" 1376 1321 1.10      
35 A" 1362 1306 1.32      
36 A" 1310 1257 0.64      
37 A" 1222 1172 12.31      
38 A" 1132 1086 15.00      
39 A" 1128 1083 5.60      
40 A" 1073 1030 3.88      
41 A" 956 917 3.76      
42 A" 882 846 0.04      
43 A" 813 780 0.27      
44 A" 457 438 0.77      
45 A" 235 225 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 35042.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 33619.8 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/cc-pVTZ
ABC
0.15057 0.14735 0.08482

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.644 1.318 0.000
H2 0.586 2.407 0.000
H3 1.708 1.060 0.000
C4 -0.009 0.744 1.257
C5 -0.009 0.744 -1.257
C6 -0.009 -0.786 -1.212
C7 -0.009 -0.786 1.212
N8 -0.608 -1.346 0.000
H9 -1.601 -1.141 0.000
H10 0.509 1.092 2.153
H11 0.509 1.092 -2.153
H12 -1.041 1.099 1.328
H13 -1.041 1.099 -1.328
H14 1.022 -1.146 -1.264
H15 1.022 -1.146 1.264
H16 -0.532 -1.198 -2.075
H17 -0.532 -1.198 2.075

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09061.09411.52901.52902.51412.51412.94363.33012.16942.16942.15702.15702.79532.79533.46653.4665
H21.09061.75262.16822.16823.46633.46633.93824.16812.52422.52422.47402.47403.79663.79664.30664.3066
H31.09411.75262.15152.15152.79712.79713.33943.97432.46472.46473.05323.05322.63392.63393.79743.7974
C41.52902.16822.15152.51502.90471.53022.51152.76941.09193.46741.09412.80633.31602.15323.89202.1704
C51.52902.16822.15152.51501.53022.90472.51152.76943.46741.09192.80631.09412.15323.31602.17043.8920
C62.51413.46632.79712.90471.53022.42391.46332.03223.88832.16343.32702.15241.09382.70661.09003.3537
C72.51413.46632.79711.53022.90472.42391.46332.03222.16343.88832.15243.32702.70661.09383.35371.0900
N82.94363.93823.33942.51152.51151.46331.46331.01433.43923.43922.81632.81632.07242.07242.08172.0817
H93.33014.16813.97432.76942.76942.03222.03221.01433.75193.75192.66402.66402.91212.91212.33492.3349
H102.16942.52422.46471.09193.46743.88832.16343.43923.75194.30661.75663.81064.11752.46254.91982.5162
H112.16942.52422.46473.46741.09192.16343.88833.43923.75194.30663.81061.75662.46254.11752.51624.9198
H122.15702.47403.05321.09412.80633.32702.15242.81632.66401.75663.81062.65534.00263.05064.13682.4685
H132.15702.47403.05322.80631.09412.15243.32702.81632.66403.81061.75662.65533.05064.00262.46854.1368
H142.79533.79662.63393.31602.15321.09382.70662.07242.91214.11752.46254.00263.05062.52861.75383.6837
H152.79533.79662.63392.15323.31602.70661.09382.07242.91212.46254.11753.05064.00262.52863.68371.7538
H163.46654.30663.79743.89202.17041.09003.35372.08172.33494.91982.51624.13682.46851.75383.68374.1501
H173.46654.30663.79742.17043.89203.35371.09002.08172.33492.51624.91982.46854.13683.68371.75384.1501

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.536 C1 C4 H10 110.624
C1 C4 H12 109.513 C1 C5 C6 110.536
C1 C5 H11 110.624 C1 C5 H13 109.513
H2 C1 H3 106.687 H2 C1 C4 110.610
H2 C1 C5 110.610 H3 C1 C4 109.088
H3 C1 C5 109.088 C4 C1 C5 110.654
C4 C7 N8 114.045 C4 C7 H15 109.158
C4 C7 H17 110.736 C5 C6 N8 114.045
C5 C6 H14 109.158 C5 C6 H16 110.736
C6 C5 H11 110.067 C6 C5 H13 109.075
C6 N8 C7 111.837 C6 N8 H9 108.863
C7 C4 H10 110.067 C7 C4 H12 109.075
C7 N8 H9 108.863 N8 C6 H14 107.400
N8 C6 H16 108.352 N8 C7 H15 107.400
N8 C7 H17 108.352 H10 C4 H12 106.944
H11 C5 H13 106.944 H14 C6 H16 106.855
H15 C7 H17 106.855
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.182      
2 H 0.103      
3 H 0.088      
4 C -0.189      
5 C -0.189      
6 C -0.103      
7 C -0.103      
8 N -0.239      
9 H 0.092      
10 H 0.096      
11 H 0.096      
12 H 0.081      
13 H 0.081      
14 H 0.083      
15 H 0.083      
16 H 0.101      
17 H 0.101      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.238 1.138 0.000 1.163
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.335 -0.338 0.000
y -0.338 -43.859 0.000
z 0.000 0.000 -38.394
Traceless
 xyz
x 3.792 -0.338 0.000
y -0.338 -5.994 0.000
z 0.000 0.000 2.203
Polar
3z2-r24.406
x2-y26.524
xy-0.338
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.927 0.304 0.000
y 0.304 9.564 0.000
z 0.000 0.000 10.329


<r2> (average value of r2) Å2
<r2> 158.164
(<r2>)1/2 12.576