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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B3LYP/CEP-121G

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 B3LYP/CEP-121G
 hartrees
Energy at 0K-44.713215
Energy at 298.15K-44.727468
Nuclear repulsion energy143.426796
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 B3LYP/CEP-121G
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' 3499 3410 5.40      
2 A' 3052 2974 150.53      
3 A' 3039 2961 8.09      
4 A' 3026 2948 88.37      
5 A' 2988 2912 18.81      
6 A' 2966 2890 41.89      
7 A' 2856 2783 213.69      
8 A' 1525 1486 2.62      
9 A' 1512 1473 7.19      
10 A' 1506 1468 8.40      
11 A' 1415 1379 3.52      
12 A' 1380 1345 0.09      
13 A' 1307 1274 0.49      
14 A' 1285 1253 2.72      
15 A' 1166 1137 3.10      
16 A' 1059 1032 1.03      
17 A' 1048 1021 8.43      
18 A' 894 871 5.41      
19 A' 864 842 4.69      
20 A' 806 786 0.59      
21 A' 673 656 98.49      
22 A' 530 516 51.48      
23 A' 424 413 18.10      
24 A' 373 364 3.40      
25 A' 233 227 1.66      
26 A" 3043 2965 1.66      
27 A" 3035 2958 135.56      
28 A" 2987 2911 57.96      
29 A" 2847 2774 46.57      
30 A" 1511 1473 0.00      
31 A" 1499 1460 1.47      
32 A" 1484 1446 4.02      
33 A" 1375 1340 1.68      
34 A" 1370 1335 1.75      
35 A" 1352 1317 34.22      
36 A" 1290 1257 2.21      
37 A" 1192 1162 8.32      
38 A" 1173 1143 9.09      
39 A" 1135 1106 15.48      
40 A" 1075 1047 3.39      
41 A" 982 957 0.91      
42 A" 875 852 0.53      
43 A" 824 803 0.77      
44 A" 445 433 1.11      
45 A" 235 229 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 34576.4 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 33694.7 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 B3LYP/CEP-121G
ABC
0.14590 0.14471 0.08202

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.640 1.346 0.000
H2 0.571 2.444 0.000
H3 1.714 1.095 0.000
C4 -0.022 0.764 1.281
C5 -0.022 0.764 -1.281
C6 -0.022 -0.786 -1.244
C7 -0.022 -0.786 1.244
N8 -0.683 -1.254 0.000
H9 -0.872 -2.256 0.000
H10 0.507 1.114 2.180
H11 0.507 1.114 -2.180
H12 -1.063 1.112 1.351
H13 -1.063 1.112 -1.351
H14 1.028 -1.147 -1.321
H15 1.028 -1.147 1.321
H16 -0.573 -1.188 -2.106
H17 -0.573 -1.188 2.106

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09991.10331.55531.55532.55572.55572.91703.90592.19682.19682.18602.18602.84772.84773.51043.5104
H21.09991.76762.19472.19473.51173.51173.90464.91602.55502.55502.50392.50393.85293.85294.35094.3509
H31.10331.76762.18312.18312.84632.84633.35624.23252.49222.49223.08823.08822.69082.69083.85673.8567
C41.55532.19472.18312.56272.96331.55022.47993.38831.10043.51951.09972.85193.39512.18053.94762.1888
C51.55532.19472.18312.56271.55022.96332.47993.38833.51951.10042.85191.09972.18053.39512.18883.9476
C62.55573.51172.84632.96331.55022.48861.48462.10483.95192.18293.37942.16721.11352.79581.09833.4186
C72.55573.51172.84631.55022.96332.48861.48462.10482.18293.95192.16723.37942.79581.11353.41861.0983
N82.91703.90463.35622.47992.47991.48461.48461.01943.43163.43162.75082.75082.16492.16492.10962.1096
H93.90594.91604.23253.38833.38832.10482.10481.01944.24354.24353.63353.63352.56662.56662.37992.3799
H102.19682.55502.49221.10043.51953.95192.18293.43164.24354.36091.77593.86474.20022.47344.98322.5431
H112.19682.55502.49223.51951.10042.18293.95193.43164.24354.36093.86471.77592.47344.20022.54314.9832
H122.18602.50393.08821.09972.85193.37942.16722.75083.63351.77593.86472.70184.07623.07834.18052.4696
H132.18602.50393.08822.85191.09972.16723.37942.75083.63353.86471.77592.70183.07834.07622.46964.1805
H142.84773.85292.69083.39512.18051.11352.79582.16492.56664.20022.47344.07623.07832.64271.78343.7828
H152.84773.85292.69082.18053.39512.79581.11352.16492.56662.47344.20023.07834.07622.64273.78281.7834
H163.51044.35093.85673.94762.18881.09833.41862.10962.37994.98322.54314.18052.46961.78343.78284.2113
H173.51044.35093.85672.18883.94763.41861.09832.10962.37992.54314.98322.46964.18053.78281.78344.2113

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.766 C1 C4 H10 110.454
C1 C4 H12 109.651 C1 C5 C6 110.766
C1 C5 H11 110.454 C1 C5 H13 109.651
H2 C1 H3 106.702 H2 C1 C4 110.316
H2 C1 C5 110.316 H3 C1 C4 109.225
H3 C1 C5 109.225 C4 C1 C5 110.952
C4 C7 N8 109.581 C4 C7 H15 108.782
C4 C7 H17 110.300 C5 C6 N8 109.581
C5 C6 H14 108.782 C5 C6 H16 110.300
C6 C5 H11 109.713 C6 C5 H13 108.543
C6 N8 C7 113.894 C6 N8 H9 113.088
C7 C4 H10 109.713 C7 C4 H12 108.543
C7 N8 H9 113.088 N8 C6 H14 112.084
N8 C6 H16 108.601 N8 C7 H15 112.084
N8 C7 H17 108.601 H10 C4 H12 107.638
H11 C5 H13 107.638 H14 C6 H16 107.471
H15 C7 H17 107.471
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.254      
2 H 0.137      
3 H 0.115      
4 C -0.209      
5 C -0.209      
6 C -0.244      
7 C -0.244      
8 N -0.313      
9 H 0.255      
10 H 0.122      
11 H 0.122      
12 H 0.126      
13 H 0.126      
14 H 0.099      
15 H 0.099      
16 H 0.137      
17 H 0.137      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.687 -0.593 0.000 0.907
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.958 0.225 0.000
y 0.225 -36.640 0.000
z 0.000 0.000 -38.410
Traceless
 xyz
x -4.433 0.225 0.000
y 0.225 3.543 0.000
z 0.000 0.000 0.890
Polar
3z2-r21.779
x2-y2-5.318
xy0.225
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.883 0.300 0.000
y 0.300 9.657 0.000
z 0.000 0.000 10.264


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-44.711768
Energy at 298.15K-44.725965
Nuclear repulsion energy143.238124
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 B3LYP/CEP-121G
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' 3481 3393 5.89      
2 A' 3050 2973 106.13      
3 A' 3031 2953 98.86      
4 A' 3021 2944 76.77      
5 A' 2977 2901 50.82      
6 A' 2967 2891 38.41      
7 A' 2963 2888 41.23      
8 A' 1521 1482 4.53      
9 A' 1508 1470 9.49      
10 A' 1503 1465 4.66      
11 A' 1394 1359 3.44      
12 A' 1374 1339 0.81      
13 A' 1337 1303 0.08      
14 A' 1274 1242 6.63      
15 A' 1187 1157 1.65      
16 A' 1044 1018 3.03      
17 A' 1011 985 6.09      
18 A' 894 871 2.51      
19 A' 855 833 18.06      
20 A' 801 781 4.18      
21 A' 626 610 181.86      
22 A' 550 536 12.39      
23 A' 429 418 3.67      
24 A' 368 358 12.09      
25 A' 228 222 8.48      
26 A" 3047 2969 49.72      
27 A" 3019 2942 107.15      
28 A" 2971 2896 23.64      
29 A" 2963 2888 54.17      
30 A" 1505 1467 0.06      
31 A" 1500 1462 7.65      
32 A" 1480 1442 9.79      
33 A" 1380 1345 3.82      
34 A" 1364 1330 0.87      
35 A" 1363 1328 2.18      
36 A" 1297 1264 0.61      
37 A" 1213 1182 18.42      
38 A" 1130 1102 3.42      
39 A" 1120 1091 16.68      
40 A" 1074 1046 4.83      
41 A" 955 931 4.76      
42 A" 864 842 0.35      
43 A" 810 790 0.16      
44 A" 449 438 0.85      
45 A" 224 218 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 34561.9 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 33680.5 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 B3LYP/CEP-121G
ABC
0.14475 0.14313 0.08171

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.651 1.339 0.000
H2 0.593 2.437 0.000
H3 1.724 1.080 0.000
C4 -0.011 0.760 1.284
C5 -0.011 0.760 -1.284
C6 -0.011 -0.798 -1.245
C7 -0.011 -0.798 1.245
N8 -0.600 -1.359 0.000
H9 -1.621 -1.322 0.000
H10 0.517 1.115 2.183
H11 0.517 1.115 -2.183
H12 -1.051 1.121 1.357
H13 -1.051 1.121 -1.357
H14 1.027 -1.160 -1.317
H15 1.027 -1.160 1.317
H16 -0.556 -1.211 -2.105
H17 -0.556 -1.211 2.105

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09991.10341.55631.55632.56042.56042.97463.49902.19812.19812.18762.18762.84992.84993.51983.5198
H21.09991.76672.19672.19673.51873.51873.97984.36262.55282.55282.50482.50483.85563.85564.36554.3655
H31.10341.76672.18222.18222.84412.84413.36964.11792.49452.49453.08913.08912.69082.69083.85723.8572
C41.55632.19672.18222.56742.97031.55852.54712.92801.10143.52421.10292.86043.39552.18353.95752.2035
C51.55632.19672.18222.56741.55852.97032.54712.92803.52421.10142.86041.10292.18353.39552.20353.9575
C62.56043.51872.84412.97031.55852.49041.48752.10113.96092.19493.39602.18541.10202.78821.09833.4189
C72.56043.51872.84411.55852.97032.49041.48752.10112.19493.96092.18543.39602.78821.10203.41891.0983
N82.97463.97983.36962.54712.54711.48751.48751.02103.48373.48372.86322.86322.10272.10272.11042.1104
H93.49904.36264.11792.92802.92802.10112.10111.02103.90803.90802.85222.85222.96122.96122.36102.3610
H102.19812.55282.49451.10143.52423.96092.19493.48373.90804.36511.77203.87084.20542.48764.99422.5628
H112.19812.55282.49453.52421.10142.19493.96093.48373.90804.36513.87081.77202.48764.20542.56284.9942
H122.18762.50483.08911.10292.86043.39602.18542.86322.85221.77203.87082.71314.08303.08624.20272.4985
H132.18762.50483.08912.86041.10292.18543.39602.86322.85223.87081.77202.71313.08624.08302.49854.2027
H142.84993.85562.69083.39552.18351.10202.78822.10272.96124.20542.48764.08303.08622.63391.76903.7705
H152.84993.85562.69082.18353.39552.78821.10202.10272.96122.48764.20543.08624.08302.63393.77051.7690
H163.51984.36553.85723.95752.20351.09833.41892.11042.36104.99422.56284.20272.49851.76903.77054.2093
H173.51984.36553.85722.20353.95753.41891.09832.11042.36102.56284.99422.49854.20273.77051.76904.2093

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.571 C1 C4 H10 110.427
C1 C4 H12 109.522 C1 C5 C6 110.571
C1 C5 H11 110.427 C1 C5 H13 109.522
H2 C1 H3 106.615 H2 C1 C4 110.405
H2 C1 C5 110.405 H3 C1 C4 109.076
H3 C1 C5 109.076 C4 C1 C5 111.139
C4 C7 N8 113.464 C4 C7 H15 109.105
C4 C7 H17 110.886 C5 C6 N8 113.464
C5 C6 H14 109.105 C5 C6 H16 110.886
C6 C5 H11 110.029 C6 C5 H13 109.206
C6 N8 C7 113.669 C6 N8 H9 112.442
C7 C4 H10 110.029 C7 C4 H12 109.206
C7 N8 H9 112.442 N8 C6 H14 107.650
N8 C6 H16 108.462 N8 C7 H15 107.650
N8 C7 H17 108.462 H10 C4 H12 107.007
H11 C5 H13 107.007 H14 C6 H16 107.028
H15 C7 H17 107.028
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.240      
2 H 0.137      
3 H 0.121      
4 C -0.230      
5 C -0.230      
6 C -0.280      
7 C -0.280      
8 N -0.266      
9 H 0.242      
10 H 0.125      
11 H 0.125      
12 H 0.110      
13 H 0.110      
14 H 0.134      
15 H 0.134      
16 H 0.143      
17 H 0.143      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.433 1.196 0.000 1.272
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.194 0.292 0.000
y 0.292 -44.527 0.000
z 0.000 0.000 -38.306
Traceless
 xyz
x 4.223 0.292 0.000
y 0.292 -6.777 0.000
z 0.000 0.000 2.554
Polar
3z2-r25.109
x2-y27.333
xy0.292
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.033 0.291 0.000
y 0.291 9.266 0.000
z 0.000 0.000 10.252


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