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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: G4

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 G4
 hartrees
Energy at 0K-251.702220
Energy at 298.15K-251.695608
HF Energy-251.925637
Nuclear repulsion energy258.694803
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/6-31G(2df,p)
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' 3527 3403 0.52      
2 A' 3078 2970 74.93      
3 A' 3063 2956 23.98      
4 A' 3058 2951 48.48      
5 A' 3028 2922 15.02      
6 A' 3011 2905 26.47      
7 A' 2897 2796 137.28      
8 A' 1508 1455 1.95      
9 A' 1492 1440 4.70      
10 A' 1484 1432 5.30      
11 A' 1427 1377 5.41      
12 A' 1382 1333 0.31      
13 A' 1314 1268 0.79      
14 A' 1288 1243 3.86      
15 A' 1170 1129 5.08      
16 A' 1065 1028 7.81      
17 A' 1051 1015 1.76      
18 A' 913 881 1.91      
19 A' 870 840 10.74      
20 A' 824 795 0.26      
21 A' 765 738 77.00      
22 A' 541 522 19.10      
23 A' 433 418 6.59      
24 A' 393 379 1.32      
25 A' 243 235 1.00      
26 A" 3073 2965 22.32      
27 A" 3058 2951 85.02      
28 A" 3029 2923 20.51      
29 A" 2890 2789 28.00      
30 A" 1496 1444 0.78      
31 A" 1487 1435 0.27      
32 A" 1473 1422 1.68      
33 A" 1379 1330 1.05      
34 A" 1364 1316 13.97      
35 A" 1346 1299 19.77      
36 A" 1293 1248 2.20      
37 A" 1186 1145 7.75      
38 A" 1167 1126 2.62      
39 A" 1134 1095 16.00      
40 A" 1064 1027 1.72      
41 A" 980 946 0.60      
42 A" 881 851 0.10      
43 A" 820 791 0.53      
44 A" 450 434 0.79      
45 A" 243 234 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 34818.0 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 33599.4 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 B3LYP/6-31G(2df,p)
ABC
0.15063 0.14775 0.08447

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.636 1.331 0.000
H2 0.571 2.425 0.000
H3 1.706 1.082 0.000
C4 -0.015 0.751 1.264
C5 -0.015 0.751 -1.264
C6 -0.015 -0.781 -1.214
C7 -0.015 -0.781 1.214
N8 -0.694 -1.232 0.000
H9 -0.766 -2.243 0.000
H10 0.510 1.094 2.162
H11 0.510 1.094 -2.162
H12 -1.053 1.099 1.337
H13 -1.053 1.099 -1.337
H14 1.033 -1.137 -1.270
H15 1.033 -1.137 1.270
H16 -0.542 -1.192 -2.081
H17 -0.542 -1.192 2.081

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09571.09921.53581.53582.52152.52152.88763.83972.17882.17882.16652.16652.80472.80473.47683.4768
H21.09571.75922.17822.17823.47763.47763.86954.85592.54002.54002.48672.48673.81043.81044.31914.3191
H31.09921.75922.16122.16122.81152.81153.33344.14332.47102.47103.06613.06612.64382.64383.81543.8154
C41.53582.17822.16122.52772.91251.53232.44713.33531.09583.48301.09682.82163.32962.15983.90422.1726
C51.53582.17822.16122.52771.53232.91252.44713.33533.48301.09582.82161.09682.15983.32962.17263.9042
C62.52153.47762.81152.91251.53232.42711.46172.04333.89682.16543.33372.15031.10902.71961.09553.3622
C72.52153.47762.81151.53232.91252.42711.46172.04332.16543.89682.15033.33372.71961.10903.36221.0955
N82.88763.86953.33342.44712.44711.46171.46171.01383.39593.39592.71072.71072.14592.14592.08742.0874
H93.83974.85594.14333.33533.33532.04332.04331.01384.17594.17593.61063.61062.46462.46462.34262.3426
H102.17882.54002.47101.09583.48303.89682.16543.39594.17594.32431.76763.83234.12712.45894.93352.5175
H112.17882.54002.47103.48301.09582.16543.89683.39594.17594.32433.83231.76762.45894.12712.51754.9335
H122.16652.48673.06611.09682.82163.33372.15032.71073.61061.76763.83232.67384.01863.05884.14642.4620
H132.16652.48673.06612.82161.09682.15033.33372.71073.61063.83231.76762.67383.05884.01862.46204.1464
H142.80473.81042.64383.32962.15981.10902.71962.14592.46464.12712.45894.01863.05882.54061.77303.7040
H152.80473.81042.64382.15983.32962.71961.10902.14592.46462.45894.12713.05884.01862.54063.70401.7730
H163.47684.31913.81543.90422.17261.09553.36222.08742.34264.93352.51754.14642.46201.77303.70404.1630
H173.47684.31913.81542.17263.90423.36221.09552.08742.34262.51754.93352.46204.14643.70401.77304.1630

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.632 C1 C4 H10 110.611
C1 C4 H12 109.611 C1 C5 C6 110.632
C1 C5 H11 110.611 C1 C5 H13 109.611
H2 C1 H3 106.599 H2 C1 C4 110.537
H2 C1 C5 110.537 H3 C1 C4 109.128
H3 C1 C5 109.128 C4 C1 C5 110.801
C4 C7 N8 109.705 C4 C7 H15 108.651
C4 C7 H17 110.255 C5 C6 N8 109.705
C5 C6 H14 108.651 C5 C6 H16 110.255
C6 C5 H11 109.876 C6 C5 H13 108.577
C6 N8 C7 112.578 C6 N8 H9 110.310
C7 C4 H10 109.876 C7 C4 H12 108.577
C7 N8 H9 110.310 N8 C6 H14 112.539
N8 C6 H16 108.581 N8 C7 H15 112.539
N8 C7 H17 108.581 H10 C4 H12 107.456
H11 C5 H13 107.456 H14 C6 H16 107.075
H15 C7 H17 107.075
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.185      
2 H 0.089      
3 H 0.090      
4 C -0.165      
5 C -0.165      
6 C -0.144      
7 C -0.144      
8 N -0.282      
9 H 0.213      
10 H 0.086      
11 H 0.086      
12 H 0.100      
13 H 0.100      
14 H 0.069      
15 H 0.069      
16 H 0.091      
17 H 0.091      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.598 -0.453 0.000 0.750
CHELPG        
AIM        
ESP        


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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at G4
 hartrees
Energy at 0K-251.700978
Energy at 298.15K-251.715772
HF Energy-251.924908
Nuclear repulsion energy258.156027
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/6-31G(2df,p)
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' 3490 3368 1.04      
2 A' 3068 2961 73.63      
3 A' 3062 2954 40.65      
4 A' 3056 2949 49.26      
5 A' 3012 2907 56.89      
6 A' 3008 2902 34.36      
7 A' 3006 2900 3.92      
8 A' 1500 1448 1.52      
9 A' 1484 1432 7.92      
10 A' 1483 1431 1.29      
11 A' 1400 1351 7.00      
12 A' 1380 1332 0.81      
13 A' 1340 1293 0.25      
14 A' 1279 1235 8.29      
15 A' 1192 1151 2.82      
16 A' 1049 1013 0.99      
17 A' 1013 978 7.19      
18 A' 920 888 11.45      
19 A' 861 831 27.51      
20 A' 818 790 1.88      
21 A' 761 734 94.15      
22 A' 548 528 1.81      
23 A' 436 420 0.98      
24 A' 380 367 5.10      
25 A' 235 226 4.57      
26 A" 3066 2958 35.97      
27 A" 3054 2947 76.11      
28 A" 3008 2903 0.94      
29 A" 3001 2896 39.86      
30 A" 1497 1444 6.36      
31 A" 1480 1428 1.78      
32 A" 1469 1418 2.27      
33 A" 1382 1334 4.09      
34 A" 1368 1320 1.80      
35 A" 1351 1304 0.44      
36 A" 1299 1254 0.92      
37 A" 1212 1170 13.31      
38 A" 1122 1083 9.79      
39 A" 1118 1078 11.07      
40 A" 1063 1026 2.61      
41 A" 948 915 3.67      
42 A" 873 843 0.02      
43 A" 805 777 0.21      
44 A" 454 438 0.71      
45 A" 229 221 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 34788.9 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 33571.3 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/6-31G(2df,p)
ABC
0.14946 0.14612 0.08412

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.642 1.327 0.000
H2 0.579 2.421 0.000
H3 1.712 1.077 0.000
C4 -0.009 0.747 1.265
C5 -0.009 0.747 -1.265
C6 -0.009 -0.791 -1.216
C7 -0.009 -0.791 1.216
N8 -0.605 -1.352 0.000
H9 -1.602 -1.153 0.000
H10 0.511 1.097 2.165
H11 0.511 1.097 -2.165
H12 -1.046 1.103 1.340
H13 -1.046 1.103 -1.340
H14 1.027 -1.153 -1.272
H15 1.027 -1.153 1.272
H16 -0.534 -1.207 -2.082
H17 -0.534 -1.207 2.082

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09561.09931.53621.53622.52762.52762.95493.34492.18072.18072.16722.16722.81432.81433.48463.4846
H21.09561.75812.17932.17933.48453.48453.95444.18752.53842.53842.48552.48553.82043.82044.32894.3289
H31.09931.75812.16122.16122.81572.81573.35633.99452.47572.47573.06703.06702.65702.65703.82063.8206
C41.53622.17932.16122.52912.91821.53842.52142.78321.09693.48591.09922.82603.33472.16433.91082.1820
C51.53622.17932.16122.52911.53842.91822.52142.78323.48591.09692.82601.09922.16433.33472.18203.9108
C62.52763.48452.81572.91821.53842.43141.46532.03633.90652.17613.34572.16271.09952.71961.09553.3655
C72.52763.48452.81571.53842.91822.43141.46532.03632.17613.90652.16273.34572.71961.09953.36551.0955
N82.95493.95443.35632.52142.52141.46531.46531.01673.45353.45352.83102.83102.07912.07912.08872.0887
H93.34494.18753.99452.78322.78322.03632.03631.01673.77003.77002.68212.68212.92122.92122.34082.3408
H102.18072.53842.47571.09693.48593.90652.17613.45353.77004.32911.76203.83494.14042.47534.94342.5312
H112.18072.53842.47573.48591.09692.17613.90653.45353.77004.32913.83491.76202.47534.14042.53124.9434
H122.16722.48553.06701.09922.82603.34572.16272.83102.68211.76203.83492.68004.02673.06514.16052.4794
H132.16722.48553.06702.82601.09922.16273.34572.83102.68213.83491.76202.68003.06514.02672.47944.1605
H142.81433.82042.65703.33472.16431.09952.71962.07912.92124.14042.47534.02673.06512.54471.76023.7009
H152.81433.82042.65702.16433.33472.71961.09952.07912.92122.47534.14043.06514.02672.54473.70091.7602
H163.48464.32893.82063.91082.18201.09553.36552.08872.34084.94342.53124.16052.47941.76023.70094.1649
H173.48464.32893.82062.18203.91083.36551.09552.08872.34082.53124.94342.47944.16053.70091.76024.1649

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.603 C1 C4 H10 110.660
C1 C4 H12 109.469 C1 C5 C6 110.603
C1 C5 H11 110.660 C1 C5 H13 109.469
H2 C1 H3 106.505 H2 C1 C4 110.587
H2 C1 C5 110.587 H3 C1 C4 109.080
H3 C1 C5 109.080 C4 C1 C5 110.882
C4 C7 N8 114.078 C4 C7 H15 109.016
C4 C7 H17 110.697 C5 C6 N8 114.078
C5 C6 H14 109.016 C5 C6 H16 110.697
C6 C5 H11 110.302 C6 C5 H13 108.986
C6 N8 C7 112.477 C6 N8 H9 109.469
C7 C4 H10 110.302 C7 C4 H12 108.986
C7 N8 H9 109.469 N8 C6 H14 107.595
N8 C6 H16 108.567 N8 C7 H15 107.595
N8 C7 H17 108.567 H10 C4 H12 106.726
H11 C5 H13 106.726 H14 C6 H16 106.578
H15 C7 H17 106.578
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
2 H 0.089      
3 H 0.092      
4 C -0.185      
5 C -0.185      
6 C -0.149      
7 C -0.149      
8 N -0.273      
9 H 0.207      
10 H 0.088      
11 H 0.088      
12 H 0.085      
13 H 0.085      
14 H 0.099      
15 H 0.099      
16 H 0.094      
17 H 0.094      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.283 1.020 0.000 1.059
CHELPG        
AIM        
ESP        


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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


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