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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-400.710270
Energy at 298.15K-400.722452
HF Energy-400.710270
Nuclear repulsion energy394.408331
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 PBEPBE/6-31+G**
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 3633 3592 48.53      
2 A 3475 3436 5.59      
3 A 3079 3044 17.83      
4 A 3056 3021 10.75      
5 A 3030 2995 23.22      
6 A 3025 2990 46.29      
7 A 3008 2974 19.49      
8 A 2965 2932 19.22      
9 A 2868 2836 90.28      
10 A 1752 1732 253.70      
11 A 1477 1460 0.46      
12 A 1462 1446 7.61      
13 A 1443 1427 1.22      
14 A 1398 1382 20.43      
15 A 1318 1303 8.33      
16 A 1306 1291 13.14      
17 A 1284 1269 5.70      
18 A 1273 1259 22.30      
19 A 1268 1254 1.43      
20 A 1213 1200 1.31      
21 A 1197 1183 1.35      
22 A 1170 1157 15.88      
23 A 1162 1149 1.09      
24 A 1116 1103 58.14      
25 A 1102 1090 182.34      
26 A 1071 1059 8.22      
27 A 1050 1038 10.67      
28 A 974 962 5.31      
29 A 936 925 8.87      
30 A 907 897 3.40      
31 A 893 883 3.06      
32 A 856 846 52.50      
33 A 814 805 32.23      
34 A 756 748 0.90      
35 A 715 707 41.19      
36 A 654 646 102.77      
37 A 603 596 45.12      
38 A 572 565 18.33      
39 A 495 489 36.26      
40 A 469 463 13.44      
41 A 337 333 2.59      
42 A 248 245 2.50      
43 A 181 179 0.19      
44 A 60 59 0.25      
45 A 35 34 2.32      

Unscaled Zero Point Vibrational Energy (zpe) 30852.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 30500.9 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 PBEPBE/6-31+G**
ABC
0.11855 0.05607 0.04507

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.052 0.139 0.795
C2 0.916 1.260 0.331
C3 2.027 0.516 -0.470
C4 1.520 -0.937 -0.567
N5 0.743 -1.083 0.671
C6 -1.375 0.170 -0.004
O7 -1.931 1.177 -0.409
O8 -1.896 -1.079 -0.164
H9 -0.361 0.284 1.848
H10 1.339 1.780 1.202
H11 0.378 2.005 -0.271
H12 2.979 0.543 0.081
H13 2.199 0.960 -1.462
H14 2.336 -1.677 -0.601
H15 0.904 -1.068 -1.486
H16 0.173 -1.931 0.698
H17 -2.748 -0.982 -0.634

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.55212.46252.34201.46331.54682.46152.40891.10682.18912.19193.14063.29183.30942.75212.08433.2505
C21.55211.55802.44882.37382.55992.94313.69072.21061.09951.09932.19822.22453.39262.95263.29634.4022
C32.46251.55801.54192.34663.45134.01314.24523.33602.20622.23091.10091.10062.21862.19113.28405.0064
C42.34202.44881.54191.46853.15054.05043.44233.29563.24733.17012.17762.20501.10191.11402.09764.2685
N51.46332.37382.34661.46852.55203.66392.76732.11512.97243.24942.82783.29292.12342.16241.02153.7277
C61.54682.55993.45133.15052.55201.21951.36202.11543.37902.55214.37183.94014.18832.98702.70241.8986
O72.46152.94314.01314.05043.66391.21952.26962.89113.69502.45654.97554.26755.13723.77333.91292.3190
O82.40893.69074.24523.44232.76731.36202.26962.87424.52793.83285.14384.75474.29593.09612.39740.9779
H91.10682.21063.33603.29562.11512.11542.89112.87422.35472.82873.78804.23884.13763.81352.55213.6686
H102.18911.09952.20623.24732.97243.37903.69504.52792.35471.77412.34042.91734.02483.94023.92205.2629
H112.19191.09932.23093.17013.24942.55212.45653.83282.82871.77413.00502.41374.18363.34594.05854.3381
H123.14062.19821.10092.17762.82784.37184.97555.14383.78802.34043.00501.77892.41063.05923.79175.9697
H133.29182.22451.10062.20503.29293.94014.26754.75474.23882.91732.41371.77892.77752.40624.13815.3780
H143.30943.39262.21861.10192.12344.18835.13724.29594.13764.02484.18362.41062.77751.78962.53565.1310
H152.75212.95262.19111.11402.16242.98703.77333.09613.81353.94023.34593.05922.40621.78962.45873.7508
H162.08433.29633.28402.09761.02152.70243.91292.39742.55213.92204.05853.79174.13812.53562.45873.3474
H173.25054.40225.00644.26853.72771.89862.31900.97793.66865.26294.33815.96975.37805.13103.75083.3474

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.700 C1 C2 H10 110.119
C1 C2 H11 110.353 C1 N5 C4 106.037
C1 N5 H16 112.823 C1 C6 O7 125.289
C1 C6 O8 111.663 C2 C1 N5 103.811
C2 C1 C6 111.390 C2 C1 H9 111.379
C2 C3 C4 104.359 C2 C3 H12 110.343
C2 C3 H13 112.454 C3 C2 H10 111.057
C3 C2 H11 113.045 C3 C4 N5 102.397
C3 C4 H14 113.049 C3 C4 H15 110.129
C4 C3 H12 109.841 C4 C3 H13 112.032
C4 N5 H16 113.571 N5 C1 C6 115.924
N5 C1 H9 109.994 N5 C4 H14 110.590
N5 C4 H15 112.999 C6 C1 H9 104.506
C6 O8 H17 107.322 O7 C6 O8 122.993
H10 C2 H11 107.574 H12 C3 H13 107.806
H14 C4 H15 107.729
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.112      
2 C -0.320      
3 C -0.345      
4 C -0.253      
5 N -0.295      
6 C 0.212      
7 O -0.392      
8 O -0.404      
9 H 0.193      
10 H 0.173      
11 H 0.197      
12 H 0.179      
13 H 0.170      
14 H 0.161      
15 H 0.158      
16 H 0.307      
17 H 0.369      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.259 -1.298 -0.462 1.401
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.537 6.186 -1.391
y 6.186 -50.353 2.659
z -1.391 2.659 -48.661
Traceless
 xyz
x 1.970 6.186 -1.391
y 6.186 -2.254 2.659
z -1.391 2.659 0.284
Polar
3z2-r20.568
x2-y22.816
xy6.186
xz-1.391
yz2.659


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.085 -0.075 0.249
y -0.075 11.329 0.135
z 0.249 0.135 9.627


<r2> (average value of r2) Å2
<r2> 263.289
(<r2>)1/2 16.226