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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-400.737890
Energy at 298.15K-400.750416
HF Energy-400.737890
Nuclear repulsion energy398.789435
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 PBE1PBE/cc-pVDZ
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 3764 3619 75.48      
2 A 3570 3433 7.78      
3 A 3165 3043 15.47      
4 A 3141 3020 10.56      
5 A 3112 2992 24.27      
6 A 3106 2987 43.47      
7 A 3087 2969 15.32      
8 A 3051 2934 19.39      
9 A 2954 2841 75.28      
10 A 1868 1796 252.66      
11 A 1499 1441 0.77      
12 A 1480 1423 6.00      
13 A 1461 1404 5.25      
14 A 1450 1394 20.74      
15 A 1385 1332 40.30      
16 A 1366 1313 5.15      
17 A 1329 1278 12.95      
18 A 1317 1266 8.05      
19 A 1304 1254 1.95      
20 A 1256 1207 10.66      
21 A 1241 1193 2.06      
22 A 1222 1175 17.28      
23 A 1199 1153 49.90      
24 A 1184 1138 170.75      
25 A 1165 1120 18.50      
26 A 1104 1062 1.23      
27 A 1089 1047 2.57      
28 A 1017 978 4.29      
29 A 982 944 7.05      
30 A 948 912 4.40      
31 A 929 893 2.53      
32 A 904 869 59.80      
33 A 851 818 24.28      
34 A 791 760 4.17      
35 A 757 728 37.11      
36 A 683 656 94.45      
37 A 627 603 46.23      
38 A 594 571 12.12      
39 A 515 496 33.22      
40 A 500 481 14.57      
41 A 356 342 2.04      
42 A 263 253 3.11      
43 A 189 182 0.19      
44 A 63 61 0.30      
45 A 46 44 1.69      

Unscaled Zero Point Vibrational Energy (zpe) 31941.7 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 30711.9 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 PBE1PBE/cc-pVDZ
ABC
0.12056 0.05765 0.04637

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.048 0.148 0.801
C2 0.907 1.253 0.323
C3 1.993 0.503 -0.480
C4 1.474 -0.934 -0.563
N5 0.732 -1.067 0.682
C6 -1.355 0.170 0.007
O7 -1.903 1.159 -0.411
O8 -1.845 -1.071 -0.166
H9 -0.354 0.302 1.851
H10 1.342 1.778 1.184
H11 0.358 1.990 -0.278
H12 2.951 0.525 0.059
H13 2.155 0.940 -1.475
H14 2.281 -1.680 -0.614
H15 0.839 -1.060 -1.467
H16 0.147 -1.898 0.706
H17 -2.678 -0.964 -0.651

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53702.43582.31241.44911.52952.43572.37711.10462.17652.17333.11223.26593.28152.71852.05773.2034
C21.53701.54462.42642.35452.52782.90603.63512.19791.09811.09802.18562.21133.37132.92533.26434.3262
C32.43581.54461.52992.32513.39953.95124.15973.31412.19502.21901.09961.09922.20582.17893.25304.8984
C42.31242.42641.52991.45553.08973.97543.34483.27063.22863.14232.16692.19281.10051.11172.07434.1523
N51.44912.35452.32511.45552.51883.61882.71312.10292.95323.22642.80083.27272.11042.15191.01673.6628
C61.52952.52783.39953.08972.51881.20521.34582.10253.35332.51564.32083.88774.12692.91552.65031.8628
O72.43572.90603.95123.97543.61881.20522.24422.87273.66842.41284.91774.20125.06033.68173.84682.2727
O82.37713.63514.15973.34482.71311.34582.24422.86004.48313.77325.05914.66474.19452.98222.32650.9697
H91.10462.19793.31413.27062.10292.10252.87272.86002.34562.80903.76614.21564.11693.78012.53043.6423
H102.17651.09812.19503.22862.95323.35333.66844.48312.34561.77442.32922.90424.00893.91593.89545.2006
H112.17331.09802.21903.14233.22642.51562.41283.77322.80901.77442.99722.40124.15673.30864.01674.2525
H123.11222.18561.09962.16692.80084.32084.91775.05913.76612.32922.99721.77792.39993.04953.76185.8652
H133.26592.21131.09922.19283.27273.88774.20124.66474.21562.90422.40121.77792.76092.39434.10515.2595
H143.28153.37132.20581.10052.11044.12695.06034.19454.11694.00894.15672.39992.76091.78692.51925.0103
H152.71852.92532.17891.11172.15192.91553.68172.98223.78013.91593.30863.04952.39431.78692.43043.6111
H162.05773.26433.25302.07431.01672.65033.84682.32652.53043.89544.01673.76184.10512.51922.43043.2703
H173.20344.32624.89844.15233.66281.86282.27270.96973.64235.20064.25255.86525.25955.01033.61113.2703

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.450 C1 C2 H10 110.256
C1 C2 H11 110.013 C1 N5 C4 105.522
C1 N5 H16 111.928 C1 C6 O7 125.502
C1 C6 O8 111.370 C2 C1 N5 104.048
C2 C1 C6 111.040 C2 C1 H9 111.570
C2 C3 C4 104.221 C2 C3 H12 110.362
C2 C3 H13 112.432 C3 C2 H10 111.188
C3 C2 H11 113.131 C3 C4 N5 102.279
C3 C4 H14 112.960 C3 C4 H15 110.139
C4 C3 H12 109.909 C4 C3 H13 111.995
C4 N5 H16 112.881 N5 C1 C6 115.455
N5 C1 H9 110.138 N5 C4 H14 110.545
N5 C4 H15 113.228 C6 C1 H9 104.762
C6 O8 H17 105.975 O7 C6 O8 123.126
H10 C2 H11 107.795 H12 C3 H13 107.912
H14 C4 H15 107.742
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.083      
2 C -0.013      
3 C -0.055      
4 C 0.026      
5 N -0.208      
6 C 0.228      
7 O -0.254      
8 O -0.189      
9 H 0.058      
10 H 0.043      
11 H 0.053      
12 H 0.046      
13 H 0.035      
14 H 0.036      
15 H 0.021      
16 H 0.095      
17 H 0.160      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.005 -1.374 -0.345 1.417
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.743 5.660 -0.931
y 5.660 -49.045 2.462
z -0.931 2.462 -46.985
Traceless
 xyz
x 2.272 5.660 -0.931
y 5.660 -2.681 2.462
z -0.931 2.462 0.409
Polar
3z2-r20.817
x2-y23.302
xy5.660
xz-0.931
yz2.462


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.156 0.065 0.060
y 0.065 9.583 0.216
z 0.060 0.216 8.008


<r2> (average value of r2) Å2
<r2> 256.437
(<r2>)1/2 16.014